Time bar (total: 1.6min)
| 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 |
| 49.9% | 25% | 25.1% | 13 |
| 49.9% | 25% | 25.1% | 14 |
Compiled 127 to 112 computations (11.8% saved)
| 1.4min | 4205× | body | 8192 | exit |
| 5.9s | 8256× | body | 128 | valid |
| 81.0ms | 99× | body | 128 | invalid |
Compiled 254 to 224 computations (11.8% saved)
| 2× | egg-herbie |
| 343× | associate-+l+_binary64 |
| 293× | associate-+r+_binary64 |
| 271× | distribute-rgt-in_binary64 |
| 266× | distribute-lft-in_binary64 |
| 222× | associate-*r*_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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 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))))))))) |
Compiled 124 to 110 computations (11.3% saved)
| 1× | egg-herbie |
| 343× | associate-+l+_binary64 |
| 293× | associate-+r+_binary64 |
| 271× | distribute-rgt-in_binary64 |
| 266× | distribute-lft-in_binary64 |
| 222× | associate-*r*_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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 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))))))))) |
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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 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))))))))) |
| 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 |
|---|---|---|
| ✓ | 1.0b | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.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)))))))) |
| ✓ | 1.0b | (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
| ✓ | 1.0b | (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
| ✓ | 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | z | @ | 0 | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 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)))))))) |
| 7.0ms | z | @ | inf | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 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)))))))) |
| 6.0ms | z | @ | -inf | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 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)))))))) |
| 5.0ms | z | @ | 0 | (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
| 5.0ms | z | @ | inf | (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
| 1× | batch-egg-rewrite |
| 667× | add-log-exp_binary64 |
| 666× | log1p-expm1-u_binary64 |
| 666× | expm1-log1p-u_binary64 |
| 660× | pow1_binary64 |
| 54× | add-cbrt-cube_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 143 |
| 1 | 1373 | 143 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 (PI.f64) 2)) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.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)))))))) |
| 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 log1p.f64 (expm1.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 *.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 log1p.f64 (expm1.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 *.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1 (exp.f64 (-.f64 15/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (cbrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))) (cbrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (sqrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))))))) |
| 1× | egg-herbie |
| 885× | fma-def_binary64 |
| 346× | times-frac_binary64 |
| 213× | cancel-sign-sub-inv_binary64 |
| 193× | associate-*r*_binary64 |
| 150× | *-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 208 | 1933 |
| 1 | 664 | 1895 |
| 2 | 2510 | 1731 |
| 1× | node limit |
| Inputs |
|---|
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 222980468271960011/8640000000000000 (pow.f64 z 2)) (+.f64 (*.f64 53758197989915921/720000000000000 z) (*.f64 36630596080989161/4147200000000000 (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 41160703924046283/10000000000000 (/.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 41160703924046283/10000000000000 (/.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 41160703924046283/10000000000000 (/.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 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))))) |
(/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) |
(-.f64 (+.f64 (*.f64 14/15 (/.f64 (*.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2))) |
(-.f64 (+.f64 (*.f64 14/15 (/.f64 (*.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2))) (exp.f64 15/2))) (+.f64 (*.f64 127/225 (/.f64 (*.f64 (pow.f64 z 2) (sqrt.f64 15/2)) (exp.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))) (+.f64 (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)) (*.f64 14/15 (/.f64 (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2))) (exp.f64 15/2))))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2))) (exp.f64 15/2))) (+.f64 (*.f64 892/3375 (/.f64 (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)) (exp.f64 15/2))) (+.f64 (*.f64 14/15 (/.f64 (*.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (+.f64 (*.f64 127/225 (/.f64 (*.f64 (pow.f64 z 2) (sqrt.f64 15/2)) (exp.f64 15/2))) (+.f64 (*.f64 7/15 (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2))) (exp.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (+.f64 (*.f64 14/15 (/.f64 (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2))) (exp.f64 15/2))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 3) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2))) (exp.f64 15/2))) (+.f64 (*.f64 127/225 (/.f64 (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2))) (exp.f64 15/2))) (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)))) |
(-.f64 (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2)))) (exp.f64 15/2))))) |
(-.f64 (+.f64 (*.f64 3264229102083425005530891465931403/2963520000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2))) (exp.f64 15/2)))) (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2)))) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))))))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2)))) (exp.f64 15/2)))) (+.f64 (*.f64 1479421971200822750497987168891/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (log.f64 15/2) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2)))) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2)))) (exp.f64 15/2))))))) |
(-.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)))) (+.f64 (*.f64 395971232097753800969862781701012907/276595200000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2))) (exp.f64 15/2)))) (+.f64 (*.f64 2408637854869972117504576098451/7056000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)))) (exp.f64 15/2)))) (+.f64 (*.f64 3264229102083425005530891465931403/2963520000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2))) (exp.f64 15/2)))) (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/8400000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2)))) (exp.f64 15/2))))))))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2)))) (exp.f64 15/2)))) (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 3) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)))) (exp.f64 15/2)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2)))) (exp.f64 15/2)))) (+.f64 (*.f64 1479421971200822750497987168891/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (log.f64 15/2) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2)))) (exp.f64 15/2)))) (+.f64 (*.f64 2873958430942382271388124115516203/2963520000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)))) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/8400000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (log.f64 15/2) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)))) (exp.f64 15/2)))))))))) |
