Time bar (total: 1.5min)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 74.9% | 25.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 74.9% | 25.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 74.9% | 25.1% | 0% | 0% | 0% | 2 |
| 25% | 18.7% | 56.2% | 25.1% | 0% | 0% | 0% | 3 |
| 50% | 37.5% | 37.5% | 25.1% | 0% | 0% | 0% | 4 |
| 56.3% | 42.1% | 32.8% | 25.1% | 0% | 0% | 0% | 5 |
| 62.5% | 46.8% | 28.1% | 25.1% | 0% | 0% | 0% | 6 |
| 64.1% | 48% | 26.9% | 25.1% | 0% | 0% | 0% | 7 |
| 65.6% | 49.2% | 25.8% | 25.1% | 0% | 0% | 0% | 8 |
| 66% | 49.5% | 25.5% | 25.1% | 0% | 0% | 0% | 9 |
| 66.4% | 49.8% | 25.2% | 25.1% | 0% | 0% | 0% | 10 |
| 66.4% | 49.8% | 25.2% | 25.1% | 0% | 0% | 0% | 11 |
| 66.5% | 49.8% | 25.1% | 25.1% | 0% | 0% | 0% | 12 |
Compiled 127 to 112 computations (11.8% saved)
| 58.6s | 3931× | body | 8192 | exit |
| 5.2s | 8256× | body | 256 | valid |
| 76.0ms | 95× | body | 256 | unsamplable |
| 46.0ms | 84× | body | 256 | infinite |
| 2× | egg-herbie |
| 1204× | associate-/r* |
| 820× | associate-/l* |
| 724× | associate-+r- |
| 702× | associate-+l- |
| 684× | associate-+l+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 311 |
| 1 | 163 | 293 |
| 2 | 616 | 237 |
| 3 | 4046 | 229 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))) |
| Outputs |
|---|
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
Compiled 125 to 111 computations (11.2% saved)
| 1× | egg-herbie |
| 1204× | associate-/r* |
| 820× | associate-/l* |
| 724× | associate-+r- |
| 702× | associate-+l- |
| 684× | associate-+l+ |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 311 |
| 1 | 163 | 293 |
| 2 | 616 | 237 |
| 3 | 4046 | 229 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))) |
| Outputs |
|---|
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
Compiled 470 to 383 computations (18.5% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 5 | 5 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 6 | 6 |
| Status | Error | Program |
|---|---|---|
| ▶ | 1.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))) |
| ▶ | 0.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))) |
| ▶ | 1.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
| ▶ | 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) |
| ▶ | 1.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
Compiled 948 to 806 computations (15% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3))) |
| ✓ | 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) |
| ✓ | 2.8b | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) |
| ✓ | 6.8b | (+.f64 (-.f64 1 z) -1) |
Compiled 656 to 554 computations (15.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | -inf | (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3))) |
| 0.0ms | z | @ | 0 | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) |
| 0.0ms | z | @ | inf | (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3))) |
| 0.0ms | z | @ | -inf | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) |
| 0.0ms | z | @ | inf | (+.f64 (-.f64 1 z) -1) |
| 1× | batch-egg-rewrite |
| 738× | add-sqr-sqrt |
| 696× | add-cbrt-cube |
| 696× | add-cube-cbrt |
| 694× | add-exp-log |
| 692× | add-log-exp |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 112 |
| 1 | 762 | 106 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (-.f64 1 z) -1) |
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) |
(sqrt.f64 (*.f64 (PI.f64) 2)) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 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((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (cbrt.f64 (*.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/4) (pow.f64 (*.f64 (PI.f64) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1/2) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (PI.f64) 2) (sqrt.f64 (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 2)) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 1/2) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2) (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 2)) (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 3) (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 3)) (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2) (*.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (*.f64 (-.f64 1 z) 7713234287776531/10000000000000) 23139702863329593/10000000000000) (*.f64 (+.f64 (-.f64 1 z) 2) -883075145810703/5000000000000)) (*.f64 (+.f64 (-.f64 1 z) 2) (+.f64 (-.f64 1 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (+.f64 (*.f64 (-.f64 1 z) 7713234287776531/10000000000000) 23139702863329593/10000000000000) (*.f64 (+.f64 (-.f64 1 z) 2) -883075145810703/5000000000000)) (+.f64 (-.f64 1 z) 2)) (+.f64 (-.f64 1 z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))))))) |
| 1× | egg-herbie |
| 1454× | associate-*r* |
| 1298× | associate-*l* |
| 1074× | distribute-lft-in |
| 904× | distribute-rgt-in |
| 536× | associate-/r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 272 | 3762 |
| 1 | 649 | 3276 |
| 2 | 2146 | 3256 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 z) |
(*.f64 -1 z) |
(*.f64 -1 z) |
(*.f64 -1 z) |
(*.f64 -1 z) |
(*.f64 -1 z) |
(*.f64 -1 z) |
(*.f64 -1 z) |
(*.f64 -1 z) |
(*.f64 -1 z) |
(*.f64 -1 z) |
(*.f64 -1 z) |
479507597606835099/10000000000000000 |
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) |
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))) |
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)))) |
9999999999998099/10000000000000000 |
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))) |
9999999999998099/10000000000000000 |
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))) |
12777243138120953/60000000000000 |
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z)) |
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z))) |
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 36630596080989161/4147200000000000 (pow.f64 z 3)) (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z)))) |
(/.f64 -47576671969241/80000000000 z) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3)))))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))))))) |
(/.f64 -47576671969241/80000000000 z) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3)))))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))))))) |
(-.f64 1 (-.f64 z -1)) |
(-.f64 1 (-.f64 (+.f64 z 0) -1)) |
(-.f64 (-.f64 1 z) 1) |
(-.f64 (-.f64 0 z) 0) |
(-.f64 0 z) |
(-.f64 0 (+.f64 z 0)) |
(*.f64 1 (-.f64 0 z)) |
(*.f64 (-.f64 0 z) 1) |
(*.f64 (sqrt.f64 (-.f64 0 z)) (sqrt.f64 (-.f64 0 z))) |
(*.f64 (cbrt.f64 (-.f64 0 z)) (cbrt.f64 (pow.f64 (-.f64 0 z) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 0 z) 2)) (cbrt.f64 (-.f64 0 z))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) (-.f64 (pow.f64 (-.f64 1 z) 2) 1)) (-.f64 0 z)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) (-.f64 (pow.f64 (-.f64 1 z) 3) -1)) (+.f64 (pow.f64 (-.f64 1 z) 2) (+.f64 1 (neg.f64 (-.f64 1 z))))) |
(*.f64 (+.f64 (sqrt.f64 (-.f64 1 z)) 1) (-.f64 (sqrt.f64 (-.f64 1 z)) 1)) |
(*.f64 (pow.f64 (-.f64 0 z) 1/2) (pow.f64 (-.f64 0 z) 1/2)) |
(/.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) (+.f64 1 (-.f64 1 z))) |
(/.f64 (+.f64 -1 (pow.f64 (-.f64 1 z) 3)) (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 1 (neg.f64 (-.f64 1 z))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) 1) (+.f64 1 (-.f64 1 z))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) (sqrt.f64 (+.f64 1 (-.f64 1 z)))) (sqrt.f64 (+.f64 1 (-.f64 1 z)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) (cbrt.f64 (pow.f64 (+.f64 1 (-.f64 1 z)) 2))) (cbrt.f64 (+.f64 1 (-.f64 1 z)))) |
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 z) 2)) (-.f64 -1 (-.f64 1 z))) |
(pow.f64 (-.f64 0 z) 1) |
(log.f64 (exp.f64 (-.f64 0 z))) |
(cbrt.f64 (*.f64 (-.f64 0 z) (pow.f64 (-.f64 0 z) 2))) |
(expm1.f64 (log1p.f64 (-.f64 0 z))) |
(exp.f64 (log.f64 (-.f64 0 z))) |
(log1p.f64 (expm1.f64 (-.f64 0 z))) |
(*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) |
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 1) |
(*.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) |
(*.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 2)) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) |
(*.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 1/2) (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 1/2)) |
(/.f64 (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 2)) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 3)) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))) |
(/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 2) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) |
(pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 1) |
(log.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) |
(cbrt.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 2))) |
(expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) |
(exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) |
(log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) |
(*.f64 1 (sqrt.f64 (*.f64 (PI.f64) 2))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1) |
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) |
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (cbrt.f64 (*.f64 (PI.f64) 2))) |
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) |
(*.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/4) (pow.f64 (*.f64 (PI.f64) 2) 1/4)) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1/2) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1/2)) |
(pow.f64 (*.f64 (PI.f64) 2) 1/2) |
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) |
(cbrt.f64 (*.f64 (*.f64 (PI.f64) 2) (sqrt.f64 (*.f64 (PI.f64) 2)))) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) |
(*.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) |
(*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 1) |
(*.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) |
(*.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 2)) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) |
(*.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 1/2) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 1/2)) |
(/.f64 (-.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2) (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 2)) (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 3) (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 3)) (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2) (*.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))) |
(/.f64 (+.f64 (+.f64 (*.f64 (-.f64 1 z) 7713234287776531/10000000000000) 23139702863329593/10000000000000) (*.f64 (+.f64 (-.f64 1 z) 2) -883075145810703/5000000000000)) (*.f64 (+.f64 (-.f64 1 z) 2) (+.f64 (-.f64 1 z) 3))) |
(/.f64 (/.f64 (+.f64 (+.f64 (*.f64 (-.f64 1 z) 7713234287776531/10000000000000) 23139702863329593/10000000000000) (*.f64 (+.f64 (-.f64 1 z) 2) -883075145810703/5000000000000)) (+.f64 (-.f64 1 z) 2)) (+.f64 (-.f64 1 z) 3)) |
(/.f64 (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) |
(pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 1) |
(log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) |
(cbrt.f64 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 2))) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) |
(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) |
| Outputs |
|---|
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
479507597606835099/10000000000000000 |
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) |
(+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000)) |
(fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000) |
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))) |
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000))) |
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000)) |
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)))) |
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000)))) |
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000))) |
9999999999998099/10000000000000000 |
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))) |
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (/.f64 3683516130645841/2000000000000 (*.f64 z z))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 (/.f64 3683516130645841/2000000000000 z) z))) |
(+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 3683516130645841/2000000000000 (*.f64 z z)))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))) |
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))) |
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (/.f64 (/.f64 3683516130645841/2000000000000 z) z))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))) |
9999999999998099/10000000000000000 |
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
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(/.f64 (+.f64 (fma.f64 (-.f64 1 z) 7713234287776531/10000000000000 23139702863329593/10000000000000) (*.f64 (+.f64 2 (-.f64 1 z)) -883075145810703/5000000000000)) (*.f64 (+.f64 2 (-.f64 1 z)) (+.f64 3 (-.f64 1 z)))) |
(/.f64 (fma.f64 (-.f64 3 z) -883075145810703/5000000000000 (fma.f64 (-.f64 1 z) 7713234287776531/10000000000000 23139702863329593/10000000000000)) (*.f64 (-.f64 3 z) (-.f64 4 z))) |
(/.f64 (fma.f64 (-.f64 3 z) -883075145810703/5000000000000 (+.f64 7713234287776531/2500000000000 (*.f64 z -7713234287776531/10000000000000))) (*.f64 (-.f64 3 z) (-.f64 4 z))) |
(/.f64 (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) 2)) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z)))) |
(pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 1) |
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z)))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
(log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z)))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
(cbrt.f64 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 2))) |
(cbrt.f64 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z)))) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z)))) 2))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z)))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z)))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z)))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
| ✓ | 1.0b | (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) |
| ✓ | 1.0b | (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) |
Compiled 498 to 393 computations (21.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | inf | (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) |
| 0.0ms | z | @ | 0 | (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) |
| 0.0ms | z | @ | -inf | (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) |
| 0.0ms | z | @ | inf | (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
| 0.0ms | z | @ | 0 | (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
| 1× | batch-egg-rewrite |
| 788× | add-sqr-sqrt |
| 752× | add-exp-log |
| 752× | add-cbrt-cube |
| 752× | add-log-exp |
| 752× | log1p-expm1-u |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 111 |
| 1 | 772 | 111 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 3 z)) 7713234287776531/10000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))) |
| 1× | egg-herbie |
| 1512× | fma-def |
| 1268× | distribute-lft-in |
| 1112× | distribute-rgt-in |
| 712× | *-commutative |
| 532× | +-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 212 | 3029 |
| 1 | 567 | 2941 |
| 2 | 2335 | 2739 |
| 1× | node limit |
| Inputs |
|---|
4560878540298521/15000000000000 |
(+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z)) |
(+.f64 4560878540298521/15000000000000 (+.f64 (*.f64 40269435042492127/90000000000000 z) (*.f64 295755570232608827/540000000000000 (pow.f64 z 2)))) |
(+.f64 4560878540298521/15000000000000 (+.f64 (*.f64 40269435042492127/90000000000000 z) (+.f64 (*.f64 295755570232608827/540000000000000 (pow.f64 z 2)) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3))))) |
(/.f64 -943522900885677/5000000000000 z) |
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(neg.f64 (+.f64 (*.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z))))) |
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(/.f64 -943522900885677/5000000000000 z) |
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(neg.f64 (+.f64 (*.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z))))) |
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-6251307572601308353/150000000000000000 |
(-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) |
(-.f64 (+.f64 (*.f64 -9487795309719323173/900000000000000000 z) (*.f64 -1795630016662247729/675000000000000000 (pow.f64 z 2))) 6251307572601308353/150000000000000000) |
(-.f64 (+.f64 (*.f64 -217079232301479335353/324000000000000000000 (pow.f64 z 3)) (+.f64 (*.f64 -9487795309719323173/900000000000000000 z) (*.f64 -1795630016662247729/675000000000000000 (pow.f64 z 2)))) 6251307572601308353/150000000000000000) |
(/.f64 2053078212233992689/12500000000000000 z) |
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(/.f64 2053078212233992689/12500000000000000 z) |
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(+.f64 (*.f64 16118870670668054893/25000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 62953636101416072483/25000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 2053078212233992689/12500000000000000 (/.f64 1 z)))) |
(+.f64 (*.f64 244246882827963270523/25000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 16118870670668054893/25000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 62953636101416072483/25000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 2053078212233992689/12500000000000000 (/.f64 1 z))))) |
7713234287776531/30000000000000 |
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000) |
(+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2)))) |
(+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (+.f64 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3))))) |
(/.f64 -7713234287776531/10000000000000 z) |
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(neg.f64 (+.f64 (*.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))) |
(/.f64 -7713234287776531/10000000000000 z) |
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(*.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) |
(*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1) |
(*.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) |
(*.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (*.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 3) (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3)) (+.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) |
(pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1) |
(log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) |
(cbrt.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) |
(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) |
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(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) |
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(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 1) |
(log.f64 (exp.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))) |
(cbrt.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))) |
(exp.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))) |
(*.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) |
(*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z))) |
(*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1) |
(*.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
(*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
(*.f64 (/.f64 1 (-.f64 3 z)) 7713234287776531/10000000000000) |
(pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1) |
(log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
(cbrt.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) |
(expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
(exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
(log1p.f64 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
| Outputs |
|---|
4560878540298521/15000000000000 |
(+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z)) |
(fma.f64 40269435042492127/90000000000000 z 4560878540298521/15000000000000) |
(+.f64 4560878540298521/15000000000000 (+.f64 (*.f64 40269435042492127/90000000000000 z) (*.f64 295755570232608827/540000000000000 (pow.f64 z 2)))) |
(+.f64 4560878540298521/15000000000000 (fma.f64 40269435042492127/90000000000000 z (*.f64 295755570232608827/540000000000000 (*.f64 z z)))) |
(+.f64 4560878540298521/15000000000000 (fma.f64 40269435042492127/90000000000000 z (*.f64 z (*.f64 z 295755570232608827/540000000000000)))) |
(fma.f64 40269435042492127/90000000000000 z (fma.f64 z (*.f64 z 295755570232608827/540000000000000) 4560878540298521/15000000000000)) |
(+.f64 4560878540298521/15000000000000 (+.f64 (*.f64 40269435042492127/90000000000000 z) (+.f64 (*.f64 295755570232608827/540000000000000 (pow.f64 z 2)) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3))))) |
(+.f64 4560878540298521/15000000000000 (fma.f64 40269435042492127/90000000000000 z (fma.f64 295755570232608827/540000000000000 (*.f64 z z) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3))))) |
(+.f64 (fma.f64 40269435042492127/90000000000000 z 4560878540298521/15000000000000) (*.f64 (*.f64 z z) (+.f64 295755570232608827/540000000000000 (*.f64 z 1967803238479727281/3240000000000000)))) |
(/.f64 -943522900885677/5000000000000 z) |
(neg.f64 (+.f64 (*.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 943522900885677/5000000000000 z))) |
(+.f64 (/.f64 -1180530552525097/2500000000000 (*.f64 z z)) (/.f64 -943522900885677/5000000000000 z)) |
(+.f64 (/.f64 (/.f64 -1180530552525097/2500000000000 z) z) (/.f64 -943522900885677/5000000000000 z)) |
(neg.f64 (+.f64 (*.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 943522900885677/5000000000000 z)) (/.f64 12909371801155759/5000000000000 (pow.f64 z 3)))) |
(+.f64 (+.f64 (/.f64 -1180530552525097/2500000000000 (*.f64 z z)) (/.f64 -943522900885677/5000000000000 z)) (/.f64 -12909371801155759/5000000000000 (pow.f64 z 3))) |
(+.f64 (+.f64 (/.f64 (/.f64 -1180530552525097/2500000000000 z) z) (/.f64 -943522900885677/5000000000000 z)) (/.f64 -12909371801155759/5000000000000 (pow.f64 z 3))) |
(neg.f64 (+.f64 (*.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 28572848028348241/2500000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z)))))) |
(neg.f64 (+.f64 (/.f64 12909371801155759/5000000000000 (pow.f64 z 3)) (+.f64 (+.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 943522900885677/5000000000000 z)) (/.f64 28572848028348241/2500000000000 (pow.f64 z 4))))) |
(-.f64 (/.f64 -12909371801155759/5000000000000 (pow.f64 z 3)) (+.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 28572848028348241/2500000000000 (pow.f64 z 4))))) |
(+.f64 (+.f64 (+.f64 (/.f64 (/.f64 -1180530552525097/2500000000000 z) z) (/.f64 -943522900885677/5000000000000 z)) (/.f64 -12909371801155759/5000000000000 (pow.f64 z 3))) (/.f64 -28572848028348241/2500000000000 (pow.f64 z 4))) |
(/.f64 -943522900885677/5000000000000 z) |
(neg.f64 (+.f64 (*.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 943522900885677/5000000000000 z))) |
(+.f64 (/.f64 -1180530552525097/2500000000000 (*.f64 z z)) (/.f64 -943522900885677/5000000000000 z)) |
(+.f64 (/.f64 (/.f64 -1180530552525097/2500000000000 z) z) (/.f64 -943522900885677/5000000000000 z)) |
(neg.f64 (+.f64 (*.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 943522900885677/5000000000000 z)) (/.f64 12909371801155759/5000000000000 (pow.f64 z 3)))) |
(+.f64 (+.f64 (/.f64 -1180530552525097/2500000000000 (*.f64 z z)) (/.f64 -943522900885677/5000000000000 z)) (/.f64 -12909371801155759/5000000000000 (pow.f64 z 3))) |
(+.f64 (+.f64 (/.f64 (/.f64 -1180530552525097/2500000000000 z) z) (/.f64 -943522900885677/5000000000000 z)) (/.f64 -12909371801155759/5000000000000 (pow.f64 z 3))) |
(neg.f64 (+.f64 (*.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 28572848028348241/2500000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z)))))) |
(neg.f64 (+.f64 (/.f64 12909371801155759/5000000000000 (pow.f64 z 3)) (+.f64 (+.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 943522900885677/5000000000000 z)) (/.f64 28572848028348241/2500000000000 (pow.f64 z 4))))) |
(-.f64 (/.f64 -12909371801155759/5000000000000 (pow.f64 z 3)) (+.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 28572848028348241/2500000000000 (pow.f64 z 4))))) |
(+.f64 (+.f64 (+.f64 (/.f64 (/.f64 -1180530552525097/2500000000000 z) z) (/.f64 -943522900885677/5000000000000 z)) (/.f64 -12909371801155759/5000000000000 (pow.f64 z 3))) (/.f64 -28572848028348241/2500000000000 (pow.f64 z 4))) |
-6251307572601308353/150000000000000000 |
(-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) |
(fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) |
(fma.f64 z -9487795309719323173/900000000000000000 -6251307572601308353/150000000000000000) |
(-.f64 (+.f64 (*.f64 -9487795309719323173/900000000000000000 z) (*.f64 -1795630016662247729/675000000000000000 (pow.f64 z 2))) 6251307572601308353/150000000000000000) |
(+.f64 (fma.f64 -9487795309719323173/900000000000000000 z (*.f64 (*.f64 z z) -1795630016662247729/675000000000000000)) -6251307572601308353/150000000000000000) |
(fma.f64 z -9487795309719323173/900000000000000000 (fma.f64 (*.f64 z z) -1795630016662247729/675000000000000000 -6251307572601308353/150000000000000000)) |
(fma.f64 z -9487795309719323173/900000000000000000 (fma.f64 z (*.f64 z -1795630016662247729/675000000000000000) -6251307572601308353/150000000000000000)) |
(-.f64 (+.f64 (*.f64 -217079232301479335353/324000000000000000000 (pow.f64 z 3)) (+.f64 (*.f64 -9487795309719323173/900000000000000000 z) (*.f64 -1795630016662247729/675000000000000000 (pow.f64 z 2)))) 6251307572601308353/150000000000000000) |
(+.f64 (fma.f64 -217079232301479335353/324000000000000000000 (pow.f64 z 3) (fma.f64 -9487795309719323173/900000000000000000 z (*.f64 (*.f64 z z) -1795630016662247729/675000000000000000))) -6251307572601308353/150000000000000000) |
(fma.f64 (pow.f64 z 3) -217079232301479335353/324000000000000000000 (fma.f64 z -9487795309719323173/900000000000000000 (fma.f64 (*.f64 z z) -1795630016662247729/675000000000000000 -6251307572601308353/150000000000000000))) |
(fma.f64 (pow.f64 z 3) -217079232301479335353/324000000000000000000 (fma.f64 z -9487795309719323173/900000000000000000 (fma.f64 z (*.f64 z -1795630016662247729/675000000000000000) -6251307572601308353/150000000000000000))) |
(/.f64 2053078212233992689/12500000000000000 z) |
(+.f64 (*.f64 16118870670668054893/25000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 2053078212233992689/12500000000000000 (/.f64 1 z))) |
(+.f64 (/.f64 16118870670668054893/25000000000000000 (*.f64 z z)) (/.f64 2053078212233992689/12500000000000000 z)) |
(+.f64 (*.f64 16118870670668054893/25000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 62953636101416072483/25000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 2053078212233992689/12500000000000000 (/.f64 1 z)))) |
(+.f64 (/.f64 16118870670668054893/25000000000000000 (*.f64 z z)) (+.f64 (/.f64 2053078212233992689/12500000000000000 z) (/.f64 62953636101416072483/25000000000000000 (pow.f64 z 3)))) |
(+.f64 (*.f64 244246882827963270523/25000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 16118870670668054893/25000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 62953636101416072483/25000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 2053078212233992689/12500000000000000 (/.f64 1 z))))) |
(+.f64 (+.f64 (/.f64 16118870670668054893/25000000000000000 (*.f64 z z)) (+.f64 (/.f64 2053078212233992689/12500000000000000 z) (/.f64 62953636101416072483/25000000000000000 (pow.f64 z 3)))) (/.f64 244246882827963270523/25000000000000000 (pow.f64 z 4))) |
(+.f64 (+.f64 (/.f64 2053078212233992689/12500000000000000 z) (/.f64 62953636101416072483/25000000000000000 (pow.f64 z 3))) (+.f64 (/.f64 16118870670668054893/25000000000000000 (*.f64 z z)) (/.f64 244246882827963270523/25000000000000000 (pow.f64 z 4)))) |
(+.f64 (+.f64 (/.f64 16118870670668054893/25000000000000000 (*.f64 z z)) (/.f64 2053078212233992689/12500000000000000 z)) (+.f64 (/.f64 62953636101416072483/25000000000000000 (pow.f64 z 3)) (/.f64 244246882827963270523/25000000000000000 (pow.f64 z 4)))) |
(/.f64 2053078212233992689/12500000000000000 z) |
(+.f64 (*.f64 16118870670668054893/25000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 2053078212233992689/12500000000000000 (/.f64 1 z))) |
(+.f64 (/.f64 16118870670668054893/25000000000000000 (*.f64 z z)) (/.f64 2053078212233992689/12500000000000000 z)) |
(+.f64 (*.f64 16118870670668054893/25000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 62953636101416072483/25000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 2053078212233992689/12500000000000000 (/.f64 1 z)))) |
(+.f64 (/.f64 16118870670668054893/25000000000000000 (*.f64 z z)) (+.f64 (/.f64 2053078212233992689/12500000000000000 z) (/.f64 62953636101416072483/25000000000000000 (pow.f64 z 3)))) |
(+.f64 (*.f64 244246882827963270523/25000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 16118870670668054893/25000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 62953636101416072483/25000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 2053078212233992689/12500000000000000 (/.f64 1 z))))) |
(+.f64 (+.f64 (/.f64 16118870670668054893/25000000000000000 (*.f64 z z)) (+.f64 (/.f64 2053078212233992689/12500000000000000 z) (/.f64 62953636101416072483/25000000000000000 (pow.f64 z 3)))) (/.f64 244246882827963270523/25000000000000000 (pow.f64 z 4))) |
(+.f64 (+.f64 (/.f64 2053078212233992689/12500000000000000 z) (/.f64 62953636101416072483/25000000000000000 (pow.f64 z 3))) (+.f64 (/.f64 16118870670668054893/25000000000000000 (*.f64 z z)) (/.f64 244246882827963270523/25000000000000000 (pow.f64 z 4)))) |
(+.f64 (+.f64 (/.f64 16118870670668054893/25000000000000000 (*.f64 z z)) (/.f64 2053078212233992689/12500000000000000 z)) (+.f64 (/.f64 62953636101416072483/25000000000000000 (pow.f64 z 3)) (/.f64 244246882827963270523/25000000000000000 (pow.f64 z 4)))) |
7713234287776531/30000000000000 |
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000) |
(fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000) |
(fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000) |
(+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2)))) |
(+.f64 (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000) (*.f64 (*.f64 z z) 7713234287776531/270000000000000)) |
(fma.f64 z 7713234287776531/90000000000000 (fma.f64 (*.f64 z z) 7713234287776531/270000000000000 7713234287776531/30000000000000)) |
(fma.f64 z (*.f64 z 7713234287776531/270000000000000) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000)) |
(+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (+.f64 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3))))) |
(+.f64 (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000) (fma.f64 7713234287776531/270000000000000 (*.f64 z z) (*.f64 (pow.f64 z 3) 7713234287776531/810000000000000))) |
(+.f64 (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000) (fma.f64 (*.f64 z z) 7713234287776531/270000000000000 (*.f64 (pow.f64 z 3) 7713234287776531/810000000000000))) |
(fma.f64 z 7713234287776531/90000000000000 (fma.f64 z (*.f64 z 7713234287776531/270000000000000) (fma.f64 (pow.f64 z 3) 7713234287776531/810000000000000 7713234287776531/30000000000000))) |
(/.f64 -7713234287776531/10000000000000 z) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z))) |
(+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z)) |
(+.f64 (/.f64 (/.f64 -23139702863329593/10000000000000 z) z) (/.f64 -7713234287776531/10000000000000 z)) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))) |
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))) |
(-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))) |
(+.f64 (+.f64 (/.f64 (/.f64 -23139702863329593/10000000000000 z) z) (/.f64 -7713234287776531/10000000000000 z)) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3))) |
(neg.f64 (+.f64 (*.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))) |
(neg.f64 (+.f64 (/.f64 208257325769966337/10000000000000 (pow.f64 z 4)) (+.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z)) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))) |
(+.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))) |
(+.f64 (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3)) (-.f64 (+.f64 (/.f64 (/.f64 -23139702863329593/10000000000000 z) z) (/.f64 -7713234287776531/10000000000000 z)) (/.f64 208257325769966337/10000000000000 (pow.f64 z 4)))) |
(/.f64 -7713234287776531/10000000000000 z) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z))) |
(+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z)) |
(+.f64 (/.f64 (/.f64 -23139702863329593/10000000000000 z) z) (/.f64 -7713234287776531/10000000000000 z)) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))) |
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))) |
(-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))) |
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(/.f64 (+.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 3) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 3)) (+.f64 (*.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (-.f64 (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (*.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) |
(/.f64 (+.f64 (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3)) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 3)) (fma.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (-.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 3) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 3)) (fma.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (-.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (-.f64 5 z)) (-.f64 5 z)))) |
(/.f64 (+.f64 (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3)) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 3)) (fma.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (-.f64 5 z)) (-.f64 5 z)))) |
(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 1) |
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) |
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) |
(log.f64 (exp.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) |
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) |
(cbrt.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) |
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) |
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) |
(exp.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) |
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) |
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) |
(*.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(*.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(*.f64 (/.f64 1 (-.f64 3 z)) 7713234287776531/10000000000000) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(cbrt.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(log1p.f64 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) |
| ✓ | 1.0b | (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
| ✓ | 1.0b | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) |
Compiled 477 to 364 computations (23.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) |
| 1.0ms | z | @ | -inf | (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) |
| 1.0ms | z | @ | 0 | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) |
| 0.0ms | z | @ | inf | (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) |
| 0.0ms | z | @ | inf | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) |
| 1× | batch-egg-rewrite |
| 996× | add-sqr-sqrt |
| 946× | add-exp-log |
| 946× | add-log-exp |
| 944× | add-cbrt-cube |
| 944× | add-cube-cbrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 179 |
| 1 | 979 | 179 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
(*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 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| 1× | egg-herbie |
| 1084× | associate-+r+ |
| 1076× | associate-+l+ |
| 996× | *-commutative |
| 826× | +-commutative |
| 450× | associate--r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 227 | 4344 |
| 1 | 679 | 3842 |
| 2 | 2865 | 3502 |
| 1× | node limit |
| Inputs |
|---|
7902188421553103227/30000000000000000 |
(+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) |
(+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2)) (*.f64 39321001939258358983/90000000000000000 z))) |
(+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 196563279258445065194677/324000000000000000000 (pow.f64 z 3)) (+.f64 (*.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2)) (*.f64 39321001939258358983/90000000000000000 z)))) |
9999999999998099/10000000000000000 |
(-.f64 9999999999998099/10000000000000000 (*.f64 4919378858736341/200000000000000 (/.f64 1 z))) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z))) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 2748699024162993/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z)))) |
9999999999998099/10000000000000000 |
(-.f64 9999999999998099/10000000000000000 (*.f64 4919378858736341/200000000000000 (/.f64 1 z))) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z))) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 2748699024162993/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z)))) |
646366562873259793/3000000000000000 |
(+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z)) |
