Time bar (total: 55.6s)
| 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)
| 46.4s | 3858× | body | 8192 | exit |
| 3.9s | 8256× | body | 128 | valid |
| 97.0ms | 194× | body | 128 | invalid |
| 2× | egg-herbie |
| 336× | rule-+a-bc-+b-ac_binary64 |
| 236× | rule-a-*a1_binary64 |
| 236× | rule-a--a0_binary64 |
| 236× | rule-a-+a0_binary64 |
| 235× | rule-a-/a1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 156 |
| 1 | 390 | 119 |
| 2 | 1320 | 119 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))) |
| Outputs |
|---|
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 1 (-.f64 0 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 0 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 0 z) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 0 z) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 0 z) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 0 z) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 0 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 0 z) 8))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.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 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
Compiled 124 to 110 computations (11.3% saved)
| 1× | egg-herbie |
| 336× | rule-+a-bc-+b-ac_binary64 |
| 236× | rule-a-*a1_binary64 |
| 236× | rule-a--a0_binary64 |
| 236× | rule-a-+a0_binary64 |
| 235× | rule-a-/a1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 156 |
| 1 | 390 | 119 |
| 2 | 1320 | 119 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))) |
| Outputs |
|---|
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 1 (-.f64 0 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 0 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 0 z) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 0 z) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 0 z) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 0 z) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 0 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 0 z) 8))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.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 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| 1.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))) | |
| ▶ | 0.5b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.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 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
Compiled 602 to 511 computations (15.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) |
| ✓ | 1.0b | (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.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 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
| ✓ | 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) |
| ✓ | 2.8b | (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | z | @ | 0 | (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.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 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
| 3.0ms | z | @ | inf | (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.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 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
| 2.0ms | z | @ | -inf | (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.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 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
| 1.0ms | z | @ | inf | (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) |
| 1.0ms | z | @ | 0 | (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) |
| 1× | batch-egg-rewrite |
| 655× | rules-30_binary64 |
| 655× | rules-31_binary64 |
| 655× | rules-32_binary64 |
| 655× | rules-33_binary64 |
| 620× | rules-27_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 148 |
| 1 | 1619 | 148 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) |
(sqrt.f64 (*.f64 (PI.f64) 2)) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.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 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 395× | fma-neg_binary64 |
| 317× | rule-*ab-*ba_binary64 |
| 263× | rule-a-*a1_binary64 |
| 263× | rule-a--a0_binary64 |
| 263× | rule-a-+a0_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 200 | 1895 |
| 1 | 1419 | 1853 |
| 1× | node limit |
| Inputs |
|---|
479507597606835099/10000000000000000 |
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) |
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))) |
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)))) |
9999999999998099/10000000000000000 |
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))) |
9999999999998099/10000000000000000 |
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)) (sqrt.f64 (PI.f64)))) |
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(*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (sqrt.f64 (PI.f64)))) |
(+.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) z)) (sqrt.f64 (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (sqrt.f64 (PI.f64))))) |
(+.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (sqrt.f64 (PI.f64)))))) |
(+.f64 (*.f64 -398308844029173303716389/6250000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 z 3))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (sqrt.f64 (PI.f64))))))) |
(*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (+.f64 (*.f64 -1 z) 15/2))) (sqrt.f64 (PI.f64)))) |
