Time bar (total: 1.4min)
| 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× | intervals |
| 1.8s | 139× | body | 8192 | exit |
| 145.0ms | 256× | body | 128 | valid |
| 8.0ms | 399× | pre | 128 | true |
| 2.0ms | 4× | body | 128 | invalid |
Compiled 252 to 223 computations (11.5% saved)
| 1× | egg-herbie |
| 388× | associate-+l+_binary64 |
| 296× | associate-+r+_binary64 |
| 271× | distribute-rgt-in_binary64 |
| 266× | distribute-lft-in_binary64 |
| 224× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 156 |
| 1 | 160 | 147 |
| 2 | 606 | 119 |
| 3 | 3454 | 115 |
| 4 | 4863 | 115 |
| 5 | 4787 | 115 |
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 |
| 1.6b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.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 (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 (*.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 | (sqrt.f64 (*.f64 (PI.f64) 2)) |
| ✓ | 2.8b | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) |
| ✓ | 7.8b | (-.f64 (-.f64 1 z) 1) |
4 calls:
| 42.0ms | (*.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)))) |
| 3.0ms | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) |
| 2.0ms | (-.f64 (-.f64 1 z) 1) |
| 0.0ms | (sqrt.f64 (*.f64 (PI.f64) 2)) |
| 1× | rewrite-expression-head |
| 394× | frac-add_binary64 |
| 130× | frac-times_binary64 |
| 101× | associate-*r/_binary64 |
| 93× | *-un-lft-identity_binary64 |
| 58× | flip-+_binary64 |
4 calls:
| 200.0ms | (*.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)))) |
| 29.0ms | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) |
| 7.0ms | (-.f64 (-.f64 1 z) 1) |
| 2.0ms | (sqrt.f64 (*.f64 (PI.f64) 2)) |
| 1× | egg-herbie |
| 891× | fma-def_binary64 |
| 392× | *-commutative_binary64 |
| 250× | associate-*l*_binary64 |
| 240× | distribute-rgt-in_binary64 |
| 224× | distribute-lft-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 833 | 76191 |
| 1 | 3546 | 71260 |
| 2 | 4930 | 71260 |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1234 | 6 | 1240 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 1235 | 7 | 1242 |
| Status | Error | Program |
| ▶ | 0.5b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 1 z))) (fma.f64 3764081837873279/25000000000000000000000 (*.f64 (+.f64 (-.f64 1 z) 6) (*.f64 (+.f64 (-.f64 1 z) 5) (*.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)))))) (*.f64 (+.f64 (-.f64 1 z) 7) (fma.f64 (+.f64 (-.f64 1 z) 6) (fma.f64 -3464277381643003/25000000000000000 (*.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)))) (*.f64 (+.f64 (-.f64 1 z) 5) (fma.f64 2501468655737381/200000000000000 (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2))) (*.f64 (+.f64 (-.f64 1 z) 4) (fma.f64 -883075145810703/5000000000000 (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)) (*.f64 (+.f64 (-.f64 1 z) 3) (fma.f64 (fma.f64 (+.f64 1 (-.f64 1 z)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 -3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (-.f64 1 z) 2) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 7713234287776531/10000000000000)))))))) (*.f64 2496092394504893/250000000000000000000 (*.f64 (+.f64 (-.f64 1 z) 5) (*.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)))))))))) (*.f64 (*.f64 (sqrt.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2)) (exp.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))) (*.f64 (+.f64 (-.f64 1 z) 7) (*.f64 (+.f64 (-.f64 1 z) 6) (*.f64 (+.f64 (-.f64 1 z) 5) (*.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)))))))))) |
| 1.6b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.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 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 1 z))) (fma.f64 3764081837873279/25000000000000000000000 (*.f64 (+.f64 (-.f64 1 z) 6) (*.f64 (+.f64 (-.f64 1 z) 5) (*.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) -9999999999998099/10000000000000000) 99999999999961980000000003613801/100000000000000000000000000000000)) (*.f64 (+.f64 (-.f64 1 z) 2) (+.f64 (-.f64 1 z) 3)))))) (*.f64 (+.f64 (-.f64 1 z) 7) (fma.f64 (+.f64 (-.f64 1 z) 6) (fma.f64 -3464277381643003/25000000000000000 (*.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) -9999999999998099/10000000000000000) 99999999999961980000000003613801/100000000000000000000000000000000)) (*.f64 (+.f64 (-.f64 1 z) 2) (+.f64 (-.f64 1 z) 3)))) (*.f64 (+.f64 (-.f64 1 z) 5) (fma.f64 2501468655737381/200000000000000 (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) -9999999999998099/10000000000000000) 99999999999961980000000003613801/100000000000000000000000000000000)) (*.f64 (+.f64 (-.f64 1 z) 2) (+.f64 (-.f64 1 z) 3))) (*.f64 (+.f64 (-.f64 1 z) 4) (fma.