Time bar (total: 58.1s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 74.9% | 25.1% | 0 |
| 0% | 74.9% | 25.1% | 1 |
| 0% | 74.9% | 25.1% | 2 |
| 18.7% | 56.2% | 25.1% | 3 |
| 37.5% | 37.5% | 25.1% | 4 |
| 42.1% | 32.8% | 25.1% | 5 |
| 46.8% | 28.1% | 25.1% | 6 |
| 48% | 26.9% | 25.1% | 7 |
| 49.2% | 25.8% | 25.1% | 8 |
| 49.5% | 25.5% | 25.1% | 9 |
| 49.8% | 25.2% | 25.1% | 10 |
| 49.8% | 25.2% | 25.1% | 11 |
| 49.8% | 25.1% | 25.1% | 12 |
Compiled 127 to 112 computations (11.8% saved)
| 50.6s | 3835× | body | 8192 | exit |
| 4.1s | 8083× | body | 64 | valid |
| 191.0ms | 173× | body | 128 | valid |
| 103.0ms | 181× | body | 64 | invalid |
| 2× | egg-herbie |
| 488× | associate-/r*_binary64 |
| 345× | associate-/l*_binary64 |
| 343× | associate-+l+_binary64 |
| 293× | associate-+r+_binary64 |
| 271× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 156 |
| 1 | 160 | 147 |
| 2 | 637 | 119 |
| 3 | 4406 | 115 |
| 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 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.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 (/.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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (+.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 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.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 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.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 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) |
Compiled 124 to 110 computations (11.3% saved)
| 1× | egg-herbie |
| 488× | associate-/r*_binary64 |
| 345× | associate-/l*_binary64 |
| 343× | associate-+l+_binary64 |
| 293× | associate-+r+_binary64 |
| 271× | distribute-rgt-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 156 |
| 1 | 160 | 147 |
| 2 | 637 | 119 |
| 3 | 4406 | 115 |
| 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 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.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 (/.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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (+.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 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.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 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.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 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.5b | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.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 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) |
| 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))))) |
Compiled 596 to 508 computations (14.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.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 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
| ✓ | 1.0b | (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
| ✓ | 1.0b | (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
| ✓ | 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | 0 | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.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 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
| 2.0ms | z | @ | inf | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.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 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
| 2.0ms | z | @ | -inf | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.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 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
| 1.0ms | z | @ | inf | (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
| 1.0ms | z | @ | inf | (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
| 1× | batch-egg-rewrite |
| 648× | add-cbrt-cube_binary64 |
| 648× | add-log-exp_binary64 |
| 647× | add-exp-log_binary64 |
| 647× | log1p-expm1-u_binary64 |
| 647× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 124 |
| 1 | 1336 | 124 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 (PI.f64) 2)) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.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 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))))) (#(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 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 exp.f64 (log.f64 (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 log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x *.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.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 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(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 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.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 expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 7713234287776531/10000000000000 (-.f64 4 z)) (*.f64 (-.f64 3 z) -883075145810703/5000000000000)) (*.f64 (-.f64 3 z) (-.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 3)) (+.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (-.f64 (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 (PI.f64) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 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z)))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 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| 1× | egg-herbie |
| 582× | fma-def_binary64 |
| 473× | cancel-sign-sub-inv_binary64 |
| 464× | fma-neg_binary64 |
| 356× | unsub-neg_binary64 |
| 334× | times-frac_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 161 | 1048 |
| 1 | 477 | 994 |
| 2 | 1596 | 817 |
| 3 | 6666 | 817 |
| 1× | node limit |
| Inputs |
|---|
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)))))) |