(*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z))))) |
(-.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z))))) (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) z))))) |
(-.f64 (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 z 2))))) (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z)))))) (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) z))))) |
(-.f64 (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 z 2))))) (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z)))))) (+.f64 (*.f64 398308844029173303716389/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 z 3))))) (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) z)))))) |
(*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z))))) |
(-.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z))))) (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) z))))) |
(-.f64 (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 z 2))))) (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z)))))) (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) z))))) |
(-.f64 (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 z 2))))) (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z)))))) (+.f64 (*.f64 398308844029173303716389/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 z 3))))) (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) z)))))) |
| Outputs |
|---|
12777243138120953/60000000000000 |
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z)) |
(fma.f64 53758197989915921/720000000000000 z 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 53758197989915921/720000000000000 z))) |
(+.f64 (*.f64 222980468271960011/8640000000000000 (*.f64 z z)) (fma.f64 53758197989915921/720000000000000 z 12777243138120953/60000000000000)) |
(fma.f64 z (*.f64 z 222980468271960011/8640000000000000) (fma.f64 53758197989915921/720000000000000 z 12777243138120953/60000000000000)) |
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (+.f64 (*.f64 53758197989915921/720000000000000 z) (*.f64 36630596080989161/4147200000000000 (pow.f64 z 3))))) |
(+.f64 12777243138120953/60000000000000 (fma.f64 222980468271960011/8640000000000000 (*.f64 z z) (fma.f64 53758197989915921/720000000000000 z (*.f64 36630596080989161/4147200000000000 (pow.f64 z 3))))) |
(+.f64 12777243138120953/60000000000000 (fma.f64 53758197989915921/720000000000000 z (*.f64 (*.f64 z z) (+.f64 222980468271960011/8640000000000000 (*.f64 36630596080989161/4147200000000000 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 z z)) (/.f64 47576671969241/80000000000 z))) |
(-.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 16075101696843969/10000000000000 (*.f64 z z))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 41160703924046283/10000000000000 (/.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 -47576671969241/80000000000 z) (/.f64 16075101696843969/10000000000000 (*.f64 z z))) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 41160703924046283/10000000000000 (/.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 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 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 -41160703924046283/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.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 -47576671969241/80000000000 z) (/.f64 16075101696843969/10000000000000 (*.f64 z z))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 41160703924046283/10000000000000 (/.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 -47576671969241/80000000000 z) (/.f64 16075101696843969/10000000000000 (*.f64 z z))) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 41160703924046283/10000000000000 (/.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 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 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 -41160703924046283/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4))))) |
(/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) |
(-.f64 (+.f64 (*.f64 14/15 (/.f64 (*.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2))) |
(-.f64 (fma.f64 14/15 (/.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (/.f64 (log.f64 15/2) (/.f64 (exp.f64 15/2) (*.f64 z (sqrt.f64 15/2))))) |
(-.f64 (fma.f64 14/15 (*.f64 (/.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (/.f64 (*.f64 z (sqrt.f64 15/2)) (/.f64 (exp.f64 15/2) (log.f64 15/2)))) |
(-.f64 (+.f64 (*.f64 14/15 (/.f64 (*.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2))) (exp.f64 15/2))) (+.f64 (*.f64 127/225 (/.f64 (*.f64 (pow.f64 z 2) (sqrt.f64 15/2)) (exp.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))) (+.f64 (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)) (*.f64 14/15 (/.f64 (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2))) (exp.f64 15/2))))) |
(-.f64 (fma.f64 14/15 (/.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 15/2) 2) (/.f64 (exp.f64 15/2) (*.f64 (*.f64 z z) (sqrt.f64 15/2)))) (fma.f64 127/225 (/.f64 (*.f64 z z) (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))) (+.f64 (/.f64 (log.f64 15/2) (/.f64 (exp.f64 15/2) (*.f64 z (sqrt.f64 15/2)))) (*.f64 14/15 (/.f64 (log.f64 15/2) (/.f64 (exp.f64 15/2) (*.f64 (*.f64 z z) (sqrt.f64 15/2))))))) |
(-.f64 (fma.f64 14/15 (*.f64 (/.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 2) (exp.f64 15/2)) (*.f64 z (*.f64 z (sqrt.f64 15/2)))) (fma.f64 127/225 (*.f64 (/.f64 (*.f64 z z) (exp.f64 15/2)) (sqrt.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))) (fma.f64 14/15 (/.f64 (log.f64 15/2) (/.f64 (exp.f64 15/2) (*.f64 z (*.f64 z (sqrt.f64 15/2))))) (/.f64 (*.f64 z (sqrt.f64 15/2)) (/.f64 (exp.f64 15/2) (log.f64 15/2))))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2))) (exp.f64 15/2))) (+.f64 (*.f64 892/3375 (/.f64 (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)) (exp.f64 15/2))) (+.f64 (*.f64 14/15 (/.f64 (*.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (+.f64 (*.f64 127/225 (/.f64 (*.f64 (pow.f64 z 2) (sqrt.f64 15/2)) (exp.f64 15/2))) (+.f64 (*.f64 7/15 (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2))) (exp.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (+.f64 (*.f64 14/15 (/.f64 (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2))) (exp.f64 15/2))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 3) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2))) (exp.f64 15/2))) (+.f64 (*.f64 127/225 (/.f64 (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2))) (exp.f64 15/2))) (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))))) |
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 15/2) 2) (/.f64 (exp.f64 15/2) (*.f64 (*.f64 z z) (sqrt.f64 15/2)))) (fma.f64 892/3375 (/.f64 (pow.f64 z 3) (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (fma.f64 14/15 (/.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (fma.f64 127/225 (/.f64 (*.f64 z z) (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (fma.f64 7/15 (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2))) (exp.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (fma.f64 14/15 (/.f64 (log.f64 15/2) (/.f64 (exp.f64 15/2) (*.f64 (*.f64 z z) (sqrt.f64 15/2)))) (fma.f64 1/6 (/.f64 (*.f64 (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)) (pow.f64 (log.f64 15/2) 3)) (exp.f64 15/2)) (fma.f64 127/225 (/.f64 (log.f64 15/2) (/.f64 (exp.f64 15/2) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)))) (/.f64 (log.f64 15/2) (/.f64 (exp.f64 15/2) (*.f64 z (sqrt.f64 15/2)))))))) |
