Time bar (total: 1.2min)
| 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)
| 1.0min | 4004× | body | 8192 | exit |
| 4.1s | 8256× | body | 128 | valid |
| 47.0ms | 100× | 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 |
|---|---|---|
| ▶ | 0.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 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))))))))) |
| 1.9b | (*.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 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
| ✓ | 1.0b | (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
| ✓ | 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) |
| ✓ | 1.2b | (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | 0 | (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
| 1.0ms | z | @ | inf | (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
| 1.0ms | z | @ | 0 | (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
| 1.0ms | z | @ | -inf | (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
| 1.0ms | z | @ | inf | (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
| 1× | batch-egg-rewrite |
| 260× | add-sqr-sqrt_binary64 |
| 249× | add-log-exp_binary64 |
| 248× | log1p-expm1-u_binary64 |
| 248× | expm1-log1p-u_binary64 |
| 247× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 48 |
| 1 | 520 | 48 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
(sqrt.f64 (*.f64 (PI.f64) 2)) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.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 *.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 pow.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 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 log.f64 (+.f64 1 (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 cbrt.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))) (-.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 -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) 1)))) (#(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 pow.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 3 z) 7713234287776531/10000000000000) -1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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 (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 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 3)) (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (-.f64 (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -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 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 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 log.f64 (*.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (exp.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 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 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 (*.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (cbrt.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 7713234287776531/10000000000000 (-.f64 3 z))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (sqrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))))) |
| 1× | egg-herbie |
| 378× | associate-*r*_binary64 |
| 369× | fma-def_binary64 |
| 334× | associate-+l+_binary64 |
| 269× | associate-*l*_binary64 |
| 217× | associate-+r+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 132 | 737 |
| 1 | 387 | 707 |
| 2 | 1216 | 701 |
| 1× | node limit |
| Inputs |
|---|
(/.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)))))) |
7713234287776531/30000000000000 |
(+.f64 7713234287776531/30000000000000 (*.f64 7713234287776531/90000000000000 z)) |
(+.f64 7713234287776531/30000000000000 (+.f64 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/90000000000000 z))) |
(+.f64 7713234287776531/30000000000000 (+.f64 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (+.f64 (*.f64 7713234287776531/90000000000000 z) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3))))) |
(/.f64 -7713234287776531/10000000000000 z) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))) |
(/.f64 -7713234287776531/10000000000000 z) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))) |
12777243138120953/60000000000000 |
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z)) |
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z))) |
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 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 |
|---|
(/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) |
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(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))))) |
(-.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)))) |
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3)))) |
(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 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4))))) |
(-.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (+.f64 (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4))))) |
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (-.f64 (+.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3))) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4)))) |
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 101 | 5 | 106 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 102 | 6 | 108 |
| Status | Error | Program |
|---|---|---|
| 1.9b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) 3)) (+.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))))))))) | |
| 2.2b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 3) 1/3)) (+.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))))))))) | |
| ▶ | 1.2b | (*.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 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
| 1.9b | (*.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))))) | |
| 1.3b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 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 (+.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))))))))) | |
| 1.5b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (-.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))) (-.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 10018 to 7837 computations (21.8% 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 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