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 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 z (-.f64 (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (*.f64 -1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 (pow.f64 z 2) (-.f64 (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 65983161785453494848149496432612687872/108761658163200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/470400000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2))))) (*.f64 -1/6 (*.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))) (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 z (-.f64 (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (*.f64 -1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))) |
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))) |
(+.f64 (*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z)))) |
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(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))) |
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(+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 2)))) (+.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))) (*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))))) |
(+.f64 (*.f64 -398308844029173303716389/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 3)))) (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 2)))) (+.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))) (*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))))) |
| Outputs |
|---|
7713234287776531/30000000000000 |
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000) |
(fma.f64 7713234287776531/90000000000000 z 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 7713234287776531/270000000000000 (*.f64 z z))) |
(fma.f64 7713234287776531/90000000000000 z (fma.f64 7713234287776531/270000000000000 (*.f64 z z) 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 7713234287776531/810000000000000 (pow.f64 z 3)))) |
(+.f64 (fma.f64 7713234287776531/90000000000000 z (fma.f64 7713234287776531/270000000000000 (*.f64 z z) 7713234287776531/30000000000000)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3))) |
(fma.f64 7713234287776531/90000000000000 z (fma.f64 z (*.f64 z 7713234287776531/270000000000000) (fma.f64 7713234287776531/810000000000000 (pow.f64 z 3) 7713234287776531/30000000000000))) |
(/.f64 -7713234287776531/10000000000000 z) |
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(/.f64 -7713234287776531/10000000000000 z) |
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12777243138120953/60000000000000 |
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(+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)) |
(fma.f64 z 53758197989915921/720000000000000 12777243138120953/60000000000000) |
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(fma.f64 z 53758197989915921/720000000000000 (fma.f64 z (*.f64 z 222980468271960011/8640000000000000) 12777243138120953/60000000000000)) |
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(fma.f64 (pow.f64 z 3) 36630596080989161/4147200000000000 (fma.f64 z 53758197989915921/720000000000000 (fma.f64 z (*.f64 z 222980468271960011/8640000000000000) 12777243138120953/60000000000000))) |
(/.f64 -47576671969241/80000000000 z) |
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(/.f64 -47576671969241/80000000000 z) |
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) |
(*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2)) |
(*.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
(+.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))) |
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7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 81 | 7 | 88 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 83 | 7 | 90 |
| Status | Error | Program |
|---|---|---|
| 0.5b | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) | |
| 1.0b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.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 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) | |
| ▶ | 0.4b | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 (PI.f64) z)))) |
| 2.7b | (*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.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 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) | |
| 0.9b | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) | |
| 41.3b | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))) | |
| 1.2b | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 (pow.f64 z 2) (-.f64 (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 65983161785453494848149496432612687872/108761658163200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/470400000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2))))) (*.f64 -1/6 (*.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))) (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 z (-.f64 (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (*.f64 -1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))) |
Compiled 7886 to 6050 computations (23.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (/.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 (PI.f64) z))) |
| 1.0b | (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) | |
| 1.0b | (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) | |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | -inf | (/.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 (PI.f64) z))) |
| 1.0ms | z | @ | inf | (/.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 (PI.f64) z))) |
| 1.0ms | z | @ | 0 | (/.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 (PI.f64) z))) |
| 1× | batch-egg-rewrite |
| 631× | add-cbrt-cube_binary64 |
| 631× | add-log-exp_binary64 |
| 630× | add-exp-log_binary64 |
| 630× | log1p-expm1-u_binary64 |
| 630× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 94 |
| 1 | 1295 | 94 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 (PI.f64) z))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 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3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))) (cbrt.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))))) (cbrt.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 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8 z)))))))))))) (sqrt.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 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z)))))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))) (/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))))))))) |