(+.f64 (*.f64 139903109899614281171/5400000000000000000 (pow.f64 z 2)) (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z))) |
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(/.f64 -121443148578839881/200000000000000 z) |
(neg.f64 (+.f64 (*.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 121443148578839881/200000000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (*.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 121443148578839881/200000000000000 (/.f64 1 z)) (*.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3)))))) |
(neg.f64 (+.f64 (*.f64 443431544818219937/40000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 121443148578839881/200000000000000 (/.f64 1 z)) (*.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3))))))) |
(/.f64 -121443148578839881/200000000000000 z) |
(neg.f64 (+.f64 (*.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 121443148578839881/200000000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (*.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 121443148578839881/200000000000000 (/.f64 1 z)) (*.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3)))))) |
(neg.f64 (+.f64 (*.f64 443431544818219937/40000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 121443148578839881/200000000000000 (/.f64 1 z)) (*.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3))))))) |
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) |
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z)) |
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2)))) |
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2)) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (pow.f64 z 3))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) |
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) |
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) |
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) |
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) |
(*.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) |
(*.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))) |
(/.f64 (-.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) 3)) (+.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (-.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))) |
(pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) 1) |
(log.f64 (exp.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))) |
(cbrt.f64 (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))) |
(expm1.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))) |
(exp.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))) |
(log1p.f64 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))) |
(*.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) |
(*.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3)) (+.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (-.f64 (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) |
(pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 1) |
(log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) |
(cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) |
(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) |
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) 1) |
(log.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) |
(cbrt.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) |
(exp.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) |
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) |
| Outputs |
|---|
7902188421553103227/30000000000000000 |
(+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) |
(fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) |
(+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2)) (*.f64 39321001939258358983/90000000000000000 z))) |
(+.f64 7902188421553103227/30000000000000000 (fma.f64 2943194126470171931171/5400000000000000000 (*.f64 z z) (*.f64 39321001939258358983/90000000000000000 z))) |
(+.f64 7902188421553103227/30000000000000000 (fma.f64 39321001939258358983/90000000000000000 z (*.f64 z (*.f64 z 2943194126470171931171/5400000000000000000)))) |
(+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) |
(+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 196563279258445065194677/324000000000000000000 (pow.f64 z 3)) (+.f64 (*.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2)) (*.f64 39321001939258358983/90000000000000000 z)))) |
(+.f64 7902188421553103227/30000000000000000 (fma.f64 196563279258445065194677/324000000000000000000 (pow.f64 z 3) (fma.f64 2943194126470171931171/5400000000000000000 (*.f64 z z) (*.f64 39321001939258358983/90000000000000000 z)))) |
(+.f64 7902188421553103227/30000000000000000 (fma.f64 196563279258445065194677/324000000000000000000 (pow.f64 z 3) (fma.f64 39321001939258358983/90000000000000000 z (*.f64 z (*.f64 z 2943194126470171931171/5400000000000000000))))) |
(+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (*.f64 (*.f64 z z) (+.f64 2943194126470171931171/5400000000000000000 (*.f64 z 196563279258445065194677/324000000000000000000)))) |
9999999999998099/10000000000000000 |
(-.f64 9999999999998099/10000000000000000 (*.f64 4919378858736341/200000000000000 (/.f64 1 z))) |
(-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) |
(+.f64 9999999999998099/10000000000000000 (/.f64 -4919378858736341/200000000000000 z)) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z))) |
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 -4919378858736341/200000000000000 z))) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 2748699024162993/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z)))) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (+.f64 (/.f64 4919378858736341/200000000000000 z) (/.f64 2748699024162993/40000000000000 (pow.f64 z 3)))) |
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (+.f64 (/.f64 4919378858736341/200000000000000 z) (/.f64 2748699024162993/40000000000000 (pow.f64 z 3))))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (+.f64 (/.f64 -4919378858736341/200000000000000 z) (/.f64 -2748699024162993/40000000000000 (pow.f64 z 3))))) |
9999999999998099/10000000000000000 |
(-.f64 9999999999998099/10000000000000000 (*.f64 4919378858736341/200000000000000 (/.f64 1 z))) |
(-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) |
(+.f64 9999999999998099/10000000000000000 (/.f64 -4919378858736341/200000000000000 z)) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z))) |
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 -4919378858736341/200000000000000 z))) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 2748699024162993/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z)))) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (+.f64 (/.f64 4919378858736341/200000000000000 z) (/.f64 2748699024162993/40000000000000 (pow.f64 z 3)))) |
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (+.f64 (/.f64 4919378858736341/200000000000000 z) (/.f64 2748699024162993/40000000000000 (pow.f64 z 3))))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (+.f64 (/.f64 -4919378858736341/200000000000000 z) (/.f64 -2748699024162993/40000000000000 (pow.f64 z 3))))) |
646366562873259793/3000000000000000 |
(+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z)) |
(+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)) |
(fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000) |
(+.f64 (*.f64 139903109899614281171/5400000000000000000 (pow.f64 z 2)) (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z))) |
(fma.f64 139903109899614281171/5400000000000000000 (*.f64 z z) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) |
(fma.f64 (*.f64 z z) 139903109899614281171/5400000000000000000 (fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000)) |
(+.f64 (*.f64 139903109899614281171/5400000000000000000 (pow.f64 z 2)) (+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 6764801184542762983/90000000000000000 z) (*.f64 2868249125582949494677/324000000000000000000 (pow.f64 z 3))))) |
(fma.f64 139903109899614281171/5400000000000000000 (*.f64 z z) (+.f64 646366562873259793/3000000000000000 (fma.f64 6764801184542762983/90000000000000000 z (*.f64 (pow.f64 z 3) 2868249125582949494677/324000000000000000000)))) |
(+.f64 (fma.f64 z 6764801184542762983/90000000000000000 (*.f64 (pow.f64 z 3) 2868249125582949494677/324000000000000000000)) (fma.f64 (*.f64 z z) 139903109899614281171/5400000000000000000 646366562873259793/3000000000000000)) |
(+.f64 (fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000) (*.f64 (*.f64 z z) (+.f64 (*.f64 z 2868249125582949494677/324000000000000000000) 139903109899614281171/5400000000000000000))) |
(/.f64 -121443148578839881/200000000000000 z) |
(neg.f64 (+.f64 (*.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 121443148578839881/200000000000000 (/.f64 1 z)))) |
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(*.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
(*.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
(/.f64 (-.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) |
(/.f64 (-.f64 (/.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (-.f64 3 z)) (-.f64 3 z)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) |
(/.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 1) |
(/.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3)) (+.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (-.f64 (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) |
(/.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3)) (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (-.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) |
(/.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3)) (fma.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (-.f64 3 z)) (-.f64 3 z)))) |
(/.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3)) (fma.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (-.f64 3 z)) (-.f64 3 z)))) |
(pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 1) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
(log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
(cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) |
(cbrt.f64 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) 1) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) |
(log.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) |
(cbrt.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) |
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) |
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) |
(exp.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) |
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))) |
| ✓ | 1.0b | (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| ✓ | 1.1b | (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) |
Compiled 668 to 560 computations (16.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | inf | (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))) |
| 1.0ms | z | @ | 0 | (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))) |
| 1.0ms | z | @ | -inf | (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))) |
| 0.0ms | z | @ | 0 | (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) |
| 0.0ms | z | @ | inf | (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) |
| 1× | batch-egg-rewrite |
| 1188× | add-sqr-sqrt |
| 1134× | add-exp-log |
| 1134× | add-cbrt-cube |
| 1134× | add-log-exp |
| 1134× | add-cube-cbrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 285 |
| 1 | 1145 | 285 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) |
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) |
(+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1190× | associate-+l- |
| 1098× | +-commutative |
| 1090× | associate-+r- |
| 938× | *-commutative |
| 506× | associate--r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 227 | 5628 |
| 1 | 675 | 4926 |
| 2 | 3114 | 4054 |
| 3 | 7081 | 4054 |
| 1× | node limit |
| Inputs |
|---|
469507597606837/10000000000000 |
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)) |
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) |
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)))) |
(/.f64 5826188486005177/10000000000000 z) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))) |
(/.f64 5826188486005177/10000000000000 z) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))) |
4560878540298521/15000000000000 |
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(+.f64 4560878540298521/15000000000000 (+.f64 (*.f64 40269435042492127/90000000000000 z) (+.f64 (*.f64 295755570232608827/540000000000000 (pow.f64 z 2)) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3))))) |
(/.f64 -943522900885677/5000000000000 z) |
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(/.f64 -943522900885677/5000000000000 z) |
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(neg.f64 (+.f64 (*.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 28572848028348241/2500000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z)))))) |
1106209385320415913103082059/4200000000000000000000000 |
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9999999999998099/10000000000000000 |
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(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 1078390842009938509147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)) (*.f64 398308844029173303716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))))) |
9999999999998099/10000000000000000 |
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(*.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1))))) |
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(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1))) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1))))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1))) 3)) (+.f64 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1))) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1))))))) |
(/.f64 (+.f64 (*.f64 6765203681218851/10000000000000 (-.f64 1 (-.f64 z 1))) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) (-.f64 1 (-.f64 z 1)))) |
(pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) 1) |
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(expm1.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))))) |
(exp.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))))) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))))) |
(*.f64 1 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) |
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(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1))))) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) |
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(pow.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) 1) |
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(cbrt.f64 (*.f64 (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) |
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) |
(exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) |
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) |
(*.f64 1 (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) |
(*.f64 (sqrt.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) (sqrt.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) (cbrt.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) (cbrt.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4)))))) (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (-.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))))) 3) (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) 3)) (+.f64 (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4)))))) (-.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) |
(pow.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) 1) |
(log.f64 (exp.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) |
(cbrt.f64 (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) |
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) |
(exp.f64 (log.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) |
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) |
| Outputs |
|---|
469507597606837/10000000000000 |
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)) |
(fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000) |
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) |
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) |
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000)) |
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)))) |
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)))) |
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000))) |
(/.f64 5826188486005177/10000000000000 z) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z)) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))) |
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))) |
(+.f64 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))) |
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4)))) |
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4))))) |
(/.f64 5826188486005177/10000000000000 z) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z)) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))) |
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))) |
(+.f64 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))) |
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4)))) |
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4))))) |
4560878540298521/15000000000000 |
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(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(exp.f64 (log.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) |
(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) |
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) |
(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) |
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3)) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| ✓ | 2.8b | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) |
| ✓ | 6.8b | (-.f64 (-.f64 1 z) 1) |
Compiled 894 to 784 computations (12.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | -inf | (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3)) |
| 0.0ms | z | @ | inf | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) |
| 0.0ms | z | @ | 0 | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) |
| 0.0ms | z | @ | inf | (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3)) |
| 0.0ms | z | @ | -inf | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) |
| 1× | batch-egg-rewrite |
| 568× | associate-+l+ |
| 540× | +-commutative |
| 506× | add-sqr-sqrt |
| 480× | add-exp-log |
| 480× | add-cbrt-cube |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 81 |
| 1 | 498 | 63 |
| 2 | 7092 | 63 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (-.f64 1 z) 1) |
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) |
(/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (neg.f64 z) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (-.f64 (neg.f64 z) 0) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 z) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (neg.f64 z) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 z) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 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fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (cbrt.f64 (-.f64 1 z)) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 (neg.f64 z) 2) 2)) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 7713234287776531/10000000000000 (/.f64 1 (+.f64 (neg.f64 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 (neg.f64 z) 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 (neg.f64 z) 3) 2))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (neg.f64 z) 3)) 7713234287776531/10000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -7713234287776531/10000000000000 (/.f64 1 (+.f64 -3 (neg.f64 (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 7713234287776531/10000000000000 (fma.f64 (neg.f64 z) (neg.f64 z) -9)) (+.f64 (neg.f64 z) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 7713234287776531/10000000000000 (+.f64 27 (pow.f64 (neg.f64 z) 3))) (-.f64 (+.f64 9 (pow.f64 (neg.f64 z) 2)) (*.f64 (neg.f64 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 (neg.f64 z) 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))))))) |
| 1× | egg-herbie |
| 908× | associate--r+ |
| 780× | associate-+l- |
| 678× | associate--l+ |
| 672× | associate-+r- |
| 648× | associate-*r/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 420 | 6296 |
| 1 | 1094 | 5722 |
| 2 | 4922 | 5674 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 z) |
(*.f64 -1 z) |
(*.f64 -1 z) |
(*.f64 -1 z) |
(*.f64 -1 z) |
(*.f64 -1 z) |
(*.f64 -1 z) |
(*.f64 -1 z) |
(*.f64 -1 z) |
(*.f64 -1 z) |
(*.f64 -1 z) |
(*.f64 -1 z) |
479507597606835099/10000000000000000 |
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) |
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))) |
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)))) |
9999999999998099/10000000000000000 |
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))) |
9999999999998099/10000000000000000 |
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))) |
7713234287776531/30000000000000 |
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000) |
(+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2)))) |
(+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (+.f64 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3))))) |
(/.f64 -7713234287776531/10000000000000 z) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))) |
(neg.f64 (+.f64 (*.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))) |
(/.f64 -7713234287776531/10000000000000 z) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))) |
(neg.f64 (+.f64 (*.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))) |
(+.f64 1 (+.f64 (neg.f64 z) -1)) |
(+.f64 1 (neg.f64 (+.f64 1 z))) |
(+.f64 1 (+.f64 (-.f64 (neg.f64 z) 0) -1)) |
(+.f64 (-.f64 1 z) -1) |
(+.f64 (neg.f64 z) 0) |
(+.f64 (+.f64 (neg.f64 z) 2) -2) |
(+.f64 0 (neg.f64 z)) |
(+.f64 0 (-.f64 (neg.f64 z) 0)) |
(+.f64 -1 (-.f64 1 z)) |
(+.f64 (+.f64 (neg.f64 z) -1) 1) |
(+.f64 (neg.f64 (+.f64 1 z)) 1) |
(*.f64 1 (neg.f64 z)) |
(*.f64 (neg.f64 z) 1) |
(*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z))) |
(*.f64 (sqrt.f64 (neg.f64 z)) (*.f64 (sqrt.f64 (neg.f64 z)) 1)) |
(*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z))) |
(*.f64 (cbrt.f64 (neg.f64 z)) (pow.f64 (cbrt.f64 (neg.f64 z)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 z)) 2) (cbrt.f64 (neg.f64 z))) |
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 z)) 2) (*.f64 (cbrt.f64 (neg.f64 z)) 1)) |
(*.f64 (pow.f64 (cbrt.f64 z) 2) (neg.f64 (cbrt.f64 z))) |
(*.f64 -1 z) |
(*.f64 (+.f64 (pow.f64 (-.f64 1 z) 2) -1) (/.f64 1 (+.f64 (neg.f64 z) 2))) |
(*.f64 (+.f64 -1 (pow.f64 (-.f64 1 z) 3)) (/.f64 1 (+.f64 (+.f64 (neg.f64 z) 2) (pow.f64 (-.f64 1 z) 2)))) |
(*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) |
(*.f64 (+.f64 1 (sqrt.f64 (-.f64 1 z))) (-.f64 (sqrt.f64 (-.f64 1 z)) 1)) |
(/.f64 1 (/.f64 (+.f64 (neg.f64 z) 2) (+.f64 (pow.f64 (-.f64 1 z) 2) -1))) |
(/.f64 1 (/.f64 (+.f64 (+.f64 (neg.f64 z) 2) (pow.f64 (-.f64 1 z) 2)) (+.f64 -1 (pow.f64 (-.f64 1 z) 3)))) |
(/.f64 (+.f64 (pow.f64 (-.f64 1 z) 2) -1) (+.f64 (neg.f64 z) 2)) |
(/.f64 (+.f64 -1 (pow.f64 (-.f64 1 z) 3)) (+.f64 (+.f64 (neg.f64 z) 2) (pow.f64 (-.f64 1 z) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (-.f64 1 z) 3)) (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 1 (*.f64 (-.f64 1 z) -1)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1 z) 2) -1) 1) (+.f64 (neg.f64 z) 2)) |
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (-.f64 1 z) 3)) 1) (+.f64 (+.f64 (neg.f64 z) 2) (pow.f64 (-.f64 1 z) 2))) |
(/.f64 (-.f64 1 (*.f64 (+.f64 1 z) (+.f64 1 z))) (+.f64 z 2)) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 z) 3)) (+.f64 1 (+.f64 (+.f64 1 z) (*.f64 (+.f64 1 z) (+.f64 1 z))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 1 z) 2) -1)) (neg.f64 (+.f64 (neg.f64 z) 2))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (-.f64 1 z) 3))) (neg.f64 (+.f64 (+.f64 (neg.f64 z) 2) (pow.f64 (-.f64 1 z) 2)))) |
(pow.f64 (neg.f64 z) 1) |
(pow.f64 (sqrt.f64 (neg.f64 z)) 2) |
(pow.f64 (cbrt.f64 (neg.f64 z)) 3) |
(pow.f64 (pow.f64 (neg.f64 z) 3) 1/3) |
(neg.f64 z) |
(sqrt.f64 (pow.f64 (neg.f64 z) 2)) |
(log.f64 (exp.f64 (neg.f64 z))) |
(log.f64 (/.f64 1 (exp.f64 z))) |
(log.f64 (+.f64 1 (expm1.f64 (neg.f64 z)))) |
(cbrt.f64 (pow.f64 (neg.f64 z) 3)) |
(expm1.f64 (log1p.f64 (neg.f64 z))) |
(exp.f64 (log.f64 (neg.f64 z))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 z)) 1)) |
(log1p.f64 (expm1.f64 (neg.f64 z))) |
(fma.f64 1 (-.f64 1 z) -1) |
(fma.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 (-.f64 1 z)) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (cbrt.f64 (-.f64 1 z)) -1) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))))) 1) |
(-.f64 (/.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 (neg.f64 z) 2) 2)) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))))) |
(*.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))) |
(*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) 1) |
(*.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))))) |
(*.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))) 2) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))))) |
(*.f64 (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 (neg.f64 z) 2) 2))) (/.f64 1 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))))) |
(*.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 (neg.f64 z) 2) 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))) |
(/.f64 1 (/.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 (neg.f64 z) 2) 2))))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 (neg.f64 z) 2) 3))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 (neg.f64 z) 2) 2))) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 (neg.f64 z) 2) 3))) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 (neg.f64 z) 2) 3))) (+.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 (neg.f64 z) 2) 2)) (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))))) |
(/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))) |
(/.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 (neg.f64 z) 2) 2)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) |
(/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) (*.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))))) |
(/.f64 (+.f64 (*.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2)) (*.f64 (+.f64 (neg.f64 z) 2) -2500000000000/3147848041806007)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 1)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 (+.f64 (neg.f64 z) 2) -2500000000000/3147848041806007))) |
(/.f64 (+.f64 (*.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2)) (+.f64 (neg.f64 z) 2)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) -3147848041806007/2500000000000)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (neg.f64 z) 2))) |
(/.f64 (+.f64 (*.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2)) (neg.f64 (+.f64 (neg.f64 z) 2))) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3147848041806007/2500000000000)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (neg.f64 (+.f64 (neg.f64 z) 2)))) |
(/.f64 (+.f64 (*.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3))) (*.f64 (+.f64 (neg.f64 z) 2) -2500000000000/3147848041806007)) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) 99999999999961980000000003613801/100000000000000000000000000000000) (/.f64 67652036812175649347802002964249/100000000000000000000000000000 (-.f64 1 z))) 1)) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) 99999999999961980000000003613801/100000000000000000000000000000000) (/.f64 67652036812175649347802002964249/100000000000000000000000000000 (-.f64 1 z))) (*.f64 (+.f64 (neg.f64 z) 2) -2500000000000/3147848041806007))) |
(/.f64 (+.f64 (*.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3))) (+.f64 (neg.f64 z) 2)) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) 99999999999961980000000003613801/100000000000000000000000000000000) (/.f64 67652036812175649347802002964249/100000000000000000000000000000 (-.f64 1 z))) -3147848041806007/2500000000000)) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) 99999999999961980000000003613801/100000000000000000000000000000000) (/.f64 67652036812175649347802002964249/100000000000000000000000000000 (-.f64 1 z))) (+.f64 (neg.f64 z) 2))) |
(/.f64 (+.f64 (*.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3))) (neg.f64 (+.f64 (neg.f64 z) 2))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) 99999999999961980000000003613801/100000000000000000000000000000000) (/.f64 67652036812175649347802002964249/100000000000000000000000000000 (-.f64 1 z))) 3147848041806007/2500000000000)) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) 99999999999961980000000003613801/100000000000000000000000000000000) (/.f64 67652036812175649347802002964249/100000000000000000000000000000 (-.f64 1 z))) (neg.f64 (+.f64 (neg.f64 z) 2)))) |
(/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 (*.f64 (+.f64 (neg.f64 z) 2) -2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2)))) (*.f64 (*.f64 (+.f64 (neg.f64 z) 2) -2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) |
(/.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (+.f64 (-.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (/.f64 67652036812175649347802002964249/100000000000000000000000000000 (-.f64 1 z))) (*.f64 (*.f64 (+.f64 (neg.f64 z) 2) -2500000000000/3147848041806007) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3)))))) (*.f64 (*.f64 (+.f64 (neg.f64 z) 2) -2500000000000/3147848041806007) (-.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) 99999999999961980000000003613801/100000000000000000000000000000000) (/.f64 67652036812175649347802002964249/100000000000000000000000000000 (-.f64 1 z))))) |
(/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 (+.f64 (neg.f64 z) 2) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2)))) (*.f64 (+.f64 (neg.f64 z) 2) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) |
(/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) 99999999999961980000000003613801/100000000000000000000000000000000) (/.f64 67652036812175649347802002964249/100000000000000000000000000000 (-.f64 1 z)))) (*.f64 (+.f64 (neg.f64 z) 2) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3))))) (*.f64 (+.f64 (neg.f64 z) 2) (-.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) 99999999999961980000000003613801/100000000000000000000000000000000) (/.f64 67652036812175649347802002964249/100000000000000000000000000000 (-.f64 1 z))))) |
(/.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 (neg.f64 (+.f64 (neg.f64 z) 2)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2)))) (*.f64 (neg.f64 (+.f64 (neg.f64 z) 2)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) |
(/.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (-.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) 99999999999961980000000003613801/100000000000000000000000000000000) (/.f64 67652036812175649347802002964249/100000000000000000000000000000 (-.f64 1 z)))) (*.f64 (neg.f64 (+.f64 (neg.f64 z) 2)) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3))))) (*.f64 (neg.f64 (+.f64 (neg.f64 z) 2)) (-.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) 99999999999961980000000003613801/100000000000000000000000000000000) (/.f64 67652036812175649347802002964249/100000000000000000000000000000 (-.f64 1 z))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 (neg.f64 z) 2) 2)))) (neg.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 (neg.f64 z) 2) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))) |
(pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) 1) |
(pow.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))) 2) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))) 3) |
(pow.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) 2)) |
(log.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))))) |
(exp.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))))) |
(fma.f64 1 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) |
(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) |
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (+.f64 (neg.f64 z) 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) |
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) |
(fma.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) 2) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) 1) |
(*.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) |
(*.f64 7713234287776531/10000000000000 (/.f64 1 (+.f64 (neg.f64 z) 3))) |
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 1) |
(*.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) |
(*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 (neg.f64 z) 3) 2)))) |
(*.f64 (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 (neg.f64 z) 3) 2))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) |
(*.f64 (/.f64 1 (+.f64 (neg.f64 z) 3)) 7713234287776531/10000000000000) |
(*.f64 -7713234287776531/10000000000000 (/.f64 1 (+.f64 -3 (neg.f64 (neg.f64 z))))) |
(*.f64 (/.f64 7713234287776531/10000000000000 (fma.f64 (neg.f64 z) (neg.f64 z) -9)) (+.f64 (neg.f64 z) -3)) |
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 27 (pow.f64 (neg.f64 z) 3))) (-.f64 (+.f64 9 (pow.f64 (neg.f64 z) 2)) (*.f64 (neg.f64 z) 3))) |
(pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 1) |
(pow.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) 2) |
(pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) 3) |
(pow.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 3) 1/3) |
(pow.f64 (*.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531) -1) |
(sqrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 (neg.f64 z) 3) 2))) |
(log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) |
(cbrt.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) |
(exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) |
| Outputs |
|---|
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
479507597606835099/10000000000000000 |
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) |
(+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000)) |
(fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000) |
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))) |
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000))) |
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000)) |
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(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) |
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) |
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) |
(fma.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) |
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) |
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) 2) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) |
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) |
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) |
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) |
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) 1) |
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(*.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) |
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(*.f64 7713234287776531/10000000000000 (/.f64 1 (+.f64 (neg.f64 z) 3))) |
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 1) |
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(*.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) |
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 (neg.f64 z) 3) 2)))) |
(*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 3 (neg.f64 z)) 2)))) |
(*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)))) |
(*.f64 (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 (neg.f64 z) 3) 2))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) |
(*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 3 (neg.f64 z)) 2)))) |
(*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)))) |
(*.f64 (/.f64 1 (+.f64 (neg.f64 z) 3)) 7713234287776531/10000000000000) |
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(*.f64 -7713234287776531/10000000000000 (/.f64 1 (+.f64 -3 (neg.f64 (neg.f64 z))))) |
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) |
(*.f64 (/.f64 7713234287776531/10000000000000 (fma.f64 (neg.f64 z) (neg.f64 z) -9)) (+.f64 (neg.f64 z) -3)) |
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (pow.f64 (neg.f64 z) 2) -9)) (+.f64 (neg.f64 z) -3)) |
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (*.f64 z z) -9)) (-.f64 -3 z)) |
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 27 (pow.f64 (neg.f64 z) 3))) (-.f64 (+.f64 9 (pow.f64 (neg.f64 z) 2)) (*.f64 (neg.f64 z) 3))) |
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 (pow.f64 z 3)) 27)) (+.f64 (+.f64 (pow.f64 (neg.f64 z) 2) 9) (*.f64 z 3))) |
(*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 27 (pow.f64 z 3))) (+.f64 9 (*.f64 (neg.f64 z) (-.f64 -3 z)))) |
(pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 1) |
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(pow.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) 2) |
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) 3) |
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(pow.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 3) 1/3) |
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(pow.f64 (*.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531) -1) |