(+.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (*.f64 (exp.f64 (+.f64 (*.f64 -1 z) 15/2)) z)) (sqrt.f64 (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (+.f64 (*.f64 -1 z) 15/2))) (sqrt.f64 (PI.f64))))) |
(+.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (*.f64 (exp.f64 (+.f64 (*.f64 -1 z) 15/2)) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (*.f64 (exp.f64 (+.f64 (*.f64 -1 z) 15/2)) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (+.f64 (*.f64 -1 z) 15/2))) (sqrt.f64 (PI.f64)))))) |
(+.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (*.f64 (exp.f64 (+.f64 (*.f64 -1 z) 15/2)) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (*.f64 (exp.f64 (+.f64 (*.f64 -1 z) 15/2)) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (+.f64 (*.f64 -1 z) 15/2))) (sqrt.f64 (PI.f64)))) (*.f64 -398308844029173303716389/6250000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (*.f64 (exp.f64 (+.f64 (*.f64 -1 z) 15/2)) (pow.f64 z 3))) (sqrt.f64 (PI.f64))))))) |
371756020978964147/150000000000000000 |
(+.f64 371756020978964147/150000000000000000 (*.f64 446800080651085577/900000000000000000 z)) |
(+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (*.f64 446800080651085577/900000000000000000 z))) |
(+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (+.f64 (*.f64 446800080651085577/900000000000000000 z) (*.f64 3224581990927430761/162000000000000000000 (pow.f64 z 3))))) |
(/.f64 -154609652292764811/12500000000000000 z) |
(neg.f64 (+.f64 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 154609652292764811/12500000000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (*.f64 7692375563440167517/25000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 154609652292764811/12500000000000000 (/.f64 1 z))))) |
(neg.f64 (+.f64 (*.f64 38337163831461689477/25000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 7692375563440167517/25000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 154609652292764811/12500000000000000 (/.f64 1 z)))))) |
(/.f64 -154609652292764811/12500000000000000 z) |
(neg.f64 (+.f64 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 154609652292764811/12500000000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (*.f64 7692375563440167517/25000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 154609652292764811/12500000000000000 (/.f64 1 z))))) |
(neg.f64 (+.f64 (*.f64 38337163831461689477/25000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 7692375563440167517/25000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 154609652292764811/12500000000000000 (/.f64 1 z)))))) |
| Outputs |
|---|
479507597606835099/10000000000000000 |
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) |
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))) |
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))) |
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)))) |
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)))) |
9999999999998099/10000000000000000 |
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z))) |
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (/.f64 3683516130645841/2000000000000 (*.f64 z z))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))) |
(+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))) |
9999999999998099/10000000000000000 |
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z))) |
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (/.f64 3683516130645841/2000000000000 (*.f64 z z))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))) |
(+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))) |
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371756020978964147/150000000000000000 |
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7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 96 | 7 | 103 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 98 | 7 | 105 |
| Status | Error | Program |
|---|---|---|
| 1.3b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (+.f64 (+.f64 (fma.f64 2076511864126339/4000000000000 (*.f64 z z) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) | |
| 1.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 (neg.f64 z) 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.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 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 (neg.f64 z) 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.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 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 (neg.f64 z) 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.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 -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 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.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 -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 (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.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 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) | |
| 0.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (+.f64 (+.f64 (expm1.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.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 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) | |