| 1.0b | (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) | |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| 1.2b | (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | 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 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
| 3.0ms | 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 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
| 2.0ms | 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 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
| 1× | batch-egg-rewrite |
| 682× | add-log-exp_binary64 |
| 681× | log1p-expm1-u_binary64 |
| 681× | expm1-log1p-u_binary64 |
| 676× | pow1_binary64 |
| 57× | add-cbrt-cube_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 102 |
| 1 | 1424 | 102 |
| 1× | node limit |
| Inputs |
|---|
(*.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 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -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 (*.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 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 (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 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)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.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 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 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z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.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 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 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| 1× | egg-herbie |
| 645× | fma-def_binary64 |
| 483× | associate-/l*_binary64 |
| 346× | times-frac_binary64 |
| 343× | associate-/r*_binary64 |
| 324× | associate-/r/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 1391 |
| 1 | 422 | 1369 |
| 2 | 1678 | 1208 |
| 1× | node limit |
| Inputs |
|---|
(*.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 |
|---|
(*.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 (*.f64 (*.f64 (sqrt.f64 (PI.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 (fma.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 15/2) (*.f64 (sqrt.f64 15/2) z)))) (*.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) (*.f64 (*.f64 (sqrt.f64 15/2) z) (log.f64 15/2))) (exp.f64 15/2))))) |
(fma.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) z))) (*.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 z (*.f64 (sqrt.f64 15/2) (log.f64 15/2))))))) |
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(-.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 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 2) (*.f64 z z))) (exp.f64 (-.f64 15/2 z))) (*.f64 (sqrt.f64 (PI.f64)) 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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 z 3)) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z)))) 398308844029173303716389/6250000000000000000000)))) |
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(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (exp.f64 (-.f64 15/2 z)) (sqrt.f64 2))) |
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(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 -611458333333720910362579/25000000000000000000000 (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)))))) |
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(-.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)) (exp.f64 (-.f64 15/2 z))) (/.f64 (/.f64 (sqrt.f64 2) z) z))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.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))) 398308844029173303716389/6250000000000000000000) (*.f64 (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 (sqrt.f64 2) z)) 611458333333720910362579/25000000000000000000000)))) |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 145 | 3 | 148 |
| Fresh | 2 | 3 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 147 | 7 | 154 |
| Status | Error | Program |
|---|---|---|
| 1.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 3) 1/3)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) | |
| ▶ | 1.3b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 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 (+.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))))))))) |
| 1.9b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) 3)) (+.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))))))))) | |
| ✓ | 1.2b | (*.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 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
| 1.9b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 (+.f64 (+.f64 (fma.f64 1106209385320415913103082059/8400000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)) (*.f64 z z)) (pow.f64 (log.f64 15/2) 2))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)) z)) (*.f64 3264229102083425005530891465931403/2963520000000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)) (*.f64 z z)))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 2408637854869972117504576098451/7056000000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (/.f64 (exp.f64 15/2) (pow.f64 z 3))) (pow.f64 (log.f64 15/2) 2))) (*.f64 395971232097753800969862781701012907/276595200000000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (/.f64 (exp.f64 15/2) (pow.f64 z 3))))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (-.f64 (sqrt.f64 15/2) (*.f64 z (*.f64 (sqrt.f64 15/2) (log.f64 15/2)))))))) (+.f64 (fma.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (/.f64 (exp.f64 15/2) (pow.f64 z 3))) (pow.f64 (log.f64 15/2) 3))) (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 15/2)) (*.f64 (log.f64 15/2) (*.f64 (sqrt.f64 15/2) (*.f64 z z)))) 2408637854869972117504576098451/3528000000000000000000000000)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (/.f64 (exp.f64 15/2) (pow.f64 z 3))) (log.f64 15/2))) 3264229102083425005530891465931403/2963520000000000000000000000000)))) | |
