Time bar (total: 1.0min)
| 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)
| 50.4s | 3898× | body | 8192 | exit |
| 4.0s | 8256× | body | 128 | valid |
| 44.0ms | 93× | body | 128 | invalid |
Compiled 378 to 334 computations (11.6% 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 |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
| ▶ | 0.5b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
| 1.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))) |
Compiled 596 to 508 computations (14.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.9b | (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
| ✓ | 1.0b | (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
| ✓ | 1.0b | (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
| ✓ | 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) |
4 calls:
| 17.0ms | (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
| 3.0ms | (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
| 2.0ms | (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
| 0.0ms | (sqrt.f64 (*.f64 (PI.f64) 2)) |
| 1× | batch-egg-rewrite |
| 252× | add-sqr-sqrt_binary64 |
| 248× | log1p-expm1-u_binary64 |
| 248× | expm1-log1p-u_binary64 |
| 243× | add-cbrt-cube_binary64 |
| 242× | add-log-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 48 |
| 1 | 520 | 48 |
| 1× | node limit |
4 calls:
| 38.0ms | (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
| 38.0ms | (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
| 38.0ms | (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
| 38.0ms | (sqrt.f64 (*.f64 (PI.f64) 2)) |
| 1× | egg-herbie |
| 378× | associate-*r*_binary64 |
| 369× | fma-def_binary64 |
| 340× | associate-+l+_binary64 |
| 269× | associate-*l*_binary64 |
| 218× | associate-+r+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 132 | 737 |
| 1 | 387 | 707 |
| 2 | 1216 | 701 |
| 1× | node limit |
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 112 | 5 | 117 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 113 | 6 | 119 |
| Status | Error | Program |
| 1.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 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 (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 2) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) | |
| 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) | |
| 1.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))) | |
| ▶ | 1.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 1/2 (*.f64 (*.f64 z (*.f64 z (sqrt.f64 15/2))) (/.f64 (pow.f64 (log.f64 15/2) 2) (exp.f64 15/2))) (fma.f64 892/3375 (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (pow.f64 z 3)) (fma.f64 14/15 (/.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (fma.f64 127/225 (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (*.f64 z z)) (fma.f64 7/15 (*.f64 (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (pow.f64 z 3)) (pow.f64 (log.f64 15/2) 2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (fma.f64 14/15 (*.f64 (*.f64 z (*.f64 z (sqrt.f64 15/2))) (/.f64 (log.f64 15/2) (exp.f64 15/2))) (fma.f64 127/225 (*.f64 (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)) (/.f64 (log.f64 15/2) (exp.f64 15/2))) (fma.f64 1/6 (*.f64 (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)) (/.f64 (pow.f64 (log.f64 15/2) 3) (exp.f64 15/2))) (*.f64 (*.f64 z (sqrt.f64 15/2)) (/.f64 (log.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 (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))))))))) | |
| 2.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3) (/.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 10776 to 8402 computations (22% 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) |
3 calls:
| 0.0ms | (pow.f64 (log.f64 15/2) 2) |
| 0.0ms | (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) |
| 0.0ms | (pow.f64 (log.f64 15/2) 3) |
| 1× | batch-egg-rewrite |
| 775× | log1p-expm1-u_binary64 |
| 775× | expm1-log1p-u_binary64 |
| 151× | log1p-udef_binary64 |
| 90× | add-sqr-sqrt_binary64 |
| 88× | add-log-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 20 |
| 1 | 212 | 20 |
| 2 | 2238 | 20 |
| 1× | node limit |
3 calls:
| 43.0ms | (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) |
| 43.0ms | (pow.f64 (log.f64 15/2) 3) |
| 43.0ms | (pow.f64 (log.f64 15/2) 2) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 208 | 2 | 210 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 208 | 8 | 216 |
| Status | Error | Program |