| 1× | egg-herbie |
| 747× | distribute-rgt-in_binary64 |
| 345× | cancel-sign-sub-inv_binary64 |
| 334× | times-frac_binary64 |
| 333× | fma-def_binary64 |
| 259× | distribute-rgt-out_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 660 |
| 1 | 293 | 634 |
| 2 | 1057 | 463 |
| 3 | 4633 | 377 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 z (-.f64 (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (*.f64 -1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 (pow.f64 z 2) (-.f64 (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 65983161785453494848149496432612687872/108761658163200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/470400000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2))))) (*.f64 -1/6 (*.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))) (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 z (-.f64 (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (*.f64 -1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))) |
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))) |
(+.f64 (*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z)))) |
(+.f64 (*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))) (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 2)))) (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))))) |
(+.f64 (*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))) (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 2)))) (+.f64 (*.f64 -398308844029173303716389/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 3)))) (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z)))))) |
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))) |
(+.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))) (*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))) |
(+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 2)))) (+.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))) (*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))))) |
(+.f64 (*.f64 -398308844029173303716389/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 3)))) (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 2)))) (+.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))) (*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))))) |
| Outputs |
|---|
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
(+.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))) |
(fma.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))) |
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z) (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)) |
(*.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 54901901787731453525296637639/78400000000000000000000000)) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 z (-.f64 (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (*.f64 -1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))) |
(+.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (fma.f64 z (+.f64 (fma.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) 116398943231708128692755172596971/118540800000000000000000000000)) (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
(fma.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z) (*.f64 z (+.f64 (*.f64 (exp.f64 -15/2) 132009770077349838058465866613579/118540800000000000000000000000) (*.f64 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)) 1106209385320415913103082059/25200000000000000000000000))))) |
(fma.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z) (*.f64 z (*.f64 (exp.f64 -15/2) (-.f64 132009770077349838058465866613579/118540800000000000000000000000 (*.f64 -1106209385320415913103082059/25200000000000000000000000 (pow.f64 (PI.f64) 2))))))) |
(+.f64 (*.f64 z (*.f64 (exp.f64 -15/2) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1106209385320415913103082059/25200000000000000000000000) 132009770077349838058465866613579/118540800000000000000000000000))) (*.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 54901901787731453525296637639/78400000000000000000000000))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 (pow.f64 z 2) (-.f64 (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 65983161785453494848149496432612687872/108761658163200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/470400000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2))))) (*.f64 -1/6 (*.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))) (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 z (-.f64 (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (*.f64 -1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))) |
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2) (fma.f64 (*.f64 z z) (+.f64 (fma.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2) (fma.f64 4027292589444183035165374538123333/6638284800000000000000000000000 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) 18100786465164971838668321711699/23708160000000000000000000000))) (*.f64 1/6 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)))) (fma.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2) (fma.f64 z (+.f64 (fma.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) 116398943231708128692755172596971/118540800000000000000000000000)) (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))) |
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7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 85 | 5 | 90 |
| Fresh | 4 | 2 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 90 | 7 | 97 |
| Status | Error | Program |
|---|---|---|
| 0.6b | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 (-.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 (PI.f64) z)))) | |
| 2.7b | (*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 (PI.f64) z)))) | |