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(sqrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 (neg.f64 z) 3) 2))) |
(sqrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 3 (neg.f64 z)) 2))) |
(sqrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2))) |
(log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) |
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) |
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(cbrt.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 3)) |
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) |
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) |
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) 1)) |
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(log1p.f64 (expm1.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) |
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
Compiled 170075 to 140259 computations (17.5% saved)
17 alts after pruning (16 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1471 | 16 | 1487 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 1 | 4 |
| Total | 1475 | 17 | 1492 |
| Status | Error | Program |
|---|---|---|
| ▶ | 1.6b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))) |
| 0.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) | |
| 1.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (-.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) | |
| 0.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) | |
| 1.6b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) | |
| ✓ | 1.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
| 2.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) | |
| 1.1b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) | |
| ▶ | 0.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) |
| 2.6b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 4560878540298521/15000000000000)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) | |
| 1.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))) | |
| ▶ | 2.3b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
| ▶ | 1.6b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
| ▶ | 0.9b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
| 1.1b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) | |
| 0.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) | |
| 1.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
Compiled 2207 to 1803 computations (18.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.0b | (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) | |
| ✓ | 1.0b | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
| ✓ | 1.0b | (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) |
Compiled 569 to 463 computations (18.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | inf | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
| 0.0ms | z | @ | 0 | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
| 0.0ms | z | @ | -inf | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
| 0.0ms | z | @ | inf | (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) |
| 0.0ms | z | @ | 0 | (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) |
| 1× | batch-egg-rewrite |
| 1044× | add-sqr-sqrt |
| 994× | add-cbrt-cube |
| 994× | add-cube-cbrt |
| 992× | add-exp-log |
| 992× | add-log-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 128 |
| 1 | 1016 | 128 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) |
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 3) (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3)) (+.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 3 z)) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (*.f64 (-.f64 2 z) (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 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| 1× | egg-herbie |
| 1098× | fma-def |
| 1006× | associate-/r* |
| 920× | *-commutative |
| 882× | associate-+r- |
| 802× | associate-+l- |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 166 | 2685 |
| 1 | 465 | 2569 |
| 2 | 1853 | 2321 |
| 3 | 5500 | 2321 |
| 1× | node limit |
| Inputs |
|---|
-11173853963059511/30000000000000 |
(-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000) |
(-.f64 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2))) 11173853963059511/30000000000000) |
(-.f64 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (+.f64 (*.f64 -224122754235180443/3240000000000000 (pow.f64 z 3)) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)))) 11173853963059511/30000000000000) |
(/.f64 4878157879447497/10000000000000 z) |
(+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z))) |
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))) |
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))) |
(/.f64 4878157879447497/10000000000000 z) |
(+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z))) |
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))) |
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))) |
-170836605963169966896917941/4200000000000000000000000 |
(-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 170836605963169966896917941/4200000000000000000000000) |
(-.f64 (+.f64 (*.f64 -315341357520700009111955479981/118540800000000000000000000000 (pow.f64 z 2)) (*.f64 -7438431377385067353648047161/705600000000000000000000000 z)) 170836605963169966896917941/4200000000000000000000000) |
(-.f64 (+.f64 (*.f64 -315341357520700009111955479981/118540800000000000000000000000 (pow.f64 z 2)) (+.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) (*.f64 -13342905177403410807236385630001/19914854400000000000000000000000 (pow.f64 z 3)))) 170836605963169966896917941/4200000000000000000000000) |
9999999999998099/10000000000000000 |
(+.f64 9999999999998099/10000000000000000 (*.f64 4106156171094664089637421/25000000000000000000000 (/.f64 1 z))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 4106156171094664089637421/25000000000000000000000 (/.f64 1 z)) (*.f64 4029717223322681009147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 15738405907415525446283611/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 4106156171094664089637421/25000000000000000000000 (/.f64 1 z)) (*.f64 4029717223322681009147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))))) |
9999999999998099/10000000000000000 |
(+.f64 9999999999998099/10000000000000000 (*.f64 4106156171094664089637421/25000000000000000000000 (/.f64 1 z))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 4106156171094664089637421/25000000000000000000000 (/.f64 1 z)) (*.f64 4029717223322681009147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 15738405907415525446283611/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 4106156171094664089637421/25000000000000000000000 (/.f64 1 z)) (*.f64 4029717223322681009147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))))) |
(*.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
(*.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) |
(/.f64 (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 3) (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3)) (+.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) |
(/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 3 z)) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (*.f64 (-.f64 2 z) (-.f64 3 z))) |
(pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1) |
(log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) |
(cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) |
(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) |
(*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(/.f64 (-.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 3) (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 3)) (+.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (-.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
(pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) 1) |
(log.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(cbrt.f64 (*.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
| Outputs |
|---|
-11173853963059511/30000000000000 |
(-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000) |
(fma.f64 -5154349522119383/22500000000000 z -11173853963059511/30000000000000) |
(-.f64 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2))) 11173853963059511/30000000000000) |
(+.f64 (fma.f64 -5154349522119383/22500000000000 z (*.f64 -69565428553209127/540000000000000 (*.f64 z z))) -11173853963059511/30000000000000) |
(fma.f64 -5154349522119383/22500000000000 z (fma.f64 -69565428553209127/540000000000000 (*.f64 z z) -11173853963059511/30000000000000)) |
(fma.f64 -5154349522119383/22500000000000 z (fma.f64 z (*.f64 z -69565428553209127/540000000000000) -11173853963059511/30000000000000)) |
(-.f64 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (+.f64 (*.f64 -224122754235180443/3240000000000000 (pow.f64 z 3)) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)))) 11173853963059511/30000000000000) |
(+.f64 (fma.f64 -5154349522119383/22500000000000 z (fma.f64 -224122754235180443/3240000000000000 (pow.f64 z 3) (*.f64 -69565428553209127/540000000000000 (*.f64 z z)))) -11173853963059511/30000000000000) |
(+.f64 (fma.f64 -69565428553209127/540000000000000 (*.f64 z z) (*.f64 -224122754235180443/3240000000000000 (pow.f64 z 3))) (fma.f64 -5154349522119383/22500000000000 z -11173853963059511/30000000000000)) |
(fma.f64 -5154349522119383/22500000000000 z (fma.f64 z (*.f64 z -69565428553209127/540000000000000) (fma.f64 -224122754235180443/3240000000000000 (pow.f64 z 3) -11173853963059511/30000000000000))) |
(/.f64 4878157879447497/10000000000000 z) |
(+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z))) |
(+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (/.f64 4878157879447497/10000000000000 z)) |
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))) |
(-.f64 (+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (/.f64 4878157879447497/10000000000000 z)) (/.f64 19053539921092667/10000000000000 (pow.f64 z 3))) |
(+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (+.f64 (/.f64 4878157879447497/10000000000000 z) (/.f64 -19053539921092667/10000000000000 (pow.f64 z 3)))) |
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))) |
(-.f64 (+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (/.f64 4878157879447497/10000000000000 z)) (+.f64 (/.f64 19053539921092667/10000000000000 (pow.f64 z 3)) (/.f64 107526188432174113/10000000000000 (pow.f64 z 4)))) |
(+.f64 (/.f64 4878157879447497/10000000000000 z) (-.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (+.f64 (/.f64 19053539921092667/10000000000000 (pow.f64 z 3)) (/.f64 107526188432174113/10000000000000 (pow.f64 z 4))))) |
(+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (+.f64 (/.f64 4878157879447497/10000000000000 z) (+.f64 (/.f64 -19053539921092667/10000000000000 (pow.f64 z 3)) (/.f64 -107526188432174113/10000000000000 (pow.f64 z 4))))) |
(/.f64 4878157879447497/10000000000000 z) |
(+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z))) |
(+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (/.f64 4878157879447497/10000000000000 z)) |
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))) |
(-.f64 (+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (/.f64 4878157879447497/10000000000000 z)) (/.f64 19053539921092667/10000000000000 (pow.f64 z 3))) |
(+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (+.f64 (/.f64 4878157879447497/10000000000000 z) (/.f64 -19053539921092667/10000000000000 (pow.f64 z 3)))) |
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))) |
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(/.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (/.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (-.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (-.f64 (-.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(/.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) 1) |
(/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 3) (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 3)) (+.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (-.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 3) (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 3)) (fma.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (-.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 3) (pow.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 3)) (fma.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (*.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (-.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 3) (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) 3)) (fma.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 -9999999999998099/10000000000000000 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z))))))))) |
(pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) 1) |
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) |
(log.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) |
(cbrt.f64 (*.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) |
(expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) |
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(exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
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(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) |
(log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (PI.f64) z) |
| ✓ | 0.3b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
| ✓ | 0.3b | (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) |
Compiled 149 to 111 computations (25.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 40.0ms | z | @ | -inf | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
| 2.0ms | z | @ | 0 | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
| 2.0ms | z | @ | inf | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
| 1.0ms | z | @ | 0 | (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) |
| 0.0ms | z | @ | -inf | (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) |
| 1× | batch-egg-rewrite |
| 572× | add-sqr-sqrt |
| 552× | associate-+r+ |
| 546× | *-un-lft-identity |
| 544× | pow1 |
| 532× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 137 |
| 1 | 570 | 115 |
| 2 | 7504 | 115 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (PI.f64) z) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) z))))))) |
| 1× | egg-herbie |
| 1614× | associate-/r* |
| 1398× | distribute-lft-in |
| 568× | associate-+l+ |
| 554× | associate-*r* |
| 550× | associate-+r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 309 | 5319 |
| 1 | 865 | 5133 |
| 2 | 3618 | 5121 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 z) |
(+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) |
(+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 z 3))) (/.f64 1 z))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 5) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 6)) (*.f64 1/720 (pow.f64 (PI.f64) 6)))))) (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 z 3))) (/.f64 1 z)))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
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(pow.f64 (sqrt.f64 (*.f64 (PI.f64) z)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) z)) 3) |
(pow.f64 (pow.f64 (*.f64 (PI.f64) z) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) z) 2)) |
(log.f64 (pow.f64 (exp.f64 z) (PI.f64))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) z)))) |
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) z) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 z 3))) |
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (PI.f64) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) z))) |
(exp.f64 (log.f64 (*.f64 (PI.f64) z))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) z)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) z))) |
| Outputs |
|---|
(/.f64 1 z) |
(+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) |
(fma.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2)) (/.f64 1 z)) |
(+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 z 3))) (/.f64 1 z))) |
(fma.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2)) (fma.f64 -1 (*.f64 (*.f64 (pow.f64 (PI.f64) 4) -7/360) (pow.f64 z 3)) (/.f64 1 z))) |
(fma.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2)) (-.f64 (/.f64 1 z) (*.f64 (pow.f64 (PI.f64) 4) (*.f64 -7/360 (pow.f64 z 3))))) |
(-.f64 (fma.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2)) (/.f64 1 z)) (*.f64 (pow.f64 (PI.f64) 4) (*.f64 -7/360 (pow.f64 z 3)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 5) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 6)) (*.f64 1/720 (pow.f64 (PI.f64) 6)))))) (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 z 3))) (/.f64 1 z)))) |
(fma.f64 -1 (*.f64 (pow.f64 z 5) (fma.f64 1/6 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 4) -7/360)) (*.f64 (pow.f64 (PI.f64) 6) 1/840))) (fma.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2)) (fma.f64 -1 (*.f64 (*.f64 (pow.f64 (PI.f64) 4) -7/360) (pow.f64 z 3)) (/.f64 1 z)))) |
(-.f64 (fma.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2)) (-.f64 (/.f64 1 z) (*.f64 (pow.f64 (PI.f64) 4) (*.f64 -7/360 (pow.f64 z 3))))) (*.f64 (pow.f64 z 5) (fma.f64 1/6 (*.f64 (pow.f64 (PI.f64) 6) -7/360) (*.f64 (pow.f64 (PI.f64) 6) 1/840)))) |
(-.f64 (-.f64 (fma.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2)) (/.f64 1 z)) (*.f64 (pow.f64 (PI.f64) 4) (*.f64 -7/360 (pow.f64 z 3)))) (*.f64 (pow.f64 z 5) (fma.f64 1/6 (*.f64 (pow.f64 (PI.f64) 6) -7/360) (*.f64 (pow.f64 (PI.f64) 6) 1/840)))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) |
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))))) z) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 (neg.f64 (log.f64 15/2)) 14/15) (sqrt.f64 15/2)))) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (*.f64 (+.f64 (neg.f64 (log.f64 15/2)) 14/15) (sqrt.f64 15/2)))))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (PI.f64)) (*.f64 -1/6 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64)))))) z) (sqrt.f64 (pow.f64 (PI.f64) 3)))))) |
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))) (*.f64 (+.f64 (/.f64 (sqrt.f64 2) (/.f64 (PI.f64) (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2))))) (*.f64 1/6 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (PI.f64) (sqrt.f64 15/2)))))) (*.f64 z (sqrt.f64 (pow.f64 (PI.f64) 3))))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 (neg.f64 (log.f64 15/2)) 14/15) (sqrt.f64 15/2)))) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (*.f64 (+.f64 (*.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30)))) (*.f64 1/6 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (*.f64 z (sqrt.f64 (pow.f64 (PI.f64) 3)))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30)))) (*.f64 1/6 (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (PI.f64) (sqrt.f64 15/2)) (sqrt.f64 2))))) (*.f64 z (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (*.f64 (+.f64 (neg.f64 (log.f64 15/2)) 14/15) (sqrt.f64 15/2))))))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (sqrt.f64 2)) (PI.f64)) (*.f64 -1/6 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (PI.f64))))) (pow.f64 z 2)) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (PI.f64)) (*.f64 -1/6 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64)))))) z) (sqrt.f64 (pow.f64 (PI.f64) 3))))))) |
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (*.f64 (+.f64 (/.f64 (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 29/225 (fma.f64 -1 (log.f64 15/2) -1/15) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3))))) (fma.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 1/2 (exp.f64 -15/2)) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)))))) (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 1/6 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 (exp.f64 -15/2) (+.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)))))))) (*.f64 z z))) (*.f64 (+.f64 (/.f64 (sqrt.f64 2) (/.f64 (PI.f64) (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2))))) (*.f64 1/6 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (PI.f64) (sqrt.f64 15/2)))))) (*.f64 z (sqrt.f64 (pow.f64 (PI.f64) 3)))))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 (neg.f64 (log.f64 15/2)) 14/15) (sqrt.f64 15/2)))) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 z (*.f64 z (+.f64 (*.f64 (/.f64 (+.f64 (fma.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (fma.f64 -1 (log.f64 15/2) -1/15))) 1/2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (fma.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 29/225 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3) 86/10125))))) (PI.f64)) (sqrt.f64 2)) (*.f64 1/6 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 (neg.f64 (log.f64 15/2)) 14/15) (sqrt.f64 15/2))))))))) (*.f64 z (+.f64 (*.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30)))) (*.f64 1/6 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 z (+.f64 (*.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30)))) (*.f64 1/6 (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (PI.f64) (sqrt.f64 15/2)) (sqrt.f64 2)))))) (*.f64 z (*.f64 z (+.f64 (*.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (+.f64 (fma.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 -1/15 (log.f64 15/2)))) 1/2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (fma.f64 (-.f64 -1/15 (log.f64 15/2)) 29/225 (fma.f64 1/6 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 3) 86/10125)))))) (*.f64 1/6 (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (*.f64 (+.f64 (neg.f64 (log.f64 15/2)) 14/15) (sqrt.f64 15/2)))))))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (*.f64 (+.f64 (neg.f64 (log.f64 15/2)) 14/15) (sqrt.f64 15/2))))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (/.f64 (sqrt.f64 2) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))) |
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(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) 2)))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) 3) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))) |
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) 2)))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))) |
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) 2)))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))) |
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) 2)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))))) 1)) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))) |
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) 2)))) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))) |
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) 2)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) z))) 1) |
(*.f64 z (PI.f64)) |
(pow.f64 (*.f64 (PI.f64) z) 1) |
(*.f64 z (PI.f64)) |
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) z)) 2) |
(*.f64 z (PI.f64)) |
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) z)) 3) |
(*.f64 z (PI.f64)) |
(pow.f64 (pow.f64 (*.f64 (PI.f64) z) 3) 1/3) |
(*.f64 z (PI.f64)) |
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) z) 2)) |
(sqrt.f64 (pow.f64 (*.f64 z (PI.f64)) 2)) |
(fabs.f64 (*.f64 z (PI.f64))) |
(log.f64 (pow.f64 (exp.f64 z) (PI.f64))) |
(*.f64 z (PI.f64)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) z)))) |
(*.f64 z (PI.f64)) |
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) z) 3)) |
(*.f64 z (PI.f64)) |
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 z 3))) |
(*.f64 z (PI.f64)) |
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (PI.f64) 3))) |
(*.f64 z (PI.f64)) |
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) z))) |
(*.f64 z (PI.f64)) |
(exp.f64 (log.f64 (*.f64 (PI.f64) z))) |
(*.f64 z (PI.f64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) z)) 1)) |
(*.f64 z (PI.f64)) |
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) z))) |
(*.f64 z (PI.f64)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
| ✓ | 1.0b | (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
| 1.0b | (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) | |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) |
Compiled 299 to 214 computations (28.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 29.0ms | z | @ | inf | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
| 3.0ms | z | @ | 0 | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
| 1.0ms | z | @ | -inf | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
| 0.0ms | z | @ | 0 | (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
| 0.0ms | z | @ | inf | (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
| 1× | batch-egg-rewrite |
| 1046× | add-sqr-sqrt |
| 988× | add-exp-log |
| 986× | add-cbrt-cube |
| 986× | add-log-exp |
| 986× | add-cube-cbrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 220 |
| 1 | 1029 | 220 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (sqrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))))) (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (-.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) 3) (pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (+.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 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| 1× | egg-herbie |
| 1260× | associate-+l+ |
| 1210× | associate-+r+ |
| 924× | associate-*r/ |
| 868× | associate-*l/ |
| 844× | +-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 244 | 5491 |
| 1 | 777 | 4693 |
| 2 | 3525 | 4671 |
| 1× | node limit |
| Inputs |
|---|
1106209385320415913103082059/4200000000000000000000000 |
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)) |
(+.f64 (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (pow.f64 z 2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))) |
(+.f64 (*.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3)) (+.f64 (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (pow.f64 z 2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)))) |
(*.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2)) |
(+.f64 (*.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2)) (*.f64 39321001939258358983/90000000000000000 z)) |
(+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2)) (*.f64 39321001939258358983/90000000000000000 z))) |
(+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (+.f64 (*.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2)) (*.f64 39321001939258358983/90000000000000000 z)))) |
(*.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2)) |
(+.f64 (*.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2)) (*.f64 39321001939258358983/90000000000000000 z)) |
(+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2)) (*.f64 39321001939258358983/90000000000000000 z))) |
(+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (+.f64 (*.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2)) (*.f64 39321001939258358983/90000000000000000 z)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) |
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(*.f64 2943194126470171931171/5400000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) (pow.f64 z 2)))) (sqrt.f64 (PI.f64)))) |
(+.f64 (*.f64 39321001939258358983/90000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) z))) (sqrt.f64 (PI.f64)))) (*.f64 2943194126470171931171/5400000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) (pow.f64 z 2)))) (sqrt.f64 (PI.f64))))) |
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(*.f64 1 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (sqrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (sqrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(/.f64 (-.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))))) (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (-.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) 3) (pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (+.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))))) (-.f64 (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(pow.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) 1) |
(log.f64 (exp.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(cbrt.f64 (*.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(expm1.f64 (log1p.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(exp.f64 (log.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(log1p.f64 (expm1.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
(+.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) |
(pow.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) 1) |
(log.f64 (exp.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))) |
(cbrt.f64 (*.f64 (*.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))) |
(exp.f64 (log.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))) |
| Outputs |
|---|
1106209385320415913103082059/4200000000000000000000000 |
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)) |
(fma.f64 102757979785251069442117317613/235200000000000000000000000 z 1106209385320415913103082059/4200000000000000000000000) |
(+.f64 (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (pow.f64 z 2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))) |
(fma.f64 64608921419941589693928044520019/118540800000000000000000000000 (*.f64 z z) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))) |
(fma.f64 64608921419941589693928044520019/118540800000000000000000000000 (*.f64 z z) (fma.f64 102757979785251069442117317613/235200000000000000000000000 z 1106209385320415913103082059/4200000000000000000000000)) |
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(fma.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3) (fma.f64 64608921419941589693928044520019/118540800000000000000000000000 (*.f64 z z) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)))) |
(fma.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3) (fma.f64 64608921419941589693928044520019/118540800000000000000000000000 (*.f64 z z) (fma.f64 102757979785251069442117317613/235200000000000000000000000 z 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2)) |
(*.f64 (*.f64 z z) 2943194126470171931171/5400000000000000000) |
(*.f64 z (*.f64 z 2943194126470171931171/5400000000000000000)) |
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(fma.f64 2943194126470171931171/5400000000000000000 (*.f64 z z) (*.f64 z 39321001939258358983/90000000000000000)) |
(*.f64 z (fma.f64 z 2943194126470171931171/5400000000000000000 39321001939258358983/90000000000000000)) |
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(+.f64 (fma.f64 2943194126470171931171/5400000000000000000 (*.f64 z z) (*.f64 z 39321001939258358983/90000000000000000)) 7902188421553103227/30000000000000000) |
(fma.f64 z (fma.f64 z 2943194126470171931171/5400000000000000000 39321001939258358983/90000000000000000) 7902188421553103227/30000000000000000) |
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(+.f64 7902188421553103227/30000000000000000 (+.f64 (fma.f64 2943194126470171931171/5400000000000000000 (*.f64 z z) (*.f64 z 39321001939258358983/90000000000000000)) (/.f64 3464024008321714637421/25000000000000000000000 z))) |
(+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (fma.f64 z (fma.f64 z 2943194126470171931171/5400000000000000000 39321001939258358983/90000000000000000) 7902188421553103227/30000000000000000)) |
(*.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2)) |
(*.f64 (*.f64 z z) 2943194126470171931171/5400000000000000000) |
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(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (fma.f64 z (fma.f64 z 2943194126470171931171/5400000000000000000 39321001939258358983/90000000000000000) 7902188421553103227/30000000000000000))) (sqrt.f64 (*.f64 2 (PI.f64))))) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))) |
(*.f64 (+.f64 7902188421553103227/30000000000000000 (fma.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) |
(*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (fma.f64 z (fma.f64 z 2943194126470171931171/5400000000000000000 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))))) |
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (fma.f64 z (fma.f64 z 2943194126470171931171/5400000000000000000 39321001939258358983/90000000000000000) 7902188421553103227/30000000000000000))) (sqrt.f64 (*.f64 2 (PI.f64))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
| 1.0b | (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) | |
| ✓ | 1.0b | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) |
Compiled 369 to 275 computations (25.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
| 0.0ms | z | @ | inf | (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
| 0.0ms | z | @ | -inf | (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
| 0.0ms | z | @ | 0 | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) |
| 0.0ms | z | @ | inf | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) |
| 1× | batch-egg-rewrite |
| 872× | add-sqr-sqrt |
| 832× | add-cbrt-cube |
| 832× | add-cube-cbrt |
| 830× | add-exp-log |
| 830× | add-log-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 164 |
| 1 | 852 | 164 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) |
(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 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| 1× | egg-herbie |
| 1536× | fma-def |
| 1410× | associate-+l- |
| 1202× | associate-+r- |
| 1124× | associate-+r+ |
| 790× | +-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 147 | 3412 |
| 1 | 401 | 3136 |
| 2 | 2084 | 2694 |
| 3 | 6662 | 2694 |
| 1× | node limit |
| Inputs |
|---|
7902188421553103227/30000000000000000 |
(+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) |
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z))) |
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(*.f64 6764801184542762983/90000000000000000 z) |
(+.f64 6493665628732592227/30000000000000000 (*.f64 6764801184542762983/90000000000000000 z)) |
(+.f64 6493665628732592227/30000000000000000 (+.f64 (*.f64 6764801184542762983/90000000000000000 z) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 6493665628732592227/30000000000000000 (+.f64 (*.f64 6764801184542762983/90000000000000000 z) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))) |
(*.f64 6764801184542762983/90000000000000000 z) |
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1106209385320415913103082059/4200000000000000000000000 |
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(*.f64 6764801184542762983/90000000000000000 z) |
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(expm1.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))))) |
(exp.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))))) |
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(*.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(/.f64 (-.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))))) (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (-.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) 3) (pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (+.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))))) (-.f64 (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) 1) |
(log.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
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(expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
| Outputs |
|---|
7902188421553103227/30000000000000000 |
(+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) |
(fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) |
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(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z))) |
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000)) |
(fma.f64 39321001939258358983/90000000000000000 z (fma.f64 z (*.f64 z 2076511864126339/4000000000000) 7902188421553103227/30000000000000000)) |
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(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)))) |
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000))) |
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(*.f64 6764801184542762983/90000000000000000 z) |
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1106209385320415913103082059/4200000000000000000000000 |
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(*.f64 6764801184542762983/90000000000000000 z) |
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(fma.f64 z 6764801184542762983/90000000000000000 6493665628732592227/30000000000000000) |
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(/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 z 6764801184542762983/90000000000000000) 646366562873259793/3000000000000000)))) 3) (pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (fma.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 z 6764801184542762983/90000000000000000) 646366562873259793/3000000000000000)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 z 6764801184542762983/90000000000000000) 646366562873259793/3000000000000000)))) (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (-.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 z 6764801184542762983/90000000000000000) 646366562873259793/3000000000000000)))))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000)))) 3) (pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (fma.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (-.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000)))))) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000)))) 2))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 6493665628732592227/30000000000000000 (fma.f64 z 6764801184542762983/90000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 3) (pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (fma.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (-.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 6493665628732592227/30000000000000000 (fma.f64 z 6764801184542762983/90000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))) (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 6493665628732592227/30000000000000000 (fma.f64 z 6764801184542762983/90000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 2))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 6493665628732592227/30000000000000000 (fma.f64 z 6764801184542762983/90000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 3) (pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (fma.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (-.f64 (-.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 6493665628732592227/30000000000000000 (fma.f64 z 6764801184542762983/90000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 6493665628732592227/30000000000000000 (fma.f64 z 6764801184542762983/90000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 2))) |
(pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) 1) |
(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 z 6764801184542762983/90000000000000000) 646366562873259793/3000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 6493665628732592227/30000000000000000 (fma.f64 z 6764801184542762983/90000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
(log.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 z 6764801184542762983/90000000000000000) 646366562873259793/3000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 6493665628732592227/30000000000000000 (fma.f64 z 6764801184542762983/90000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
(cbrt.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 z 6764801184542762983/90000000000000000) 646366562873259793/3000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 6493665628732592227/30000000000000000 (fma.f64 z 6764801184542762983/90000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
(expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 z 6764801184542762983/90000000000000000) 646366562873259793/3000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 6493665628732592227/30000000000000000 (fma.f64 z 6764801184542762983/90000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
(exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
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(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 6493665628732592227/30000000000000000 (fma.f64 z 6764801184542762983/90000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
(log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 z 6764801184542762983/90000000000000000) 646366562873259793/3000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 6493665628732592227/30000000000000000 (fma.f64 z 6764801184542762983/90000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| 2.8b | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) | |
| 6.8b | (+.f64 (-.f64 1 z) -1) |
Compiled 573 to 480 computations (16.2% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))) |
| 0.0ms | z | @ | inf | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))) |
| 0.0ms | z | @ | -inf | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))) |
| 1× | batch-egg-rewrite |
| 1054× | add-sqr-sqrt |
| 1008× | add-cbrt-cube |
| 1008× | add-cube-cbrt |
| 1006× | add-exp-log |
| 1004× | add-log-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 157 |
| 1 | 1055 | 157 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 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log1p.f64 (expm1.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))))) |
| 1× | egg-herbie |
| 1284× | associate-*r* |
| 1204× | associate-+r+ |
| 1080× | associate-+l- |
| 1074× | associate-*l* |
| 792× | fma-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 101 | 2747 |
| 1 | 280 | 2195 |
| 2 | 1416 | 1805 |
| 3 | 6154 | 1805 |
| 1× | node limit |
| Inputs |
|---|
1106209385320415913103082059/4200000000000000000000000 |
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)) |
(+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 61549629395250298343008044520019/118540800000000000000000000000 (pow.f64 z 2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 z))) |
(+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 61549629395250298343008044520019/118540800000000000000000000000 (pow.f64 z 2)) (+.f64 (*.f64 11905977645951639154374123614369999/19914854400000000000000000000000 (pow.f64 z 3)) (*.f64 102757979785251069442117317613/235200000000000000000000000 z)))) |
(*.f64 53758197989915921/720000000000000 z) |
(+.f64 6418621569060470797/30000000000000000 (*.f64 53758197989915921/720000000000000 z)) |
(+.f64 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)) (+.f64 6418621569060470797/30000000000000000 (*.f64 53758197989915921/720000000000000 z))) |
(+.f64 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)) (+.f64 6418621569060470797/30000000000000000 (+.f64 (*.f64 53758197989915921/720000000000000 z) (*.f64 11125329402537419134147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))))) |
(*.f64 53758197989915921/720000000000000 z) |
(+.f64 6418621569060470797/30000000000000000 (*.f64 53758197989915921/720000000000000 z)) |
(+.f64 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)) (+.f64 6418621569060470797/30000000000000000 (*.f64 53758197989915921/720000000000000 z))) |
(+.f64 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)) (+.f64 6418621569060470797/30000000000000000 (+.f64 (*.f64 53758197989915921/720000000000000 z) (*.f64 11125329402537419134147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))))) |
(*.f64 1 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) |
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(*.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) (cbrt.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) (cbrt.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (-.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) 3) (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) 3)) (+.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (-.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) |
(pow.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) 1) |
(log.f64 (exp.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) |
(cbrt.f64 (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) |
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) |
(exp.f64 (log.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) |
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) |
| Outputs |
|---|
1106209385320415913103082059/4200000000000000000000000 |
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)) |
(fma.f64 102757979785251069442117317613/235200000000000000000000000 z 1106209385320415913103082059/4200000000000000000000000) |
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(+.f64 1106209385320415913103082059/4200000000000000000000000 (fma.f64 61549629395250298343008044520019/118540800000000000000000000000 (*.f64 z z) (*.f64 102757979785251069442117317613/235200000000000000000000000 z))) |
(+.f64 1106209385320415913103082059/4200000000000000000000000 (fma.f64 102757979785251069442117317613/235200000000000000000000000 z (*.f64 z (*.f64 z 61549629395250298343008044520019/118540800000000000000000000000)))) |
(fma.f64 102757979785251069442117317613/235200000000000000000000000 z (fma.f64 z (*.f64 z 61549629395250298343008044520019/118540800000000000000000000000) 1106209385320415913103082059/4200000000000000000000000)) |
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(*.f64 53758197989915921/720000000000000 z) |
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(fma.f64 z 53758197989915921/720000000000000 6418621569060470797/30000000000000000) |
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Compiled 53572 to 41495 computations (22.5% saved)
24 alts after pruning (23 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 701 | 16 | 717 |
| Fresh | 4 | 7 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 4 | 1 | 5 |
| Total | 710 | 24 | 734 |
| Status | Error | Program |
|---|---|---|
| 1.6b | (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))))) z) | |
| 1.6b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))) | |
| 0.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) | |
| 1.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (-.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) | |
| ▶ | 0.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
| ✓ | 1.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
| 1.1b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) | |
| 0.9b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 170836605963169966896917941/4200000000000000000000000))))) | |
| ▶ | 0.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))))) |
| ▶ | 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) -170836605963169966896917941/4200000000000000000000000)))) |
| 1.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))) | |
| 1.6b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) | |
| 0.9b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) | |
| 1.1b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) | |
| 0.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) | |
| ▶ | 1.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) |
| 0.9b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (*.f64 1 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) | |
| 1.6b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) | |
| ▶ | 2.3b | (*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
| 1.6b | (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) | |
| 1.7b | (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (sqrt.f64 (pow.f64 (PI.f64) 3))))) | |
| 1.7b | (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) | |
| 1.8b | (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) | |
| 1.6b | (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) |
Compiled 2427 to 1997 computations (17.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) |
| 1.0b | (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) | |
| 1.0b | (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) | |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) |
Compiled 564 to 457 computations (19% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) |
| 0.0ms | z | @ | inf | (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) |
| 0.0ms | z | @ | -inf | (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) |
| 1× | batch-egg-rewrite |
| 756× | add-sqr-sqrt |
| 722× | add-exp-log |
| 722× | add-cbrt-cube |
| 722× | add-log-exp |
| 722× | log1p-expm1-u |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 91 |
| 1 | 736 | 91 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 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z)))))))) (*.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 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| 1× | egg-herbie |
| 1432× | associate--r+ |
| 1348× | +-commutative |
| 886× | associate--l+ |
| 884× | associate-*r* |
| 718× | associate-*l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 1667 |
| 1 | 246 | 1657 |
| 2 | 991 | 1653 |
| 3 | 4157 | 1653 |
| 1× | node limit |
| Inputs |
|---|
-170836605963169966896917941/4200000000000000000000000 |
(-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 170836605963169966896917941/4200000000000000000000000) |
(-.f64 (+.f64 (*.f64 -315341357520700009111955479981/118540800000000000000000000000 (pow.f64 z 2)) (*.f64 -7438431377385067353648047161/705600000000000000000000000 z)) 170836605963169966896917941/4200000000000000000000000) |
(-.f64 (+.f64 (*.f64 -315341357520700009111955479981/118540800000000000000000000000 (pow.f64 z 2)) (+.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) (*.f64 -13342905177403410807236385630001/19914854400000000000000000000000 (pow.f64 z 3)))) 170836605963169966896917941/4200000000000000000000000) |
9999999999998099/10000000000000000 |
(+.f64 9999999999998099/10000000000000000 (*.f64 4106156171094664089637421/25000000000000000000000 (/.f64 1 z))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 4106156171094664089637421/25000000000000000000000 (/.f64 1 z)) (*.f64 4029717223322681009147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 15738405907415525446283611/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 4106156171094664089637421/25000000000000000000000 (/.f64 1 z)) (*.f64 4029717223322681009147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))))) |
9999999999998099/10000000000000000 |
(+.f64 9999999999998099/10000000000000000 (*.f64 4106156171094664089637421/25000000000000000000000 (/.f64 1 z))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 4106156171094664089637421/25000000000000000000000 (/.f64 1 z)) (*.f64 4029717223322681009147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 15738405907415525446283611/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 4106156171094664089637421/25000000000000000000000 (/.f64 1 z)) (*.f64 4029717223322681009147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))))) |
(*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) 1) |
(*.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))) |
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(*.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))) (*.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))))) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 3) (pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) 3)) (+.f64 (*.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (-.f64 (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) (*.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))))) |
(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) 1) |
(log.f64 (exp.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))) |
(cbrt.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))))) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))) |
(exp.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))) |
| Outputs |
|---|
-170836605963169966896917941/4200000000000000000000000 |
(-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 170836605963169966896917941/4200000000000000000000000) |
(fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -170836605963169966896917941/4200000000000000000000000) |
(-.f64 (+.f64 (*.f64 -315341357520700009111955479981/118540800000000000000000000000 (pow.f64 z 2)) (*.f64 -7438431377385067353648047161/705600000000000000000000000 z)) 170836605963169966896917941/4200000000000000000000000) |
(+.f64 (*.f64 -315341357520700009111955479981/118540800000000000000000000000 (*.f64 z z)) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -170836605963169966896917941/4200000000000000000000000)) |
(fma.f64 -315341357520700009111955479981/118540800000000000000000000000 (*.f64 z z) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -170836605963169966896917941/4200000000000000000000000)) |
(fma.f64 -7438431377385067353648047161/705600000000000000000000000 z (fma.f64 z (*.f64 z -315341357520700009111955479981/118540800000000000000000000000) -170836605963169966896917941/4200000000000000000000000)) |
(-.f64 (+.f64 (*.f64 -315341357520700009111955479981/118540800000000000000000000000 (pow.f64 z 2)) (+.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) (*.f64 -13342905177403410807236385630001/19914854400000000000000000000000 (pow.f64 z 3)))) 170836605963169966896917941/4200000000000000000000000) |
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(fma.f64 z (*.f64 z -315341357520700009111955479981/118540800000000000000000000000) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z (fma.f64 -13342905177403410807236385630001/19914854400000000000000000000000 (pow.f64 z 3) -170836605963169966896917941/4200000000000000000000000))) |
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(/.f64 (+.f64 (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3)) (pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) 3)) (fma.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (-.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) |
(/.f64 (+.f64 (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 3)) (fma.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (-.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (-.f64 5 z)) (-.f64 5 z)))) |
(/.f64 (+.f64 (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) 3)) (fma.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (-.f64 5 z)) (-.f64 5 z)))) |
(/.f64 (+.f64 (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 3)) (fma.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (-.f64 5 z)) (-.f64 5 z)))) |
(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) 1) |
(+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
(+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) |
(log.f64 (exp.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))) |
(+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
(+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) |
(cbrt.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))))) |
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(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
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(expm1.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))) |
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(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
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(exp.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))) |
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(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
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(log1p.f64 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))) |
(+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
(+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) |
| ✓ | 0.1b | (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) |
| ✓ | 0.3b | (*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) |
Compiled 136 to 112 computations (17.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 35.0ms | z | @ | -inf | (*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
| 1.0ms | z | @ | inf | (*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
| 1.0ms | z | @ | 0 | (*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
| 1.0ms | z | @ | 0 | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) |
| 1.0ms | z | @ | -inf | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) |
| 1× | batch-egg-rewrite |
| 524× | add-sqr-sqrt |
| 508× | associate-+r+ |
| 498× | *-un-lft-identity |
| 496× | pow1 |
| 488× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 157 |
| 1 | 528 | 113 |
| 2 | 6859 | 113 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 z (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 z -2) z) (pow.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) 3) (/.f64 (pow.f64 z -2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 15/2 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 15/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 15/2 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 15/2 z))) (sqrt.f64 (exp.f64 (-.f64 15/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (-.f64 15/2 z))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 15/2 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 15/2 z))) 2) (cbrt.f64 (exp.f64 (-.f64 15/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 1 z)) (exp.f64 13/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 13/2) (exp.f64 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 (-.f64 1 z))) (exp.f64 -13/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (exp.f64 (-.f64 15/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 (-.f64 15/2 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (E.f64) (exp.f64 (+.f64 z -13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (exp.f64 (-.f64 15/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 15/2 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 15/2 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (-.f64 15/2 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (-.f64 15/2 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 15/2 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 15/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 15/2 z)) 2)) (cbrt.f64 (-.f64 15/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (-.f64 15/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 15/2 z))) (sqrt.f64 (-.f64 15/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 15/2 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 15/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 15/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 15/2 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 15/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 15/2 z)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (*.f64 2 (-.f64 1/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2) (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3) (pow.f64 (*.f64 (PI.f64) 2) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))))) |
| 1× | egg-herbie |
| 1374× | associate-/l/ |
| 1350× | associate-/r/ |
| 640× | associate-+r+ |
| 614× | associate-*r* |
| 562× | associate-+l+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 300 | 5591 |
| 1 | 830 | 5387 |
| 2 | 3949 | 5193 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) |
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(log1p.f64 (expm1.f64 (exp.f64 (-.f64 15/2 z)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) 1) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 3) |
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 3) 1/3) |
(sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (*.f64 2 (-.f64 1/2 z))))) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2) (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3) (pow.f64 (*.f64 (PI.f64) 2) 3/2))) |
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
| Outputs |
|---|
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15))) (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (sqrt.f64 2) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) (/.f64 (sqrt.f64 2) z)))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))) |
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 2) (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2)))) z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15))) (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 z (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30)))))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (sqrt.f64 2) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) (/.f64 (sqrt.f64 2) z))) (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) (+.f64 13/30 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225)))) (*.f64 z (sqrt.f64 2)))))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (*.f64 (sqrt.f64 2) (pow.f64 z 2))) (sqrt.f64 (PI.f64))))))) |
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 2) (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2)))) z)) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))) (*.f64 (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 29/225 (fma.f64 -1 (log.f64 15/2) -1/15) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3))))) (fma.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 1/2 (exp.f64 -15/2)) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)))))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 z z)) (sqrt.f64 (PI.f64)))))))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 z z) (fma.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 -1 (log.f64 15/2) -1/15)) 1/2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 29/225 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3) 86/10125)) 1/6))))))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 z (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30)))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15))))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (sqrt.f64 2) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) (/.f64 (sqrt.f64 2) z))) (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) (+.f64 13/30 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225)))) (*.f64 z (sqrt.f64 2))))) (*.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (-.f64 -1/15 (log.f64 15/2))) (*.f64 (exp.f64 -15/2) 1/2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (+.f64 1/6 (fma.f64 (-.f64 -1/15 (log.f64 15/2)) 29/225 (fma.f64 1/6 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 3) 86/10125)))))) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 z z) (sqrt.f64 (PI.f64))))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) z)) (sqrt.f64 (PI.f64))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) z)) (sqrt.f64 (PI.f64))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) z)) (sqrt.f64 (PI.f64))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) z)) (sqrt.f64 (PI.f64))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) z)) (sqrt.f64 (PI.f64))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) z)) (sqrt.f64 (PI.f64))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))) |
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(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 z 3)) (*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 15/2 z)))) 3) 1353667544463053517362301055662189939940116838557164185039425992840995977633531379/74088000000000000000000000000000000000000000000000000000000000000000000000))) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) 3) (pow.f64 z 3))) |
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 (-.f64 15/2 z)))) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z)))) |
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 (-.f64 15/2 z)))) |
(exp.f64 (+.f64 (+.f64 (-.f64 15/2 z) (log.f64 1106209385320415913103082059/4200000000000000000000000)) (log.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z)))) |
(exp.f64 (+.f64 (+.f64 (-.f64 15/2 z) (log.f64 1106209385320415913103082059/4200000000000000000000000)) (log.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 (-.f64 15/2 z) (log.f64 1106209385320415913103082059/4200000000000000000000000)))) |
(exp.f64 (*.f64 (+.f64 (+.f64 (-.f64 15/2 z) (log.f64 1106209385320415913103082059/4200000000000000000000000)) (log.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z))) 1)) |
(exp.f64 (+.f64 (+.f64 (-.f64 15/2 z) (log.f64 1106209385320415913103082059/4200000000000000000000000)) (log.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 (-.f64 15/2 z) (log.f64 1106209385320415913103082059/4200000000000000000000000)))) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z)))) |
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 (-.f64 15/2 z)))) |
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 15/2 z)))) 1) |
(exp.f64 (-.f64 15/2 z)) |
(*.f64 1 (exp.f64 (-.f64 15/2 z))) |
(exp.f64 (-.f64 15/2 z)) |
(*.f64 (exp.f64 (-.f64 15/2 z)) 1) |
(exp.f64 (-.f64 15/2 z)) |
(*.f64 (sqrt.f64 (exp.f64 (-.f64 15/2 z))) (sqrt.f64 (exp.f64 (-.f64 15/2 z)))) |
(exp.f64 (-.f64 15/2 z)) |
(*.f64 (cbrt.f64 (exp.f64 (-.f64 15/2 z))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 15/2 z))) 2)) |
(exp.f64 (-.f64 15/2 z)) |
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 15/2 z))) 2) (cbrt.f64 (exp.f64 (-.f64 15/2 z)))) |
(exp.f64 (-.f64 15/2 z)) |
(*.f64 (exp.f64 (-.f64 1 z)) (exp.f64 13/2)) |
(exp.f64 (-.f64 15/2 z)) |
(*.f64 (exp.f64 13/2) (exp.f64 (-.f64 1 z))) |
(exp.f64 (-.f64 15/2 z)) |
(*.f64 (exp.f64 (neg.f64 (-.f64 1 z))) (exp.f64 -13/2)) |
(exp.f64 (+.f64 z -15/2)) |
(exp.f64 (+.f64 -15/2 z)) |
(/.f64 1 (exp.f64 (-.f64 15/2 z))) |
(exp.f64 (+.f64 z -15/2)) |
(exp.f64 (+.f64 -15/2 z)) |
(/.f64 1 (/.f64 (exp.f64 (-.f64 15/2 z)) 1)) |
(exp.f64 (+.f64 z -15/2)) |
(exp.f64 (+.f64 -15/2 z)) |
(/.f64 (E.f64) (exp.f64 (+.f64 z -13/2))) |
(exp.f64 (-.f64 15/2 z)) |
(/.f64 -1 (neg.f64 (exp.f64 (-.f64 15/2 z)))) |
(exp.f64 (+.f64 z -15/2)) |
(exp.f64 (+.f64 -15/2 z)) |
(pow.f64 (exp.f64 (-.f64 15/2 z)) 1) |
(exp.f64 (-.f64 15/2 z)) |
(pow.f64 (exp.f64 (-.f64 15/2 z)) -1) |
(exp.f64 (+.f64 z -15/2)) |
(exp.f64 (+.f64 -15/2 z)) |
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 15/2 z))) 2) |
(exp.f64 (-.f64 15/2 z)) |
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 15/2 z))) 3) |
(exp.f64 (-.f64 15/2 z)) |
(pow.f64 (pow.f64 (exp.f64 (-.f64 15/2 z)) 3) 1/3) |
(exp.f64 (-.f64 15/2 z)) |
(pow.f64 (E.f64) (-.f64 15/2 z)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 15/2 z)) 2)) (cbrt.f64 (-.f64 15/2 z))) |
(pow.f64 (exp.f64 -1) (-.f64 15/2 z)) |
(exp.f64 (+.f64 z -15/2)) |
(exp.f64 (+.f64 -15/2 z)) |
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 15/2 z))) (sqrt.f64 (-.f64 15/2 z))) |
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 15/2 z)) 2)) |
(fabs.f64 (exp.f64 (-.f64 15/2 z))) |
(log.f64 (exp.f64 (exp.f64 (-.f64 15/2 z)))) |
(exp.f64 (-.f64 15/2 z)) |
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 15/2 z))))) |
(exp.f64 (-.f64 15/2 z)) |
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 15/2 z)) 3)) |
(exp.f64 (-.f64 15/2 z)) |
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 15/2 z)))) |
(exp.f64 (-.f64 15/2 z)) |
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 15/2 z)))) |
(exp.f64 (-.f64 15/2 z)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) 1) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 1) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) |
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 2) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) |
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 3) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) |
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 3) 1/3) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) |
(sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (*.f64 2 (-.f64 1/2 z))))) |
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 (pow.f64 (-.f64 15/2 z) (*.f64 2 (-.f64 1/2 z)))))) |
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (pow.f64 (-.f64 15/2 z) (*.f64 2 (-.f64 1/2 z)))))) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2)))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) |
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 3)) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2) (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2) (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3) (pow.f64 (*.f64 (PI.f64) 2) 3/2))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2) (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) |
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 1)) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) |
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) | |
| ✓ | 1.0b | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))) |
| 1.0b | (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) | |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) |
Compiled 153 to 96 computations (37.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | 0 | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))) |
| 1.0ms | z | @ | -inf | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))) |
| 1.0ms | z | @ | inf | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))) |
| 1× | batch-egg-rewrite |
| 562× | add-sqr-sqrt |
| 532× | *-un-lft-identity |
| 530× | pow1 |
| 526× | add-exp-log |
| 524× | add-log-exp |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 75 |
| 1 | 558 | 67 |
| 2 | 7331 | 67 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))) 1106209385320415913103082059/4200000000000000000000000)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))) (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))) (*.f64 z 102757979785251069442117317613/235200000000000000000000000))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))) 1106209385320415913103082059/4200000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))) 1106209385320415913103082059/4200000000000000000000000)) 1) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))) (*.f64 z 102757979785251069442117317613/235200000000000000000000000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))) (*.f64 z 102757979785251069442117317613/235200000000000000000000000))) 1) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))) 1106209385320415913103082059/4200000000000000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2)))) (-.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 (*.f64 z z) 10559202409546067423540508137614922007509279127314320017769/55319040000000000000000000000000000000000000000000000))) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2)))) (+.f64 1353667544463053517362301055662189939940116838557164185039425992840995977633531379/74088000000000000000000000000000000000000000000000000000000000000000000000 (*.f64 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| 1× | egg-herbie |
| 1322× | distribute-lft-in |
| 1298× | distribute-rgt-in |
| 944× | associate-/l* |
| 630× | associate-*r* |
| 546× | associate-*l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 215 | 5355 |
| 1 | 682 | 4213 |
| 2 | 2832 | 4191 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))) |
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(*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) z))) (sqrt.f64 (PI.f64)))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) z))) (sqrt.f64 (PI.f64))))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) z))) (sqrt.f64 (PI.f64))))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) z))) (sqrt.f64 (PI.f64))))) |
(*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 z (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))))) (sqrt.f64 (PI.f64)))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 z (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))))) (sqrt.f64 (PI.f64))))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 z (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))))) (sqrt.f64 (PI.f64))))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 z (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))))) (sqrt.f64 (PI.f64))))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))) 1106209385320415913103082059/4200000000000000000000000)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))) (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))) (*.f64 z 102757979785251069442117317613/235200000000000000000000000))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))) 1106209385320415913103082059/4200000000000000000000000)) 1) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))) (*.f64 z 102757979785251069442117317613/235200000000000000000000000))) 1)) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))) (*.f64 z 102757979785251069442117317613/235200000000000000000000000))) 1) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))) 1106209385320415913103082059/4200000000000000000000000)) 1)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000)))))) 1) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2)))) (-.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 (*.f64 z z) 10559202409546067423540508137614922007509279127314320017769/55319040000000000000000000000000000000000000000000000))) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2)))) (+.f64 1353667544463053517362301055662189939940116838557164185039425992840995977633531379/74088000000000000000000000000000000000000000000000000000000000000000000000 (*.f64 1085042307748509180392591135376856639848164392867298270410346952787702932040100776665397/13011038208000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3)))) (+.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (-.f64 (*.f64 (*.f64 z z) 10559202409546067423540508137614922007509279127314320017769/55319040000000000000000000000000000000000000000000000) (*.f64 113671841655010309519676160498992877051125810088105005167/987840000000000000000000000000000000000000000000000 z)))) |
(/.f64 (*.f64 (-.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 (*.f64 z z) 10559202409546067423540508137614922007509279127314320017769/55319040000000000000000000000000000000000000000000000)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))))) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000)) |