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 2) (exp.f64 15/2)) (*.f64 z (*.f64 z (sqrt.f64 15/2)))) (fma.f64 892/3375 (/.f64 (pow.f64 z 3) (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (fma.f64 14/15 (*.f64 (/.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) (fma.f64 127/225 (*.f64 (/.f64 (*.f64 z z) (exp.f64 15/2)) (sqrt.f64 15/2)) (fma.f64 7/15 (/.f64 (pow.f64 (log.f64 15/2) 2) (/.f64 (exp.f64 15/2) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (fma.f64 14/15 (/.f64 (log.f64 15/2) (/.f64 (exp.f64 15/2) (*.f64 z (*.f64 z (sqrt.f64 15/2))))) (fma.f64 1/6 (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 3) (exp.f64 15/2)) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2))) (fma.f64 127/225 (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2))) (/.f64 (*.f64 z (sqrt.f64 15/2)) (/.f64 (exp.f64 15/2) (log.f64 15/2))))))) |
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 2) (exp.f64 15/2)) (*.f64 z (*.f64 z (sqrt.f64 15/2)))) (fma.f64 892/3375 (/.f64 (pow.f64 z 3) (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (fma.f64 14/15 (*.f64 (/.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) (fma.f64 127/225 (*.f64 (/.f64 (*.f64 z z) (exp.f64 15/2)) (sqrt.f64 15/2)) (fma.f64 7/15 (/.f64 (pow.f64 (log.f64 15/2) 2) (/.f64 (exp.f64 15/2) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (fma.f64 14/15 (/.f64 (log.f64 15/2) (/.f64 (exp.f64 15/2) (*.f64 z (*.f64 z (sqrt.f64 15/2))))) (fma.f64 127/225 (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2))) (fma.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 z (sqrt.f64 15/2)) (*.f64 1/6 (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 3) (exp.f64 15/2)) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)))))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (sqrt.f64 15/2)))) |
(-.f64 (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2)))) (exp.f64 15/2))))) |
(-.f64 (fma.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 z (sqrt.f64 15/2)) (sqrt.f64 2)) (exp.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 15/2) (sqrt.f64 15/2)))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 15/2) (*.f64 (*.f64 z (sqrt.f64 15/2)) (log.f64 15/2))))))) |
(fma.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (-.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (sqrt.f64 15/2)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (*.f64 z (log.f64 15/2))))))) |
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (-.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 15/2) (*.f64 z (log.f64 15/2)))))) (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))) |
(-.f64 (+.f64 (*.f64 3264229102083425005530891465931403/2963520000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2))) (exp.f64 15/2)))) (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2)))) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))))))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2)))) (exp.f64 15/2)))) (+.f64 (*.f64 1479421971200822750497987168891/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (log.f64 15/2) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2)))) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2)))) (exp.f64 15/2))))))) |
(-.f64 (fma.f64 3264229102083425005530891465931403/2963520000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 15/2) (*.f64 (*.f64 z z) (sqrt.f64 15/2))))) (fma.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 z (sqrt.f64 15/2)) (sqrt.f64 2)) (exp.f64 15/2))) (fma.f64 1106209385320415913103082059/8400000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 (*.f64 (*.f64 z z) (sqrt.f64 15/2)) (sqrt.f64 2))) (exp.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 15/2) (sqrt.f64 15/2)))))))) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 15/2) (*.f64 (*.f64 z (sqrt.f64 15/2)) (log.f64 15/2))))) (fma.f64 1479421971200822750497987168891/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 (log.f64 15/2) (sqrt.f64 2)) (*.f64 (*.f64 z z) (sqrt.f64 15/2))) (exp.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (log.f64 15/2)) (*.f64 (*.f64 z z) (sqrt.f64 15/2))) (exp.f64 15/2))))))) |
(-.f64 (fma.f64 3264229102083425005530891465931403/2963520000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 z (*.f64 z (sqrt.f64 15/2))))) (fma.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (sqrt.f64 15/2))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 2) (/.f64 (exp.f64 15/2) (*.f64 (*.f64 z z) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))))) 1106209385320415913103082059/8400000000000000000000000))))) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (*.f64 z (log.f64 15/2))))) (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) 1479421971200822750497987168891/3528000000000000000000000000) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 (log.f64 15/2) (*.f64 z (*.f64 z (sqrt.f64 15/2))))) (/.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (sqrt.f64 2)) (/.f64 (exp.f64 15/2) (*.f64 (log.f64 15/2) (*.f64 z (*.f64 z (sqrt.f64 15/2))))))))) |
(+.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 3264229102083425005530891465931403/2963520000000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 z (*.f64 z (sqrt.f64 15/2))))) (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 z (sqrt.f64 15/2)))))) (-.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (/.f64 (pow.f64 (log.f64 15/2) 2) (/.f64 (exp.f64 15/2) (*.f64 (*.f64 z z) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2)))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (sqrt.f64 15/2))))) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (*.f64 z (log.f64 15/2))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 (log.f64 15/2) (*.f64 z (*.f64 z (sqrt.f64 15/2)))))) 2408637854869972117504576098451/3528000000000000000000000000)))) |
(-.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)))) (+.f64 (*.f64 395971232097753800969862781701012907/276595200000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2))) (exp.f64 15/2)))) (+.f64 (*.f64 2408637854869972117504576098451/7056000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)))) (exp.f64 15/2)))) (+.f64 (*.f64 3264229102083425005530891465931403/2963520000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2))) (exp.f64 15/2)))) (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/8400000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2)))) (exp.f64 15/2))))))))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2)))) (exp.f64 15/2)))) (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 3) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)))) (exp.f64 15/2)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2)))) (exp.f64 15/2)))) (+.f64 (*.f64 1479421971200822750497987168891/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (log.f64 15/2) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2)))) (exp.f64 15/2)))) (+.f64 (*.f64 2873958430942382271388124115516203/2963520000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)))) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/8400000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (log.f64 15/2) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)))) (exp.f64 15/2)))))))))) |