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) -9999999999998099/10000000000000000) 99999999999961980000000003613801/100000000000000000000000000000000)) (*.f64 (+.f64 (-.f64 1 z) 2) -883075145810703/5000000000000) (*.f64 (+.f64 (-.f64 1 z) 3) (fma.f64 (fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) -9999999999998099/10000000000000000) 99999999999961980000000003613801/100000000000000000000000000000000) (*.f64 (+.f64 1 (-.f64 1 z)) 7713234287776531/10000000000000) (*.f64 (fma.f64 (+.f64 1 (-.f64 1 z)) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3)) (*.f64 -3147848041806007/2500000000000 (fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) -9999999999998099/10000000000000000) 99999999999961980000000003613801/100000000000000000000000000000000))) (+.f64 (-.f64 1 z) 2))))))))) (*.f64 2496092394504893/250000000000000000000 (*.f64 (+.f64 (-.f64 1 z) 5) (*.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) -9999999999998099/10000000000000000) 99999999999961980000000003613801/100000000000000000000000000000000)) (*.f64 (+.f64 (-.f64 1 z) 2) (+.f64 (-.f64 1 z) 3)))))))))) (*.f64 (*.f64 (sqrt.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2)) (exp.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))) (*.f64 (+.f64 (-.f64 1 z) 7) (*.f64 (+.f64 (-.f64 1 z) 6) (*.f64 (+.f64 (-.f64 1 z) 5) (*.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) -9999999999998099/10000000000000000) 99999999999961980000000003613801/100000000000000000000000000000000)) (*.f64 (+.f64 (-.f64 1 z) 2) (+.f64 (-.f64 1 z) 3)))))))))) | |
| 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 (fma.f64 3264229102083425005530891465931403/2963520000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 z z) (sqrt.f64 15/2))))) (fma.f64 1106209385320415913103082059/8400000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 z z) (sqrt.f64 15/2))) (pow.f64 (log.f64 15/2) 2)))) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))))))))) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 z (sqrt.f64 15/2)) (log.f64 15/2))))) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) (*.f64 (*.f64 z z) (sqrt.f64 15/2)))))) (*.f64 1479421971200822750497987168891/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (log.f64 15/2) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 z z) (sqrt.f64 15/2))))))))))) | |
| 0.9b | (*.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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (/.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))))) | |
| 2.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (pow.f64 (+.f64 (+.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))))) | |
| 1.6b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.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 (fma.f64 (+.f64 1 (-.f64 1 z)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 -3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (/.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 234364 to 200535 computations (14.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 1.0b | (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 1 z))) |
| ✓ | 1.0b | (sqrt.f64 (*.f64 2 (PI.f64))) |
| ✓ | 2.6b | (fma.f64 (+.f64 1 (-.f64 1 z)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 -3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) |
| ✓ | 7.8b | (+.f64 (-.f64 1 z) -1) |
4 calls:
| 18.0ms | (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 1 z))) |
| 3.0ms | (fma.f64 (+.f64 1 (-.f64 1 z)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 -3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) |
| 2.0ms | (+.f64 (-.f64 1 z) -1) |
| 0.0ms | (sqrt.f64 (*.f64 2 (PI.f64))) |
| 1× | rewrite-expression-head |
| 39× | *-un-lft-identity_binary64 |
| 31× | add-sqr-sqrt_binary64 |
| 23× | associate-*r*_binary64 |
| 22× | add-cube-cbrt_binary64 |
| 18× | prod-diff_binary64 |
4 calls:
| 20.0ms | (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 1 z))) |
| 8.0ms | (+.f64 (-.f64 1 z) -1) |
| 2.0ms | (sqrt.f64 (*.f64 2 (PI.f64))) |
| 0.0ms | (fma.f64 (+.f64 1 (-.f64 1 z)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 -3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) |
| 1× | egg-herbie |
| 294× | cancel-sign-sub-inv_binary64 |