(/.f64 (*.f64 (+.f64 1353667544463053517362301055662189939940116838557164185039425992840995977633531379/74088000000000000000000000000000000000000000000000000000000000000000000000 (*.f64 1085042307748509180392591135376856639848164392867298270410346952787702932040100776665397/13011038208000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))))) (+.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (-.f64 (*.f64 (*.f64 z z) 10559202409546067423540508137614922007509279127314320017769/55319040000000000000000000000000000000000000000000000) (*.f64 113671841655010309519676160498992877051125810088105005167/987840000000000000000000000000000000000000000000000 z)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))) 1106209385320415913103082059/4200000000000000000000000)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))) 1106209385320415913103082059/4200000000000000000000000))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))) (*.f64 z 102757979785251069442117317613/235200000000000000000000000))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))) (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))) (-.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))) 1106209385320415913103082059/4200000000000000000000000)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))) (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))) 1106209385320415913103082059/4200000000000000000000000)) 3) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))) (*.f64 z 102757979785251069442117317613/235200000000000000000000000))) 3)) (+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))) 1106209385320415913103082059/4200000000000000000000000)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))) 1106209385320415913103082059/4200000000000000000000000))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))) (*.f64 z 102757979785251069442117317613/235200000000000000000000000))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))) (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))) 1106209385320415913103082059/4200000000000000000000000)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))) (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))))) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000)))) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000))))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000))))) 3) |
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000)))) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000)))) 2)) |
(log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000)))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000))))))) |
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000)))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2)))) 3) (pow.f64 (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000) 3) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2)))) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000)))))) |
(exp.f64 (+.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))) (+.f64 (+.f64 z -15/2) (log.f64 (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000))))) |
(exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))) (+.f64 (+.f64 z -15/2) (log.f64 (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000)))))) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2)))) 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))) (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) |
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))) (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) |
| Outputs |
|---|
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64)))))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))) |
(fma.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))))) z)) (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))))) |
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))) (*.f64 (exp.f64 -15/2) (*.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2)))) z)))) |
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 -1/15 (log.f64 15/2)))) (*.f64 (exp.f64 -15/2) (*.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2)))) z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) |
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(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (+.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 102757979785251069442117317613/235200000000000000000000000 z))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (fma.f64 102757979785251069442117317613/235200000000000000000000000 z 1106209385320415913103082059/4200000000000000000000000)))) |
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000)))) 3)) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (+.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 102757979785251069442117317613/235200000000000000000000000 z))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (fma.f64 102757979785251069442117317613/235200000000000000000000000 z 1106209385320415913103082059/4200000000000000000000000)))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2)))) 3) (pow.f64 (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000) 3))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (+.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 102757979785251069442117317613/235200000000000000000000000 z))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (fma.f64 102757979785251069442117317613/235200000000000000000000000 z 1106209385320415913103082059/4200000000000000000000000)))) |
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000) 3) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2)))) 3))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (+.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 102757979785251069442117317613/235200000000000000000000000 z))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (fma.f64 102757979785251069442117317613/235200000000000000000000000 z 1106209385320415913103082059/4200000000000000000000000)))) |
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (+.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 102757979785251069442117317613/235200000000000000000000000 z))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (fma.f64 102757979785251069442117317613/235200000000000000000000000 z 1106209385320415913103082059/4200000000000000000000000)))) |
(exp.f64 (+.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))) (+.f64 (+.f64 z -15/2) (log.f64 (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000))))) |
(exp.f64 (+.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))) (+.f64 z (+.f64 -15/2 (log.f64 (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000)))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2))) (exp.f64 (+.f64 z (+.f64 -15/2 (log.f64 (fma.f64 102757979785251069442117317613/235200000000000000000000000 z 1106209385320415913103082059/4200000000000000000000000)))))) |
(exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))) (+.f64 (+.f64 z -15/2) (log.f64 (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000)))) 1)) |
(exp.f64 (+.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))) (+.f64 z (+.f64 -15/2 (log.f64 (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000)))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2))) (exp.f64 (+.f64 z (+.f64 -15/2 (log.f64 (fma.f64 102757979785251069442117317613/235200000000000000000000000 z 1106209385320415913103082059/4200000000000000000000000)))))) |
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (+.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 102757979785251069442117317613/235200000000000000000000000 z))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (fma.f64 102757979785251069442117317613/235200000000000000000000000 z 1106209385320415913103082059/4200000000000000000000000)))) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2)))) 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))) (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (+.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 102757979785251069442117317613/235200000000000000000000000 z))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (fma.f64 102757979785251069442117317613/235200000000000000000000000 z 1106209385320415913103082059/4200000000000000000000000)))) |
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))) (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (+.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 102757979785251069442117317613/235200000000000000000000000 z))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (fma.f64 102757979785251069442117317613/235200000000000000000000000 z 1106209385320415913103082059/4200000000000000000000000)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) -170836605963169966896917941/4200000000000000000000000) |
| 1.0b | (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) | |
| 1.0b | (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) | |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) |
Compiled 291 to 231 computations (20.6% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) -170836605963169966896917941/4200000000000000000000000) |
| 0.0ms | z | @ | inf | (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) -170836605963169966896917941/4200000000000000000000000) |
| 0.0ms | z | @ | -inf | (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) -170836605963169966896917941/4200000000000000000000000) |
| 1× | batch-egg-rewrite |
| 600× | +-commutative |
| 574× | associate-+l+ |
| 462× | add-sqr-sqrt |
| 438× | add-exp-log |
| 438× | add-cbrt-cube |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 55 |
| 1 | 447 | 55 |
| 2 | 6663 | 55 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) -170836605963169966896917941/4200000000000000000000000) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -170836605963169966896917941/4200000000000000000000000))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -170836605963169966896917941/4200000000000000000000000)))) (/.f64 29185145937015400292960077140270612279981804887679481/17640000000000000000000000000000000000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -170836605963169966896917941/4200000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -170836605963169966896917941/4200000000000000000000000 (exp.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -170836605963169966896917941/4200000000000000000000000 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (/.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (-.f64 (/.f64 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| 1× | egg-herbie |
| 1550× | associate-*r* |
| 1440× | distribute-lft-in |
| 1334× | associate-*l* |
| 1220× | distribute-rgt-in |
| 612× | +-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 188 | 4525 |
| 1 | 490 | 4377 |
| 2 | 1854 | 4013 |
| 1× | node limit |
| Inputs |
|---|
1106209385320415913103082059/4200000000000000000000000 |
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(/.f64 (+.f64 -4985891276419510864802147222441056237787773053145512105457480490988862366468621/74088000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 3)) (+.f64 29185145937015400292960077140270612279981804887679481/17640000000000000000000000000000000000000000000000 (-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) -170836605963169966896917941/4200000000000000000000000)))) |
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(/.f64 (-.f64 29185145937015400292960077140270612279981804887679481/17640000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2)) (-.f64 -170836605963169966896917941/4200000000000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) |
(/.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -170836605963169966896917941/4200000000000000000000000)) 3)) (-.f64 (+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -170836605963169966896917941/4200000000000000000000000)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -170836605963169966896917941/4200000000000000000000000)))) (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -170836605963169966896917941/4200000000000000000000000))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2) -29185145937015400292960077140270612279981804887679481/17640000000000000000000000000000000000000000000000)) (neg.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -170836605963169966896917941/4200000000000000000000000))))) |
(/.f64 (neg.f64 (+.f64 -4985891276419510864802147222441056237787773053145512105457480490988862366468621/74088000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 3))) (neg.f64 (+.f64 29185145937015400292960077140270612279981804887679481/17640000000000000000000000000000000000000000000000 (-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) -170836605963169966896917941/4200000000000000000000000))))) |
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(pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -170836605963169966896917941/4200000000000000000000000)))) 3) |
(pow.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -170836605963169966896917941/4200000000000000000000000))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -170836605963169966896917941/4200000000000000000000000))) 2)) |
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(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -170836605963169966896917941/4200000000000000000000000))))) |
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(fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -170836605963169966896917941/4200000000000000000000000))) |
(fma.f64 1 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -170836605963169966896917941/4200000000000000000000000))) |
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(fma.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) -170836605963169966896917941/4200000000000000000000000) |
(fma.f64 (sqrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (sqrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -170836605963169966896917941/4200000000000000000000000))) |
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(fma.f64 (pow.f64 (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -170836605963169966896917941/4200000000000000000000000))) |
| Outputs |
|---|
1106209385320415913103082059/4200000000000000000000000 |
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 40269435042492127/90000000000000 z)) |
(fma.f64 40269435042492127/90000000000000 z 1106209385320415913103082059/4200000000000000000000000) |
(+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 40269435042492127/90000000000000 z) (*.f64 295755570232608827/540000000000000 (pow.f64 z 2)))) |
(+.f64 1106209385320415913103082059/4200000000000000000000000 (fma.f64 40269435042492127/90000000000000 z (*.f64 295755570232608827/540000000000000 (*.f64 z z)))) |
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(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -170836605963169966896917941/4200000000000000000000000))))) |
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(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -170836605963169966896917941/4200000000000000000000000)))) 1)) |
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(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -170836605963169966896917941/4200000000000000000000000))))) |
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(fma.f64 (pow.f64 (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -170836605963169966896917941/4200000000000000000000000))) |
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 -170836605963169966896917941/4200000000000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) |
(+.f64 -170836605963169966896917941/4200000000000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.0b | (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) | |
| 1.0b | (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) | |
| ✓ | 1.0b | (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) |
Compiled 498 to 393 computations (21.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | inf | (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) |
| 0.0ms | z | @ | 0 | (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) |
| 0.0ms | z | @ | -inf | (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) |
| 1× | batch-egg-rewrite |
| 1432× | associate-/r* |
| 1118× | associate-/r/ |
| 634× | associate-/l* |
| 350× | associate-/l/ |
| 302× | add-sqr-sqrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 31 |
| 1 | 292 | 31 |
| 2 | 4112 | 31 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 954× | associate-+r+ |
| 884× | associate-+l+ |
| 720× | distribute-lft-in |
| 676× | distribute-rgt-in |
| 642× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 525 | 11122 |
| 1 | 1666 | 10740 |
| 2 | 6959 | 10688 |
| 1× | node limit |
| Inputs |
|---|
-11173853963059511/30000000000000 |
(-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000) |
(-.f64 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2))) 11173853963059511/30000000000000) |
(-.f64 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (+.f64 (*.f64 -224122754235180443/3240000000000000 (pow.f64 z 3)) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)))) 11173853963059511/30000000000000) |
(/.f64 4878157879447497/10000000000000 z) |
(+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z))) |
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))) |
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))) |
(/.f64 4878157879447497/10000000000000 z) |
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(/.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (sqrt.f64 (*.f64 (-.f64 2 z) (-.f64 3 z)))) (sqrt.f64 (*.f64 (-.f64 2 z) (-.f64 3 z)))) |
(/.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (*.f64 (cbrt.f64 (*.f64 (-.f64 2 z) (-.f64 3 z))) (cbrt.f64 (*.f64 (-.f64 2 z) (-.f64 3 z))))) (cbrt.f64 (*.f64 (-.f64 2 z) (-.f64 3 z)))) |
(/.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (*.f64 (-.f64 2 z) (sqrt.f64 (-.f64 3 z)))) (sqrt.f64 (-.f64 3 z))) |
(/.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (*.f64 (-.f64 2 z) (pow.f64 (cbrt.f64 (-.f64 3 z)) 2))) (cbrt.f64 (-.f64 3 z))) |
(/.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (*.f64 (sqrt.f64 (-.f64 2 z)) (sqrt.f64 (-.f64 3 z)))) (*.f64 (sqrt.f64 (-.f64 2 z)) (sqrt.f64 (-.f64 3 z)))) |
(/.f64 (/.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (-.f64 2 z)) (sqrt.f64 (-.f64 3 z))) (sqrt.f64 (-.f64 3 z))) |
(/.f64 (/.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (-.f64 2 z)) (cbrt.f64 (-.f64 3 z))) (pow.f64 (cbrt.f64 (-.f64 3 z)) 2)) |
(/.f64 (/.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (-.f64 2 z)) (pow.f64 (cbrt.f64 (-.f64 3 z)) 2)) (cbrt.f64 (-.f64 3 z))) |
(/.f64 (/.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (-.f64 2 z)) (-.f64 9 (*.f64 z z))) (/.f64 1 (+.f64 z 3))) |
(/.f64 (/.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (-.f64 2 z)) (-.f64 27 (pow.f64 z 3))) (/.f64 1 (+.f64 9 (*.f64 z (+.f64 z 3))))) |
(/.f64 (/.f64 (+.f64 (-.f64 2 z) (*.f64 -3147848041806007/2500000000000 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)))) (-.f64 2 z)) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) |
(/.f64 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (+.f64 -3 z)) (*.f64 (-.f64 2 z) -7713234287776531/10000000000000)) (-.f64 2 z)) (+.f64 -3 z)) |
(/.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (*.f64 2500000000000/3147848041806007 (+.f64 -2 z)) 7713234287776531/10000000000000)) (*.f64 2500000000000/3147848041806007 (+.f64 -2 z))) (-.f64 3 z)) |
(/.f64 (/.f64 (+.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) (*.f64 (*.f64 2500000000000/3147848041806007 (+.f64 -2 z)) 1)) (*.f64 2500000000000/3147848041806007 (+.f64 -2 z))) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) |
(/.f64 (/.f64 (+.f64 (+.f64 -3 z) (*.f64 (*.f64 2500000000000/3147848041806007 (+.f64 -2 z)) -7713234287776531/10000000000000)) (*.f64 2500000000000/3147848041806007 (+.f64 -2 z))) (+.f64 -3 z)) |
(/.f64 (/.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (-.f64 3 z)) (*.f64 (+.f64 -2 z) 7713234287776531/10000000000000)) (+.f64 -2 z)) (-.f64 3 z)) |
(/.f64 (/.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) (*.f64 (+.f64 -2 z) 1)) (+.f64 -2 z)) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) |
(/.f64 (/.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (+.f64 -3 z)) (*.f64 (+.f64 -2 z) -7713234287776531/10000000000000)) (+.f64 -2 z)) (+.f64 -3 z)) |
(/.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 7713234287776531/10000000000000 (*.f64 2500000000000/3147848041806007 (+.f64 -2 z)))) (-.f64 3 z)) (*.f64 2500000000000/3147848041806007 (+.f64 -2 z))) |
(/.f64 (/.f64 (+.f64 (*.f64 7713234287776531/10000000000000 (+.f64 -2 z)) (*.f64 (-.f64 3 z) 3147848041806007/2500000000000)) (-.f64 3 z)) (+.f64 -2 z)) |
(/.f64 (/.f64 (+.f64 (-.f64 2 z) (*.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) -3147848041806007/2500000000000)) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) (-.f64 2 z)) |
(/.f64 (/.f64 (+.f64 (*.f64 2500000000000/3147848041806007 (+.f64 -2 z)) (*.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) 1)) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) (*.f64 2500000000000/3147848041806007 (+.f64 -2 z))) |
(/.f64 (/.f64 (+.f64 (+.f64 -2 z) (*.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) 3147848041806007/2500000000000)) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) (+.f64 -2 z)) |
(/.f64 (/.f64 (+.f64 (*.f64 -7713234287776531/10000000000000 (-.f64 2 z)) (*.f64 (+.f64 -3 z) -3147848041806007/2500000000000)) (+.f64 -3 z)) (-.f64 2 z)) |
(/.f64 (/.f64 (+.f64 (*.f64 -7713234287776531/10000000000000 (*.f64 2500000000000/3147848041806007 (+.f64 -2 z))) (*.f64 (+.f64 -3 z) 1)) (+.f64 -3 z)) (*.f64 2500000000000/3147848041806007 (+.f64 -2 z))) |
(/.f64 (/.f64 (+.f64 (*.f64 -7713234287776531/10000000000000 (+.f64 -2 z)) (*.f64 (+.f64 -3 z) 3147848041806007/2500000000000)) (+.f64 -3 z)) (+.f64 -2 z)) |
(pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1) |
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 3) |
(pow.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2)) |
(log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) |
(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) |
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) |
(fma.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) |
(fma.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
(fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) |
| Outputs |
|---|
-11173853963059511/30000000000000 |
(-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000) |
(fma.f64 -5154349522119383/22500000000000 z -11173853963059511/30000000000000) |
(-.f64 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2))) 11173853963059511/30000000000000) |
(+.f64 (fma.f64 -5154349522119383/22500000000000 z (*.f64 -69565428553209127/540000000000000 (*.f64 z z))) -11173853963059511/30000000000000) |
(fma.f64 -5154349522119383/22500000000000 z (fma.f64 -69565428553209127/540000000000000 (*.f64 z z) -11173853963059511/30000000000000)) |
(-.f64 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (+.f64 (*.f64 -224122754235180443/3240000000000000 (pow.f64 z 3)) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)))) 11173853963059511/30000000000000) |
(+.f64 (fma.f64 -5154349522119383/22500000000000 z (fma.f64 -224122754235180443/3240000000000000 (pow.f64 z 3) (*.f64 -69565428553209127/540000000000000 (*.f64 z z)))) -11173853963059511/30000000000000) |
(+.f64 (fma.f64 -69565428553209127/540000000000000 (*.f64 z z) (*.f64 -224122754235180443/3240000000000000 (pow.f64 z 3))) (fma.f64 -5154349522119383/22500000000000 z -11173853963059511/30000000000000)) |
(+.f64 (fma.f64 -5154349522119383/22500000000000 z -11173853963059511/30000000000000) (fma.f64 -69565428553209127/540000000000000 (*.f64 z z) (*.f64 -224122754235180443/3240000000000000 (pow.f64 z 3)))) |
(/.f64 4878157879447497/10000000000000 z) |
(+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z))) |
(+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (/.f64 4878157879447497/10000000000000 z)) |
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))) |
(+.f64 (/.f64 4878157879447497/10000000000000 z) (-.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (/.f64 19053539921092667/10000000000000 (pow.f64 z 3)))) |
(+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (-.f64 (/.f64 4878157879447497/10000000000000 z) (/.f64 19053539921092667/10000000000000 (pow.f64 z 3)))) |
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))) |
(+.f64 (/.f64 4878157879447497/10000000000000 z) (-.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (+.f64 (/.f64 19053539921092667/10000000000000 (pow.f64 z 3)) (/.f64 107526188432174113/10000000000000 (pow.f64 z 4))))) |
(+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (-.f64 (/.f64 4878157879447497/10000000000000 z) (+.f64 (/.f64 19053539921092667/10000000000000 (pow.f64 z 3)) (/.f64 107526188432174113/10000000000000 (pow.f64 z 4))))) |
(/.f64 4878157879447497/10000000000000 z) |
(+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z))) |
(+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (/.f64 4878157879447497/10000000000000 z)) |
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))) |
(+.f64 (/.f64 4878157879447497/10000000000000 z) (-.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (/.f64 19053539921092667/10000000000000 (pow.f64 z 3)))) |
(+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (-.f64 (/.f64 4878157879447497/10000000000000 z) (/.f64 19053539921092667/10000000000000 (pow.f64 z 3)))) |
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))) |
(+.f64 (/.f64 4878157879447497/10000000000000 z) (-.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (+.f64 (/.f64 19053539921092667/10000000000000 (pow.f64 z 3)) (/.f64 107526188432174113/10000000000000 (pow.f64 z 4))))) |
(+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (-.f64 (/.f64 4878157879447497/10000000000000 z) (+.f64 (/.f64 19053539921092667/10000000000000 (pow.f64 z 3)) (/.f64 107526188432174113/10000000000000 (pow.f64 z 4))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (-.f64 1 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (expm1.f64 (log1p.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 1) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
(-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (*.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (pow.f64 (-.f64 2 z) 2))) (/.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) |
(+.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z))) (pow.f64 (-.f64 2 z) 2))) (/.f64 (/.f64 -59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z))))) |
(-.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 1) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) |
(-.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (exp.f64 (log1p.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 1) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (expm1.f64 (log1p.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) |
(*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
(*.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
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(/.f64 (/.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (+.f64 -3 z)) (*.f64 (+.f64 -2 z) -7713234287776531/10000000000000)) (+.f64 -2 z)) (+.f64 -3 z)) |
(/.f64 (fma.f64 -7713234287776531/10000000000000 (+.f64 z -2) (*.f64 (+.f64 z -3) 3147848041806007/2500000000000)) (*.f64 (+.f64 z -3) (+.f64 z -2))) |
(/.f64 (fma.f64 (+.f64 z -3) 3147848041806007/2500000000000 (+.f64 7713234287776531/5000000000000 (*.f64 z -7713234287776531/10000000000000))) (*.f64 (+.f64 z -3) (+.f64 z -2))) |
(/.f64 (+.f64 (+.f64 (*.f64 z -7713234287776531/10000000000000) -11173853963059511/5000000000000) (*.f64 z 3147848041806007/2500000000000)) (*.f64 (+.f64 z -3) (+.f64 z -2))) |
(/.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 7713234287776531/10000000000000 (*.f64 2500000000000/3147848041806007 (+.f64 -2 z)))) (-.f64 3 z)) (*.f64 2500000000000/3147848041806007 (+.f64 -2 z))) |
(/.f64 (+.f64 (-.f64 3 z) (*.f64 7713234287776531/12591392167224028 (+.f64 z -2))) (*.f64 (-.f64 3 z) (+.f64 -5000000000000/3147848041806007 (*.f64 2500000000000/3147848041806007 z)))) |
(/.f64 (fma.f64 7713234287776531/12591392167224028 (+.f64 z -2) (-.f64 3 z)) (*.f64 (-.f64 3 z) (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)))) |
(/.f64 (-.f64 (+.f64 (*.f64 7713234287776531/12591392167224028 z) 11173853963059511/6295696083612014) z) (*.f64 (-.f64 3 z) (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)))) |
(/.f64 (/.f64 (+.f64 (*.f64 7713234287776531/10000000000000 (+.f64 -2 z)) (*.f64 (-.f64 3 z) 3147848041806007/2500000000000)) (-.f64 3 z)) (+.f64 -2 z)) |
(/.f64 (fma.f64 -7713234287776531/10000000000000 (-.f64 2 z) (*.f64 -3147848041806007/2500000000000 (+.f64 z -3))) (*.f64 (-.f64 2 z) (+.f64 z -3))) |
(/.f64 (fma.f64 7713234287776531/10000000000000 (+.f64 z -2) (+.f64 9443544125418021/2500000000000 (*.f64 z -3147848041806007/2500000000000))) (*.f64 (-.f64 3 z) (+.f64 z -2))) |
(/.f64 (+.f64 (+.f64 (*.f64 z 7713234287776531/10000000000000) 11173853963059511/5000000000000) (*.f64 z -3147848041806007/2500000000000)) (*.f64 (-.f64 3 z) (+.f64 z -2))) |
(/.f64 (/.f64 (+.f64 (-.f64 2 z) (*.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) -3147848041806007/2500000000000)) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) (-.f64 2 z)) |
(/.f64 (+.f64 (-.f64 2 z) (*.f64 -3147848041806007/2500000000000 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)))) (*.f64 (-.f64 2 z) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)))) |
(/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) (-.f64 2 z)) (*.f64 (-.f64 2 z) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)))) |
(/.f64 (/.f64 (+.f64 (*.f64 2500000000000/3147848041806007 (+.f64 -2 z)) (*.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) 1)) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) (*.f64 2500000000000/3147848041806007 (+.f64 -2 z))) |
(/.f64 (fma.f64 2500000000000/3147848041806007 (+.f64 z -2) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) (*.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) (+.f64 -5000000000000/3147848041806007 (*.f64 2500000000000/3147848041806007 z)))) |
(/.f64 (fma.f64 (+.f64 z -2) 2500000000000/3147848041806007 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) (*.f64 (+.f64 z -2) (*.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) 2500000000000/3147848041806007))) |
(/.f64 (-.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) 55869269815297555000000000000/24280089448768304182713669421717) (/.f64 z 7713234287776531/10000000000000)) (*.f64 (+.f64 z -2) (*.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) 2500000000000/3147848041806007))) |
(/.f64 (/.f64 (+.f64 (+.f64 -2 z) (*.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) 3147848041806007/2500000000000)) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) (+.f64 -2 z)) |
(/.f64 (fma.f64 3147848041806007/2500000000000 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) (+.f64 z -2)) (*.f64 (+.f64 z -2) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)))) |
(/.f64 (fma.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) 3147848041806007/2500000000000 (+.f64 z -2)) (*.f64 (+.f64 z -2) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)))) |
(/.f64 (/.f64 (+.f64 (*.f64 -7713234287776531/10000000000000 (-.f64 2 z)) (*.f64 (+.f64 -3 z) -3147848041806007/2500000000000)) (+.f64 -3 z)) (-.f64 2 z)) |
(/.f64 (fma.f64 -7713234287776531/10000000000000 (-.f64 2 z) (*.f64 -3147848041806007/2500000000000 (+.f64 z -3))) (*.f64 (-.f64 2 z) (+.f64 z -3))) |
(/.f64 (fma.f64 7713234287776531/10000000000000 (+.f64 z -2) (+.f64 9443544125418021/2500000000000 (*.f64 z -3147848041806007/2500000000000))) (*.f64 (-.f64 3 z) (+.f64 z -2))) |
(/.f64 (+.f64 (+.f64 (*.f64 z 7713234287776531/10000000000000) 11173853963059511/5000000000000) (*.f64 z -3147848041806007/2500000000000)) (*.f64 (-.f64 3 z) (+.f64 z -2))) |
(/.f64 (/.f64 (+.f64 (*.f64 -7713234287776531/10000000000000 (*.f64 2500000000000/3147848041806007 (+.f64 -2 z))) (*.f64 (+.f64 -3 z) 1)) (+.f64 -3 z)) (*.f64 2500000000000/3147848041806007 (+.f64 -2 z))) |
(/.f64 (+.f64 -3 (+.f64 z (*.f64 -7713234287776531/12591392167224028 (+.f64 z -2)))) (*.f64 (+.f64 z -3) (+.f64 -5000000000000/3147848041806007 (*.f64 2500000000000/3147848041806007 z)))) |
(/.f64 (fma.f64 -7713234287776531/12591392167224028 (+.f64 z -2) (+.f64 z -3)) (*.f64 (+.f64 z -2) (*.f64 (+.f64 z -3) 2500000000000/3147848041806007))) |
(/.f64 (+.f64 z (+.f64 (*.f64 -7713234287776531/12591392167224028 z) -11173853963059511/6295696083612014)) (*.f64 (+.f64 z -2) (*.f64 (+.f64 z -3) 2500000000000/3147848041806007))) |
(/.f64 (/.f64 (+.f64 (*.f64 -7713234287776531/10000000000000 (+.f64 -2 z)) (*.f64 (+.f64 -3 z) 3147848041806007/2500000000000)) (+.f64 -3 z)) (+.f64 -2 z)) |
(/.f64 (fma.f64 -7713234287776531/10000000000000 (+.f64 z -2) (*.f64 (+.f64 z -3) 3147848041806007/2500000000000)) (*.f64 (+.f64 z -3) (+.f64 z -2))) |
(/.f64 (fma.f64 (+.f64 z -3) 3147848041806007/2500000000000 (+.f64 7713234287776531/5000000000000 (*.f64 z -7713234287776531/10000000000000))) (*.f64 (+.f64 z -3) (+.f64 z -2))) |
(/.f64 (+.f64 (+.f64 (*.f64 z -7713234287776531/10000000000000) -11173853963059511/5000000000000) (*.f64 z 3147848041806007/2500000000000)) (*.f64 (+.f64 z -3) (+.f64 z -2))) |
(pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 3) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
(pow.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3) 1/3) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2)) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)) |
(fabs.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) |
(log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3)) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1)) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
(fma.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
(fma.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
(fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
Compiled 72038 to 55418 computations (23.1% saved)
45 alts after pruning (42 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1009 | 30 | 1039 |
| Fresh | 6 | 12 | 18 |
| Picked | 0 | 1 | 1 |
| Done | 3 | 2 | 5 |
| Total | 1018 | 45 | 1063 |
| Status | Error | Program |
|---|---|---|
| 56.6b | (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) z) | |
| 56.6b | (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 z (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) | |
| 56.6b | (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) | |
| 56.6b | (/.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) | |
| 1.6b | (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))))) z) | |
| 56.6b | (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) | |
| 56.6b | (/.f64 1 (/.f64 z (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) | |
| 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) | |
| 0.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (*.f64 2500000000000/3147848041806007 (+.f64 -2 z)) 7713234287776531/10000000000000)) (*.f64 2500000000000/3147848041806007 (+.f64 -2 z))) (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) | |
| ▶ | 0.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 (/.f64 (+.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) (*.f64 (*.f64 2500000000000/3147848041806007 (+.f64 -2 z)) 1)) (*.f64 2500000000000/3147848041806007 (+.f64 -2 z))) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
| 1.1b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) | |
| ✓ | 0.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
| ✓ | 1.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
| 1.1b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) | |
| 2.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 -170836605963169966896917941/4200000000000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))) | |
| 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)) -170836605963169966896917941/4200000000000000000000000)))) | |
| 0.9b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 170836605963169966896917941/4200000000000000000000000))))) | |
| ✓ | 0.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))))) |
| 2.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000))) -170836605963169966896917941/4200000000000000000000000)))) | |
| 1.6b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) -11173853963059511/30000000000000) -170836605963169966896917941/4200000000000000000000000)))) | |
| 2.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (+.f64 40269435042492127/90000000000000 (*.f64 z 295755570232608827/540000000000000))))))) | |
| 1.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))) | |
| 1.6b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) | |
| ▶ | 0.9b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
| 1.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) | |
| 1.1b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) | |
| 0.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) | |
| 0.9b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (*.f64 1 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) | |
| ▶ | 2.3b | (*.f64 (/.f64 1 z) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
| 2.3b | (*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (-.f64 z 15/2)) 1106209385320415913103082059/4200000000000000000000000))) | |
| 2.3b | (*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000))) | |
| 1.8b | (*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) | |
| ▶ | 1.5b | (*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
| 2.3b | (*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (*.f64 2 (-.f64 1/2 z))))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) | |
| 1.7b | (*.f64 (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) | |
| 56.6b | (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 (-.f64 15/2 z)))) | |
| 1.7b | (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) | |
| 1.7b | (*.f64 (*.f64 (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))) (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) | |
| 1.9b | (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) z)) (sqrt.f64 (PI.f64))) | |
| 56.6b | (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) | |