| 2.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)) z)) (*.f64 3264229102083425005530891465931403/2963520000000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)) (*.f64 z z))))) (-.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)) (*.f64 z z)) (pow.f64 (log.f64 15/2) 2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))))) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)) z) (log.f64 15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 15/2)) (*.f64 (log.f64 15/2) (*.f64 (sqrt.f64 15/2) (*.f64 z z)))) 2408637854869972117504576098451/3528000000000000000000000000))))) | |
| 1.5b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (-.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))) (-.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 17181 to 13603 computations (20.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| ✓ | 1.0b | (pow.f64 (log.f64 15/2) 3) |
| ✓ | 1.0b | (pow.f64 (log.f64 15/2) 2) |
| 1× | batch-egg-rewrite |
| 822× | pow1_binary64 |
| 775× | log1p-expm1-u_binary64 |
| 775× | expm1-log1p-u_binary64 |
| 94× | add-sqr-sqrt_binary64 |
| 92× | add-log-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 20 |
| 1 | 212 | 20 |
| 2 | 2243 | 20 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (log.f64 15/2) 2) |
(pow.f64 (log.f64 15/2) 3) |
(/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 15/2) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 15/2) (log.f64 15/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 15/2) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 15/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 15/2) 4)) (cbrt.f64 (pow.f64 (log.f64 15/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 15/2) 2)) (cbrt.f64 (pow.f64 (log.f64 15/2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 15/2) 2)) (*.f64 (cbrt.f64 (log.f64 15/2)) (log.f64 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 15/2)) (pow.f64 (log.f64 15/2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 15/2) 3/2) (sqrt.f64 (log.f64 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 15/2) (cbrt.f64 (pow.f64 (log.f64 15/2) 2))) (cbrt.f64 (log.f64 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 15/2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 15/2 (log.f64 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 15/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 15/2) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 15/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (log.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 15/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 15/2) 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 15/2) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 15/2) (pow.f64 (log.f64 15/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 15/2) 2) (log.f64 15/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 15/2) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 15/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 15/2) 4)) (*.f64 (cbrt.f64 (pow.f64 (log.f64 15/2) 2)) (log.f64 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 15/2) 2)) (*.f64 (cbrt.f64 (log.f64 15/2)) (pow.f64 (log.f64 15/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 15/2)) (*.f64 (sqrt.f64 (log.f64 15/2)) (pow.f64 (log.f64 15/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 15/2) 3/2) (pow.f64 (log.f64 15/2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 15/2)) 3) (pow.f64 (sqrt.f64 (log.f64 15/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 15/2) (cbrt.f64 (pow.f64 (log.f64 15/2) 4))) (cbrt.f64 (pow.f64 (log.f64 15/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (cbrt.f64 (pow.f64 (log.f64 15/2) 2))) (cbrt.f64 (log.f64 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (sqrt.f64 (log.f64 15/2))) (sqrt.f64 (log.f64 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 15/2) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log.f64 15/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 15/2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (log.f64 15/2) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 15/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (log.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 15/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 15/2) 3))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 15/2) (exp.f64 -15/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 15/2) (*.f64 (cbrt.f64 (sqrt.f64 15/2)) (exp.f64 -15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (cbrt.f64 (/.f64 15/2 (exp.f64 15))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 15/2 (exp.f64 15))) (cbrt.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 15/2 1/4) (*.f64 (pow.f64 15/2 1/4) (exp.f64 -15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (sqrt.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 15/2)) (/.f64 1 (neg.f64 (exp.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 15/2) 1) (/.f64 (cbrt.f64 (sqrt.f64 15/2)) (exp.f64 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 15/2 1/4) 1) (/.f64 (pow.f64 15/2 1/4) (exp.f64 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (exp.f64 15))) (/.f64 (sqrt.f64 15/2) (cbrt.f64 (exp.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 15/2) (cbrt.f64 (exp.f64 15))) (cbrt.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 15/2 1/4) (cbrt.f64 (exp.f64 15))) (/.f64 (pow.f64 15/2 1/4) (cbrt.f64 (exp.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (exp.f64 15/2))) (/.f64 (sqrt.f64 15/2) (sqrt.f64 (exp.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 15/2) (sqrt.f64 (exp.f64 15/2))) (/.f64 (cbrt.f64 (sqrt.f64 15/2)) (sqrt.f64 (exp.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 15/2) (sqrt.f64 15/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 15/2) (neg.f64 (exp.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 15/2 (exp.f64 15)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 15/2)) (exp.f64 -15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (*.f64 15/2 (sqrt.f64 15/2)) (pow.f64 (exp.f64 15/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (sqrt.f64 15/2)) 15/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (sqrt.f64 15/2)) 15/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 105 | 0 | 105 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 105 | 7 | 112 |