| 261× | distribute-rgt-in_binary64 |
| 243× | associate-*r*_binary64 |
| 210× | associate-*l*_binary64 |
| 198× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 259 | 2712 |
| 1 | 602 | 2281 |
| 2 | 2003 | 2122 |
| 3 | 4494 | 2122 |
| 4 | 4818 | 2122 |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 293 | 2 | 295 |
| Fresh | 1 | 5 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 295 | 7 | 302 |
| Status | Error | Program |
| 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 1 z))) (fma.f64 3764081837873279/25000000000000000000000 (*.f64 (+.f64 (-.f64 1 z) 6) (*.f64 (+.f64 (-.f64 1 z) 5) (*.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)))))) (*.f64 (+.f64 (-.f64 1 z) 7) (fma.f64 (+.f64 (-.f64 1 z) 6) (fma.f64 -3464277381643003/25000000000000000 (*.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)))) (*.f64 (+.f64 (-.f64 1 z) 5) (fma.f64 2501468655737381/200000000000000 (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2))) (*.f64 (+.f64 (-.f64 1 z) 4) (fma.f64 -883075145810703/5000000000000 (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)) (*.f64 (+.f64 (-.f64 1 z) 3) (fma.f64 (fma.f64 (+.f64 1 (-.f64 1 z)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 -3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (-.f64 1 z) 2) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 7713234287776531/10000000000000)))))))) (*.f64 2496092394504893/250000000000000000000 (*.f64 (+.f64 (-.f64 1 z) 5) (*.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)))))))))) (*.f64 (*.f64 (sqrt.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2)) (exp.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))) (*.f64 (+.f64 (-.f64 1 z) 7) (*.f64 (+.f64 (-.f64 1 z) 6) (*.f64 (+.f64 (-.f64 1 z) 5) (*.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)))))))))) | |
| 1.6b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.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 (fma.f64 3264229102083425005530891465931403/2963520000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 z z) (sqrt.f64 15/2))))) (fma.f64 1106209385320415913103082059/8400000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 z z) (sqrt.f64 15/2))) (pow.f64 (log.f64 15/2) 2)))) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))))))))) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 z (sqrt.f64 15/2)) (log.f64 15/2))))) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) (*.f64 (*.f64 z z) (sqrt.f64 15/2)))))) (*.f64 1479421971200822750497987168891/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (log.f64 15/2) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 z z) (sqrt.f64 15/2))))))))))) | |
| 0.9b | (*.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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (/.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))))) | |
| 2.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (pow.f64 (+.f64 (+.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))))) | |
| 1.6b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.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 (fma.f64 (+.f64 1 (-.f64 1 z)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 -3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))) | |
| ▶ | 0.5b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 1 z))) (fma.f64 3764081837873279/25000000000000000000000 (*.f64 (+.f64 (-.f64 1 z) 6) (*.f64 (+.f64 (-.f64 1 z) 5) (*.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)))))) (*.f64 (+.f64 (-.f64 1 z) 7) (fma.f64 (+.f64 (-.f64 1 z) 6) (fma.f64 -3464277381643003/25000000000000000 (*.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)))) (*.f64 (+.f64 (-.f64 1 z) 5) (fma.f64 2501468655737381/200000000000000 (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2))) (*.f64 (+.f64 (-.f64 1 z) 4) (fma.f64 -883075145810703/5000000000000 (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)) (*.f64 (+.f64 (-.f64 1 z) 3) (fma.f64 (fma.f64 (+.f64 1 (-.f64 1 z)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 -3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (-.f64 1 z) 2) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 7713234287776531/10000000000000)))))))) (*.f64 2496092394504893/250000000000000000000 (*.f64 (+.f64 (-.f64 1 z) 5) (*.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)))))))))) (*.f64 (*.f64 (sqrt.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (*.f64 (+.f64 (-.f64 1 z) 7) (*.f64 (+.f64 (-.f64 1 z) 6) (*.f64 (+.f64 (-.f64 1 z) 5) (*.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)))))))))) |