| 1.2b | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 (pow.f64 z 2) (-.f64 (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 65983161785453494848149496432612687872/108761658163200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/470400000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2))))) (*.f64 -1/6 (*.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))) (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 z (-.f64 (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (*.f64 -1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))) | |
| 0.9b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 (PI.f64) z)))) | |
| 0.9b | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) | |
| 1.0b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.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 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) | |
| ▶ | 0.4b | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 (PI.f64) z)))) |
Compiled 8056 to 6268 computations (22.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (+.f64 (expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
| 1.0b | (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) | |
| ✓ | 1.0b | (expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
| 0.0ms | z | @ | -inf | (expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
| 0.0ms | z | @ | inf | (expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
| 0.0ms | z | @ | -inf | (+.f64 (expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
| 0.0ms | z | @ | inf | (+.f64 (expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
| 1× | batch-egg-rewrite |
| 573× | log-prod_binary64 |
| 386× | fma-def_binary64 |
| 359× | pow2_binary64 |
| 251× | expm1-udef_binary64 |
| 251× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 23 |
| 1 | 289 | 23 |
| 2 | 3961 | 23 |
| 1× | node limit |
| Inputs |
|---|
(expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
(+.f64 (expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 455× | distribute-neg-frac_binary64 |
| 451× | associate-/l*_binary64 |
| 381× | sub-neg_binary64 |
| 344× | fma-neg_binary64 |
| 330× | *-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 388 |
| 1 | 204 | 360 |
| 2 | 572 | 354 |
| 3 | 1835 | 354 |
| 4 | 4751 | 354 |
| 5 | 7726 | 354 |
| 1× | node limit |
| Inputs |
|---|
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)))))) |
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))))))) |
| Outputs |
|---|
7713234287776531/30000000000000 |
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000) |
(fma.f64 7713234287776531/90000000000000 z 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 7713234287776531/270000000000000 (*.f64 z z))) |
(fma.f64 7713234287776531/90000000000000 z (fma.f64 7713234287776531/270000000000000 (*.f64 z z) 7713234287776531/30000000000000)) |
(fma.f64 z (*.f64 z 7713234287776531/270000000000000) (fma.f64 7713234287776531/90000000000000 z 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 7713234287776531/810000000000000 (pow.f64 z 3)))) |
(+.f64 (fma.f64 7713234287776531/810000000000000 (pow.f64 z 3) (*.f64 z (*.f64 z 7713234287776531/270000000000000))) (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000)) |
(fma.f64 7713234287776531/90000000000000 z (fma.f64 z (*.f64 z 7713234287776531/270000000000000) (fma.f64 7713234287776531/810000000000000 (pow.f64 z 3) 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)) |
(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 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.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 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3))) (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)))) |
(+.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3))) (+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z 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)) |
(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 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.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 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3))) (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)))) |
(+.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3))) (+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)))) |
12777243138120953/60000000000000 |
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z)) |
(+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)) |
(fma.f64 z 53758197989915921/720000000000000 12777243138120953/60000000000000) |
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z))) |
(+.f64 12777243138120953/60000000000000 (fma.f64 222980468271960011/8640000000000000 (*.f64 z z) (*.f64 z 53758197989915921/720000000000000))) |
(+.f64 12777243138120953/60000000000000 (fma.f64 (*.f64 z z) 222980468271960011/8640000000000000 (*.f64 z 53758197989915921/720000000000000))) |
(fma.f64 z (*.f64 z 222980468271960011/8640000000000000) (fma.f64 z 53758197989915921/720000000000000 12777243138120953/60000000000000)) |
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 36630596080989161/4147200000000000 (pow.f64 z 3)) (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z)))) |
(+.f64 12777243138120953/60000000000000 (fma.f64 36630596080989161/4147200000000000 (pow.f64 z 3) (fma.f64 222980468271960011/8640000000000000 (*.f64 z z) (*.f64 z 53758197989915921/720000000000000)))) |
(+.f64 12777243138120953/60000000000000 (fma.f64 (pow.f64 z 3) 36630596080989161/4147200000000000 (fma.f64 (*.f64 z z) 222980468271960011/8640000000000000 (*.f64 z 53758197989915921/720000000000000)))) |
(fma.f64 (pow.f64 z 3) 36630596080989161/4147200000000000 (fma.f64 z (*.f64 z 222980468271960011/8640000000000000) (fma.f64 z 53758197989915921/720000000000000 12777243138120953/60000000000000))) |
(/.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 z z)) (/.f64 47576671969241/80000000000 z))) |
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (/.f64 -47576671969241/80000000000 z)) |
(-.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 (/.f64 16075101696843969/10000000000000 z) z)) |