| 2.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 1/2 (*.f64 (*.f64 z (*.f64 z (sqrt.f64 15/2))) (/.f64 (pow.f64 (log.f64 15/2) 2) (exp.f64 15/2))) (fma.f64 892/3375 (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (pow.f64 z 3)) (fma.f64 14/15 (/.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (fma.f64 127/225 (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (*.f64 z z)) (fma.f64 7/15 (*.f64 (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (pow.f64 z 3)) (pow.f64 (log.f64 15/2) 2)) (pow.f64 (pow.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2)) 3) 1/3)))))) (fma.f64 14/15 (*.f64 (*.f64 z (*.f64 z (sqrt.f64 15/2))) (/.f64 (log.f64 15/2) (exp.f64 15/2))) (fma.f64 127/225 (*.f64 (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)) (/.f64 (log.f64 15/2) (exp.f64 15/2))) (fma.f64 1/6 (*.f64 (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)) (/.f64 (pow.f64 (log.f64 15/2) 3) (exp.f64 15/2))) (*.f64 (*.f64 z (sqrt.f64 15/2)) (/.f64 (log.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))))))))) | |
| ▶ | 1.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 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 (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 2) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
| 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) | |
| 1.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))) | |
| ✓ | 1.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 1/2 (*.f64 (*.f64 z (*.f64 z (sqrt.f64 15/2))) (/.f64 (pow.f64 (log.f64 15/2) 2) (exp.f64 15/2))) (fma.f64 892/3375 (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (pow.f64 z 3)) (fma.f64 14/15 (/.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (fma.f64 127/225 (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (*.f64 z z)) (fma.f64 7/15 (*.f64 (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (pow.f64 z 3)) (pow.f64 (log.f64 15/2) 2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (fma.f64 14/15 (*.f64 (*.f64 z (*.f64 z (sqrt.f64 15/2))) (/.f64 (log.f64 15/2) (exp.f64 15/2))) (fma.f64 127/225 (*.f64 (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)) (/.f64 (log.f64 15/2) (exp.f64 15/2))) (fma.f64 1/6 (*.f64 (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)) (/.f64 (pow.f64 (log.f64 15/2) 3) (exp.f64 15/2))) (*.f64 (*.f64 z (sqrt.f64 15/2)) (/.f64 (log.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 (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))))))))) | |
| 1.8b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (-.f64 (fma.f64 1/2 (*.f64 (*.f64 z (*.f64 z (sqrt.f64 15/2))) (/.f64 (pow.f64 (log.f64 15/2) 2) (exp.f64 15/2))) (fma.f64 892/3375 (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (pow.f64 z 3)) (fma.f64 14/15 (/.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (fma.f64 127/225 (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (*.f64 z z)) (fma.f64 7/15 (*.f64 (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (pow.f64 z 3)) (pow.f64 (log.f64 15/2) 2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (fma.f64 14/15 (*.f64 (*.f64 z (*.f64 z (sqrt.f64 15/2))) (/.f64 (log.f64 15/2) (exp.f64 15/2))) (fma.f64 127/225 (*.f64 (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)) (/.f64 (log.f64 15/2) (exp.f64 15/2))) (fma.f64 1/6 (*.f64 (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)) (/.f64 (pow.f64 (log.f64 15/2) 3) (exp.f64 15/2))) (*.f64 (*.f64 z (sqrt.f64 15/2)) (/.f64 (log.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))))))))) | |
| 2.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3) (/.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 41526 to 35388 computations (14.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.9b | (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) | |
| 1.0b | (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) | |
| 1.0b | (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) | |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 184 | 4 | 188 |
| Fresh | 3 | 3 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 188 | 8 | 196 |
| Status | Error | Program |
| 2.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 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 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 2) (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 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 1/2 (*.f64 (*.f64 z (*.f64 z (sqrt.f64 15/2))) (/.f64 (pow.f64 (log.f64 15/2) 2) (exp.f64 15/2))) (fma.f64 892/3375 (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (pow.f64 z 3)) (fma.f64 14/15 (/.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (fma.f64 127/225 (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (*.f64 z z)) (fma.f64 7/15 (*.f64 (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (pow.f64 z 3)) (pow.f64 (log.f64 15/2) 2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (fma.f64 14/15 (*.f64 (*.f64 z (*.f64 z (sqrt.f64 15/2))) (/.f64 (log.f64 15/2) (exp.f64 15/2))) (fma.f64 127/225 (*.f64 (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)) (/.f64 (log.f64 15/2) (exp.f64 15/2))) (fma.f64 1/6 (*.f64 (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)) (/.f64 (pow.f64 (log.f64 15/2) 3) (exp.f64 15/2))) (*.f64 (*.f64 z (sqrt.f64 15/2)) (/.f64 (log.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))))))))) |