(-.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 15/2) (sqrt.f64 15/2)))) (fma.f64 395971232097753800969862781701012907/276595200000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)) (sqrt.f64 2)) (exp.f64 15/2))) (fma.f64 2408637854869972117504576098451/7056000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (log.f64 15/2) 2) (/.f64 (exp.f64 15/2) (*.f64 (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)) (sqrt.f64 2))))) (fma.f64 3264229102083425005530891465931403/2963520000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 15/2) (*.f64 (*.f64 z z) (sqrt.f64 15/2))))) (fma.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 z (sqrt.f64 15/2)) (sqrt.f64 2)) (exp.f64 15/2))) (*.f64 1106209385320415913103082059/8400000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 (*.f64 (*.f64 z z) (sqrt.f64 15/2)) (sqrt.f64 2))) (exp.f64 15/2))))))))) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 15/2) (*.f64 (*.f64 z (sqrt.f64 15/2)) (log.f64 15/2))))) (fma.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (log.f64 15/2) 3) (/.f64 (exp.f64 15/2) (*.f64 (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)) (sqrt.f64 2))))) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (log.f64 15/2)) (*.f64 (*.f64 z z) (sqrt.f64 15/2))) (exp.f64 15/2))) (fma.f64 1479421971200822750497987168891/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 (log.f64 15/2) (sqrt.f64 2)) (*.f64 (*.f64 z z) (sqrt.f64 15/2))) (exp.f64 15/2))) (fma.f64 2873958430942382271388124115516203/2963520000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (log.f64 15/2)) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2))) (exp.f64 15/2))) (*.f64 1106209385320415913103082059/8400000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (log.f64 15/2) (/.f64 (exp.f64 15/2) (*.f64 (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)) (sqrt.f64 2)))))))))))) |
(-.f64 (+.f64 (fma.f64 395971232097753800969862781701012907/276595200000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)))) (fma.f64 2408637854869972117504576098451/7056000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (log.f64 15/2) 2) (/.f64 (exp.f64 15/2) (*.f64 (pow.f64 z 3) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2)))))) (fma.f64 3264229102083425005530891465931403/2963520000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 z (*.f64 z (sqrt.f64 15/2))))) (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/8400000000000000000000000) (/.f64 (pow.f64 (log.f64 15/2) 2) (/.f64 (exp.f64 15/2) (*.f64 (*.f64 z z) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))))) (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2))))))) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (-.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (sqrt.f64 15/2)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (*.f64 z (log.f64 15/2))))))) (fma.f64 1106209385320415913103082059/25200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (log.f64 15/2) 3)) (*.f64 (pow.f64 z 3) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2)))) (exp.f64 15/2)) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 (log.f64 15/2) (*.f64 z (*.f64 z (sqrt.f64 15/2)))))) (fma.f64 1479421971200822750497987168891/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 (log.f64 15/2) (*.f64 z (*.f64 z (sqrt.f64 15/2)))))) (fma.f64 1106209385320415913103082059/8400000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)))) (exp.f64 15/2)) (*.f64 2873958430942382271388124115516203/2963520000000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)))) (exp.f64 15/2)))))))) |
(-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 2) (/.f64 (exp.f64 15/2) (*.f64 (*.f64 z z) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))))) 1106209385320415913103082059/8400000000000000000000000) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 3264229102083425005530891465931403/2963520000000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 z (*.f64 z (sqrt.f64 15/2))))) (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 z (sqrt.f64 15/2))))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2))) 395971232097753800969862781701012907/276595200000000000000000000000000) (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 2) (/.f64 (exp.f64 15/2) (*.f64 (pow.f64 z 3) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))))) 2408637854869972117504576098451/7056000000000000000000000000)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (-.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 15/2) (*.f64 z (log.f64 15/2)))))))) (+.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 3) (exp.f64 15/2)) (*.f64 (pow.f64 z 3) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2)))) 1106209385320415913103082059/25200000000000000000000000) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 (log.f64 15/2) (*.f64 z (*.f64 z (sqrt.f64 15/2)))))) 2408637854869972117504576098451/3528000000000000000000000000)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)))) (exp.f64 15/2)) 3264229102083425005530891465931403/2963520000000000000000000000000))) |
(*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z))))) |
(*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 (-.f64 15/2 z)) (sqrt.f64 2))))) |
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z)))) |
(-.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z))))) (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) z))))) |
(+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 (-.f64 15/2 z)) (sqrt.f64 2))))) (*.f64 -611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 z (exp.f64 (-.f64 15/2 z))))))) |
(fma.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (*.f64 z (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) -611458333333720910362579/25000000000000000000000)) |
(*.f64 (sqrt.f64 (PI.f64)) (-.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (sqrt.f64 2))) (*.f64 611458333333720910362579/25000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 (*.f64 z (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))) |
(-.f64 (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 z 2))))) (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z)))))) (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) z))))) |
(+.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 (sqrt.f64 2) (*.f64 z z)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 (-.f64 15/2 z)) (sqrt.f64 2)))))) (*.f64 -611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 z (exp.f64 (-.f64 15/2 z))))))) |
(fma.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 z z)) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))))) (fma.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (*.f64 z (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) -611458333333720910362579/25000000000000000000000))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 z z)) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z)))) 1078390842009938509147167/6250000000000000000000) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (sqrt.f64 2))) (*.f64 611458333333720910362579/25000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 (*.f64 z (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))) |
(-.f64 (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 z 2))))) (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z)))))) (+.f64 (*.f64 398308844029173303716389/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 z 3))))) (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) z)))))) |
(-.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 (sqrt.f64 2) (*.f64 z z)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 (-.f64 15/2 z)) (sqrt.f64 2)))))) (fma.f64 398308844029173303716389/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 (sqrt.f64 2) (pow.f64 z 3)))) (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 z (exp.f64 (-.f64 15/2 z)))))))) |
(-.f64 (fma.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 z z)) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z)))) 1078390842009938509147167/6250000000000000000000))) (fma.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (*.f64 z (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 z 3))) 398308844029173303716389/6250000000000000000000)))) |