(+.f64 (/.f64 (/.f64 -16075101696843969/10000000000000 z) z) (/.f64 -47576671969241/80000000000 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 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))))) |
(-.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)))) |
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3)))) |
(+.f64 (/.f64 (/.f64 -16075101696843969/10000000000000 z) z) (+.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 -41160703924046283/10000000000000 (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))))))) |
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4))))) |
(-.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4))))) |
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3))) (/.f64 -95223707106196353/10000000000000 (pow.f64 z 4)))) |
(+.f64 (/.f64 -47576671969241/80000000000 z) (+.f64 (/.f64 (/.f64 -16075101696843969/10000000000000 z) z) (+.f64 (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3)) (/.f64 -95223707106196353/10000000000000 (pow.f64 z 4))))) |
(+.f64 (/.f64 (/.f64 -16075101696843969/10000000000000 z) z) (-.f64 (/.f64 -47576671969241/80000000000 z) (-.f64 (/.f64 95223707106196353/10000000000000 (pow.f64 z 4)) (/.f64 -41160703924046283/10000000000000 (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 z z)) (/.f64 47576671969241/80000000000 z))) |
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (/.f64 -47576671969241/80000000000 z)) |
(-.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 (/.f64 16075101696843969/10000000000000 z) z)) |
(+.f64 (/.f64 (/.f64 -16075101696843969/10000000000000 z) z) (/.f64 -47576671969241/80000000000 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 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))))) |
(-.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)))) |
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3)))) |
(+.f64 (/.f64 (/.f64 -16075101696843969/10000000000000 z) z) (+.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 -41160703924046283/10000000000000 (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))))))) |
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4))))) |
(-.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4))))) |
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3))) (/.f64 -95223707106196353/10000000000000 (pow.f64 z 4)))) |
(+.f64 (/.f64 -47576671969241/80000000000 z) (+.f64 (/.f64 (/.f64 -16075101696843969/10000000000000 z) z) (+.f64 (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3)) (/.f64 -95223707106196353/10000000000000 (pow.f64 z 4))))) |
(+.f64 (/.f64 (/.f64 -16075101696843969/10000000000000 z) z) (-.f64 (/.f64 -47576671969241/80000000000 z) (-.f64 (/.f64 95223707106196353/10000000000000 (pow.f64 z 4)) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3))))) |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 182 | 2 | 184 |
| Fresh | 1 | 5 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 184 | 7 | 191 |
| Status | Error | Program |
|---|---|---|
| 0.9b | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) | |
| 0.6b | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 (fma.f64 7713234287776531/10000000000000 (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000)) (-.f64 3 z)) (*.f64 (-.f64 3 z) (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 (PI.f64) z)))) | |
| ▶ | 0.4b | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)) -1) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 (PI.f64) z)))) |
| 2.7b | (*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 (PI.f64) z)))) | |
| 1.2b | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 (pow.f64 z 2) (-.f64 (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 65983161785453494848149496432612687872/108761658163200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/470400000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2))))) (*.f64 -1/6 (*.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))) (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 z (-.f64 (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (*.f64 -1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))) | |
| 0.9b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 (PI.f64) z)))) | |
| 1.0b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.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 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) |
Compiled 16217 to 12708 computations (21.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)) -1) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
| 1.0b | (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) | |
| ✓ | 1.0b | (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | 0 | (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)) -1) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
| 2.0ms | z | @ | 0 | (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)) |
| 1.0ms | z | @ | inf | (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)) -1) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
| 1.0ms | z | @ | -inf | (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)) -1) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
| 1.0ms | z | @ | inf | (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)) |
| 1× | batch-egg-rewrite |
| 924× | prod-diff_binary64 |
| 323× | log1p-udef_binary64 |
| 322× | expm1-udef_binary64 |
| 263× | fma-neg_binary64 |
| 196× | add-sqr-sqrt_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 34 |
| 1 | 406 | 31 |
| 2 | 5075 | 28 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)) |
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)) -1) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (/.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 1)))) (#(struct:change 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2)) (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)))) (neg.f64 (+.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)))) (neg.f64 (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2))) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 1)))) 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3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -883075145810703/5000000000000 (/.f64 1 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 2) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (sqrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))))) |