| ▶ | 0.5b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3)) (+.f64 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.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 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
| 0.9b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 371756020978964147/150000000000000000 (fma.f64 536852952257631293/5400000000000000000 (*.f64 z z) (fma.f64 446800080651085577/900000000000000000 z (*.f64 (pow.f64 z 3) 3224581990927430761/162000000000000000000))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
Compiled 10209 to 7832 computations (23.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| ✓ | 1.0b | (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3) |
| ✓ | 1.0b | (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3)) |
| 1.0ms | z | @ | inf | (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3)) |
| 0.0ms | z | @ | -inf | (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3)) |
| 0.0ms | z | @ | inf | (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) |
| 0.0ms | z | @ | 0 | (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3) |
| 1× | batch-egg-rewrite |
| 208× | add-sqr-sqrt_binary64 |
| 199× | add-cbrt-cube_binary64 |
| 199× | add-log-exp_binary64 |
| 199× | log1p-expm1-u_binary64 |
| 199× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 51 |
| 1 | 493 | 51 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3)) |
(pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3) |
(*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9999999999998099/10000000000000000 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (*.f64 9999999999998099/10000000000000000 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))))))) |
| 1× | egg-herbie |
| 238× | rule-+a-bc-+b-ac_binary64 |
| 219× | rule-a-*a1_binary64 |
| 219× | rule-a--a0_binary64 |
| 219× | rule-a-+a0_binary64 |
| 216× | rule-a-/a1_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 421 |
| 1 | 506 | 407 |
| 2 | 1517 | 370 |
| 1× | node limit |
| Inputs |
|---|
61282015790067840779687421429447878862652999034926522299/1000000000000000000000000000000000000000000000000 |
(+.f64 61282015790067840779687421429447878862652999034926522299/1000000000000000000000000000000000000000000000000 (*.f64 555774942832360712952636555414166892777138547541504179/1000000000000000000000000000000000000000000000 z)) |
(+.f64 (*.f64 2968734568285843448171369880855104801395241535021610179/2000000000000000000000000000000000000000000000 (pow.f64 z 2)) (+.f64 61282015790067840779687421429447878862652999034926522299/1000000000000000000000000000000000000000000000000 (*.f64 555774942832360712952636555414166892777138547541504179/1000000000000000000000000000000000000000000000 z))) |
(+.f64 (*.f64 11139891290222914381398837862338695242761854825098716179/4000000000000000000000000000000000000000000000 (pow.f64 z 3)) (+.f64 (*.f64 2968734568285843448171369880855104801395241535021610179/2000000000000000000000000000000000000000000000 (pow.f64 z 2)) (+.f64 61282015790067840779687421429447878862652999034926522299/1000000000000000000000000000000000000000000000000 (*.f64 555774942832360712952636555414166892777138547541504179/1000000000000000000000000000000000000000000000 z)))) |
999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 |
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-248347696727326739648513300594644731672005750016073477701/1000000000000000000000000000000000000000000000000 |
(-.f64 (*.f64 -373114194719823028331965610658110938826837699611495821/1000000000000000000000000000000000000000000000 z) 248347696727326739648513300594644731672005750016073477701/1000000000000000000000000000000000000000000000000) |
(-.f64 (+.f64 (*.f64 -373114194719823028331965610658110938826837699611495821/1000000000000000000000000000000000000000000000 z) (*.f64 -746821981922891516967038783434006525020663453590389821/2000000000000000000000000000000000000000000000 (pow.f64 z 2))) 248347696727326739648513300594644731672005750016073477701/1000000000000000000000000000000000000000000000000) |
(-.f64 (+.f64 (*.f64 -373114194719823028331965610658110938826837699611495821/1000000000000000000000000000000000000000000000 z) (+.f64 (*.f64 -1245297210472868835729191018625009178624495136941283821/4000000000000000000000000000000000000000000000 (pow.f64 z 3)) (*.f64 -746821981922891516967038783434006525020663453590389821/2000000000000000000000000000000000000000000000 (pow.f64 z 2)))) 248347696727326739648513300594644731672005750016073477701/1000000000000000000000000000000000000000000000000) |
999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 |
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(+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (+.f64 (*.f64 944354412541443056452351640968669203979769707821/250000000000000000000000000000000000000000000 (/.f64 1 z)) (+.f64 (*.f64 125957459376637375062463543705599268151593977415919821/62500000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 595481192070543189220466821066584705396013906813821/125000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2)))))) |
999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 |
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(+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (+.f64 (*.f64 944354412541443056452351640968669203979769707821/250000000000000000000000000000000000000000000 (/.f64 1 z)) (*.f64 595481192070543189220466821066584705396013906813821/125000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))) |