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (sqrt.f64 2))) (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 z z)) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 398308844029173303716389/6250000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 z 3)))) (*.f64 611458333333720910362579/25000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 (*.f64 z (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))) |
(*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z))))) |
(*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 (-.f64 15/2 z)) (sqrt.f64 2))))) |
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z)))) |
(-.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z))))) (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) z))))) |
(+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 (-.f64 15/2 z)) (sqrt.f64 2))))) (*.f64 -611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 z (exp.f64 (-.f64 15/2 z))))))) |
(fma.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (*.f64 z (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) -611458333333720910362579/25000000000000000000000)) |
(*.f64 (sqrt.f64 (PI.f64)) (-.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (sqrt.f64 2))) (*.f64 611458333333720910362579/25000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 (*.f64 z (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))) |
(-.f64 (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 z 2))))) (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z)))))) (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) z))))) |
(+.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 (sqrt.f64 2) (*.f64 z z)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 (-.f64 15/2 z)) (sqrt.f64 2)))))) (*.f64 -611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 z (exp.f64 (-.f64 15/2 z))))))) |
(fma.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 z z)) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))))) (fma.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (*.f64 z (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) -611458333333720910362579/25000000000000000000000))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 z z)) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z)))) 1078390842009938509147167/6250000000000000000000) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (sqrt.f64 2))) (*.f64 611458333333720910362579/25000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 (*.f64 z (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))) |
(-.f64 (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 z 2))))) (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z)))))) (+.f64 (*.f64 398308844029173303716389/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 z 3))))) (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) z)))))) |
(-.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 (sqrt.f64 2) (*.f64 z z)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 (-.f64 15/2 z)) (sqrt.f64 2)))))) (fma.f64 398308844029173303716389/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 (sqrt.f64 2) (pow.f64 z 3)))) (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 z (exp.f64 (-.f64 15/2 z)))))))) |
(-.f64 (fma.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 z z)) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z)))) 1078390842009938509147167/6250000000000000000000))) (fma.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (*.f64 z (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 z 3))) 398308844029173303716389/6250000000000000000000)))) |
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (sqrt.f64 2))) (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 z z)) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 398308844029173303716389/6250000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 z 3)))) (*.f64 611458333333720910362579/25000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 (*.f64 z (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))) |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 72 | 6 | 78 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 73 | 7 | 80 |
| Status | Error | Program |
|---|---|---|
| 1.6b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 (+.f64 (*.f64 3264229102083425005530891465931403/2963520000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2))) (exp.f64 15/2)))) (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2)))) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))))))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2)))) (exp.f64 15/2)))) (+.f64 (*.f64 1479421971200822750497987168891/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (log.f64 15/2) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2)))) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2)))) (exp.f64 15/2)))))))) | |
| 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))))) | |
| 1.1b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 14/15 (*.f64 (/.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 2) (exp.f64 15/2)) (*.f64 z (*.f64 z (sqrt.f64 15/2)))) (fma.f64 127/225 (*.f64 (/.f64 (*.f64 z z) (exp.f64 15/2)) (sqrt.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))) (fma.f64 14/15 (/.f64 (log.f64 15/2) (/.f64 (exp.f64 15/2) (*.f64 z (*.f64 z (sqrt.f64 15/2))))) (/.f64 (*.f64 z (sqrt.f64 15/2)) (/.f64 (exp.f64 15/2) (log.f64 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 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) | |
| ▶ | 0.5b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (expm1.f64 (log1p.f64 (+.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))))))))) |
| 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 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))))))))) | |
| 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 2) (/.f64 (exp.f64 15/2) (*.f64 (*.f64 z z) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))))) 1106209385320415913103082059/8400000000000000000000000) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 3264229102083425005530891465931403/2963520000000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 z (*.f64 z (sqrt.f64 15/2))))) (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 z (sqrt.f64 15/2))))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2))) 395971232097753800969862781701012907/276595200000000000000000000000000) (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 2) (/.f64 (exp.f64 15/2) (*.f64 (pow.f64 z 3) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))))) 2408637854869972117504576098451/7056000000000000000000000000)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (-.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 15/2) (*.f64 z (log.f64 15/2)))))))) (+.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 3) (exp.f64 15/2)) (*.f64 (pow.f64 z 3) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2)))) 1106209385320415913103082059/25200000000000000000000000) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 (log.f64 15/2) (*.f64 z (*.f64 z (sqrt.f64 15/2)))))) 2408637854869972117504576098451/3528000000000000000000000000)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)))) (exp.f64 15/2)) 3264229102083425005530891465931403/2963520000000000000000000000000)))) | |
| 1.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) 1)) |
Compiled 8345 to 6563 computations (21.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.0b | (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) | |
| 1.0b | (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) | |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| ✓ | 1.6b | (expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | -inf | (expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) |
| 1.0ms | z | @ | inf | (expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) |
| 1.0ms | z | @ | 0 | (expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) |