| 1× | egg-herbie |
| 510× | fma-def_binary64 |
| 393× | fma-neg_binary64 |
| 358× | associate-*r*_binary64 |
| 357× | associate-*l*_binary64 |
| 306× | associate-+l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 134 | 884 |
| 1 | 403 | 856 |
| 2 | 1287 | 803 |
| 3 | 5971 | 770 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 7743234287776531/30000000000000) |
(+.f64 (cbrt.f64 7743234287776531/30000000000000) (*.f64 7713234287776531/270000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 7743234287776531/30000000000000) 2)) 1/3) z))) |
(+.f64 (cbrt.f64 7743234287776531/30000000000000) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 7713234287776531/270000000000000 (*.f64 59493983178131529437839794393961/24300000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 7743234287776531/30000000000000)) 1/3))) (pow.f64 z 2)) (pow.f64 (cbrt.f64 7743234287776531/30000000000000) 2))) (*.f64 7713234287776531/270000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 7743234287776531/30000000000000) 2)) 1/3) z)))) |
(+.f64 (cbrt.f64 7743234287776531/30000000000000) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 7713234287776531/270000000000000 (*.f64 59493983178131529437839794393961/24300000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 7743234287776531/30000000000000)) 1/3))) (pow.f64 z 2)) (pow.f64 (cbrt.f64 7743234287776531/30000000000000) 2))) (+.f64 (*.f64 7713234287776531/270000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 7743234287776531/30000000000000) 2)) 1/3) z)) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 z 3) (-.f64 7713234287776531/810000000000000 (+.f64 (*.f64 458891030965964263706993392018425544321343929291/19683000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 7743234287776531/30000000000000) 2))) (*.f64 7713234287776531/135000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 7743234287776531/30000000000000) 5)) 1/3) (-.f64 7713234287776531/270000000000000 (*.f64 59493983178131529437839794393961/24300000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 7743234287776531/30000000000000)) 1/3)))))))) (pow.f64 (cbrt.f64 7743234287776531/30000000000000) 2)))))) |
1 |
(-.f64 1 (*.f64 7713234287776531/30000000000000 (/.f64 1 z))) |
(-.f64 1 (+.f64 (*.f64 60188174264031417227839794393961/900000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/30000000000000 (/.f64 1 z)))) |
(-.f64 1 (+.f64 (*.f64 60188174264031417227839794393961/900000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 7713234287776531/30000000000000 (/.f64 1 z)) (*.f64 465353867467841062826940089812973332321343929291/16200000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3)))))) |
1 |
(-.f64 1 (*.f64 7713234287776531/30000000000000 (/.f64 1 z))) |
(-.f64 1 (+.f64 (*.f64 60188174264031417227839794393961/900000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/30000000000000 (/.f64 1 z)))) |
(-.f64 1 (+.f64 (*.f64 60188174264031417227839794393961/900000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 7713234287776531/30000000000000 (/.f64 1 z)) (*.f64 465353867467841062826940089812973332321343929291/16200000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3)))))) |
12777243138120953/60000000000000 |
(+.f64 12777243138120953/60000000000000 (*.f64 z (-.f64 (+.f64 (*.f64 7713234287776531/135000000000000 (pow.f64 (pow.f64 (cbrt.f64 7743234287776531/30000000000000) 4) 1/3)) (*.f64 7713234287776531/270000000000000 (pow.f64 (pow.f64 (cbrt.f64 7743234287776531/30000000000000) 4) 1/3))) 883075145810703/80000000000000))) |
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 z (-.f64 (+.f64 (*.f64 7713234287776531/135000000000000 (pow.f64 (pow.f64 (cbrt.f64 7743234287776531/30000000000000) 4) 1/3)) (*.f64 7713234287776531/270000000000000 (pow.f64 (pow.f64 (cbrt.f64 7743234287776531/30000000000000) 4) 1/3))) 883075145810703/80000000000000)) (*.f64 (pow.f64 z 2) (-.f64 (+.f64 (*.f64 1/3 (-.f64 7713234287776531/270000000000000 (*.f64 59493983178131529437839794393961/24300000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 7743234287776531/30000000000000)) 1/3)))) (+.f64 (*.f64 59493983178131529437839794393961/36450000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 7743234287776531/30000000000000)) 1/3)) (*.f64 (cbrt.f64 7743234287776531/30000000000000) (+.f64 (*.f64 59493983178131529437839794393961/72900000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 7743234287776531/30000000000000) 4)) 1/3)) (*.f64 2/3 (/.f64 (-.f64 7713234287776531/270000000000000 (*.f64 59493983178131529437839794393961/24300000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 7743234287776531/30000000000000)) 1/3))) (cbrt.f64 7743234287776531/30000000000000))))))) 883075145810703/320000000000000)))) |
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (-.f64 7713234287776531/810000000000000 (+.f64 (*.f64 458891030965964263706993392018425544321343929291/19683000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 7743234287776531/30000000000000) 2))) (*.f64 7713234287776531/135000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 7743234287776531/30000000000000) 5)) 1/3) (-.f64 7713234287776531/270000000000000 (*.f64 59493983178131529437839794393961/24300000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 7743234287776531/30000000000000)) 1/3)))))))) (+.f64 (*.f64 7713234287776531/270000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 7743234287776531/30000000000000) 2)) 1/3) (+.f64 (*.f64 59493983178131529437839794393961/72900000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 7743234287776531/30000000000000) 4)) 1/3)) (*.f64 2/3 (/.f64 (-.f64 7713234287776531/270000000000000 (*.f64 59493983178131529437839794393961/24300000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 