(+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (+.f64 (*.f64 944354412541443056452351640968669203979769707821/250000000000000000000000000000000000000000000 (/.f64 1 z)) (+.f64 (*.f64 125957459376637375062463543705599268151593977415919821/62500000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 595481192070543189220466821066584705396013906813821/125000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2)))))) |
39509975255535434792673395029076841801/100000000000000000000000000000000 |
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99999999999961980000000003613801/100000000000000000000000000000000 |
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(+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (+.f64 (*.f64 19849373069021879673169315094878693/3125000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 9940425774719966879555093810829693/6250000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 31478480418054085940872526780693/12500000000000000000000000000 (/.f64 1 z))))) |
99999999999961980000000003613801/100000000000000000000000000000000 |
(+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 31478480418054085940872526780693/12500000000000000000000000000 (/.f64 1 z))) |
(+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (+.f64 (*.f64 9940425774719966879555093810829693/6250000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 31478480418054085940872526780693/12500000000000000000000000000 (/.f64 1 z)))) |
(+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (+.f64 (*.f64 19849373069021879673169315094878693/3125000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 9940425774719966879555093810829693/6250000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 31478480418054085940872526780693/12500000000000000000000000000 (/.f64 1 z))))) |
| Outputs |
|---|
61282015790067840779687421429447878862652999034926522299/1000000000000000000000000000000000000000000000000 |
(+.f64 61282015790067840779687421429447878862652999034926522299/1000000000000000000000000000000000000000000000000 (*.f64 555774942832360712952636555414166892777138547541504179/1000000000000000000000000000000000000000000000 z)) |
(fma.f64 555774942832360712952636555414166892777138547541504179/1000000000000000000000000000000000000000000000 z 61282015790067840779687421429447878862652999034926522299/1000000000000000000000000000000000000000000000000) |
(+.f64 (*.f64 2968734568285843448171369880855104801395241535021610179/2000000000000000000000000000000000000000000000 (pow.f64 z 2)) (+.f64 61282015790067840779687421429447878862652999034926522299/1000000000000000000000000000000000000000000000000 (*.f64 555774942832360712952636555414166892777138547541504179/1000000000000000000000000000000000000000000000 z))) |
(fma.f64 2968734568285843448171369880855104801395241535021610179/2000000000000000000000000000000000000000000000 (*.f64 z z) (+.f64 61282015790067840779687421429447878862652999034926522299/1000000000000000000000000000000000000000000000000 (*.f64 555774942832360712952636555414166892777138547541504179/1000000000000000000000000000000000000000000000 z))) |
(fma.f64 2968734568285843448171369880855104801395241535021610179/2000000000000000000000000000000000000000000000 (*.f64 z z) (fma.f64 555774942832360712952636555414166892777138547541504179/1000000000000000000000000000000000000000000000 z 61282015790067840779687421429447878862652999034926522299/1000000000000000000000000000000000000000000000000)) |
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6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 112 | 1 | 113 |
| Fresh | 1 | 5 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 114 | 6 | 120 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3)) (+.f64 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))) (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.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 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
| 1.3b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (+.f64 (+.f64 (fma.f64 2076511864126339/4000000000000 (*.f64 z z) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) | |
| 1.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 (neg.f64 z) 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.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 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 (neg.f64 z) 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.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 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 (neg.f64 z) 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.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 -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 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.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 -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 (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.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 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) | |
| 0.9b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 371756020978964147/150000000000000000 (fma.f64 536852952257631293/5400000000000000000 (*.f64 z z) (fma.f64 446800080651085577/900000000000000000 z (*.f64 (pow.f64 z 3) 3224581990927430761/162000000000000000000))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