| 1× | batch-egg-rewrite |
| 259× | expm1-udef_binary64 |
| 259× | log1p-udef_binary64 |
| 203× | fma-neg_binary64 |
| 146× | add-sqr-sqrt_binary64 |
| 143× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 16 |
| 1 | 292 | 16 |
| 2 | 4133 | 16 |
| 1× | node limit |
| Inputs |
|---|
(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 1) 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 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 1)))) (#(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 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 2) (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 (fma.f64 7713234287776531/10000000000000 (-.f64 4 z) (*.f64 (-.f64 3 z) -883075145810703/5000000000000)) (/.f64 1 (*.f64 (-.f64 3 z) (-.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3))) (/.f64 1 (+.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (-.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) (/.f64 -6811365493350374017225292011293/50000000000000000000000000 (*.f64 (-.f64 3 z) (-.f64 4 z)))))))))) (#(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 1 (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (-.f64 3 z) (-.f64 4 z)) (fma.f64 7713234287776531/10000000000000 (-.f64 4 z) (*.f64 (-.f64 3 z) -883075145810703/5000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (-.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) (/.f64 -6811365493350374017225292011293/50000000000000000000000000 (*.f64 (-.f64 3 z) (-.f64 4 z))))) (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.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 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3))) (+.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (-.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) (/.f64 -6811365493350374017225292011293/50000000000000000000000000 (*.f64 (-.f64 3 z) (-.f64 4 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3))) (+.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (/.f64 -6811365493350374017225292011293/50000000000000000000000000 (*.f64 (-.f64 3 z) (-.f64 4 z))))))))) (#(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 (fma.f64 7713234287776531/10000000000000 (-.f64 4 z) (*.f64 (-.f64 3 z) -883075145810703/5000000000000))) (neg.f64 (*.f64 (-.f64 3 z) (-.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 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) (/.f64 -6811365493350374017225292011293/50000000000000000000000000 (*.f64 (-.f64 3 z) (-.f64 4 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 4 z) (*.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) -883075145810703/5000000000000)) (*.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) (-.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -7713234287776531/10000000000000 (-.f64 4 z)) (*.f64 (neg.f64 (-.f64 3 z)) -883075145810703/5000000000000)) (*.f64 (neg.f64 (-.f64 3 z)) (-.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 7713234287776531/10000000000000 (*.f64 (-.f64 4 z) -5000000000000/883075145810703)) (-.f64 3 z)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 4 z) -5000000000000/883075145810703) (*.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) 1)) (*.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) (*.f64 (-.f64 4 z) -5000000000000/883075145810703)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -7713234287776531/10000000000000 (*.f64 (-.f64 4 z) -5000000000000/883075145810703)) (*.f64 (neg.f64 (-.f64 3 z)) 1)) (*.f64 (neg.f64 (-.f64 3 z)) (*.f64 (-.f64 4 z) -5000000000000/883075145810703)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 7713234287776531/10000000000000 (neg.f64 (-.f64 4 z))) (*.f64 (-.f64 3 z) 883075145810703/5000000000000)) (*.f64 (-.f64 3 z) (neg.f64 (-.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (-.f64 4 z)) (*.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) 883075145810703/5000000000000)) (*.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) (neg.f64 (-.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -7713234287776531/10000000000000 (neg.f64 (-.f64 4 z))) (*.f64 (neg.f64 (-.f64 3 z)) 883075145810703/5000000000000)) (*.f64 (neg.f64 (-.f64 3 z)) (neg.f64 (-.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 3 z) (*.f64 (*.f64 (-.f64 4 z) -5000000000000/883075145810703) 7713234287776531/10000000000000)) (*.f64 (*.f64 (-.f64 4 z) -5000000000000/883075145810703) (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 883075145810703/5000000000000 (-.f64 3 z)) (*.f64 (neg.f64 (-.f64 4 z)) 7713234287776531/10000000000000)) (*.f64 (neg.f64 (-.f64 4 z)) (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -883075145810703/5000000000000 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) (-.f64 4 z)) (*.f64 (-.f64 4 z) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) (*.f64 (*.f64 (-.f64 4 z) -5000000000000/883075145810703) 1)) (*.f64 (*.f64 (-.f64 4 z) -5000000000000/883075145810703) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 883075145810703/5000000000000 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) (*.f64 (neg.f64 (-.f64 4 z)) 1)) (*.f64 (neg.f64 (-.f64 4 z)) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -883075145810703/5000000000000 (neg.f64 (-.f64 3 z))) (*.f64 (-.f64 4 z) -7713234287776531/10000000000000)) (*.f64 (-.f64 4 z) (neg.f64 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (-.f64 3 z)) (*.f64 (*.f64 (-.f64 4 z) -5000000000000/883075145810703) -7713234287776531/10000000000000)) (*.f64 (*.f64 (-.f64 4 z) -5000000000000/883075145810703) (neg.f64 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 883075145810703/5000000000000 (neg.f64 (-.f64 3 z))) (*.f64 (neg.f64 (-.f64 4 z)) -7713234287776531/10000000000000)) (*.f64 (neg.f64 (-.f64 4 z)) (neg.f64 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 1) 3) 1) (+.f64 (*.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 1) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 1)) (+.f64 1 (*.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 1) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 1) -1) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 1) 1))))) (#(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 /.f64 (/.f64 (fma.f64 7713234287776531/10000000000000 (-.f64 4 z) (*.f64 (-.f64 3 z) -883075145810703/5000000000000)) (-.f64 3 z)) (-.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 pow.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 2))))) (#(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 log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 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 log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 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 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 1 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.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 (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 (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 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 (*.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 1)) (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 1))) (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 1)) (sqrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 1)) -1))))) |
| 1× | egg-herbie |
| 588× | fma-neg_binary64 |
| 399× | fma-def_binary64 |
| 391× | times-frac_binary64 |
| 321× | cancel-sign-sub-inv_binary64 |
| 226× | distribute-neg-frac_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 195 |
| 1 | 119 | 181 |
| 2 | 307 | 178 |
| 3 | 898 | 171 |
| 4 | 2616 | 171 |
| 1× | node limit |
| Inputs |
|---|