Compiled 104084 to 86103 computations (17.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 1.0b | (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 1 z))) | |
| 1.0b | (sqrt.f64 (*.f64 2 (PI.f64))) | |
| 2.6b | (fma.f64 (+.f64 1 (-.f64 1 z)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 -3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) | |
| 7.8b | (+.f64 (-.f64 1 z) -1) |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 235 | 2 | 237 |
| Fresh | 2 | 4 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 237 | 7 | 244 |
| Status | Error | Program |
| 1.6b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.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 (fma.f64 (+.f64 1 (-.f64 1 z)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 -3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (/.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))))) | |
| 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 1 z))) (fma.f64 3764081837873279/25000000000000000000000 (*.f64 (+.f64 (-.f64 1 z) 6) (*.f64 (+.f64 (-.f64 1 z) 5) (*.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)))))) (*.f64 (+.f64 (-.f64 1 z) 7) (fma.f64 (+.f64 (-.f64 1 z) 6) (fma.f64 -3464277381643003/25000000000000000 (*.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)))) (*.f64 (+.f64 (-.f64 1 z) 5) (fma.f64 2501468655737381/200000000000000 (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2))) (*.f64 (+.f64 (-.f64 1 z) 4) (fma.f64 -883075145810703/5000000000000 (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)) (*.f64 (+.f64 (-.f64 1 z) 3) (fma.f64 (fma.f64 (+.f64 1 (-.f64 1 z)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 -3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (-.f64 1 z) 2) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 7713234287776531/10000000000000)))))))) (*.f64 2496092394504893/250000000000000000000 (*.f64 (+.f64 (-.f64 1 z) 5) (*.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)))))))))) (*.f64 (*.f64 (sqrt.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (*.f64 (+.f64 (-.f64 1 z) 7) (*.f64 (+.f64 (-.f64 1 z) 6) (*.f64 (+.f64 (-.f64 1 z) 5) (*.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)))))))))) | |
| ▶ | 0.5b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (/.f64 (*.f64 (expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))) (fma.f64 3764081837873279/25000000000000000000000 (*.f64 (+.f64 (-.f64 1 z) 6) (*.f64 (+.f64 (-.f64 1 z) 5) (*.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)))))) (*.f64 (+.f64 (-.f64 1 z) 7) (fma.f64 (+.f64 (-.f64 1 z) 6) (fma.f64 -3464277381643003/25000000000000000 (*.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)))) (*.f64 (+.f64 (-.f64 1 z) 5) (fma.f64 2501468655737381/200000000000000 (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2))) (*.f64 (+.f64 (-.f64 1 z) 4) (fma.f64 -883075145810703/5000000000000 (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)) (*.f64 (+.f64 (-.f64 1 z) 3) (fma.f64 (fma.f64 (+.f64 1 (-.f64 1 z)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 -3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (-.f64 1 z) 2) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 7713234287776531/10000000000000)))))))) (*.f64 2496092394504893/250000000000000000000 (*.f64 (+.f64 (-.f64 1 z) 5) (*.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)))))))))) (*.f64 (*.f64 (sqrt.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (*.f64 (+.f64 (-.f64 1 z) 7) (*.f64 (+.f64 (-.f64 1 z) 6) (*.f64 (+.f64 (-.f64 1 z) 5) (*.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)))))))))) |
| 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 (fma.f64 3264229102083425005530891465931403/2963520000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 z z) (sqrt.f64 15/2))))) (fma.f64 1106209385320415913103082059/8400000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 z z) (sqrt.f64 15/2))) (pow.f64 (log.f64 15/2) 2)))) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))))))))) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 z (sqrt.f64 15/2)) (log.f64 15/2))))) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) (*.f64 (*.f64 z z) (sqrt.f64 15/2)))))) (*.f64 1479421971200822750497987168891/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (log.f64 15/2) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 z z) (sqrt.f64 15/2))))))))))) | |