| 2.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 1/2 (*.f64 (*.f64 z (*.f64 z (sqrt.f64 15/2))) (/.f64 (pow.f64 (log.f64 15/2) 2) (exp.f64 15/2))) (fma.f64 892/3375 (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (pow.f64 z 3)) (fma.f64 14/15 (/.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (fma.f64 127/225 (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (*.f64 z z)) (fma.f64 7/15 (*.f64 (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (pow.f64 z 3)) (pow.f64 (log.f64 15/2) 2)) (pow.f64 (pow.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2)) 3) 1/3)))))) (fma.f64 14/15 (*.f64 (*.f64 z (*.f64 z (sqrt.f64 15/2))) (/.f64 (log.f64 15/2) (exp.f64 15/2))) (fma.f64 127/225 (*.f64 (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)) (/.f64 (log.f64 15/2) (exp.f64 15/2))) (fma.f64 1/6 (*.f64 (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)) (/.f64 (pow.f64 (log.f64 15/2) 3) (exp.f64 15/2))) (*.f64 (*.f64 z (sqrt.f64 15/2)) (/.f64 (log.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))))))))) | |
| ▶ | 1.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 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 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 3) 1/3)) 2) (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))))))))) |
| 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.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 (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))))))))) | |
| 2.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3) (/.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 (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 2) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) | |
| 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 1/2 (*.f64 (*.f64 z (*.f64 z (sqrt.f64 15/2))) (/.f64 (pow.f64 (log.f64 15/2) 2) (exp.f64 15/2))) (fma.f64 892/3375 (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (pow.f64 z 3)) (fma.f64 14/15 (/.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (fma.f64 127/225 (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (*.f64 z z)) (fma.f64 7/15 (*.f64 (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (pow.f64 z 3)) (pow.f64 (log.f64 15/2) 2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (fma.f64 14/15 (*.f64 (*.f64 z (*.f64 z (sqrt.f64 15/2))) (/.f64 (log.f64 15/2) (exp.f64 15/2))) (fma.f64 127/225 (*.f64 (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)) (/.f64 (log.f64 15/2) (exp.f64 15/2))) (fma.f64 1/6 (*.f64 (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)) (/.f64 (pow.f64 (log.f64 15/2) 3) (exp.f64 15/2))) (*.f64 (*.f64 z (sqrt.f64 15/2)) (/.f64 (log.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 (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 2) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (+.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 19959 to 15796 computations (20.9% 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 | (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 3) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| ✓ | 2.0b | (pow.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 3) 1/3) |
2 calls:
| 29.0ms | (pow.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 3) 1/3) |
| 4.0ms | (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 3) |
| 1× | batch-egg-rewrite |
| 273× | expm1-udef_binary64 |
| 273× | log1p-udef_binary64 |
| 156× | log1p-expm1-u_binary64 |
| 156× | expm1-log1p-u_binary64 |
| 152× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 35 |
| 1 | 330 | 35 |
| 2 | 4424 | 35 |
| 1× | node limit |
2 calls:
| 67.0ms | (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 3) |
| 67.0ms | (pow.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 3) 1/3) |
| 1× | egg-herbie |
| 569× | fma-def_binary64 |
| 431× | associate-/r*_binary64 |
| 284× | times-frac_binary64 |
| 192× | cancel-sign-sub-inv_binary64 |
| 169× | associate-*r/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 172 | 884 |
| 1 | 497 | 828 |
| 2 | 1699 | 811 |
| 1× | node limit |
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 231 | 0 | 231 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 231 | 8 | 239 |