| Status | Error | Program |
|---|---|---|
| 1.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 3) 1/3)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) | |
| ✓ | 1.3b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 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 (+.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))))))))) |
| 1.9b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) 3)) (+.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))))))))) | |
| ✓ | 1.2b | (*.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 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
| 1.9b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 (+.f64 (+.f64 (fma.f64 1106209385320415913103082059/8400000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)) (*.f64 z z)) (pow.f64 (log.f64 15/2) 2))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)) z)) (*.f64 3264229102083425005530891465931403/2963520000000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)) (*.f64 z z)))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 2408637854869972117504576098451/7056000000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (/.f64 (exp.f64 15/2) (pow.f64 z 3))) (pow.f64 (log.f64 15/2) 2))) (*.f64 395971232097753800969862781701012907/276595200000000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (/.f64 (exp.f64 15/2) (pow.f64 z 3))))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (-.f64 (sqrt.f64 15/2) (*.f64 z (*.f64 (sqrt.f64 15/2) (log.f64 15/2)))))))) (+.f64 (fma.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (/.f64 (exp.f64 15/2) (pow.f64 z 3))) (pow.f64 (log.f64 15/2) 3))) (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 15/2)) (*.f64 (log.f64 15/2) (*.f64 (sqrt.f64 15/2) (*.f64 z z)))) 2408637854869972117504576098451/3528000000000000000000000000)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (/.f64 (exp.f64 15/2) (pow.f64 z 3))) (log.f64 15/2))) 3264229102083425005530891465931403/2963520000000000000000000000000)))) | |
| 2.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)) z)) (*.f64 3264229102083425005530891465931403/2963520000000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)) (*.f64 z z))))) (-.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)) (*.f64 z z)) (pow.f64 (log.f64 15/2) 2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))))) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)) z) (log.f64 15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 15/2)) (*.f64 (log.f64 15/2) (*.f64 (sqrt.f64 15/2) (*.f64 z z)))) 2408637854869972117504576098451/3528000000000000000000000000))))) | |
| ▶ | 1.5b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (-.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))) (-.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 22089 to 19344 computations (12.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (-.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))) (-.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 7713234287776531/10000000000000 (-.f64 3 z)) | |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| ✓ | 1.6b | (exp.f64 (-.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))) (-.f64 15/2 z))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | z | @ | 0 | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (-.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))) (-.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)))))))) |
| 2.0ms | z | @ | inf | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (-.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))) (-.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)))))))) |
| 2.0ms | z | @ | 0 | (exp.f64 (-.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))) (-.f64 15/2 z))) |
| 1.0ms | z | @ | -inf | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (-.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))) (-.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)))))))) |
| 0.0ms | z | @ | inf | (exp.f64 (-.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))) (-.f64 15/2 z))) |
| 1× | batch-egg-rewrite |
| 675× | add-log-exp_binary64 |
| 673× | log1p-expm1-u_binary64 |
| 673× | expm1-log1p-u_binary64 |
| 668× | pow1_binary64 |
| 55× | add-cbrt-cube_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 124 |
| 1 | 1389 | 124 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (-.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))) (-.f64 15/2 z))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (-.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))) (-.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 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (neg.f64 (-.f64 15/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (neg.f64 (-.f64 15/2 z))))) (cbrt.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (neg.f64 (-.f64 15/2 z)))))) (cbrt.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (neg.f64 (-.f64 15/2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (neg.f64 (-.f64 15/2 z))))) (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (neg.f64 (-.f64 15/2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))) (exp.f64 (-.f64 15/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (neg.f64 (-.f64 15/2 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (neg.f64 (-.f64 15/2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (neg.f64 (-.f64 15/2 z)))) (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (neg.f64 (-.f64 15/2 z))))) (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (neg.f64 (-.f64 15/2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (neg.f64 (-.f64 15/2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (neg.f64 (-.f64 15/2 z)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (neg.f64 (-.f64 15/2 z)))) (sqrt.f64 (*.f64 (PI.f64) 2)))) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.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 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (neg.f64 (-.f64 15/2 z)))) (sqrt.f64 (*.f64 (PI.f64) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (neg.f64 (-.f64 15/2 z)))) (sqrt.f64 (*.f64 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| 1× | egg-herbie |