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 222980468271960011/8640000000000000 (pow.f64 z 2)) (+.f64 (*.f64 53758197989915921/720000000000000 z) (*.f64 36630596080989161/4147200000000000 (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 41160703924046283/10000000000000 (/.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 41160703924046283/10000000000000 (/.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 41160703924046283/10000000000000 (/.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 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))))) |
| Outputs |
|---|
12777243138120953/60000000000000 |
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z)) |
(fma.f64 53758197989915921/720000000000000 z 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 53758197989915921/720000000000000 z))) |
(+.f64 12777243138120953/60000000000000 (fma.f64 53758197989915921/720000000000000 z (*.f64 222980468271960011/8640000000000000 (*.f64 z z)))) |
(fma.f64 53758197989915921/720000000000000 z (fma.f64 z (*.f64 z 222980468271960011/8640000000000000) 12777243138120953/60000000000000)) |
(fma.f64 z (fma.f64 z 222980468271960011/8640000000000000 53758197989915921/720000000000000) 12777243138120953/60000000000000) |
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (+.f64 (*.f64 53758197989915921/720000000000000 z) (*.f64 36630596080989161/4147200000000000 (pow.f64 z 3))))) |
(+.f64 12777243138120953/60000000000000 (fma.f64 222980468271960011/8640000000000000 (*.f64 z z) (fma.f64 53758197989915921/720000000000000 z (*.f64 36630596080989161/4147200000000000 (pow.f64 z 3))))) |
(+.f64 12777243138120953/60000000000000 (fma.f64 53758197989915921/720000000000000 z (*.f64 (*.f64 z z) (+.f64 (*.f64 z 36630596080989161/4147200000000000) 222980468271960011/8640000000000000)))) |
(fma.f64 53758197989915921/720000000000000 z (fma.f64 z (*.f64 z (fma.f64 z 36630596080989161/4147200000000000 222980468271960011/8640000000000000)) 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 -47576671969241/80000000000 z) (/.f64 (/.f64 16075101696843969/10000000000000 z) z)) |
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (/.f64 -47576671969241/80000000000 z)) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 41160703924046283/10000000000000 (/.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 -47576671969241/80000000000 z) (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)))) |
(-.f64 (/.f64 -47576671969241/80000000000 z) (-.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3)))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 41160703924046283/10000000000000 (/.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 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 47576671969241/80000000000 z) (+.f64 (/.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 -41160703924046283/10000000000000 (pow.f64 z 3)) (-.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4))))) |
(+.f64 (-.f64 (/.f64 -47576671969241/80000000000 z) (-.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z 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 -47576671969241/80000000000 z) (/.f64 (/.f64 16075101696843969/10000000000000 z) z)) |
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (/.f64 -47576671969241/80000000000 z)) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 41160703924046283/10000000000000 (/.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 -47576671969241/80000000000 z) (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)))) |
(-.f64 (/.f64 -47576671969241/80000000000 z) (-.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3)))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 41160703924046283/10000000000000 (/.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 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 47576671969241/80000000000 z) (+.f64 (/.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 -41160703924046283/10000000000000 (pow.f64 z 3)) (-.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4))))) |
(+.f64 (-.f64 (/.f64 -47576671969241/80000000000 z) (-.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z 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 | 131 | 2 | 133 |
| Fresh | 2 | 4 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 134 | 6 | 140 |
| Status | Error | Program |
|---|---|---|
| 1.6b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 (+.f64 (*.f64 3264229102083425005530891465931403/2963520000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2))) (exp.f64 15/2)))) (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2)))) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))))))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2)))) (exp.f64 15/2)))) (+.f64 (*.f64 1479421971200822750497987168891/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (log.f64 15/2) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2)))) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2)))) (exp.f64 15/2)))))))) | |
| 1.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))) | |
| ▶ | 0.5b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (expm1.f64 (log1p.f64 (+.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))))))))) |
| 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 2) (/.f64 (exp.f64 15/2) (*.f64 (*.f64 z z) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))))) 1106209385320415913103082059/8400000000000000000000000) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 3264229102083425005530891465931403/2963520000000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 z (*.f64 z (sqrt.f64 15/2))))) (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 z (sqrt.f64 15/2))))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2))) 395971232097753800969862781701012907/276595200000000000000000000000000) (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 2) (/.f64 (exp.f64 15/2) (*.f64 (pow.f64 z 3) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))))) 2408637854869972117504576098451/7056000000000000000000000000)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (-.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 15/2) (*.f64 z (log.f64 15/2)))))))) (+.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 3) (exp.f64 15/2)) (*.f64 (pow.f64 z 3) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2)))) 1106209385320415913103082059/25200000000000000000000000) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 (log.f64 15/2) (*.f64 z (*.f64 z (sqrt.f64 15/2)))))) 2408637854869972117504576098451/3528000000000000000000000000)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)))) (exp.f64 15/2)) 3264229102083425005530891465931403/2963520000000000000000000000000)))) | |
| 1.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) 1)) | |
| 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (log.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (expm1.f64 (log1p.f64 (+.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))))))))) |
Compiled 12803 to 10010 computations (21.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.0b | (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) | |
| 1.0b | (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) | |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| 1.6b | (expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) |
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 166 | 1 | 167 |
| Fresh | 0 | 5 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 167 | 6 | 173 |
| Status | Error | Program |
|---|---|---|