| ▶ | 56.6b | (*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
| 1.8b | (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))) | |
| 1.7b | (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) | |
| 1.8b | (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) | |
| 1.6b | (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) |
Compiled 3474 to 2854 computations (17.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (+.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) (*.f64 (*.f64 2500000000000/3147848041806007 (+.f64 -2 z)) 1)) |
| ✓ | 1.0b | (/.f64 (/.f64 (+.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) (*.f64 (*.f64 2500000000000/3147848041806007 (+.f64 -2 z)) 1)) (*.f64 2500000000000/3147848041806007 (+.f64 -2 z))) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) |
| 1.0b | (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) | |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) |
Compiled 636 to 511 computations (19.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | -inf | (/.f64 (/.f64 (+.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) (*.f64 (*.f64 2500000000000/3147848041806007 (+.f64 -2 z)) 1)) (*.f64 2500000000000/3147848041806007 (+.f64 -2 z))) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) |
| 0.0ms | z | @ | 0 | (/.f64 (/.f64 (+.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) (*.f64 (*.f64 2500000000000/3147848041806007 (+.f64 -2 z)) 1)) (*.f64 2500000000000/3147848041806007 (+.f64 -2 z))) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) |
| 0.0ms | z | @ | inf | (/.f64 (/.f64 (+.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) (*.f64 (*.f64 2500000000000/3147848041806007 (+.f64 -2 z)) 1)) (*.f64 2500000000000/3147848041806007 (+.f64 -2 z))) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) |
| 0.0ms | z | @ | 0 | (+.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) (*.f64 (*.f64 2500000000000/3147848041806007 (+.f64 -2 z)) 1)) |
| 0.0ms | z | @ | inf | (+.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) (*.f64 (*.f64 2500000000000/3147848041806007 (+.f64 -2 z)) 1)) |
| 1× | batch-egg-rewrite |
| 1640× | distribute-lft-in |
| 390× | associate-+l+ |
| 368× | add-sqr-sqrt |
| 348× | add-exp-log |
| 348× | add-cbrt-cube |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 98 |
| 1 | 386 | 90 |
| 2 | 5207 | 86 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (+.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) (*.f64 (*.f64 2500000000000/3147848041806007 (+.f64 -2 z)) 1)) (*.f64 2500000000000/3147848041806007 (+.f64 -2 z))) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) |
(+.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) (*.f64 (*.f64 2500000000000/3147848041806007 (+.f64 -2 z)) 1)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1260× | associate-/l/ |
| 976× | associate-+l+ |
| 846× | associate-+r+ |
| 820× | associate-/r/ |
| 804× | +-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 339 | 5799 |
| 1 | 971 | 4415 |
| 2 | 4648 | 4403 |
| 1× | node limit |
| Inputs |
|---|
-11173853963059511/30000000000000 |
(-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000) |
(-.f64 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2))) 11173853963059511/30000000000000) |
(-.f64 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (+.f64 (*.f64 -224122754235180443/3240000000000000 (pow.f64 z 3)) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)))) 11173853963059511/30000000000000) |
(/.f64 4878157879447497/10000000000000 z) |
(+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z))) |
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))) |
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))) |
(/.f64 4878157879447497/10000000000000 z) |
(+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z))) |
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))) |
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))) |
55869269815297555000000000000/24280089448768304182713669421717 |
(+.f64 55869269815297555000000000000/24280089448768304182713669421717 (*.f64 -12195394698618742500000000000/24280089448768304182713669421717 z)) |
(+.f64 55869269815297555000000000000/24280089448768304182713669421717 (*.f64 -12195394698618742500000000000/24280089448768304182713669421717 z)) |
(+.f64 55869269815297555000000000000/24280089448768304182713669421717 (*.f64 -12195394698618742500000000000/24280089448768304182713669421717 z)) |
(*.f64 -12195394698618742500000000000/24280089448768304182713669421717 z) |
(+.f64 55869269815297555000000000000/24280089448768304182713669421717 (*.f64 -12195394698618742500000000000/24280089448768304182713669421717 z)) |
(+.f64 55869269815297555000000000000/24280089448768304182713669421717 (*.f64 -12195394698618742500000000000/24280089448768304182713669421717 z)) |
(+.f64 55869269815297555000000000000/24280089448768304182713669421717 (*.f64 -12195394698618742500000000000/24280089448768304182713669421717 z)) |
(*.f64 -12195394698618742500000000000/24280089448768304182713669421717 z) |
(+.f64 55869269815297555000000000000/24280089448768304182713669421717 (*.f64 -12195394698618742500000000000/24280089448768304182713669421717 z)) |
(+.f64 55869269815297555000000000000/24280089448768304182713669421717 (*.f64 -12195394698618742500000000000/24280089448768304182713669421717 z)) |
(+.f64 55869269815297555000000000000/24280089448768304182713669421717 (*.f64 -12195394698618742500000000000/24280089448768304182713669421717 z)) |
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(pow.f64 (/.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)) (*.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)) (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)))) 1) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)) (*.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)) (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007))))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)) (*.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)) (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007))))) 3) |
(pow.f64 (pow.f64 (/.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)) (*.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)) (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)))) 3) 1/3) |
(pow.f64 (*.f64 (/.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)) (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717))) (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007))) -1) |
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)) (*.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)) (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007))))))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)) (*.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)) (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)))) 3)) |
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(-.f64 30000000000000/7713234287776531 (fma.f64 z 10000000000000/7713234287776531 (+.f64 5000000000000/3147848041806007 (*.f64 -2500000000000/3147848041806007 z)))) |
(-.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)) (+.f64 5000000000000/3147848041806007 (*.f64 -2500000000000/3147848041806007 z))) |
(-.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)) (fma.f64 (neg.f64 (+.f64 z -2)) 2500000000000/3147848041806007 (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)))) |
(-.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)) (fma.f64 -2500000000000/3147848041806007 (+.f64 z -2) (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)))) |
(-.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)) (fma.f64 (+.f64 5000000000000/3147848041806007 (*.f64 -2500000000000/3147848041806007 z)) 1 (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)))) |
(-.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)) (fma.f64 -1 (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)) (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)))) |
(-.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)))) (sqrt.f64 (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007))) (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)))) |
(-.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)))) (pow.f64 (cbrt.f64 (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007))) 2) (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)))) |
(-.f64 (exp.f64 (log.f64 (+.f64 7743234287776531/7713234287776531 (*.f64 z -10000000000000/7713234287776531)))) (-.f64 1 (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)))) |
(-.f64 (exp.f64 (log.f64 (+.f64 3142848041806007/3147848041806007 (*.f64 z 2500000000000/3147848041806007)))) (-.f64 1 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)))) 1) |
(-.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) 55869269815297555000000000000/24280089448768304182713669421717) (*.f64 z 10000000000000/7713234287776531)) |
(-.f64 (/.f64 (pow.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)) 2) (-.f64 (+.f64 (*.f64 z -10000000000000/7713234287776531) 133001612693062865000000000000/24280089448768304182713669421717) (*.f64 z 2500000000000/3147848041806007))) (/.f64 (*.f64 6250000000000000000000000/9908947294301912793614221284049 (pow.f64 (+.f64 z -2) 2)) (-.f64 (+.f64 (*.f64 z -10000000000000/7713234287776531) 133001612693062865000000000000/24280089448768304182713669421717) (*.f64 z 2500000000000/3147848041806007)))) |
(-.f64 (/.f64 900000000000000000000000000/59493983178131529437839794393961 (-.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531))) (-.f64 (/.f64 (*.f64 (*.f64 z z) 100000000000000000000000000/59493983178131529437839794393961) (-.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531))) (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)))) |
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(-.f64 (+.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)) (exp.f64 (log.f64 (+.f64 3142848041806007/3147848041806007 (*.f64 z 2500000000000/3147848041806007))))) 1) |
(-.f64 (+.f64 (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)) (exp.f64 (log.f64 (+.f64 7743234287776531/7713234287776531 (*.f64 z -10000000000000/7713234287776531))))) 1) |
(-.f64 (+.f64 (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)) (/.f64 900000000000000000000000000/59493983178131529437839794393961 (-.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)))) (/.f64 (*.f64 (*.f64 z z) 100000000000000000000000000/59493983178131529437839794393961) (-.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)))) |
(-.f64 (+.f64 (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)) (/.f64 27000000000000000000000000000000000000000/458891030965964263706993392018425544321343929291 (+.f64 900000000000000000000000000/59493983178131529437839794393961 (*.f64 (*.f64 z 10000000000000/7713234287776531) (-.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)))))) (/.f64 (*.f64 (pow.f64 z 3) 1000000000000000000000000000000000000000/458891030965964263706993392018425544321343929291) (+.f64 900000000000000000000000000/59493983178131529437839794393961 (*.f64 (*.f64 z 10000000000000/7713234287776531) (-.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)))))) |
(-.f64 (+.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) 55869269815297555000000000000/24280089448768304182713669421717) 0) (*.f64 z 10000000000000/7713234287776531)) |
(*.f64 1 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717))) |
(*.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)) 1) |
(*.f64 (sqrt.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717))) (sqrt.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)))) |
(*.f64 (cbrt.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717))) 2) (cbrt.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)) 2) (*.f64 6250000000000000000000000/9908947294301912793614221284049 (pow.f64 (+.f64 z -2) 2))) (/.f64 1 (-.f64 (+.f64 (*.f64 z -10000000000000/7713234287776531) 133001612693062865000000000000/24280089448768304182713669421717) (*.f64 z 2500000000000/3147848041806007)))) |
(*.f64 (+.f64 (pow.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)) 3) (pow.f64 (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)) 2) (*.f64 (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)) (-.f64 (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)) (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531))))))) |
(/.f64 1 (/.f64 (-.f64 (+.f64 (*.f64 z -10000000000000/7713234287776531) 133001612693062865000000000000/24280089448768304182713669421717) (*.f64 z 2500000000000/3147848041806007)) (-.f64 (pow.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)) 2) (*.f64 6250000000000000000000000/9908947294301912793614221284049 (pow.f64 (+.f64 z -2) 2))))) |
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(/.f64 (-.f64 (pow.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)) 2) (*.f64 6250000000000000000000000/9908947294301912793614221284049 (pow.f64 (+.f64 z -2) 2))) (-.f64 (+.f64 (*.f64 z -10000000000000/7713234287776531) 133001612693062865000000000000/24280089448768304182713669421717) (*.f64 z 2500000000000/3147848041806007))) |
(/.f64 (+.f64 (pow.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)) 3) (pow.f64 (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)) 3)) (+.f64 (pow.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)) 2) (*.f64 (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)) (-.f64 (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)) (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)) 2) (*.f64 6250000000000000000000000/9908947294301912793614221284049 (pow.f64 (+.f64 z -2) 2)))) (neg.f64 (-.f64 (+.f64 (*.f64 z -10000000000000/7713234287776531) 133001612693062865000000000000/24280089448768304182713669421717) (*.f64 z 2500000000000/3147848041806007)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)) 3) (pow.f64 (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)) 2) (*.f64 (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)) (-.f64 (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)) (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531))))))) |
(/.f64 (-.f64 (*.f64 6250000000000000000000000/9908947294301912793614221284049 (pow.f64 (+.f64 z -2) 2)) (pow.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)) 2)) (-.f64 (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)) (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)))) |
(/.f64 (-.f64 900000000000000000000000000/59493983178131529437839794393961 (*.f64 (fma.f64 z 10000000000000/7713234287776531 (+.f64 5000000000000/3147848041806007 (*.f64 -2500000000000/3147848041806007 z))) (fma.f64 z 10000000000000/7713234287776531 (+.f64 5000000000000/3147848041806007 (*.f64 -2500000000000/3147848041806007 z))))) (+.f64 30000000000000/7713234287776531 (fma.f64 z 10000000000000/7713234287776531 (+.f64 5000000000000/3147848041806007 (*.f64 -2500000000000/3147848041806007 z))))) |
(/.f64 (-.f64 27000000000000000000000000000000000000000/458891030965964263706993392018425544321343929291 (pow.f64 (fma.f64 z 10000000000000/7713234287776531 (+.f64 5000000000000/3147848041806007 (*.f64 -2500000000000/3147848041806007 z))) 3)) (+.f64 900000000000000000000000000/59493983178131529437839794393961 (+.f64 (*.f64 (fma.f64 z 10000000000000/7713234287776531 (+.f64 5000000000000/3147848041806007 (*.f64 -2500000000000/3147848041806007 z))) (fma.f64 z 10000000000000/7713234287776531 (+.f64 5000000000000/3147848041806007 (*.f64 -2500000000000/3147848041806007 z)))) (*.f64 30000000000000/7713234287776531 (fma.f64 z 10000000000000/7713234287776531 (+.f64 5000000000000/3147848041806007 (*.f64 -2500000000000/3147848041806007 z))))))) |
(pow.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)) 1) |
(pow.f64 (sqrt.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717))) 2) |
(pow.f64 (cbrt.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717))) 3) |
(pow.f64 (pow.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)) 2)) |
(log.f64 (exp.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717))))) |
(cbrt.f64 (pow.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)))) |
(exp.f64 (log.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)))) |
(fma.f64 2500000000000/3147848041806007 (+.f64 z -2) (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531))) |
(fma.f64 (+.f64 z -2) 2500000000000/3147848041806007 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531))) |
(fma.f64 1 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)) (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007))) |
(fma.f64 1 (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)) (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531))) |
(fma.f64 (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)) 1 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531))) |
(fma.f64 (sqrt.f64 (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007))) (sqrt.f64 (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007))) (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531))) |
(fma.f64 (sqrt.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531))) (sqrt.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531))) (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007))) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007))) 2) (cbrt.f64 (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007))) (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531))) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531))) 2) (cbrt.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531))) (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007))) |
| Outputs |
|---|
-11173853963059511/30000000000000 |
(-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000) |
(fma.f64 -5154349522119383/22500000000000 z -11173853963059511/30000000000000) |
(-.f64 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2))) 11173853963059511/30000000000000) |
(+.f64 (fma.f64 -5154349522119383/22500000000000 z (*.f64 -69565428553209127/540000000000000 (*.f64 z z))) -11173853963059511/30000000000000) |
(fma.f64 -5154349522119383/22500000000000 z (fma.f64 -69565428553209127/540000000000000 (*.f64 z z) -11173853963059511/30000000000000)) |
(-.f64 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (+.f64 (*.f64 -224122754235180443/3240000000000000 (pow.f64 z 3)) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)))) 11173853963059511/30000000000000) |
(+.f64 (fma.f64 -5154349522119383/22500000000000 z (fma.f64 -224122754235180443/3240000000000000 (pow.f64 z 3) (*.f64 -69565428553209127/540000000000000 (*.f64 z z)))) -11173853963059511/30000000000000) |
(+.f64 (fma.f64 -69565428553209127/540000000000000 (*.f64 z z) (*.f64 -224122754235180443/3240000000000000 (pow.f64 z 3))) (fma.f64 -5154349522119383/22500000000000 z -11173853963059511/30000000000000)) |
(+.f64 (fma.f64 -5154349522119383/22500000000000 z -11173853963059511/30000000000000) (fma.f64 -69565428553209127/540000000000000 (*.f64 z z) (*.f64 -224122754235180443/3240000000000000 (pow.f64 z 3)))) |
(/.f64 4878157879447497/10000000000000 z) |
(+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z))) |
(+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (/.f64 4878157879447497/10000000000000 z)) |
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))) |
(-.f64 (+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (/.f64 4878157879447497/10000000000000 z)) (/.f64 19053539921092667/10000000000000 (pow.f64 z 3))) |
(+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (+.f64 (/.f64 4878157879447497/10000000000000 z) (/.f64 -19053539921092667/10000000000000 (pow.f64 z 3)))) |
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))) |
(+.f64 (/.f64 4878157879447497/10000000000000 z) (-.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (+.f64 (/.f64 19053539921092667/10000000000000 (pow.f64 z 3)) (/.f64 107526188432174113/10000000000000 (pow.f64 z 4))))) |
(+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (-.f64 (/.f64 4878157879447497/10000000000000 z) (+.f64 (/.f64 19053539921092667/10000000000000 (pow.f64 z 3)) (/.f64 107526188432174113/10000000000000 (pow.f64 z 4))))) |
(/.f64 4878157879447497/10000000000000 z) |
(+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z))) |
(+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (/.f64 4878157879447497/10000000000000 z)) |
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))) |
(-.f64 (+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (/.f64 4878157879447497/10000000000000 z)) (/.f64 19053539921092667/10000000000000 (pow.f64 z 3))) |
(+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (+.f64 (/.f64 4878157879447497/10000000000000 z) (/.f64 -19053539921092667/10000000000000 (pow.f64 z 3)))) |
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))) |
(+.f64 (/.f64 4878157879447497/10000000000000 z) (-.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (+.f64 (/.f64 19053539921092667/10000000000000 (pow.f64 z 3)) (/.f64 107526188432174113/10000000000000 (pow.f64 z 4))))) |
(+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (-.f64 (/.f64 4878157879447497/10000000000000 z) (+.f64 (/.f64 19053539921092667/10000000000000 (pow.f64 z 3)) (/.f64 107526188432174113/10000000000000 (pow.f64 z 4))))) |
55869269815297555000000000000/24280089448768304182713669421717 |
(+.f64 55869269815297555000000000000/24280089448768304182713669421717 (*.f64 -12195394698618742500000000000/24280089448768304182713669421717 z)) |
(+.f64 55869269815297555000000000000/24280089448768304182713669421717 (*.f64 z -12195394698618742500000000000/24280089448768304182713669421717)) |
(fma.f64 z -12195394698618742500000000000/24280089448768304182713669421717 55869269815297555000000000000/24280089448768304182713669421717) |
(+.f64 55869269815297555000000000000/24280089448768304182713669421717 (*.f64 -12195394698618742500000000000/24280089448768304182713669421717 z)) |
(+.f64 55869269815297555000000000000/24280089448768304182713669421717 (*.f64 z -12195394698618742500000000000/24280089448768304182713669421717)) |
(fma.f64 z -12195394698618742500000000000/24280089448768304182713669421717 55869269815297555000000000000/24280089448768304182713669421717) |
(+.f64 55869269815297555000000000000/24280089448768304182713669421717 (*.f64 -12195394698618742500000000000/24280089448768304182713669421717 z)) |
(+.f64 55869269815297555000000000000/24280089448768304182713669421717 (*.f64 z -12195394698618742500000000000/24280089448768304182713669421717)) |
(fma.f64 z -12195394698618742500000000000/24280089448768304182713669421717 55869269815297555000000000000/24280089448768304182713669421717) |
(*.f64 -12195394698618742500000000000/24280089448768304182713669421717 z) |
(*.f64 z -12195394698618742500000000000/24280089448768304182713669421717) |
(+.f64 55869269815297555000000000000/24280089448768304182713669421717 (*.f64 -12195394698618742500000000000/24280089448768304182713669421717 z)) |
(+.f64 55869269815297555000000000000/24280089448768304182713669421717 (*.f64 z -12195394698618742500000000000/24280089448768304182713669421717)) |
(fma.f64 z -12195394698618742500000000000/24280089448768304182713669421717 55869269815297555000000000000/24280089448768304182713669421717) |
(+.f64 55869269815297555000000000000/24280089448768304182713669421717 (*.f64 -12195394698618742500000000000/24280089448768304182713669421717 z)) |
(+.f64 55869269815297555000000000000/24280089448768304182713669421717 (*.f64 z -12195394698618742500000000000/24280089448768304182713669421717)) |
(fma.f64 z -12195394698618742500000000000/24280089448768304182713669421717 55869269815297555000000000000/24280089448768304182713669421717) |
(+.f64 55869269815297555000000000000/24280089448768304182713669421717 (*.f64 -12195394698618742500000000000/24280089448768304182713669421717 z)) |
(+.f64 55869269815297555000000000000/24280089448768304182713669421717 (*.f64 z -12195394698618742500000000000/24280089448768304182713669421717)) |
(fma.f64 z -12195394698618742500000000000/24280089448768304182713669421717 55869269815297555000000000000/24280089448768304182713669421717) |
(*.f64 -12195394698618742500000000000/24280089448768304182713669421717 z) |
(*.f64 z -12195394698618742500000000000/24280089448768304182713669421717) |
(+.f64 55869269815297555000000000000/24280089448768304182713669421717 (*.f64 -12195394698618742500000000000/24280089448768304182713669421717 z)) |
(+.f64 55869269815297555000000000000/24280089448768304182713669421717 (*.f64 z -12195394698618742500000000000/24280089448768304182713669421717)) |
(fma.f64 z -12195394698618742500000000000/24280089448768304182713669421717 55869269815297555000000000000/24280089448768304182713669421717) |
(+.f64 55869269815297555000000000000/24280089448768304182713669421717 (*.f64 -12195394698618742500000000000/24280089448768304182713669421717 z)) |
(+.f64 55869269815297555000000000000/24280089448768304182713669421717 (*.f64 z -12195394698618742500000000000/24280089448768304182713669421717)) |
(fma.f64 z -12195394698618742500000000000/24280089448768304182713669421717 55869269815297555000000000000/24280089448768304182713669421717) |
(+.f64 55869269815297555000000000000/24280089448768304182713669421717 (*.f64 -12195394698618742500000000000/24280089448768304182713669421717 z)) |
(+.f64 55869269815297555000000000000/24280089448768304182713669421717 (*.f64 z -12195394698618742500000000000/24280089448768304182713669421717)) |
(fma.f64 z -12195394698618742500000000000/24280089448768304182713669421717 55869269815297555000000000000/24280089448768304182713669421717) |
(+.f64 (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (-.f64 900000000000000000000000000/59493983178131529437839794393961 (*.f64 (*.f64 z z) 100000000000000000000000000/59493983178131529437839794393961))) 30000000000000/7713234287776531) (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (-.f64 900000000000000000000000000/59493983178131529437839794393961 (*.f64 (*.f64 z z) 100000000000000000000000000/59493983178131529437839794393961))) (*.f64 z 10000000000000/7713234287776531))) |
(*.f64 (/.f64 (fma.f64 z 2500000000000/3147848041806007 (fma.f64 z -10000000000000/7713234287776531 55869269815297555000000000000/24280089448768304182713669421717)) (/.f64 (-.f64 900000000000000000000000000/59493983178131529437839794393961 (*.f64 z (*.f64 z 100000000000000000000000000/59493983178131529437839794393961))) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) (+.f64 30000000000000/7713234287776531 (*.f64 z 10000000000000/7713234287776531))) |
(*.f64 (*.f64 (/.f64 (fma.f64 z -12195394698618742500000000000/24280089448768304182713669421717 55869269815297555000000000000/24280089448768304182713669421717) (+.f64 900000000000000000000000000/59493983178131529437839794393961 (*.f64 (*.f64 z z) -100000000000000000000000000/59493983178131529437839794393961))) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (fma.f64 z 10000000000000/7713234287776531 30000000000000/7713234287776531)) |
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(/.f64 (fma.f64 z -12195394698618742500000000000/24280089448768304182713669421717 55869269815297555000000000000/24280089448768304182713669421717) (*.f64 (/.f64 (fma.f64 z -10000000000000/7713234287776531 30000000000000/7713234287776531) 3147848041806007/2500000000000) (+.f64 z -2))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) 1) (/.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)))) |
(*.f64 (fma.f64 z 2500000000000/3147848041806007 (fma.f64 z -10000000000000/7713234287776531 55869269815297555000000000000/24280089448768304182713669421717)) (*.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 1 (+.f64 (*.f64 z -10000000000000/7713234287776531) 30000000000000/7713234287776531)))) |
(*.f64 (fma.f64 z -12195394698618742500000000000/24280089448768304182713669421717 55869269815297555000000000000/24280089448768304182713669421717) (/.f64 3147848041806007/2500000000000 (*.f64 (+.f64 z -2) (fma.f64 z -10000000000000/7713234287776531 30000000000000/7713234287776531)))) |
(/.f64 (fma.f64 z -12195394698618742500000000000/24280089448768304182713669421717 55869269815297555000000000000/24280089448768304182713669421717) (*.f64 (/.f64 (fma.f64 z -10000000000000/7713234287776531 30000000000000/7713234287776531) 3147848041806007/2500000000000) (+.f64 z -2))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) (pow.f64 (cbrt.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531))) 2)) (/.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) (cbrt.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531))))) |
(*.f64 (fma.f64 z 2500000000000/3147848041806007 (fma.f64 z -10000000000000/7713234287776531 55869269815297555000000000000/24280089448768304182713669421717)) (*.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 1 (+.f64 (*.f64 z -10000000000000/7713234287776531) 30000000000000/7713234287776531)))) |
(*.f64 (fma.f64 z -12195394698618742500000000000/24280089448768304182713669421717 55869269815297555000000000000/24280089448768304182713669421717) (/.f64 3147848041806007/2500000000000 (*.f64 (+.f64 z -2) (fma.f64 z -10000000000000/7713234287776531 30000000000000/7713234287776531)))) |
(/.f64 (fma.f64 z -12195394698618742500000000000/24280089448768304182713669421717 55869269815297555000000000000/24280089448768304182713669421717) (*.f64 (/.f64 (fma.f64 z -10000000000000/7713234287776531 30000000000000/7713234287776531) 3147848041806007/2500000000000) (+.f64 z -2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)))) |
(*.f64 (fma.f64 z 2500000000000/3147848041806007 (fma.f64 z -10000000000000/7713234287776531 55869269815297555000000000000/24280089448768304182713669421717)) (*.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 1 (+.f64 (*.f64 z -10000000000000/7713234287776531) 30000000000000/7713234287776531)))) |
(*.f64 (fma.f64 z -12195394698618742500000000000/24280089448768304182713669421717 55869269815297555000000000000/24280089448768304182713669421717) (/.f64 3147848041806007/2500000000000 (*.f64 (+.f64 z -2) (fma.f64 z -10000000000000/7713234287776531 30000000000000/7713234287776531)))) |
(/.f64 (fma.f64 z -12195394698618742500000000000/24280089448768304182713669421717 55869269815297555000000000000/24280089448768304182713669421717) (*.f64 (/.f64 (fma.f64 z -10000000000000/7713234287776531 30000000000000/7713234287776531) 3147848041806007/2500000000000) (+.f64 z -2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) 2) (sqrt.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)))) (/.f64 (cbrt.f64 (*.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) (sqrt.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531))))) |
(*.f64 (fma.f64 z 2500000000000/3147848041806007 (fma.f64 z -10000000000000/7713234287776531 55869269815297555000000000000/24280089448768304182713669421717)) (*.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 1 (+.f64 (*.f64 z -10000000000000/7713234287776531) 30000000000000/7713234287776531)))) |
(*.f64 (fma.f64 z -12195394698618742500000000000/24280089448768304182713669421717 55869269815297555000000000000/24280089448768304182713669421717) (/.f64 3147848041806007/2500000000000 (*.f64 (+.f64 z -2) (fma.f64 z -10000000000000/7713234287776531 30000000000000/7713234287776531)))) |
(/.f64 (fma.f64 z -12195394698618742500000000000/24280089448768304182713669421717 55869269815297555000000000000/24280089448768304182713669421717) (*.f64 (/.f64 (fma.f64 z -10000000000000/7713234287776531 30000000000000/7713234287776531) 3147848041806007/2500000000000) (+.f64 z -2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) 2) (pow.f64 (cbrt.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531))) 2)) (cbrt.f64 (/.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)) (*.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)) (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)))))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 (fma.f64 z 2500000000000/3147848041806007 (fma.f64 z -10000000000000/7713234287776531 55869269815297555000000000000/24280089448768304182713669421717)) (+.f64 (*.f64 z -10000000000000/7713234287776531) 30000000000000/7713234287776531)) (+.f64 (*.f64 z 2500000000000/3147848041806007) -5000000000000/3147848041806007))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 z 2500000000000/3147848041806007 (fma.f64 z -10000000000000/7713234287776531 55869269815297555000000000000/24280089448768304182713669421717)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) 2) (pow.f64 (cbrt.f64 (+.f64 (*.f64 z -10000000000000/7713234287776531) 30000000000000/7713234287776531)) 2))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 z -12195394698618742500000000000/24280089448768304182713669421717 55869269815297555000000000000/24280089448768304182713669421717) (*.f64 (fma.f64 z -10000000000000/7713234287776531 30000000000000/7713234287776531) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 z -12195394698618742500000000000/24280089448768304182713669421717 55869269815297555000000000000/24280089448768304182713669421717) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) 2) (pow.f64 (cbrt.f64 (fma.f64 z -10000000000000/7713234287776531 30000000000000/7713234287776531)) 2))) |
(pow.f64 (/.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)) (*.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)) (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)))) 1) |
(/.f64 (/.f64 (fma.f64 z 2500000000000/3147848041806007 (fma.f64 z -10000000000000/7713234287776531 55869269815297555000000000000/24280089448768304182713669421717)) (+.f64 (*.f64 z -10000000000000/7713234287776531) 30000000000000/7713234287776531)) (+.f64 (*.f64 z 2500000000000/3147848041806007) -5000000000000/3147848041806007)) |
(/.f64 (fma.f64 z -12195394698618742500000000000/24280089448768304182713669421717 55869269815297555000000000000/24280089448768304182713669421717) (*.f64 (fma.f64 z -10000000000000/7713234287776531 30000000000000/7713234287776531) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)) (*.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)) (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007))))) 2) |
(/.f64 (/.f64 (fma.f64 z 2500000000000/3147848041806007 (fma.f64 z -10000000000000/7713234287776531 55869269815297555000000000000/24280089448768304182713669421717)) (+.f64 (*.f64 z -10000000000000/7713234287776531) 30000000000000/7713234287776531)) (+.f64 (*.f64 z 2500000000000/3147848041806007) -5000000000000/3147848041806007)) |
(/.f64 (fma.f64 z -12195394698618742500000000000/24280089448768304182713669421717 55869269815297555000000000000/24280089448768304182713669421717) (*.f64 (fma.f64 z -10000000000000/7713234287776531 30000000000000/7713234287776531) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)) (*.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)) (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007))))) 3) |
(/.f64 (/.f64 (fma.f64 z 2500000000000/3147848041806007 (fma.f64 z -10000000000000/7713234287776531 55869269815297555000000000000/24280089448768304182713669421717)) (+.f64 (*.f64 z -10000000000000/7713234287776531) 30000000000000/7713234287776531)) (+.f64 (*.f64 z 2500000000000/3147848041806007) -5000000000000/3147848041806007)) |
(/.f64 (fma.f64 z -12195394698618742500000000000/24280089448768304182713669421717 55869269815297555000000000000/24280089448768304182713669421717) (*.f64 (fma.f64 z -10000000000000/7713234287776531 30000000000000/7713234287776531) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))) |
(pow.f64 (pow.f64 (/.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)) (*.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)) (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)))) 3) 1/3) |
(/.f64 (/.f64 (fma.f64 z 2500000000000/3147848041806007 (fma.f64 z -10000000000000/7713234287776531 55869269815297555000000000000/24280089448768304182713669421717)) (+.f64 (*.f64 z -10000000000000/7713234287776531) 30000000000000/7713234287776531)) (+.f64 (*.f64 z 2500000000000/3147848041806007) -5000000000000/3147848041806007)) |
(/.f64 (fma.f64 z -12195394698618742500000000000/24280089448768304182713669421717 55869269815297555000000000000/24280089448768304182713669421717) (*.f64 (fma.f64 z -10000000000000/7713234287776531 30000000000000/7713234287776531) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))) |
(pow.f64 (*.f64 (/.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)) (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717))) (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007))) -1) |
(/.f64 (/.f64 (fma.f64 z 2500000000000/3147848041806007 (fma.f64 z -10000000000000/7713234287776531 55869269815297555000000000000/24280089448768304182713669421717)) (+.f64 (*.f64 z -10000000000000/7713234287776531) 30000000000000/7713234287776531)) (+.f64 (*.f64 z 2500000000000/3147848041806007) -5000000000000/3147848041806007)) |
(/.f64 (fma.f64 z -12195394698618742500000000000/24280089448768304182713669421717 55869269815297555000000000000/24280089448768304182713669421717) (*.f64 (fma.f64 z -10000000000000/7713234287776531 30000000000000/7713234287776531) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))) |
(neg.f64 (/.f64 (*.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (+.f64 -30000000000000/7713234287776531 (*.f64 z 10000000000000/7713234287776531)))) |
(neg.f64 (/.f64 (fma.f64 z 2500000000000/3147848041806007 (fma.f64 z -10000000000000/7713234287776531 55869269815297555000000000000/24280089448768304182713669421717)) (/.f64 (+.f64 (*.f64 z 10000000000000/7713234287776531) -30000000000000/7713234287776531) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))))) |