| 468× | cancel-sign-sub-inv_binary64 |
| 440× | associate-*l/_binary64 |
| 279× | associate-*r*_binary64 |
| 203× | fma-neg_binary64 |
| 180× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 152 | 2049 |
| 1 | 498 | 1947 |
| 2 | 2146 | 1577 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) |
(-.f64 (+.f64 (*.f64 14/15 (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) z)) (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2))) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (log.f64 15/2) z))) |
(-.f64 (+.f64 (*.f64 14/15 (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) z)) (+.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (pow.f64 (log.f64 15/2) 2) (pow.f64 z 2)))) (*.f64 127/225 (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (pow.f64 z 2)))))) (+.f64 (*.f64 14/15 (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (log.f64 15/2) (pow.f64 z 2)))) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (log.f64 15/2) z)))) |
(-.f64 (+.f64 (*.f64 14/15 (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) z)) (+.f64 (*.f64 7/15 (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (pow.f64 (log.f64 15/2) 2) (pow.f64 z 3)))) (+.f64 (*.f64 892/3375 (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (pow.f64 z 3))) (+.f64 (*.f64 127/225 (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (pow.f64 z 2))) (+.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 1/2 (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (pow.f64 (log.f64 15/2) 2) (pow.f64 z 2))))))))) (+.f64 (*.f64 14/15 (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (log.f64 15/2) (pow.f64 z 2)))) (+.f64 (*.f64 127/225 (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (log.f64 15/2) (pow.f64 z 3)))) (+.f64 (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (log.f64 15/2) z)) (*.f64 1/6 (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (pow.f64 (log.f64 15/2) 3) (pow.f64 z 3)))))))) |
(exp.f64 (-.f64 (+.f64 z (*.f64 1/2 (log.f64 (-.f64 15/2 z)))) (+.f64 (*.f64 z (log.f64 (-.f64 15/2 z))) 15/2))) |
(exp.f64 (-.f64 (+.f64 z (*.f64 1/2 (log.f64 (-.f64 15/2 z)))) (+.f64 (*.f64 z (log.f64 (-.f64 15/2 z))) 15/2))) |
(exp.f64 (-.f64 (+.f64 z (*.f64 1/2 (log.f64 (-.f64 15/2 z)))) (+.f64 (*.f64 z (log.f64 (-.f64 15/2 z))) 15/2))) |
(exp.f64 (-.f64 (+.f64 z (*.f64 1/2 (log.f64 (-.f64 15/2 z)))) (+.f64 (*.f64 z (log.f64 (-.f64 15/2 z))) 15/2))) |
(exp.f64 (-.f64 (+.f64 z (*.f64 1/2 (log.f64 (-.f64 15/2 z)))) (+.f64 (*.f64 z (log.f64 (-.f64 15/2 z))) 15/2))) |
(exp.f64 (-.f64 (+.f64 z (*.f64 1/2 (log.f64 (-.f64 15/2 z)))) (+.f64 (*.f64 z (log.f64 (-.f64 15/2 z))) 15/2))) |
(exp.f64 (-.f64 (+.f64 z (*.f64 1/2 (log.f64 (-.f64 15/2 z)))) (+.f64 (*.f64 z (log.f64 (-.f64 15/2 z))) 15/2))) |
(exp.f64 (-.f64 (+.f64 z (*.f64 1/2 (log.f64 (-.f64 15/2 z)))) (+.f64 (*.f64 z (log.f64 (-.f64 15/2 z))) 15/2))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (sqrt.f64 2)))) |
(-.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (sqrt.f64 2)))) (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (sqrt.f64 2) z))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) z)))))) |
(-.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (sqrt.f64 2)))) (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (sqrt.f64 2) z)))) (+.f64 (*.f64 3264229102083425005530891465931403/2963520000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (sqrt.f64 2) (pow.f64 z 2))))) (*.f64 1106209385320415913103082059/8400000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (log.f64 15/2) 2) (pow.f64 z 2))))))))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) z))))) (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (log.f64 15/2) (*.f64 (sqrt.f64 2) (pow.f64 z 2)))))))) |
(-.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (sqrt.f64 2)))) (+.f64 (*.f64 2408637854869972117504576098451/7056000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 (sqrt.f64 2) (pow.f64 z 3)))))) (+.f64 (*.f64 395971232097753800969862781701012907/276595200000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (sqrt.f64 2) (pow.f64 z 3))))) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (log.f64 15/2) 2) (pow.f64 z 2)))))) (+.f64 (*.f64 3264229102083425005530891465931403/2963520000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (sqrt.f64 2) (pow.f64 z 2))))) (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (sqrt.f64 2) z))))))))) (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (log.f64 15/2) 3) (pow.f64 z 3)))))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) z))))) (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (log.f64 15/2) (*.f64 (sqrt.f64 2) (pow.f64 z 2)))))) (*.f64 3264229102083425005530891465931403/2963520000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) (pow.f64 z 3)))))))))) |
(*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (exp.f64 (-.f64 (+.f64 z (*.f64 1/2 (log.f64 (-.f64 15/2 z)))) (+.f64 (*.f64 z (log.f64 (-.f64 15/2 z))) 15/2))) (sqrt.f64 2)) (sqrt.f64 (PI.f64)))) |
(-.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (exp.f64 (-.f64 (+.f64 z (*.f64 1/2 (log.f64 (-.f64 15/2 z)))) (+.f64 (*.f64 z (log.f64 (-.f64 15/2 z))) 15/2))) (sqrt.f64 2)) (sqrt.f64 (PI.f64)))) (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 (-.f64 (+.f64 z (*.f64 1/2 (log.f64 (-.f64 15/2 z)))) (+.f64 (*.f64 z (log.f64 (-.f64 15/2 z))) 15/2))) (sqrt.f64 2)) z) (sqrt.f64 (PI.f64))))) |
(-.f64 (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 (-.f64 (+.f64 z (*.f64 1/2 (log.f64 (-.f64 15/2 z)))) (+.f64 (*.f64 z (log.f64 (-.f64 15/2 z))) 15/2))) (sqrt.f64 2)) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (exp.f64 (-.f64 (+.f64 z (*.f64 1/2 (log.f64 (-.f64 15/2 z)))) (+.f64 (*.f64 z (log.f64 (-.f64 15/2 z))) 15/2))) (sqrt.f64 2)) (sqrt.f64 (PI.f64))))) (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 (-.f64 (+.f64 z (*.f64 1/2 (log.f64 (-.f64 15/2 z)))) (+.f64 (*.f64 z (log.f64 (-.f64 15/2 z))) 15/2))) (sqrt.f64 2)) z) (sqrt.f64 (PI.f64))))) |