Compiled 15453 to 12209 computations (21% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| 1.0b | (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3) | |
| 1.0b | (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3)) | |
| ✓ | 2.3b | (expm1.f64 (log1p.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (expm1.f64 (log1p.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))) |
| 0.0ms | z | @ | inf | (expm1.f64 (log1p.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))) |
| 0.0ms | z | @ | -inf | (expm1.f64 (log1p.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))) |
| 1× | batch-egg-rewrite |
| 253× | rule-*aa-fabs*aa_binary64 |
| 247× | rule-/ab-*+aa/1/2b_binary64 |
| 196× | rule-nega-/a-1_binary64 |
| 196× | rule-nega-*a-1_binary64 |
| 195× | rule-nega--0a_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 13 |
| 1 | 289 | 13 |
| 2 | 3665 | 13 |
| 1× | node limit |
| Inputs |
|---|
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) 2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9999999999998099/10000000000000000 (+.f64 9999999999998099/10000000000000000 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 9999999999998099/10000000000000000 (/.f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 3147848041806007/2500000000000 (+.f64 z 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3147848041806007/2500000000000 (+.f64 z -2))) 2) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) 4)) (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))))))))) |
| 1× | egg-herbie |
| 555× | rule-a-*a1_binary64 |
| 555× | rule-a--a0_binary64 |
| 555× | rule-a-+a0_binary64 |
| 555× | rule-a-/a1_binary64 |
| 396× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 141 |
| 1 | 225 | 135 |
| 2 | 673 | 123 |
| 3 | 3412 | 123 |
| 1× | node limit |
| Inputs |
|---|
39509975255535434792673395029076841801/100000000000000000000000000000000 |
(+.f64 39509975255535434792673395029076841801/100000000000000000000000000000000 (*.f64 19786416108185771501287570041317307/50000000000000000000000000000 z)) |
(+.f64 39509975255535434792673395029076841801/100000000000000000000000000000000 (+.f64 (*.f64 29695363402487684294901791325366307/100000000000000000000000000000 (pow.f64 z 2)) (*.f64 19786416108185771501287570041317307/50000000000000000000000000000 z))) |
(+.f64 39509975255535434792673395029076841801/100000000000000000000000000000000 (+.f64 (*.f64 39604310696789597088516012609415307/200000000000000000000000000000 (pow.f64 z 3)) (+.f64 (*.f64 29695363402487684294901791325366307/100000000000000000000000000000 (pow.f64 z 2)) (*.f64 19786416108185771501287570041317307/50000000000000000000000000000 z)))) |
99999999999961980000000003613801/100000000000000000000000000000000 |
(+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 31478480418054085940872526780693/12500000000000000000000000000 (/.f64 1 z))) |
(+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (+.f64 (*.f64 9940425774719966879555093810829693/6250000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 31478480418054085940872526780693/12500000000000000000000000000 (/.f64 1 z)))) |
(+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (+.f64 (*.f64 19849373069021879673169315094878693/3125000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 9940425774719966879555093810829693/6250000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 31478480418054085940872526780693/12500000000000000000000000000 (/.f64 1 z))))) |
99999999999961980000000003613801/100000000000000000000000000000000 |
(+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 31478480418054085940872526780693/12500000000000000000000000000 (/.f64 1 z))) |
(+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (+.f64 (*.f64 9940425774719966879555093810829693/6250000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 31478480418054085940872526780693/12500000000000000000000000000 (/.f64 1 z)))) |
(+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (+.f64 (*.f64 19849373069021879673169315094878693/3125000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 9940425774719966879555093810829693/6250000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 31478480418054085940872526780693/12500000000000000000000000000 (/.f64 1 z))))) |
| Outputs |
|---|
39509975255535434792673395029076841801/100000000000000000000000000000000 |
(+.f64 39509975255535434792673395029076841801/100000000000000000000000000000000 (*.f64 19786416108185771501287570041317307/50000000000000000000000000000 z)) |
(fma.f64 19786416108185771501287570041317307/50000000000000000000000000000 z 39509975255535434792673395029076841801/100000000000000000000000000000000) |
(+.f64 39509975255535434792673395029076841801/100000000000000000000000000000000 (+.f64 (*.f64 29695363402487684294901791325366307/100000000000000000000000000000 (pow.f64 z 2)) (*.f64 19786416108185771501287570041317307/50000000000000000000000000000 z))) |
(+.f64 39509975255535434792673395029076841801/100000000000000000000000000000000 (fma.f64 29695363402487684294901791325366307/100000000000000000000000000000 (*.f64 z z) (*.f64 19786416108185771501287570041317307/50000000000000000000000000000 z))) |
(fma.f64 29695363402487684294901791325366307/100000000000000000000000000000 (*.f64 z z) (fma.f64 19786416108185771501287570041317307/50000000000000000000000000000 z 39509975255535434792673395029076841801/100000000000000000000000000000000)) |