| 0.9b | (*.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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (/.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))))) | |
| 2.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))) | |
| ✓ | 0.5b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 1 z))) (fma.f64 3764081837873279/25000000000000000000000 (*.f64 (+.f64 (-.f64 1 z) 6) (*.f64 (+.f64 (-.f64 1 z) 5) (*.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)))))) (*.f64 (+.f64 (-.f64 1 z) 7) (fma.f64 (+.f64 (-.f64 1 z) 6) (fma.f64 -3464277381643003/25000000000000000 (*.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)))) (*.f64 (+.f64 (-.f64 1 z) 5) (fma.f64 2501468655737381/200000000000000 (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2))) (*.f64 (+.f64 (-.f64 1 z) 4) (fma.f64 -883075145810703/5000000000000 (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)) (*.f64 (+.f64 (-.f64 1 z) 3) (fma.f64 (fma.f64 (+.f64 1 (-.f64 1 z)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 -3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (-.f64 1 z) 2) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 7713234287776531/10000000000000)))))))) (*.f64 2496092394504893/250000000000000000000 (*.f64 (+.f64 (-.f64 1 z) 5) (*.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)))))))))) (*.f64 (*.f64 (sqrt.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (*.f64 (+.f64 (-.f64 1 z) 7) (*.f64 (+.f64 (-.f64 1 z) 6) (*.f64 (+.f64 (-.f64 1 z) 5) (*.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)))))))))) |
Compiled 83624 to 68873 computations (17.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 1.0b | (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) |
| 1.0b | (sqrt.f64 (*.f64 2 (PI.f64))) | |
| 2.6b | (fma.f64 (+.f64 1 (-.f64 1 z)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 -3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) | |
| 7.8b | (+.f64 (-.f64 1 z) -1) |
1 calls:
| 18.0ms | (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) |
| 1× | rewrite-expression-head |
| 22× | associate-*l*_binary64 |
| 18× | add-sqr-sqrt_binary64 |
| 13× | unpow-prod-up_binary64 |
| 13× | *-un-lft-identity_binary64 |
| 11× | add-cube-cbrt_binary64 |
1 calls:
| 11.0ms | (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) |
| 1× | egg-herbie |
| 740× | fma-def_binary64 |
| 469× | *-commutative_binary64 |
| 383× | sub-neg_binary64 |
| 274× | unswap-sqr_binary64 |
| 242× | cancel-sign-sub-inv_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 158 | 1631 |
| 1 | 398 | 1458 |
| 2 | 1369 | 1279 |
| 3 | 3991 | 1279 |
| 4 | 4799 | 1279 |
| 5 | 4947 | 1279 |
| 6 | 4871 | 1279 |
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 185 | 0 | 185 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 185 | 7 | 192 |
| Status | Error | Program |
| 1.6b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.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 (fma.f64 (+.f64 1 (-.f64 1 z)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 -3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (/.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))))) | |
| 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 1 z))) (fma.f64 3764081837873279/25000000000000000000000 (*.f64 (+.f64 (-.f64 1 z) 6) (*.f64 (+.f64 (-.f64 1 z) 5) (*.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)))))) (*.f64 (+.f64 (-.f64 1 z) 7) (fma.f64 (+.f64 (-.f64 1 z) 6) (fma.f64 -3464277381643003/25000000000000000 (*.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)))) (*.f64 (+.f64 (-.f64 1 z) 5) (fma.f64 2501468655737381/200000000000000 (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2))) (*.f64 (+.f64 (-.f64 1 z) 4) (fma.f64 -883075145810703/5000000000000 (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)) (*.f64 (+.f64 (-.f64 1 z) 3) (fma.f64 (fma.f64 (+.f64 1 (-.f64 1 z)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 -3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (-.f64 1 z) 2) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 7713234287776531/10000000000000)))))))) (*.f64 2496092394504893/250000000000000000000 (*.f64 (+.f64 (-.f64 1 z) 5) (*.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)))))))))) (*.f64 (*.f64 (sqrt.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (*.f64 (+.f64 (-.f64 1 z) 7) (*.f64 (+.f64 (-.f64 1 z) 6) (*.f64 (+.f64 (-.f64 1 z) 5) (*.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)))))))))) | |