(-.f64 (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 (-.f64 (+.f64 z (*.f64 1/2 (log.f64 (-.f64 15/2 z)))) (+.f64 (*.f64 z (log.f64 (-.f64 15/2 z))) 15/2))) (sqrt.f64 2)) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (exp.f64 (-.f64 (+.f64 z (*.f64 1/2 (log.f64 (-.f64 15/2 z)))) (+.f64 (*.f64 z (log.f64 (-.f64 15/2 z))) 15/2))) (sqrt.f64 2)) (sqrt.f64 (PI.f64))))) (+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 (-.f64 (+.f64 z (*.f64 1/2 (log.f64 (-.f64 15/2 z)))) (+.f64 (*.f64 z (log.f64 (-.f64 15/2 z))) 15/2))) (sqrt.f64 2)) z) (sqrt.f64 (PI.f64)))) (*.f64 398308844029173303716389/6250000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 (-.f64 (+.f64 z (*.f64 1/2 (log.f64 (-.f64 15/2 z)))) (+.f64 (*.f64 z (log.f64 (-.f64 15/2 z))) 15/2))) (sqrt.f64 2)) (pow.f64 z 3)) (sqrt.f64 (PI.f64)))))) |
(*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (exp.f64 (-.f64 (+.f64 z (*.f64 1/2 (log.f64 (-.f64 15/2 z)))) (+.f64 (*.f64 z (log.f64 (-.f64 15/2 z))) 15/2))) (sqrt.f64 2)) (sqrt.f64 (PI.f64)))) |
(-.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (exp.f64 (-.f64 (+.f64 z (*.f64 1/2 (log.f64 (-.f64 15/2 z)))) (+.f64 (*.f64 z (log.f64 (-.f64 15/2 z))) 15/2))) (sqrt.f64 2)) (sqrt.f64 (PI.f64)))) (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 (-.f64 (+.f64 z (*.f64 1/2 (log.f64 (-.f64 15/2 z)))) (+.f64 (*.f64 z (log.f64 (-.f64 15/2 z))) 15/2))) (sqrt.f64 2)) z) (sqrt.f64 (PI.f64))))) |
(-.f64 (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 (-.f64 (+.f64 z (*.f64 1/2 (log.f64 (-.f64 15/2 z)))) (+.f64 (*.f64 z (log.f64 (-.f64 15/2 z))) 15/2))) (sqrt.f64 2)) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (exp.f64 (-.f64 (+.f64 z (*.f64 1/2 (log.f64 (-.f64 15/2 z)))) (+.f64 (*.f64 z (log.f64 (-.f64 15/2 z))) 15/2))) (sqrt.f64 2)) (sqrt.f64 (PI.f64))))) (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 (-.f64 (+.f64 z (*.f64 1/2 (log.f64 (-.f64 15/2 z)))) (+.f64 (*.f64 z (log.f64 (-.f64 15/2 z))) 15/2))) (sqrt.f64 2)) z) (sqrt.f64 (PI.f64))))) |
(-.f64 (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 (-.f64 (+.f64 z (*.f64 1/2 (log.f64 (-.f64 15/2 z)))) (+.f64 (*.f64 z (log.f64 (-.f64 15/2 z))) 15/2))) (sqrt.f64 2)) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (exp.f64 (-.f64 (+.f64 z (*.f64 1/2 (log.f64 (-.f64 15/2 z)))) (+.f64 (*.f64 z (log.f64 (-.f64 15/2 z))) 15/2))) (sqrt.f64 2)) (sqrt.f64 (PI.f64))))) (+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 (-.f64 (+.f64 z (*.f64 1/2 (log.f64 (-.f64 15/2 z)))) (+.f64 (*.f64 z (log.f64 (-.f64 15/2 z))) 15/2))) (sqrt.f64 2)) z) (sqrt.f64 (PI.f64)))) (*.f64 398308844029173303716389/6250000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 (-.f64 (+.f64 z (*.f64 1/2 (log.f64 (-.f64 15/2 z)))) (+.f64 (*.f64 z (log.f64 (-.f64 15/2 z))) 15/2))) (sqrt.f64 2)) (pow.f64 z 3)) (sqrt.f64 (PI.f64)))))) |
| Outputs |
|---|
(exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) |
(exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2)) |
(*.f64 (pow.f64 15/2 1/2) (exp.f64 -15/2)) |
(*.f64 (sqrt.f64 15/2) (exp.f64 -15/2)) |
(-.f64 (+.f64 (*.f64 14/15 (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) z)) (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2))) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (log.f64 15/2) z))) |
(-.f64 (fma.f64 14/15 (*.f64 (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2)) z) (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2))) (*.f64 (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2)) (*.f64 (log.f64 15/2) z))) |
(-.f64 (fma.f64 14/15 (*.f64 (*.f64 (pow.f64 15/2 1/2) (exp.f64 -15/2)) z) (*.f64 (pow.f64 15/2 1/2) (exp.f64 -15/2))) (*.f64 (*.f64 (pow.f64 15/2 1/2) (exp.f64 -15/2)) (*.f64 (log.f64 15/2) z))) |
(+.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2)) (*.f64 (/.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (-.f64 14/15 (log.f64 15/2)))) |
(-.f64 (+.f64 (*.f64 14/15 (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) z)) (+.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (pow.f64 (log.f64 15/2) 2) (pow.f64 z 2)))) (*.f64 127/225 (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (pow.f64 z 2)))))) (+.f64 (*.f64 14/15 (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (log.f64 15/2) (pow.f64 z 2)))) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (log.f64 15/2) z)))) |
(-.f64 (+.f64 (fma.f64 14/15 (*.f64 (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2)) z) (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2))) (fma.f64 1/2 (*.f64 (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2)) (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 z z))) (*.f64 127/225 (*.f64 (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2)) (*.f64 z z))))) (fma.f64 14/15 (*.f64 (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2)) (*.f64 (log.f64 15/2) (*.f64 z z))) (*.f64 (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2)) (*.f64 (log.f64 15/2) z)))) |
(-.f64 (fma.f64 14/15 (*.f64 (*.f64 (pow.f64 15/2 1/2) (exp.f64 -15/2)) z) (fma.f64 127/225 (*.f64 (*.f64 (pow.f64 15/2 1/2) (exp.f64 -15/2)) (*.f64 z z)) (fma.f64 1/2 (*.f64 (*.f64 (pow.f64 15/2 1/2) (exp.f64 -15/2)) (*.f64 z (*.f64 z (pow.f64 (log.f64 15/2) 2)))) (*.f64 (pow.f64 15/2 1/2) (exp.f64 -15/2))))) (fma.f64 (*.f64 (pow.f64 15/2 1/2) (exp.f64 -15/2)) (*.f64 (log.f64 15/2) z) (*.f64 (*.f64 (pow.f64 15/2 1/2) (exp.f64 -15/2)) (*.f64 (*.f64 (log.f64 15/2) (*.f64 z z)) 14/15)))) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 14/15 z) 1) (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (*.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2)) (+.f64 (*.f64 127/225 (*.f64 z z)) (*.f64 1/2 (*.f64 z (*.f64 z (pow.f64 (log.f64 15/2) 2))))))) (*.f64 (*.f64 (log.f64 15/2) (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (+.f64 z (*.f64 (*.f64 z z) 14/15)))) |