(/.f64 (neg.f64 (fma.f64 z -12195394698618742500000000000/24280089448768304182713669421717 55869269815297555000000000000/24280089448768304182713669421717)) (*.f64 (/.f64 (fma.f64 z 10000000000000/7713234287776531 -30000000000000/7713234287776531) 3147848041806007/2500000000000) (+.f64 z -2))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)) (*.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)) (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)))) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 z 2500000000000/3147848041806007 (fma.f64 z -10000000000000/7713234287776531 55869269815297555000000000000/24280089448768304182713669421717)) (+.f64 (*.f64 z -10000000000000/7713234287776531) 30000000000000/7713234287776531)) (+.f64 (*.f64 z 2500000000000/3147848041806007) -5000000000000/3147848041806007)) 2)) |
(fabs.f64 (/.f64 (fma.f64 z -12195394698618742500000000000/24280089448768304182713669421717 55869269815297555000000000000/24280089448768304182713669421717) (*.f64 (fma.f64 z -10000000000000/7713234287776531 30000000000000/7713234287776531) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)))) |
(log.f64 (exp.f64 (/.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)) (*.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)) (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)))))) |
(/.f64 (/.f64 (fma.f64 z 2500000000000/3147848041806007 (fma.f64 z -10000000000000/7713234287776531 55869269815297555000000000000/24280089448768304182713669421717)) (+.f64 (*.f64 z -10000000000000/7713234287776531) 30000000000000/7713234287776531)) (+.f64 (*.f64 z 2500000000000/3147848041806007) -5000000000000/3147848041806007)) |
(/.f64 (fma.f64 z -12195394698618742500000000000/24280089448768304182713669421717 55869269815297555000000000000/24280089448768304182713669421717) (*.f64 (fma.f64 z -10000000000000/7713234287776531 30000000000000/7713234287776531) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (*.f64 z 2500000000000/3147848041806007) (+.f64 (*.f64 z -10000000000000/7713234287776531) 55869269815297555000000000000/24280089448768304182713669421717)) (*.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)) (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007))))))) |
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(+.f64 55869269815297555000000000000/24280089448768304182713669421717 (*.f64 z -12195394698618742500000000000/24280089448768304182713669421717)) |
(fma.f64 z -12195394698618742500000000000/24280089448768304182713669421717 55869269815297555000000000000/24280089448768304182713669421717) |
(fma.f64 (sqrt.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531))) (sqrt.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531))) (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007))) |
(+.f64 55869269815297555000000000000/24280089448768304182713669421717 (*.f64 z -12195394698618742500000000000/24280089448768304182713669421717)) |
(fma.f64 z -12195394698618742500000000000/24280089448768304182713669421717 55869269815297555000000000000/24280089448768304182713669421717) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007))) 2) (cbrt.f64 (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007))) (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531))) |
(+.f64 55869269815297555000000000000/24280089448768304182713669421717 (*.f64 z -12195394698618742500000000000/24280089448768304182713669421717)) |
(fma.f64 z -12195394698618742500000000000/24280089448768304182713669421717 55869269815297555000000000000/24280089448768304182713669421717) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531))) 2) (cbrt.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531))) (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007))) |
(+.f64 55869269815297555000000000000/24280089448768304182713669421717 (*.f64 z -12195394698618742500000000000/24280089448768304182713669421717)) |
(fma.f64 z -12195394698618742500000000000/24280089448768304182713669421717 55869269815297555000000000000/24280089448768304182713669421717) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
| ✓ | 0.4b | (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
| ✓ | 0.6b | (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
| ✓ | 1.0b | (sqrt.f64 (*.f64 2 (PI.f64))) |
Compiled 91 to 67 computations (26.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | z | @ | inf | (*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
| 2.0ms | z | @ | 0 | (*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
| 2.0ms | z | @ | -inf | (*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
| 1.0ms | z | @ | -inf | (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
| 1.0ms | z | @ | inf | (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
| 1× | batch-egg-rewrite |
| 1344× | associate-/r/ |
| 560× | associate-/l/ |
| 444× | add-sqr-sqrt |
| 426× | *-un-lft-identity |
| 424× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 170 |
| 1 | 441 | 170 |
| 2 | 5871 | 170 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 2 (PI.f64))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 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| 1× | egg-herbie |
| 1100× | associate-*r* |
| 920× | associate-*l* |
| 906× | associate-/l* |
| 780× | *-commutative |
| 694× | associate-+r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 507 | 11209 |
| 1 | 1488 | 10951 |
| 2 | 7331 | 10939 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64)))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64)))))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (*.f64 (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))) (pow.f64 z 2)))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64))))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))) |
(+.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) |
(+.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64))))) |
(+.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3))))))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64)))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z) (sqrt.f64 (PI.f64))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z) (sqrt.f64 (PI.f64))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z) (sqrt.f64 (PI.f64))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z) (sqrt.f64 (PI.f64))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) z) (sqrt.f64 (PI.f64))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) z) (sqrt.f64 (PI.f64))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) z) (sqrt.f64 (PI.f64))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) z) (sqrt.f64 (PI.f64))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 -1 (*.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 -1 (*.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 15/2) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64)))))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 -1 (*.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 15/2) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 (exp.f64 15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (*.f64 -1/6 (*.f64 (exp.f64 15/2) (sqrt.f64 15/2)))))))) (sqrt.f64 (PI.f64))))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z) (sqrt.f64 (PI.f64)))) |
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(*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1) (/.f64 z (sqrt.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (sqrt.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1) (/.f64 z (pow.f64 (cbrt.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 2))) (cbrt.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1) -1) (neg.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1) (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) 1) (sqrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (sqrt.f64 z)) (sqrt.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 2)) 1) (cbrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 2)) (cbrt.f64 z)) (cbrt.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 2)) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z))) 3) |
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z)) 3) 1/3) |
(pow.f64 (/.f64 z (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) -1) |
(neg.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (neg.f64 z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(sqrt.f64 (/.f64 (*.f64 2 (PI.f64)) (pow.f64 (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 2))) |
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z))))) |
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2) (pow.f64 (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z)))) |
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (exp.f64 (-.f64 15/2 z))))) 1) |
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (/.f64 z (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(/.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(/.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) 1) (/.f64 z (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (exp.f64 15/2)) (exp.f64 z)) |
(/.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(/.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (neg.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (/.f64 (neg.f64 z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) (exp.f64 (-.f64 15/2 z))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(/.f64 (*.f64 (exp.f64 15/2) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (exp.f64 z)) |
(/.f64 (*.f64 (exp.f64 15/2) 1106209385320415913103082059/4200000000000000000000000) (*.f64 (/.f64 z (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 z))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) (exp.f64 15/2)) (*.f64 (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 z))) |
(/.f64 (*.f64 (exp.f64 15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000)) (*.f64 (exp.f64 z) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(pow.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (exp.f64 (-.f64 15/2 z))) 1) |
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (exp.f64 (-.f64 15/2 z)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (exp.f64 (-.f64 15/2 z)))) 3) |
(pow.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (exp.f64 (-.f64 15/2 z))) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (exp.f64 (-.f64 15/2 z))) 2)) |
(log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z)) 1106209385320415913103082059/4200000000000000000000000) (exp.f64 (-.f64 15/2 z)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (exp.f64 (-.f64 15/2 z)))))) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (exp.f64 (-.f64 15/2 z))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 1106209385320415913103082059/4200000000000000000000000)) 3) (pow.f64 (exp.f64 (-.f64 15/2 z)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 15/2 z)) 3) (pow.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 1106209385320415913103082059/4200000000000000000000000)) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (exp.f64 (-.f64 15/2 z))))) |
(exp.f64 (+.f64 (-.f64 15/2 z) (log.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 1106209385320415913103082059/4200000000000000000000000))))) |
(exp.f64 (*.f64 (+.f64 (-.f64 15/2 z) (log.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (exp.f64 (-.f64 15/2 z))))) |
| Outputs |
|---|
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (sqrt.f64 15/2)))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (sqrt.f64 2) (/.f64 z (sqrt.f64 15/2))) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)))))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 15/2)) (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (fma.f64 -1 (log.f64 15/2) -1/15)))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64)))))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (sqrt.f64 2) (/.f64 z (sqrt.f64 15/2))) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)))))) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (sqrt.f64 15/2) z)))) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)) (*.f64 (sqrt.f64 15/2) (*.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) z))))))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (*.f64 (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))) (pow.f64 z 2)))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64))))))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (sqrt.f64 2) (/.f64 z (sqrt.f64 15/2))) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 z z)) (fma.f64 29/225 (fma.f64 -1 (log.f64 15/2) -1/15) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3)))))) (*.f64 (sqrt.f64 2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (sqrt.f64 15/2) z))))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (+.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 15/2)) (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (fma.f64 -1 (log.f64 15/2) -1/15))) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (fma.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 29/225 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3) 86/10125)) (*.f64 (sqrt.f64 15/2) (*.f64 z z))) (*.f64 (sqrt.f64 15/2) (*.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) z))))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (+.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)) (*.f64 (sqrt.f64 15/2) (*.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) z))))) (*.f64 (*.f64 (sqrt.f64 15/2) (fma.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 29/225 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3) 86/10125))) (*.f64 (sqrt.f64 2) (*.f64 z z)))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (sqrt.f64 (PI.f64))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 2) z)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (sqrt.f64 (PI.f64))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 2) z)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (sqrt.f64 (PI.f64))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 2) z)))) |
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(expm1.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (exp.f64 (-.f64 15/2 z))))) |
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))))) |
(exp.f64 (+.f64 (-.f64 15/2 z) (log.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 1106209385320415913103082059/4200000000000000000000000))))) |
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))))) |
(exp.f64 (*.f64 (+.f64 (-.f64 15/2 z) (log.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) 1)) |
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))))) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (exp.f64 (-.f64 15/2 z))))) |
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) |
| 0.1b | (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) | |
| ✓ | 0.3b | (*.f64 (/.f64 1 z) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
| 1.0b | (sqrt.f64 (*.f64 2 (PI.f64))) |
Compiled 122 to 97 computations (20.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (*.f64 (/.f64 1 z) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
| 0.0ms | z | @ | 0 | (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) |
| 0.0ms | z | @ | -inf | (*.f64 (/.f64 1 z) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
| 0.0ms | z | @ | inf | (*.f64 (/.f64 1 z) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
| 0.0ms | z | @ | -inf | (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) |
| 1× | batch-egg-rewrite |
| 570× | add-sqr-sqrt |
| 542× | *-un-lft-identity |
| 540× | pow1 |
| 532× | add-exp-log |
| 532× | add-log-exp |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 112 |
| 1 | 575 | 102 |
| 2 | 7475 | 102 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) (/.f64 z (sqrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) 2) (/.f64 z (cbrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) -1) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) z)) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 z -2) z) (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) 3) (/.f64 (pow.f64 z -2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (+.f64 (-.f64 15/2 z) (log.f64 1106209385320415913103082059/4200000000000000000000000)) (log.f64 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (+.f64 (-.f64 15/2 z) (log.f64 1106209385320415913103082059/4200000000000000000000000)) (log.f64 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (-.f64 15/2 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 2 (PI.f64)) (pow.f64 (-.f64 15/2 z) (*.f64 2 (-.f64 1/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3) (pow.f64 (*.f64 2 (PI.f64)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2) (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))))))) |
| 1× | egg-herbie |
| 1636× | associate-*r/ |
| 1518× | associate-*l/ |
| 1500× | associate-/r* |
| 598× | associate-/r/ |
| 518× | associate-+r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 240 | 5089 |
| 1 | 703 | 4895 |
| 2 | 2946 | 4869 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (*.f64 (sqrt.f64 2) (pow.f64 z 2))) (sqrt.f64 (PI.f64))))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64)))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (sqrt.f64 15/2) (pow.f64 z 2)))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64))))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (*.f64 (pow.f64 z 3) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3))))))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (sqrt.f64 15/2) (pow.f64 z 2)))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64)))))) |
(*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (sqrt.f64 (PI.f64))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))))) 1) |
(/.f64 1 (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))))) |
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) |
(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) |
(/.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))) |
(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) z) |
(/.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) (/.f64 z (sqrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) 2) (/.f64 z (cbrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) |
(/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) -1) (neg.f64 z)) |
(/.f64 (*.f64 -1 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) (neg.f64 z)) |
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) 1) z) |
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (sqrt.f64 z)) (sqrt.f64 z)) |
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) (neg.f64 z)) |
(pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) 1) |
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))))) 3) |
(pow.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) 3) 1/3) |
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) 2)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) z)) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))))))) |
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) 3)) |
(cbrt.f64 (*.f64 (/.f64 (pow.f64 z -2) z) (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) 3) (/.f64 (pow.f64 z -2) z))) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) 3) (pow.f64 z 3))) |
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))))) |
(exp.f64 (+.f64 (+.f64 (-.f64 15/2 z) (log.f64 1106209385320415913103082059/4200000000000000000000000)) (log.f64 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) z)))) |
(exp.f64 (*.f64 (+.f64 (+.f64 (-.f64 15/2 z) (log.f64 1106209385320415913103082059/4200000000000000000000000)) (log.f64 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) z))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))) 1) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) z)) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (-.f64 15/2 z) z)) |
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) 1) |
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))) 3) |
(pow.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) 3) 1/3) |
(sqrt.f64 (*.f64 (*.f64 2 (PI.f64)) (pow.f64 (-.f64 15/2 z) (*.f64 2 (-.f64 1/2 z))))) |
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))))) |
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3) (pow.f64 (*.f64 2 (PI.f64)) 3/2))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2) (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))) |
(exp.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))) |
| Outputs |
|---|
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) |
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(/.f64 (*.f64 (sqrt.f64 (-.f64 15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (-.f64 15/2 z) z)) |
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (-.f64 15/2 z) z) (sqrt.f64 (-.f64 15/2 z)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) z)) (sqrt.f64 (-.f64 15/2 z))) |
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) 1) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) |
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))) 2) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))) 3) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) |
(pow.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) 3) 1/3) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) |
(sqrt.f64 (*.f64 (*.f64 2 (PI.f64)) (pow.f64 (-.f64 15/2 z) (*.f64 2 (-.f64 1/2 z))))) |
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (pow.f64 (-.f64 15/2 z) (*.f64 2 (-.f64 1/2 z)))))) |
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 (pow.f64 (-.f64 15/2 z) (*.f64 2 (-.f64 1/2 z)))))) |
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) |
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) 3)) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3) (pow.f64 (*.f64 2 (PI.f64)) 3/2))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2) (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3) (pow.f64 (*.f64 2 (PI.f64)) 3/2))) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) |
(exp.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))) 1)) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) |
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000) |
| 0.1b | (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) | |
| ✓ | 0.3b | (*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
| ✓ | 1.0b | (sqrt.f64 (PI.f64)) |
Compiled 100 to 81 computations (19% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | inf | (*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
| 1.0ms | z | @ | -inf | (*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
| 1.0ms | z | @ | 0 | (*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
| 0.0ms | z | @ | 0 | (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000) |
| 0.0ms | z | @ | -inf | (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000) |
| 1× | batch-egg-rewrite |
| 1192× | associate-/r* |
| 496× | add-sqr-sqrt |
| 470× | *-un-lft-identity |
| 468× | pow1 |
| 458× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 95 |
| 1 | 509 | 69 |
| 2 | 6304 | 69 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (PI.f64)) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 2))) (sqrt.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (PI.f64) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (PI.f64) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (/.f64 z (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (*.f64 15/2 (*.f64 (PI.f64) 2)) (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (pow.f64 (exp.f64 (+.f64 -15/2 z)) 2)))) (/.f64 z (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (exp.f64 (+.f64 -15/2 z))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) -1) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) 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| 1× | egg-herbie |
| 1280× | distribute-rgt-in |
| 1280× | distribute-lft-in |
| 712× | associate-*r* |
| 620× | associate-/l* |
| 584× | associate-/l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 339 | 5212 |
| 1 | 833 | 5138 |
| 2 | 4736 | 5138 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/8400000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64)))))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 z 2)))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/8400000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64))))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) z)) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 z 2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) z)) (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 z 3))) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 z 2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 z 15/2))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 z 15/2))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 z 15/2))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 z 15/2))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1) |
(*.f64 (sqrt.f64 (PI.f64)) 1) |
(*.f64 1 (sqrt.f64 (PI.f64))) |
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4)) |
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) |
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 2))) (sqrt.f64 (cbrt.f64 (PI.f64)))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2)) |
(pow.f64 (PI.f64) 1/2) |
(pow.f64 (sqrt.f64 (PI.f64)) 1) |
(pow.f64 (pow.f64 (PI.f64) 1/4) 2) |
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3) |
(pow.f64 (pow.f64 (PI.f64) 3/2) 1/3) |
(fabs.f64 (sqrt.f64 (PI.f64))) |
(log.f64 (exp.f64 (sqrt.f64 (PI.f64)))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64))))) |
(cbrt.f64 (pow.f64 (PI.f64) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) |
(exp.f64 (log.f64 (sqrt.f64 (PI.f64)))) |
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1/2)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15))))) 1) |
(/.f64 1 (/.f64 z (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) |
(/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))) |
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) |
(/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) z) |
(/.f64 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15))) 1) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (/.f64 z (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))))) |
(/.f64 (cbrt.f64 (*.f64 (*.f64 15/2 (*.f64 (PI.f64) 2)) (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (pow.f64 (exp.f64 (+.f64 -15/2 z)) 2)))) (/.f64 z (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (exp.f64 (+.f64 -15/2 z))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) |
(/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) -1) (neg.f64 z)) |
(/.f64 (*.f64 -1 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (neg.f64 z)) |
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) 1) z) |
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 z)) (sqrt.f64 z)) |
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) |
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (neg.f64 z)) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) -1) 1) (neg.f64 z)) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) -1) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z))) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) -1) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z))) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) -1) -1) z) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) -1) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z))) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) -1) (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z))) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) -1) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z)) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) -1) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) |
(/.f64 (/.f64 (*.f64 -1 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) 1) (neg.f64 z)) |
(/.f64 (/.f64 (*.f64 -1 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z))) |
(/.f64 (/.f64 (*.f64 -1 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z))) |
(/.f64 (/.f64 (*.f64 -1 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) -1) z) |
(/.f64 (/.f64 (*.f64 -1 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z))) |
(/.f64 (/.f64 (*.f64 -1 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z))) |
(/.f64 (/.f64 (*.f64 -1 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z)) |
(/.f64 (/.f64 (*.f64 -1 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) 1) 1) z) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 z)) 1) (sqrt.f64 z)) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 z)) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z))) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 z)) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2))) (sqrt.f64 (cbrt.f64 z))) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z))) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (pow.f64 (cbrt.f64 z) 2)) 1) (cbrt.f64 z)) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (pow.f64 (cbrt.f64 z) 2)) (sqrt.f64 (cbrt.f64 z))) (sqrt.f64 (cbrt.f64 z))) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (pow.f64 (cbrt.f64 z) 2)) (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z)))) (cbrt.f64 (cbrt.f64 z))) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 (cbrt.f64 z))) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 (sqrt.f64 z))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) 1) (neg.f64 z)) |
(/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) -1) z) |
(/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z)) |
(/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) |
(pow.f64 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15))) 1) |
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15)))) 3) |
(pow.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15))) 3) 1/3) |
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15))) 2)) |
(log.f64 (exp.f64 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15)))))) |
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15))) 3)) |
(cbrt.f64 (*.f64 (/.f64 (pow.f64 z -2) z) (pow.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) 3) (/.f64 (pow.f64 z -2) z))) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) 3) (pow.f64 z 3))) |
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15))))) |
(exp.f64 (log.f64 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) 1) |
(/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) |
(/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) 1) |
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (exp.f64 (+.f64 -15/2 z)))) (sqrt.f64 (exp.f64 (+.f64 -15/2 z)))) |
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (cbrt.f64 (exp.f64 (+.f64 -15/2 z)))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -15/2 z)) 2))) |
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -15/2 z)) 2))) (cbrt.f64 (exp.f64 (+.f64 -15/2 z)))) |
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 13/2)) (exp.f64 (-.f64 1 z))) |
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 1 z))) (exp.f64 13/2)) |
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -1 z))) (exp.f64 -13/2)) |
(pow.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) 1) |
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) 3) |
(pow.f64 (pow.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) 3) 1/3) |
(sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (pow.f64 (exp.f64 (+.f64 -15/2 z)) 2))) |
(log.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (exp.f64 (+.f64 -15/2 z)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) |
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) |
(exp.f64 (+.f64 (+.f64 -15/2 z) (log.f64 1106209385320415913103082059/4200000000000000000000000))) |
(exp.f64 (*.f64 (+.f64 (+.f64 -15/2 z) (log.f64 1106209385320415913103082059/4200000000000000000000000)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) |
| Outputs |
|---|
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) |
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(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (cbrt.f64 (exp.f64 (+.f64 -15/2 z)))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -15/2 z)) 2))) |
(/.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -15/2 z)) 2)) (cbrt.f64 (exp.f64 (+.f64 -15/2 z))))) |
(/.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (cbrt.f64 (exp.f64 (+.f64 -15/2 z))) (cbrt.f64 (exp.f64 (*.f64 2 (+.f64 -15/2 z)))))) |
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -15/2 z)) 2))) (cbrt.f64 (exp.f64 (+.f64 -15/2 z)))) |
(/.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -15/2 z)) 2)) (cbrt.f64 (exp.f64 (+.f64 -15/2 z))))) |
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (cbrt.f64 (exp.f64 (+.f64 -15/2 z)))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -15/2 z)) 2))) |
(/.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (cbrt.f64 (exp.f64 (+.f64 -15/2 z))) (cbrt.f64 (exp.f64 (*.f64 2 (+.f64 -15/2 z)))))) |
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 13/2)) (exp.f64 (-.f64 1 z))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) |
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 1 z))) (exp.f64 13/2)) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) |
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -1 z))) (exp.f64 -13/2)) |
(/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) |
(pow.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) 1) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) |
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) 2) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) |
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) 3) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) |
(pow.f64 (pow.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) 3) 1/3) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) |
(sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (pow.f64 (exp.f64 (+.f64 -15/2 z)) 2))) |
(sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 (*.f64 2 (+.f64 -15/2 z))))) |
(log.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (exp.f64 (+.f64 -15/2 z)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) |
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) 3)) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) |
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) |
(exp.f64 (+.f64 (+.f64 -15/2 z) (log.f64 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) |
(exp.f64 (*.f64 (+.f64 (+.f64 -15/2 z) (log.f64 1106209385320415913103082059/4200000000000000000000000)) 1)) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) |
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
| 1.0b | (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) | |
| ✓ | 1.0b | (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) |
Compiled 284 to 212 computations (25.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | -inf | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
| 0.0ms | z | @ | 0 | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
| 0.0ms | z | @ | inf | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
| 0.0ms | z | @ | 0 | (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) |
| 0.0ms | z | @ | -inf | (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) |
| 1× | batch-egg-rewrite |
| 1006× | add-sqr-sqrt |
| 952× | add-exp-log |
| 952× | add-log-exp |
| 950× | add-cbrt-cube |
| 950× | add-cube-cbrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 172 |
| 1 | 986 | 172 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))))) (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2)))) (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))))) |
| 1× | egg-herbie |
| 1248× | associate-+r+ |
| 1166× | associate-+l+ |
| 716× | +-commutative |
| 700× | associate-*r/ |
| 696× | associate-*l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 231 | 4876 |
| 1 | 741 | 4234 |
| 2 | 3024 | 3952 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) |
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z)) |
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2)))) |
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2)) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (pow.f64 z 3))))) |
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) |
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) |
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) |
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (*.f64 (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (*.f64 (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 3) (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/470400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 -2129255331893733814996830001/19914854400000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 15/2))) (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))))))))) (sqrt.f64 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))))) |
(*.f64 2943194126470171931171/5400000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) (pow.f64 z 2)))) (sqrt.f64 (PI.f64)))) |
(+.f64 (*.f64 39321001939258358983/90000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) z))) (sqrt.f64 (PI.f64)))) (*.f64 2943194126470171931171/5400000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) (pow.f64 z 2)))) (sqrt.f64 (PI.f64))))) |