| ✓ | 0.5b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (/.f64 (*.f64 (expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))) (fma.f64 3764081837873279/25000000000000000000000 (*.f64 (+.f64 (-.f64 1 z) 6) (*.f64 (+.f64 (-.f64 1 z) 5) (*.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)))))) (*.f64 (+.f64 (-.f64 1 z) 7) (fma.f64 (+.f64 (-.f64 1 z) 6) (fma.f64 -3464277381643003/25000000000000000 (*.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)))) (*.f64 (+.f64 (-.f64 1 z) 5) (fma.f64 2501468655737381/200000000000000 (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2))) (*.f64 (+.f64 (-.f64 1 z) 4) (fma.f64 -883075145810703/5000000000000 (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)) (*.f64 (+.f64 (-.f64 1 z) 3) (fma.f64 (fma.f64 (+.f64 1 (-.f64 1 z)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 -3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (-.f64 1 z) 2) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 7713234287776531/10000000000000)))))))) (*.f64 2496092394504893/250000000000000000000 (*.f64 (+.f64 (-.f64 1 z) 5) (*.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)))))))))) (*.f64 (*.f64 (sqrt.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (*.f64 (+.f64 (-.f64 1 z) 7) (*.f64 (+.f64 (-.f64 1 z) 6) (*.f64 (+.f64 (-.f64 1 z) 5) (*.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)))))))))) |
| 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 (fma.f64 3264229102083425005530891465931403/2963520000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 z z) (sqrt.f64 15/2))))) (fma.f64 1106209385320415913103082059/8400000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 z z) (sqrt.f64 15/2))) (pow.f64 (log.f64 15/2) 2)))) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))))))))) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 z (sqrt.f64 15/2)) (log.f64 15/2))))) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) (*.f64 (*.f64 z z) (sqrt.f64 15/2)))))) (*.f64 1479421971200822750497987168891/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (log.f64 15/2) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 z z) (sqrt.f64 15/2))))))))))) | |
| 0.9b | (*.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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (/.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))))) | |
| 2.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))) | |
| ✓ | 0.5b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 1 z))) (fma.f64 3764081837873279/25000000000000000000000 (*.f64 (+.f64 (-.f64 1 z) 6) (*.f64 (+.f64 (-.f64 1 z) 5) (*.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)))))) (*.f64 (+.f64 (-.f64 1 z) 7) (fma.f64 (+.f64 (-.f64 1 z) 6) (fma.f64 -3464277381643003/25000000000000000 (*.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)))) (*.f64 (+.f64 (-.f64 1 z) 5) (fma.f64 2501468655737381/200000000000000 (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2))) (*.f64 (+.f64 (-.f64 1 z) 4) (fma.f64 -883075145810703/5000000000000 (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)) (*.f64 (+.f64 (-.f64 1 z) 3) (fma.f64 (fma.f64 (+.f64 1 (-.f64 1 z)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 -3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (-.f64 1 z) 2) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 7713234287776531/10000000000000)))))))) (*.f64 2496092394504893/250000000000000000000 (*.f64 (+.f64 (-.f64 1 z) 5) (*.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)))))))))) (*.f64 (*.f64 (sqrt.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (*.f64 (+.f64 (-.f64 1 z) 7) (*.f64 (+.f64 (-.f64 1 z) 6) (*.f64 (+.f64 (-.f64 1 z) 5) (*.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (-.f64 1 z) 2)))))))))) |
Compiled 64298 to 52934 computations (17.7% saved)
Total 0.2b remaining (41.9%)
Threshold costs 0.2b (41.9%)
Compiled 155486 to 135768 computations (12.7% saved)
| 1× | egg-herbie |
| 24× | *-commutative_binary64 |
| 16× | +-commutative_binary64 |
| 7× | sub-neg_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 495 |
| 1 | 117 | 495 |
| 2 | 129 | 495 |
| 3 | 134 | 495 |
| 4 | 136 | 495 |
| 5 | 134 | 495 |
Compiled 330 to 278 computations (15.8% saved)
| 1× | intervals |
| 51.5s | 3855× | body | 8192 | exit |
| 3.4s | 8000× | body | 128 | valid |
| 247.0ms | 11941× | pre | 128 | true |
| 67.0ms | 86× | body | 128 | invalid |
Compiled 1993 to 1694 computations (15% saved)
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