| 1.6b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 (+.f64 (*.f64 3264229102083425005530891465931403/2963520000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2))) (exp.f64 15/2)))) (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2)))) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))))))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2)))) (exp.f64 15/2)))) (+.f64 (*.f64 1479421971200822750497987168891/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (log.f64 15/2) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2)))) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2)))) (exp.f64 15/2)))))))) | |
| 1.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))) | |
| ▶ | 0.5b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (cbrt.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (expm1.f64 (log1p.f64 (+.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))))))))) |
| 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (log.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (expm1.f64 (log1p.f64 (+.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))))))))) | |
| 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 2) (/.f64 (exp.f64 15/2) (*.f64 (*.f64 z z) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))))) 1106209385320415913103082059/8400000000000000000000000) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 3264229102083425005530891465931403/2963520000000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 z (*.f64 z (sqrt.f64 15/2))))) (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 z (sqrt.f64 15/2))))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2))) 395971232097753800969862781701012907/276595200000000000000000000000000) (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 2) (/.f64 (exp.f64 15/2) (*.f64 (pow.f64 z 3) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))))) 2408637854869972117504576098451/7056000000000000000000000000)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (-.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 15/2) (*.f64 z (log.f64 15/2)))))))) (+.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 3) (exp.f64 15/2)) (*.f64 (pow.f64 z 3) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2)))) 1106209385320415913103082059/25200000000000000000000000) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 (log.f64 15/2) (*.f64 z (*.f64 z (sqrt.f64 15/2)))))) 2408637854869972117504576098451/3528000000000000000000000000)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)))) (exp.f64 15/2)) 3264229102083425005530891465931403/2963520000000000000000000000000)))) | |
| 1.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) 1)) |
Compiled 20792 to 16317 computations (21.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.0b | (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) | |
| 1.0b | (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) | |
| ✓ | 1.0b | (sqrt.f64 (PI.f64)) |
| 1.6b | (expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) |
| 1× | batch-egg-rewrite |
| 250× | pow1_binary64 |
| 242× | add-sqr-sqrt_binary64 |
| 235× | *-un-lft-identity_binary64 |
| 233× | add-log-exp_binary64 |
| 233× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 4 |
| 1 | 59 | 4 |
| 2 | 667 | 4 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (PI.f64)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (*.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (PI.f64) 1/4)) (pow.f64 (*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (PI.f64) 1/4) 3) 1/2) (sqrt.f64 (pow.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) 1/2) (cbrt.f64 (pow.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) 1/3) (cbrt.f64 (sqrt.f64 (cbrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) 1/4)) 1/3) (cbrt.f64 (pow.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (cbrt.f64 (PI.f64)))) 2) 3) (sqrt.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (PI.f64) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (PI.f64) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 188 | 0 | 188 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 188 | 6 | 194 |
| Status | Error | Program |
|---|---|---|
| 1.6b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 (+.f64 (*.f64 3264229102083425005530891465931403/2963520000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2))) (exp.f64 15/2)))) (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2)))) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))))))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2)))) (exp.f64 15/2)))) (+.f64 (*.f64 1479421971200822750497987168891/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (log.f64 15/2) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2)))) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2)))) (exp.f64 15/2)))))))) | |
| 1.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))) | |
| ✓ | 0.5b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (cbrt.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (expm1.f64 (log1p.f64 (+.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))))))))) |
| 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (log.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (expm1.f64 (log1p.f64 (+.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))))))))) | |
| 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 2) (/.f64 (exp.f64 15/2) (*.f64 (*.f64 z z) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))))) 1106209385320415913103082059/8400000000000000000000000) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 3264229102083425005530891465931403/2963520000000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 z (*.f64 z (sqrt.f64 15/2))))) (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 z (sqrt.f64 15/2))))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2))) 395971232097753800969862781701012907/276595200000000000000000000000000) (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 2) (/.f64 (exp.f64 15/2) (*.f64 (pow.f64 z 3) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))))) 2408637854869972117504576098451/7056000000000000000000000000)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (-.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 15/2) (*.f64 z (log.f64 15/2)))))))) (+.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 3) (exp.f64 15/2)) (*.f64 (pow.f64 z 3) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2)))) 1106209385320415913103082059/25200000000000000000000000) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 (log.f64 15/2) (*.f64 z (*.f64 z (sqrt.f64 15/2)))))) 2408637854869972117504576098451/3528000000000000000000000000)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)))) (exp.f64 15/2)) 3264229102083425005530891465931403/2963520000000000000000000000000)))) | |
| 1.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) 1)) |
Compiled 22566 to 17477 computations (22.6% saved)
Total 0.3b remaining (47.2%)
Threshold costs 0.3b (47.2%)
Compiled 33032 to 26960 computations (18.4% saved)
| 1× | egg-herbie |
| 19× | +-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 | 65 | 163 |
| 1 | 92 | 163 |
| 2 | 105 | 163 |
| 3 | 107 | 163 |
| 4 | 108 | 163 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (cbrt.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (expm1.f64 (log1p.f64 (+.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))))))))) |
| Outputs |
|---|
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (cbrt.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (expm1.f64 (log1p.f64 (+.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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (cbrt.f64 (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (expm1.f64 (log1p.f64 (+.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))))))))) |
| 1× | fuel |
Compiled 918 to 768 computations (16.3% saved)
Loading profile data...