(-.f64 (+.f64 (*.f64 14/15 (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) z)) (+.f64 (*.f64 7/15 (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (pow.f64 (log.f64 15/2) 2) (pow.f64 z 3)))) (+.f64 (*.f64 892/3375 (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (pow.f64 z 3))) (+.f64 (*.f64 127/225 (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (pow.f64 z 2))) (+.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 1/2 (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (pow.f64 (log.f64 15/2) 2) (pow.f64 z 2))))))))) (+.f64 (*.f64 14/15 (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (log.f64 15/2) (pow.f64 z 2)))) (+.f64 (*.f64 127/225 (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (log.f64 15/2) (pow.f64 z 3)))) (+.f64 (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (log.f64 15/2) z)) (*.f64 1/6 (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (pow.f64 (log.f64 15/2) 3) (pow.f64 z 3)))))))) |
(-.f64 (fma.f64 14/15 (*.f64 (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2)) z) (fma.f64 7/15 (*.f64 (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2)) (*.f64 (pow.f64 (log.f64 15/2) 2) (pow.f64 z 3))) (fma.f64 892/3375 (*.f64 (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2)) (pow.f64 z 3)) (+.f64 (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2)) (fma.f64 1/2 (*.f64 (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2)) (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 z z))) (*.f64 127/225 (*.f64 (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2)) (*.f64 z z)))))))) (fma.f64 14/15 (*.f64 (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2)) (*.f64 (log.f64 15/2) (*.f64 z z))) (fma.f64 127/225 (*.f64 (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2)) (*.f64 (log.f64 15/2) (pow.f64 z 3))) (fma.f64 (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2)) (*.f64 (log.f64 15/2) z) (*.f64 1/6 (*.f64 (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2)) (*.f64 (pow.f64 z 3) (pow.f64 (log.f64 15/2) 3)))))))) |
(fma.f64 14/15 (*.f64 (*.f64 (pow.f64 15/2 1/2) (exp.f64 -15/2)) z) (-.f64 (fma.f64 7/15 (*.f64 (*.f64 (pow.f64 15/2 1/2) (exp.f64 -15/2)) (*.f64 (pow.f64 (log.f64 15/2) 2) (pow.f64 z 3))) (fma.f64 892/3375 (*.f64 (*.f64 (pow.f64 15/2 1/2) (exp.f64 -15/2)) (pow.f64 z 3)) (fma.f64 127/225 (*.f64 (*.f64 (pow.f64 15/2 1/2) (exp.f64 -15/2)) (*.f64 z z)) (fma.f64 1/2 (*.f64 (*.f64 (pow.f64 15/2 1/2) (exp.f64 -15/2)) (*.f64 z (*.f64 z (pow.f64 (log.f64 15/2) 2)))) (*.f64 (pow.f64 15/2 1/2) (exp.f64 -15/2)))))) (fma.f64 14/15 (*.f64 (*.f64 (pow.f64 15/2 1/2) (exp.f64 -15/2)) (*.f64 (log.f64 15/2) (*.f64 z z))) (fma.f64 127/225 (*.f64 (log.f64 15/2) (*.f64 (*.f64 (pow.f64 15/2 1/2) (exp.f64 -15/2)) (pow.f64 z 3))) (fma.f64 (*.f64 (pow.f64 15/2 1/2) (exp.f64 -15/2)) (*.f64 (log.f64 15/2) z) (*.f64 (*.f64 (pow.f64 z 3) (pow.f64 (log.f64 15/2) 3)) (/.f64 (*.f64 1/6 (pow.f64 15/2 1/2)) (exp.f64 15/2)))))))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2)) (+.f64 (*.f64 14/15 z) (*.f64 7/15 (*.f64 (pow.f64 (log.f64 15/2) 2) (pow.f64 z 3))))) (-.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2)) (+.f64 (*.f64 127/225 (*.f64 z z)) (*.f64 1/2 (*.f64 z (*.f64 z (pow.f64 (log.f64 15/2) 2)))))) (*.f64 (+.f64 (*.f64 892/3375 (pow.f64 z 3)) 1) (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2)))) (+.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2)) (+.f64 (*.f64 (log.f64 15/2) z) (*.f64 1/6 (*.f64 (pow.f64 z 3) (pow.f64 (log.f64 15/2) 3))))) (*.f64 (*.f64 (log.f64 15/2) (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (+.f64 (*.f64 (*.f64 z z) 14/15) (*.f64 (pow.f64 z 3) 127/225)))))) |
(exp.f64 (-.f64 (+.f64 z (*.f64 1/2 (log.f64 (-.f64 15/2 z)))) (+.f64 (*.f64 z (log.f64 (-.f64 15/2 z))) 15/2))) |
(exp.f64 (+.f64 z (-.f64 (*.f64 1/2 (log.f64 (-.f64 15/2 z))) (fma.f64 z (log.f64 (-.f64 15/2 z)) 15/2)))) |
(exp.f64 (-.f64 (fma.f64 1/2 (log.f64 (-.f64 15/2 z)) z) (fma.f64 z (log.f64 (-.f64 15/2 z)) 15/2))) |
(exp.f64 (+.f64 z (+.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z)) -15/2))) |
(exp.f64 (-.f64 (+.f64 z (*.f64 1/2 (log.f64 (-.f64 15/2 z)))) (+.f64 (*.f64 z (log.f64 (-.f64 15/2 z))) 15/2))) |
(exp.f64 (+.f64 z (-.f64 (*.f64 1/2 (log.f64 (-.f64 15/2 z))) (fma.f64 z (log.f64 (-.f64 15/2 z)) 15/2)))) |
(exp.f64 (-.f64 (fma.f64 1/2 (log.f64 (-.f64 15/2 z)) z) (fma.f64 z (log.f64 (-.f64 15/2 z)) 15/2))) |
(exp.f64 (+.f64 z (+.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z)) -15/2))) |
(exp.f64 (-.f64 (+.f64 z (*.f64 1/2 (log.f64 (-.f64 15/2 z)))) (+.f64 (*.f64 z (log.f64 (-.f64 15/2 z))) 15/2))) |
(exp.f64 (+.f64 z (-.f64 (*.f64 1/2 (log.f64 (-.f64 15/2 z))) (fma.f64 z (log.f64 (-.f64 15/2 z)) 15/2)))) |
(exp.f64 (-.f64 (fma.f64 1/2 (log.f64 (-.f64 15/2 z)) z) (fma.f64 z (log.f64 (-.f64 15/2 z)) 15/2))) |
(exp.f64 (+.f64 z (+.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z)) -15/2))) |
(exp.f64 (-.f64 (+.f64 z (*.f64 1/2 (log.f64 (-.f64 15/2 z)))) (+.f64 (*.f64 z (log.f64 (-.f64 15/2 z))) 15/2))) |
(exp.f64 (+.f64 z (-.f64 (*.f64 1/2 (log.f64 (-.f64 15/2 z))) (fma.f64 z (log.f64 (-.f64 15/2 z)) 15/2)))) |
(exp.f64 (-.f64 (fma.f64 1/2 (log.f64 (-.f64 15/2 z)) z) (fma.f64 z (log.f64 (-.f64 15/2 z)) 15/2))) |
(exp.f64 (+.f64 z (+.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z)) -15/2))) |
(exp.f64 (-.f64 (+.f64 z (*.f64 1/2 (log.f64 (-.f64 15/2 z)))) (+.f64 (*.f64 z (log.f64 (-.f64 15/2 z))) 15/2))) |
(exp.f64 (+.f64 z (-.f64 (*.f64 1/2 (log.f64 (-.f64 15/2 z))) (fma.f64 z (log.f64 (-.f64 15/2 z)) 15/2)))) |
(exp.f64 (-.f64 (fma.f64 1/2 (log.f64 (-.f64 15/2 z)) z) (fma.f64 z (log.f64 (-.f64 15/2 z)) 15/2))) |
(exp.f64 (+.f64 z (+.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z)) -15/2))) |
(exp.f64 (-.f64 (+.f64 z (*.f64 1/2 (log.f64 (-.f64 15/2 z)))) (+.f64 (*.f64 z (log.f64 (-.f64 15/2 z))) 15/2))) |
(exp.f64 (+.f64 z (-.f64 (*.f64 1/2 (log.f64 (-.f64 15/2 z))) (fma.f64 z (log.f64 (-.f64 15/2 z)) 15/2)))) |
(exp.f64 (-.f64 (fma.f64 1/2 (log.f64 (-.f64 15/2 z)) z) (fma.f64 z (log.f64 (-.f64 15/2 z)) 15/2))) |
(exp.f64 (+.f64 z (+.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z)) -15/2))) |
(exp.f64 (-.f64 (+.f64 z (*.f64 1/2 (log.f64 (-.f64 15/2 z)))) (+.f64 (*.f64 z (log.f64 (-.f64 15/2 z))) 15/2))) |