(+.f64 (*.f64 39321001939258358983/90000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) z))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 7902188421553103227/30000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))) (*.f64 2943194126470171931171/5400000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) (pow.f64 z 2)))) (sqrt.f64 (PI.f64)))))) |
(+.f64 (*.f64 39321001939258358983/90000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) z))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 7902188421553103227/30000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 2943194126470171931171/5400000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) (pow.f64 z 2)))) (sqrt.f64 (PI.f64)))) (*.f64 3464024008321714637421/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64))))))) |
(*.f64 2943194126470171931171/5400000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 (pow.f64 z 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))))) (sqrt.f64 (PI.f64)))) |
(+.f64 (*.f64 2943194126470171931171/5400000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 (pow.f64 z 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))))) (sqrt.f64 (PI.f64)))) (*.f64 39321001939258358983/90000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 z (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))))) (sqrt.f64 (PI.f64))))) |
(+.f64 (*.f64 2943194126470171931171/5400000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 (pow.f64 z 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 39321001939258358983/90000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 z (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))))) (sqrt.f64 (PI.f64)))) (*.f64 7902188421553103227/30000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))))) |
(+.f64 (*.f64 3464024008321714637421/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 2943194126470171931171/5400000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 (pow.f64 z 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 39321001939258358983/90000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 z (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))))) (sqrt.f64 (PI.f64)))) (*.f64 7902188421553103227/30000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64))))))) |
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 1) |
(log.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))) |
(cbrt.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))) |
(exp.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))) |
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))) |
(+.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))))) (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
(+.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2)))) (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))) |
(pow.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) 1) |
(log.f64 (exp.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
(exp.f64 (log.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
| Outputs |
|---|
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) |
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z)) |
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (*.f64 (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)) |
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) z)) |
(*.f64 (+.f64 (*.f64 z (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) |
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(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (+.f64 (fma.f64 z (fma.f64 z 2943194126470171931171/5400000000000000000 39321001939258358983/90000000000000000) 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
(cbrt.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))) (+.f64 7902188421553103227/30000000000000000 (fma.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))) (+.f64 7902188421553103227/30000000000000000 (fma.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))) (+.f64 7902188421553103227/30000000000000000 (fma.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (fma.f64 z (fma.f64 z 2943194126470171931171/5400000000000000000 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))) 3)) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (+.f64 (fma.f64 z (fma.f64 z 2943194126470171931171/5400000000000000000 39321001939258358983/90000000000000000) 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))) (+.f64 7902188421553103227/30000000000000000 (fma.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (fma.f64 z (fma.f64 z 2943194126470171931171/5400000000000000000 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))) |
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (+.f64 (fma.f64 z (fma.f64 z 2943194126470171931171/5400000000000000000 39321001939258358983/90000000000000000) 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(exp.f64 (log.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))) (+.f64 7902188421553103227/30000000000000000 (fma.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (fma.f64 z (fma.f64 z 2943194126470171931171/5400000000000000000 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))) |
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (+.f64 (fma.f64 z (fma.f64 z 2943194126470171931171/5400000000000000000 39321001939258358983/90000000000000000) 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))) (+.f64 7902188421553103227/30000000000000000 (fma.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (fma.f64 z (fma.f64 z 2943194126470171931171/5400000000000000000 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))) |
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (+.f64 (fma.f64 z (fma.f64 z 2943194126470171931171/5400000000000000000 39321001939258358983/90000000000000000) 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
Compiled 50400 to 39301 computations (22% saved)
37 alts after pruning (33 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1005 | 13 | 1018 |
| Fresh | 17 | 20 | 37 |
| Picked | 0 | 1 | 1 |
| Done | 4 | 3 | 7 |
| Total | 1026 | 37 | 1063 |
| Status | Error | Program |
|---|---|---|
| 2.5b | (pow.f64 (cbrt.f64 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15)))) 3) | |
| 1.9b | (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (exp.f64 (+.f64 -15/2 z))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) | |
| 2.1b | (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) | |
| 1.8b | (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15))) | |
| 1.6b | (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))))) z) | |
| 2.0b | (/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))) | |
| 1.8b | (*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 z (sqrt.f64 (PI.f64)))) (sqrt.f64 15)) | |
| 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) | |
| 0.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 (/.f64 (-.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)) (+.f64 5000000000000/3147848041806007 (*.f64 -2500000000000/3147848041806007 z))) (*.f64 2500000000000/3147848041806007 (+.f64 -2 z))) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) | |
| 1.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 (/.f64 (+.f64 55869269815297555000000000000/24280089448768304182713669421717 (*.f64 z -12195394698618742500000000000/24280089448768304182713669421717)) (*.f64 2500000000000/3147848041806007 (+.f64 -2 z))) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) | |
| 1.1b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) | |
| ✓ | 0.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
| ✓ | 1.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
| 1.1b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) | |
| 2.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 -170836605963169966896917941/4200000000000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))) | |
| 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)) -170836605963169966896917941/4200000000000000000000000)))) | |
| 0.9b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 170836605963169966896917941/4200000000000000000000000))))) | |
| ✓ | 0.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))))) |
| 2.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000))) -170836605963169966896917941/4200000000000000000000000)))) | |
| 1.6b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) -11173853963059511/30000000000000) -170836605963169966896917941/4200000000000000000000000)))) | |
| 2.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (+.f64 40269435042492127/90000000000000 (*.f64 z 295755570232608827/540000000000000))))))) | |
| 1.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))) | |
| 1.6b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) | |
| ✓ | 0.9b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
| 1.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) | |
| 0.9b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (*.f64 1 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) | |
| 1.1b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) | |
| 0.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) | |
| 2.3b | (*.f64 (/.f64 1 z) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) 1106209385320415913103082059/4200000000000000000000000))) | |
| 2.3b | (*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (-.f64 z 15/2)) 1106209385320415913103082059/4200000000000000000000000))) | |
| 1.8b | (*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) | |
| 1.5b | (*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 13/2)) (exp.f64 (-.f64 1 z))))) | |
| 1.7b | (*.f64 (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) | |
| 1.7b | (*.f64 (*.f64 (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))) (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) | |
| 1.8b | (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (sqrt.f64 15)))) | |
| 2.0b | (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))))) | |
| 1.6b | (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) |
Compiled 1609 to 1322 computations (17.8% saved)
| Inputs |
|---|
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (sqrt.f64 15)))) |
(*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 z (sqrt.f64 (PI.f64)))) (sqrt.f64 15)) |
(/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15))) |
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (exp.f64 (+.f64 -15/2 z))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))))) |
(/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))) |
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 (-.f64 15/2 z)))) |
(/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) |
(/.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 z (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) z) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) 1106209385320415913103082059/4200000000000000000000000))) |
(/.f64 1 (/.f64 z (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (-.f64 z 15/2)) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (*.f64 2 (-.f64 1/2 z))))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) |
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))))) z) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) z)) (sqrt.f64 (PI.f64))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15)))) 3) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 13/2)) (exp.f64 (-.f64 1 z))))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) |
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(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (*.f64 2500000000000/3147848041806007 (+.f64 -2 z)) 7713234287776531/10000000000000)) (*.f64 2500000000000/3147848041806007 (+.f64 -2 z))) (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 (/.f64 (-.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)) (+.f64 5000000000000/3147848041806007 (*.f64 -2500000000000/3147848041806007 z))) (*.f64 2500000000000/3147848041806007 (+.f64 -2 z))) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 (/.f64 (+.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) (*.f64 (*.f64 2500000000000/3147848041806007 (+.f64 -2 z)) 1)) (*.f64 2500000000000/3147848041806007 (+.f64 -2 z))) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (-.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (sqrt.f64 (pow.f64 (PI.f64) 3))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
| Outputs |
|---|
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 (/.f64 (-.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)) (+.f64 5000000000000/3147848041806007 (*.f64 -2500000000000/3147848041806007 z))) (*.f64 2500000000000/3147848041806007 (+.f64 -2 z))) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
2 calls:
| 81.0ms | z |
| 44.0ms | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))) |
| Error | Segments | Branch |
|---|---|---|
| 0.4b | 1 | z |
| 0.4b | 1 | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))) |
Compiled 3755 to 2867 computations (23.6% saved)
| Inputs |
|---|
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (sqrt.f64 15)))) |
(*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 z (sqrt.f64 (PI.f64)))) (sqrt.f64 15)) |
(/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15))) |
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (exp.f64 (+.f64 -15/2 z))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))))) |
(/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))) |
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 (-.f64 15/2 z)))) |
(/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) |
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(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 4560878540298521/15000000000000)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 (/.f64 (+.f64 55869269815297555000000000000/24280089448768304182713669421717 (*.f64 z -12195394698618742500000000000/24280089448768304182713669421717)) (*.f64 2500000000000/3147848041806007 (+.f64 -2 z))) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (*.f64 2500000000000/3147848041806007 (+.f64 -2 z)) 7713234287776531/10000000000000)) (*.f64 2500000000000/3147848041806007 (+.f64 -2 z))) (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) |
| Outputs |
|---|
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))))) |
1 calls:
| 29.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 0.4b | 1 | z |
Compiled 2648 to 1978 computations (25.3% saved)
| Inputs |
|---|
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (sqrt.f64 15)))) |
(*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 z (sqrt.f64 (PI.f64)))) (sqrt.f64 15)) |
(/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15))) |
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (exp.f64 (+.f64 -15/2 z))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))))) |
(/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))) |
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 (-.f64 15/2 z)))) |
(/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) |
(/.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 z (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) z) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) 1106209385320415913103082059/4200000000000000000000000))) |
(/.f64 1 (/.f64 z (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (-.f64 z 15/2)) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (*.f64 2 (-.f64 1/2 z))))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) |
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))))) z) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) z)) (sqrt.f64 (PI.f64))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15)))) 3) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 13/2)) (exp.f64 (-.f64 1 z))))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) |
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(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 170836605963169966896917941/4200000000000000000000000))))) |
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(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
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(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 4560878540298521/15000000000000)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) |
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(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 (/.f64 (+.f64 55869269815297555000000000000/24280089448768304182713669421717 (*.f64 z -12195394698618742500000000000/24280089448768304182713669421717)) (*.f64 2500000000000/3147848041806007 (+.f64 -2 z))) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
| Outputs |
|---|
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
1 calls:
| 66.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 0.4b | 1 | z |
Compiled 2396 to 1782 computations (25.6% saved)
| Inputs |
|---|
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (sqrt.f64 15)))) |
(*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 z (sqrt.f64 (PI.f64)))) (sqrt.f64 15)) |
(/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15))) |
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (exp.f64 (+.f64 -15/2 z))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))))) |
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(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
| Outputs |
|---|
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
1 calls:
| 68.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 0.9b | 1 | z |
Compiled 2015 to 1493 computations (25.9% saved)
| Inputs |
|---|
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (sqrt.f64 15)))) |
(*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 z (sqrt.f64 (PI.f64)))) (sqrt.f64 15)) |
(/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15))) |
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (exp.f64 (+.f64 -15/2 z))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))))) |
(/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))) |
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 (-.f64 15/2 z)))) |
(/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) |
(/.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 z (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) z) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) 1106209385320415913103082059/4200000000000000000000000))) |
(/.f64 1 (/.f64 z (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (-.f64 z 15/2)) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (*.f64 2 (-.f64 1/2 z))))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) |
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))))) z) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) z)) (sqrt.f64 (PI.f64))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15)))) 3) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 13/2)) (exp.f64 (-.f64 1 z))))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (*.f64 (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))) (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (+.f64 40269435042492127/90000000000000 (*.f64 z 295755570232608827/540000000000000))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) -11173853963059511/30000000000000) -170836605963169966896917941/4200000000000000000000000)))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)) -170836605963169966896917941/4200000000000000000000000)))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 -170836605963169966896917941/4200000000000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))) |
| Outputs |
|---|
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
1 calls:
| 25.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 1.1b | 1 | z |
Compiled 1186 to 884 computations (25.5% saved)
| Inputs |
|---|
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (sqrt.f64 15)))) |
(*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 z (sqrt.f64 (PI.f64)))) (sqrt.f64 15)) |
(/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15))) |
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (exp.f64 (+.f64 -15/2 z))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))))) |
(/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))) |
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 (-.f64 15/2 z)))) |
(/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) |
(/.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 z (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) z) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) 1106209385320415913103082059/4200000000000000000000000))) |
(/.f64 1 (/.f64 z (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (-.f64 z 15/2)) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (*.f64 2 (-.f64 1/2 z))))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) |
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))))) z) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) z)) (sqrt.f64 (PI.f64))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15)))) 3) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 13/2)) (exp.f64 (-.f64 1 z))))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (*.f64 (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))) (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (+.f64 40269435042492127/90000000000000 (*.f64 z 295755570232608827/540000000000000))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) -11173853963059511/30000000000000) -170836605963169966896917941/4200000000000000000000000)))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)) -170836605963169966896917941/4200000000000000000000000)))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
| Outputs |
|---|
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)) -170836605963169966896917941/4200000000000000000000000)))) |
1 calls:
| 21.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 1.4b | 1 | z |
Compiled 1085 to 812 computations (25.2% saved)
| Inputs |
|---|
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (sqrt.f64 15)))) |
(*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 z (sqrt.f64 (PI.f64)))) (sqrt.f64 15)) |
(/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15))) |
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (exp.f64 (+.f64 -15/2 z))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))))) |
(/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))) |
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 (-.f64 15/2 z)))) |
(/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) |
(/.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 z (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) z) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) 1106209385320415913103082059/4200000000000000000000000))) |
(/.f64 1 (/.f64 z (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (-.f64 z 15/2)) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (*.f64 2 (-.f64 1/2 z))))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) |
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))))) z) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) z)) (sqrt.f64 (PI.f64))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15)))) 3) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 13/2)) (exp.f64 (-.f64 1 z))))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (*.f64 (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))) (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (+.f64 40269435042492127/90000000000000 (*.f64 z 295755570232608827/540000000000000))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) -11173853963059511/30000000000000) -170836605963169966896917941/4200000000000000000000000)))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
| Outputs |
|---|
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 13/2)) (exp.f64 (-.f64 1 z))))) |
1 calls:
| 26.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 1.5b | 1 | z |
Compiled 994 to 748 computations (24.7% saved)
| Inputs |
|---|
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (sqrt.f64 15)))) |
(*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 z (sqrt.f64 (PI.f64)))) (sqrt.f64 15)) |
(/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15))) |
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (exp.f64 (+.f64 -15/2 z))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))))) |
(/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))) |
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 (-.f64 15/2 z)))) |
(/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) |
(/.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 z (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) z) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) 1106209385320415913103082059/4200000000000000000000000))) |
(/.f64 1 (/.f64 z (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (-.f64 z 15/2)) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (*.f64 2 (-.f64 1/2 z))))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) |
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))))) z) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) z)) (sqrt.f64 (PI.f64))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15)))) 3) |
| Outputs |
|---|
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
1 calls:
| 14.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 1.5b | 1 | z |
Compiled 642 to 499 computations (22.3% saved)
| Inputs |
|---|
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (sqrt.f64 15)))) |
(*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 z (sqrt.f64 (PI.f64)))) (sqrt.f64 15)) |
(/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15))) |
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (exp.f64 (+.f64 -15/2 z))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))))) |
(/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))) |
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 (-.f64 15/2 z)))) |
(/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) |
(/.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 z (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) z) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) 1106209385320415913103082059/4200000000000000000000000))) |
(/.f64 1 (/.f64 z (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (-.f64 z 15/2)) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (*.f64 2 (-.f64 1/2 z))))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) |
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))))) z) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) z)) (sqrt.f64 (PI.f64))) |
| Outputs |
|---|
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))))) z) |
1 calls:
| 14.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 1.6b | 1 | z |
Compiled 603 to 469 computations (22.2% saved)
| Inputs |
|---|
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (sqrt.f64 15)))) |
(*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 z (sqrt.f64 (PI.f64)))) (sqrt.f64 15)) |
(/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15))) |
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (exp.f64 (+.f64 -15/2 z))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))))) |
(/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))) |
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 (-.f64 15/2 z)))) |
(/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) |
(/.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 z (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) z) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) 1106209385320415913103082059/4200000000000000000000000))) |
(/.f64 1 (/.f64 z (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (-.f64 z 15/2)) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (*.f64 2 (-.f64 1/2 z))))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) |
1 calls:
| 13.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 1.6b | 1 | z |
Compiled 544 to 425 computations (21.9% saved)
| Inputs |
|---|
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (sqrt.f64 15)))) |
(*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 z (sqrt.f64 (PI.f64)))) (sqrt.f64 15)) |
(/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15))) |
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (exp.f64 (+.f64 -15/2 z))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))))) |
(/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))) |
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 (-.f64 15/2 z)))) |
(/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) |
(/.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 z (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) z) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) 1106209385320415913103082059/4200000000000000000000000))) |
(/.f64 1 (/.f64 z (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (-.f64 z 15/2)) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (*.f64 2 (-.f64 1/2 z))))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) |
| Outputs |
|---|
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) |
1 calls:
| 14.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 1.6b | 1 | z |
Compiled 514 to 401 computations (22% saved)
| Inputs |
|---|
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (sqrt.f64 15)))) |
(*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 z (sqrt.f64 (PI.f64)))) (sqrt.f64 15)) |
(/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15))) |
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (exp.f64 (+.f64 -15/2 z))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))))) |
(/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))) |
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 (-.f64 15/2 z)))) |
(/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) |
(/.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 z (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) z) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) 1106209385320415913103082059/4200000000000000000000000))) |
(/.f64 1 (/.f64 z (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (-.f64 z 15/2)) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (*.f64 2 (-.f64 1/2 z))))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
| Outputs |
|---|
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) |
1 calls:
| 11.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 1.8b | 1 | z |
Compiled 484 to 377 computations (22.1% saved)
Total -54.8b remaining (-3073.6%)
Threshold costs -54.8b (-3073.6%)
| Inputs |
|---|
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (sqrt.f64 15)))) |
(*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 z (sqrt.f64 (PI.f64)))) (sqrt.f64 15)) |
(/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15))) |
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)) (exp.f64 (+.f64 -15/2 z))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))))) |
(/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))) |
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 (-.f64 15/2 z)))) |
(/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) |
(/.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 z (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) z) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) 1106209385320415913103082059/4200000000000000000000000))) |
(/.f64 1 (/.f64 z (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (-.f64 z 15/2)) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (*.f64 2 (-.f64 1/2 z))))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 z (sqrt.f64 (PI.f64)))) (sqrt.f64 15)) |
1 calls:
| 13.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 1.8b | 1 | z |
Compiled 425 to 330 computations (22.4% saved)
| 1× | egg-herbie |
| 1100× | distribute-lft-neg-in |
| 1026× | *-commutative |
| 682× | +-commutative |
| 588× | distribute-neg-in |
| 528× | distribute-rgt-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 191 | 1678 |
| 1 | 317 | 1658 |
| 2 | 356 | 1658 |
| 3 | 417 | 1658 |
| 4 | 499 | 1658 |
| 5 | 588 | 1658 |
| 6 | 661 | 1658 |
| 7 | 697 | 1658 |
| 8 | 734 | 1658 |
| 9 | 783 | 1658 |
| 10 | 898 | 1658 |
| 11 | 1100 | 1658 |
| 12 | 1363 | 1658 |
| 13 | 1653 | 1658 |
| 14 | 1920 | 1658 |
| 15 | 2192 | 1658 |
| 16 | 2421 | 1658 |
| 17 | 2604 | 1658 |
| 18 | 2764 | 1658 |
| 19 | 2867 | 1658 |
| 20 | 2995 | 1658 |
| 21 | 3085 | 1658 |
| 22 | 3195 | 1658 |
| 23 | 3361 | 1658 |
| 24 | 3465 | 1658 |
| 25 | 3524 | 1658 |
| 26 | 3549 | 1658 |
| 27 | 3555 | 1658 |
| 28 | 3555 | 1658 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 (/.f64 (-.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)) (+.f64 5000000000000/3147848041806007 (*.f64 -2500000000000/3147848041806007 z))) (*.f64 2500000000000/3147848041806007 (+.f64 -2 z))) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)) -170836605963169966896917941/4200000000000000000000000)))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 13/2)) (exp.f64 (-.f64 1 z))))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))))) z) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) |
(*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 z (sqrt.f64 (PI.f64)))) (sqrt.f64 15)) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (sqrt.f64 15)))) |
| Outputs |
|---|
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 (/.f64 (-.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)) (+.f64 5000000000000/3147848041806007 (*.f64 -2500000000000/3147848041806007 z))) (*.f64 2500000000000/3147848041806007 (+.f64 -2 z))) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 (/.f64 (-.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)) (+.f64 5000000000000/3147848041806007 (*.f64 z -2500000000000/3147848041806007))) (*.f64 2500000000000/3147848041806007 (+.f64 z -2))) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 z -15/2))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 (/.f64 (+.f64 (+.f64 30000000000000/7713234287776531 (*.f64 z -10000000000000/7713234287776531)) (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007))) (*.f64 2500000000000/3147848041806007 (+.f64 z -2))) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 z -15/2))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (+.f64 (+.f64 z -1) -13/2)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) (exp.f64 (+.f64 z -15/2))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (-.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)) -170836605963169966896917941/4200000000000000000000000)))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 z -5154349522119383/22500000000000) -11173853963059511/30000000000000)) -170836605963169966896917941/4200000000000000000000000)))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 z -5154349522119383/22500000000000) -11173853963059511/30000000000000)) -170836605963169966896917941/4200000000000000000000000)))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (+.f64 (+.f64 z -1) -13/2)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 z -5154349522119383/22500000000000) -11173853963059511/30000000000000)) -170836605963169966896917941/4200000000000000000000000)))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 13/2)) (exp.f64 (-.f64 1 z))))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (*.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) 1106209385320415913103082059/4200000000000000000000000))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (*.f64 (exp.f64 (+.f64 (+.f64 z -1) -13/2)) 1106209385320415913103082059/4200000000000000000000000))) |
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))))) z) |
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2))))) z) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2)) (/.f64 (*.f64 (sqrt.f64 2) 1106209385320415913103082059/4200000000000000000000000) z))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2)))))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) |
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) |
(*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 z (sqrt.f64 (PI.f64)))) (sqrt.f64 15)) |
(*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 z -15/2))) (/.f64 z (sqrt.f64 (PI.f64)))) (sqrt.f64 15)) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (sqrt.f64 15)))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 z -15/2))) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (sqrt.f64 15)))) |
Compiled 543 to 454 computations (16.4% saved)
| 15× | egg-herbie |
| 1614× | associate-/r* |
| 1614× | associate-/r* |
| 1614× | associate-/r* |
| 1536× | fma-def |
| 1512× | fma-def |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 311 |
| 1 | 163 | 293 |
| 2 | 616 | 237 |
| 3 | 4046 | 229 |
| 0 | 212 | 3029 |
| 1 | 567 | 2941 |
| 2 | 2335 | 2739 |
| 0 | 64 | 311 |
| 1 | 163 | 293 |
| 2 | 616 | 237 |
| 3 | 4046 | 229 |
| 0 | 300 | 5591 |
| 1 | 830 | 5387 |
| 2 | 3949 | 5193 |
| 0 | 339 | 5212 |
| 1 | 833 | 5138 |
| 2 | 4736 | 5138 |
| 0 | 339 | 5212 |
| 1 | 833 | 5138 |
| 2 | 4736 | 5138 |
| 0 | 64 | 311 |
| 1 | 163 | 293 |
| 2 | 616 | 237 |
| 3 | 4046 | 229 |
| 0 | 227 | 4344 |
| 1 | 679 | 3842 |
| 2 | 2865 | 3502 |
| 0 | 147 | 3412 |
| 1 | 401 | 3136 |
| 2 | 2084 | 2694 |
| 3 | 6662 | 2694 |
| 0 | 309 | 5319 |
| 1 | 865 | 5133 |
| 2 | 3618 | 5121 |
| 0 | 309 | 5319 |
| 1 | 865 | 5133 |
| 2 | 3618 | 5121 |
| 0 | 309 | 5319 |
| 1 | 865 | 5133 |
| 2 | 3618 | 5121 |
| 0 | 227 | 5628 |
| 1 | 675 | 4926 |
| 2 | 3114 | 4054 |
| 3 | 7081 | 4054 |
| 0 | 227 | 4344 |
| 1 | 679 | 3842 |
| 2 | 2865 | 3502 |
| 0 | 166 | 2685 |
| 1 | 465 | 2569 |
| 2 | 1853 | 2321 |
| 3 | 5500 | 2321 |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
Compiled 3444 to 2730 computations (20.7% saved)
Compiled 530 to 407 computations (23.2% saved)
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