| Status | Error | Program |
| 2.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 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 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 2) (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 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 1/2 (*.f64 (*.f64 z (*.f64 z (sqrt.f64 15/2))) (/.f64 (pow.f64 (log.f64 15/2) 2) (exp.f64 15/2))) (fma.f64 892/3375 (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (pow.f64 z 3)) (fma.f64 14/15 (/.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (fma.f64 127/225 (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (*.f64 z z)) (fma.f64 7/15 (*.f64 (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (pow.f64 z 3)) (pow.f64 (log.f64 15/2) 2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (fma.f64 14/15 (*.f64 (*.f64 z (*.f64 z (sqrt.f64 15/2))) (/.f64 (log.f64 15/2) (exp.f64 15/2))) (fma.f64 127/225 (*.f64 (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)) (/.f64 (log.f64 15/2) (exp.f64 15/2))) (fma.f64 1/6 (*.f64 (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)) (/.f64 (pow.f64 (log.f64 15/2) 3) (exp.f64 15/2))) (*.f64 (*.f64 z (sqrt.f64 15/2)) (/.f64 (log.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))))))))) |
| 2.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 1/2 (*.f64 (*.f64 z (*.f64 z (sqrt.f64 15/2))) (/.f64 (pow.f64 (log.f64 15/2) 2) (exp.f64 15/2))) (fma.f64 892/3375 (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (pow.f64 z 3)) (fma.f64 14/15 (/.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (fma.f64 127/225 (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (*.f64 z z)) (fma.f64 7/15 (*.f64 (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (pow.f64 z 3)) (pow.f64 (log.f64 15/2) 2)) (pow.f64 (pow.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2)) 3) 1/3)))))) (fma.f64 14/15 (*.f64 (*.f64 z (*.f64 z (sqrt.f64 15/2))) (/.f64 (log.f64 15/2) (exp.f64 15/2))) (fma.f64 127/225 (*.f64 (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)) (/.f64 (log.f64 15/2) (exp.f64 15/2))) (fma.f64 1/6 (*.f64 (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)) (/.f64 (pow.f64 (log.f64 15/2) 3) (exp.f64 15/2))) (*.f64 (*.f64 z (sqrt.f64 15/2)) (/.f64 (log.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))))))))) | |
| ✓ | 1.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 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 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 3) 1/3)) 2) (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))))))))) |
| 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.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 (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))))))))) | |
| 2.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3) (/.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 (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 2) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) | |
| 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 1/2 (*.f64 (*.f64 z (*.f64 z (sqrt.f64 15/2))) (/.f64 (pow.f64 (log.f64 15/2) 2) (exp.f64 15/2))) (fma.f64 892/3375 (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (pow.f64 z 3)) (fma.f64 14/15 (/.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (fma.f64 127/225 (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (*.f64 z z)) (fma.f64 7/15 (*.f64 (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (pow.f64 z 3)) (pow.f64 (log.f64 15/2) 2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (fma.f64 14/15 (*.f64 (*.f64 z (*.f64 z (sqrt.f64 15/2))) (/.f64 (log.f64 15/2) (exp.f64 15/2))) (fma.f64 127/225 (*.f64 (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)) (/.f64 (log.f64 15/2) (exp.f64 15/2))) (fma.f64 1/6 (*.f64 (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)) (/.f64 (pow.f64 (log.f64 15/2) 3) (exp.f64 15/2))) (*.f64 (*.f64 z (sqrt.f64 15/2)) (/.f64 (log.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 (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 2) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (+.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 24688 to 19645 computations (20.4% saved)
Total 0.2b remaining (43.2%)
Threshold costs 0.2b (43.2%)
Compiled 38002 to 31560 computations (17% saved)
| 1× | egg-herbie |
| 19× | +-commutative_binary64 |
| 11× | sub-neg_binary64 |
| 6× | *-commutative_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 120 |
| 1 | 87 | 120 |
| 2 | 100 | 120 |
| 3 | 102 | 120 |
| 4 | 103 | 120 |
| 1× | saturated |
Compiled 1172 to 997 computations (14.9% saved)
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