7743234287776531/30000000000000)) 1/3))) (cbrt.f64 7743234287776531/30000000000000)))))) (+.f64 (*.f64 (cbrt.f64 7743234287776531/30000000000000) (+.f64 (*.f64 7713234287776531/405000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 7743234287776531/30000000000000) 8)) 1/3) (-.f64 7713234287776531/270000000000000 (*.f64 59493983178131529437839794393961/24300000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 7743234287776531/30000000000000)) 1/3))))) (*.f64 2/3 (/.f64 (-.f64 7713234287776531/810000000000000 (+.f64 (*.f64 458891030965964263706993392018425544321343929291/19683000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 7743234287776531/30000000000000) 2))) (*.f64 7713234287776531/135000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 7743234287776531/30000000000000) 5)) 1/3) (-.f64 7713234287776531/270000000000000 (*.f64 59493983178131529437839794393961/24300000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 7743234287776531/30000000000000)) 1/3))))))) (cbrt.f64 7743234287776531/30000000000000))))) (*.f64 7713234287776531/405000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 7743234287776531/30000000000000) 5)) 1/3) (-.f64 7713234287776531/270000000000000 (*.f64 59493983178131529437839794393961/24300000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 7743234287776531/30000000000000)) 1/3)))))))) 883075145810703/1280000000000000) (pow.f64 z 3)) (+.f64 (*.f64 z (-.f64 (+.f64 (*.f64 7713234287776531/135000000000000 (pow.f64 (pow.f64 (cbrt.f64 7743234287776531/30000000000000) 4) 1/3)) (*.f64 7713234287776531/270000000000000 (pow.f64 (pow.f64 (cbrt.f64 7743234287776531/30000000000000) 4) 1/3))) 883075145810703/80000000000000)) (*.f64 (pow.f64 z 2) (-.f64 (+.f64 (*.f64 1/3 (-.f64 7713234287776531/270000000000000 (*.f64 59493983178131529437839794393961/24300000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 7743234287776531/30000000000000)) 1/3)))) (+.f64 (*.f64 59493983178131529437839794393961/36450000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 7743234287776531/30000000000000)) 1/3)) (*.f64 (cbrt.f64 7743234287776531/30000000000000) (+.f64 (*.f64 59493983178131529437839794393961/72900000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 7743234287776531/30000000000000) 4)) 1/3)) (*.f64 2/3 (/.f64 (-.f64 7713234287776531/270000000000000 (*.f64 59493983178131529437839794393961/24300000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 7743234287776531/30000000000000)) 1/3))) (cbrt.f64 7743234287776531/30000000000000))))))) 883075145810703/320000000000000))))) |
(/.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 84297121636446787584/20480000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 47576671969241/80000000000 (/.f64 1 z))))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 84297121636446787584/20480000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 47576671969241/80000000000 (/.f64 1 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 84297121636446787584/20480000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 47576671969241/80000000000 (/.f64 1 z))))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 84297121636446787584/20480000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))))) |
| Outputs |
|---|
(cbrt.f64 7743234287776531/30000000000000) |
(+.f64 (cbrt.f64 7743234287776531/30000000000000) (*.f64 7713234287776531/270000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 7743234287776531/30000000000000) 2)) 1/3) z))) |
(+.f64 (cbrt.f64 7743234287776531/30000000000000) (*.f64 7713234287776531/270000000000000 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 7743234287776531/30000000000000) 2))) z))) |
(fma.f64 7713234287776531/270000000000000 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 7743234287776531/30000000000000) 2))) z) (cbrt.f64 7743234287776531/30000000000000)) |
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 7743234287776531/30000000000000) 2))) (*.f64 7713234287776531/270000000000000 z) (cbrt.f64 7743234287776531/30000000000000)) |
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(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 84297121636446787584/20480000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 47576671969241/80000000000 (/.f64 1 z))))) |
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))))) |
(-.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)))) |
(+.f64 (/.f64 (/.f64 -16075101696843969/10000000000000 z) z) (+.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3)))) |
(-.f64 (/.f64 (/.f64 -16075101696843969/10000000000000 z) z) (-.f64 (/.f64 47576671969241/80000000000 z) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3)))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 84297121636446787584/20480000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4))))) |
(-.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (+.f64 (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4))))) |
(-.f64 (+.f64 (/.f64 (/.f64 -16075101696843969/10000000000000 z) z) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3))) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4)))) |
(+.f64 (-.f64 (/.f64 (/.f64 -16075101696843969/10000000000000 z) z) (-.f64 (/.f64 47576671969241/80000000000 z) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3)))) (/.f64 -95223707106196353/10000000000000 (pow.f64 z 4))) |
(/.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 z z)) (/.f64 47576671969241/80000000000 z))) |
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (/.f64 -47576671969241/80000000000 z)) |
(+.f64 (/.f64 (/.f64 -16075101696843969/10000000000000 z) z) (/.f64 -47576671969241/80000000000 z)) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 84297121636446787584/20480000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 47576671969241/80000000000 (/.f64 1 z))))) |
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))))) |
(-.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)))) |