(exp.f64 (+.f64 z (-.f64 (*.f64 1/2 (log.f64 (-.f64 15/2 z))) (fma.f64 z (log.f64 (-.f64 15/2 z)) 15/2)))) |
(exp.f64 (-.f64 (fma.f64 1/2 (log.f64 (-.f64 15/2 z)) z) (fma.f64 z (log.f64 (-.f64 15/2 z)) 15/2))) |
(exp.f64 (+.f64 z (+.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z)) -15/2))) |
(exp.f64 (-.f64 (+.f64 z (*.f64 1/2 (log.f64 (-.f64 15/2 z)))) (+.f64 (*.f64 z (log.f64 (-.f64 15/2 z))) 15/2))) |
(exp.f64 (+.f64 z (-.f64 (*.f64 1/2 (log.f64 (-.f64 15/2 z))) (fma.f64 z (log.f64 (-.f64 15/2 z)) 15/2)))) |
(exp.f64 (-.f64 (fma.f64 1/2 (log.f64 (-.f64 15/2 z)) z) (fma.f64 z (log.f64 (-.f64 15/2 z)) 15/2))) |
(exp.f64 (+.f64 z (+.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z)) -15/2))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (sqrt.f64 2)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2)) (sqrt.f64 2)))) |
(*.f64 (*.f64 (*.f64 (pow.f64 15/2 1/2) (exp.f64 -15/2)) (sqrt.f64 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15/2)) (exp.f64 15/2)))) |
(-.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (sqrt.f64 2)))) (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (sqrt.f64 2) z))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) z)))))) |
(-.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2)) (sqrt.f64 2))) (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2)) (*.f64 z (sqrt.f64 2)))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2)) (*.f64 (*.f64 (log.f64 15/2) z) (sqrt.f64 2)))))) |
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7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 83 | 4 | 87 |
| Fresh | 3 | 1 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 87 | 7 | 94 |
| Status | Error | Program |
|---|---|---|
| 1.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 3) 1/3)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) | |
| ✓ | 1.3b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 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 (+.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))))))))) |
| 2.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15/2)) (exp.f64 15/2)) (+.f64 (*.f64 (sqrt.f64 2) 1106209385320415913103082059/4200000000000000000000000) (*.f64 (*.f64 z (sqrt.f64 2)) 2408637854869972117504576098451/3528000000000000000000000000))) (-.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15/2)) (exp.f64 15/2)) (+.f64 (*.f64 (*.f64 z (*.f64 z (sqrt.f64 2))) 3264229102083425005530891465931403/2963520000000000000000000000000) (*.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 z (*.f64 z (sqrt.f64 2)))) 1106209385320415913103082059/8400000000000000000000000))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15/2)) (exp.f64 15/2)) (+.f64 (*.f64 (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 2))) 1106209385320415913103082059/4200000000000000000000000) (*.f64 (*.f64 (*.f64 z z) (*.f64 (log.f64 15/2) (sqrt.f64 2))) 2408637854869972117504576098451/3528000000000000000000000000)))))) | |
| 1.5b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (neg.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -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))))))))))) | |
| ✓ | 1.2b | (*.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 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
| 2.5b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (neg.f64 (-.f64 15/2 z))))) (cbrt.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (neg.f64 (-.f64 15/2 z)))))) (cbrt.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (neg.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))))))))) | |
| 1.6b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (sqrt.f64 2)))) (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (sqrt.f64 2) z))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) z))))))) |
Compiled 8200 to 6408 computations (21.9% saved)
Total 0.2b remaining (43.6%)
Threshold costs 0.2b (43.6%)
Compiled 13966 to 10870 computations (22.2% saved)
| 1× | egg-herbie |
| 138× | cancel-sign-sub-inv_binary64 |
| 109× | distribute-rgt-neg-in_binary64 |
| 70× | distribute-lft-neg-in_binary64 |
| 64× | sub-neg_binary64 |
| 61× | distribute-lft-neg-out_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 159 |
| 1 | 93 | 159 |
| 2 | 113 | 159 |
| 3 | 124 | 159 |
| 4 | 151 | 159 |
| 5 | 173 | 159 |
| 6 | 187 | 159 |
| 7 | 201 | 159 |
| 8 | 220 | 159 |
| 9 | 240 | 159 |
| 10 | 263 | 159 |
| 11 | 301 | 159 |
| 12 | 345 | 159 |
| 13 | 399 | 159 |
| 14 | 473 | 159 |
| 15 | 578 | 159 |
| 16 | 690 | 159 |
| 17 | 791 | 159 |
| 18 | 867 | 159 |
| 19 | 907 | 159 |
| 20 | 917 | 159 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (-.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))) (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
| Outputs |
|---|
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (-.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))) (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -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)) (exp.f64 (-.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))) (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (*.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (*.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))))))) (+.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)) (exp.f64 (+.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))) (+.f64 z -15/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (*.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (*.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))))))) (+.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)) (exp.f64 (+.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))) (+.f64 z -15/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (+.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 3147848041806007/2500000000000 (-.f64 2 z)) (*.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (*.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))))))))))) |
| 1× | fuel |
Compiled 946 to 796 computations (15.9% saved)
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