(+.f64 (/.f64 (/.f64 -16075101696843969/10000000000000 z) z) (+.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3)))) |
(-.f64 (/.f64 (/.f64 -16075101696843969/10000000000000 z) z) (-.f64 (/.f64 47576671969241/80000000000 z) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3)))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 84297121636446787584/20480000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4))))) |
(-.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (+.f64 (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4))))) |
(-.f64 (+.f64 (/.f64 (/.f64 -16075101696843969/10000000000000 z) z) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3))) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4)))) |
(+.f64 (-.f64 (/.f64 (/.f64 -16075101696843969/10000000000000 z) z) (-.f64 (/.f64 47576671969241/80000000000 z) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3)))) (/.f64 -95223707106196353/10000000000000 (pow.f64 z 4))) |
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 186 | 1 | 187 |
| Fresh | 1 | 5 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 188 | 6 | 194 |
| Status | Error | Program |
|---|---|---|
| 0.9b | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) | |
| 0.6b | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 (fma.f64 7713234287776531/10000000000000 (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000)) (-.f64 3 z)) (*.f64 (-.f64 3 z) (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 (PI.f64) z)))) | |
| 0.4b | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (fma.f64 (pow.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 2))) 2) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)) -1) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 (PI.f64) z)))) | |
| 1.0b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.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 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) | |
| 1.2b | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 (pow.f64 z 2) (-.f64 (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 65983161785453494848149496432612687872/108761658163200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/470400000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2))))) (*.f64 -1/6 (*.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))) (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 z (-.f64 (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (*.f64 -1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))) | |
| 0.9b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 (PI.f64) z)))) |
Compiled 18427 to 14862 computations (19.3% saved)
Total -42.0b remaining (-10100.9%)
Threshold costs -42.0b (-10100.9%)
| Inputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (fma.f64 (pow.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 2))) 2) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)) -1) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (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 (PI.f64) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 (fma.f64 7713234287776531/10000000000000 (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000)) (-.f64 3 z)) (*.f64 (-.f64 3 z) (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (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 (PI.f64) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)) -1) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (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 (PI.f64) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 (-.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 (PI.f64) z)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (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 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 (pow.f64 z 2) (-.f64 (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 65983161785453494848149496432612687872/108761658163200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/470400000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2))))) (*.f64 -1/6 (*.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))) (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 z (-.f64 (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (*.f64 -1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (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 (PI.f64) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.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 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 (PI.f64) z)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.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 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 (pow.f64 z 2) (-.f64 (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 65983161785453494848149496432612687872/108761658163200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/470400000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2))))) (*.f64 -1/6 (*.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))) (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 z (-.f64 (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (*.f64 -1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.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 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 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))))) |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 (PI.f64) z)))) |
| 8.0ms | 0.4b | z |
| 12.0ms | 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 (-.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 1740 to 1403 computations (19.4% saved)
| 1× | egg-herbie |
| 20× | +-commutative_binary64 |
| 11× | sub-neg_binary64 |
| 7× | *-commutative_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 119 |
| 1 | 91 | 119 |
| 2 | 104 | 119 |
| 3 | 106 | 119 |
| 4 | 107 | 119 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 (PI.f64) z)))) |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 (PI.f64) z)))) |
| 1× | fuel |
Compiled 154 to 126 computations (18.2% saved)
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