(fma.f64 19786416108185771501287570041317307/50000000000000000000000000000 z (fma.f64 z (*.f64 z 29695363402487684294901791325366307/100000000000000000000000000000) 39509975255535434792673395029076841801/100000000000000000000000000000000)) |
(+.f64 39509975255535434792673395029076841801/100000000000000000000000000000000 (+.f64 (*.f64 39604310696789597088516012609415307/200000000000000000000000000000 (pow.f64 z 3)) (+.f64 (*.f64 29695363402487684294901791325366307/100000000000000000000000000000 (pow.f64 z 2)) (*.f64 19786416108185771501287570041317307/50000000000000000000000000000 z)))) |
(+.f64 39509975255535434792673395029076841801/100000000000000000000000000000000 (fma.f64 39604310696789597088516012609415307/200000000000000000000000000000 (pow.f64 z 3) (fma.f64 29695363402487684294901791325366307/100000000000000000000000000000 (*.f64 z z) (*.f64 19786416108185771501287570041317307/50000000000000000000000000000 z)))) |
(fma.f64 39604310696789597088516012609415307/200000000000000000000000000000 (pow.f64 z 3) (fma.f64 29695363402487684294901791325366307/100000000000000000000000000000 (*.f64 z z) (fma.f64 19786416108185771501287570041317307/50000000000000000000000000000 z 39509975255535434792673395029076841801/100000000000000000000000000000000))) |
(fma.f64 z (*.f64 z 29695363402487684294901791325366307/100000000000000000000000000000) (fma.f64 39604310696789597088516012609415307/200000000000000000000000000000 (pow.f64 z 3) (fma.f64 19786416108185771501287570041317307/50000000000000000000000000000 z 39509975255535434792673395029076841801/100000000000000000000000000000000))) |
99999999999961980000000003613801/100000000000000000000000000000000 |
(+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 31478480418054085940872526780693/12500000000000000000000000000 (/.f64 1 z))) |
(+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 31478480418054085940872526780693/12500000000000000000000000000 z)) |
(+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (+.f64 (*.f64 9940425774719966879555093810829693/6250000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 31478480418054085940872526780693/12500000000000000000000000000 (/.f64 1 z)))) |
(+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (+.f64 (/.f64 31478480418054085940872526780693/12500000000000000000000000000 z) (/.f64 9940425774719966879555093810829693/6250000000000000000000000000 (*.f64 z z)))) |
(+.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 31478480418054085940872526780693/12500000000000000000000000000 z)) (/.f64 9940425774719966879555093810829693/6250000000000000000000000000 (*.f64 z z))) |
(+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 (+.f64 31478480418054085940872526780693/12500000000000000000000000000 (/.f64 9940425774719966879555093810829693/6250000000000000000000000000 z)) z)) |
(+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (+.f64 (*.f64 19849373069021879673169315094878693/3125000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 9940425774719966879555093810829693/6250000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 31478480418054085940872526780693/12500000000000000000000000000 (/.f64 1 z))))) |
(+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (+.f64 (/.f64 9940425774719966879555093810829693/6250000000000000000000000000 (*.f64 z z)) (+.f64 (/.f64 19849373069021879673169315094878693/3125000000000000000000000000 (pow.f64 z 3)) (/.f64 31478480418054085940872526780693/12500000000000000000000000000 z)))) |
(+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (+.f64 (/.f64 9940425774719966879555093810829693/6250000000000000000000000000 (*.f64 z z)) (+.f64 (/.f64 31478480418054085940872526780693/12500000000000000000000000000 z) (/.f64 19849373069021879673169315094878693/3125000000000000000000000000 (pow.f64 z 3))))) |
(+.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 31478480418054085940872526780693/12500000000000000000000000000 z)) (/.f64 (+.f64 (/.f64 19849373069021879673169315094878693/3125000000000000000000000000 z) 9940425774719966879555093810829693/6250000000000000000000000000) (*.f64 z z))) |
99999999999961980000000003613801/100000000000000000000000000000000 |
(+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 31478480418054085940872526780693/12500000000000000000000000000 (/.f64 1 z))) |
(+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 31478480418054085940872526780693/12500000000000000000000000000 z)) |
(+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (+.f64 (*.f64 9940425774719966879555093810829693/6250000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 31478480418054085940872526780693/12500000000000000000000000000 (/.f64 1 z)))) |
(+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (+.f64 (/.f64 31478480418054085940872526780693/12500000000000000000000000000 z) (/.f64 9940425774719966879555093810829693/6250000000000000000000000000 (*.f64 z z)))) |
(+.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 31478480418054085940872526780693/12500000000000000000000000000 z)) (/.f64 9940425774719966879555093810829693/6250000000000000000000000000 (*.f64 z z))) |
(+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 (+.f64 31478480418054085940872526780693/12500000000000000000000000000 (/.f64 9940425774719966879555093810829693/6250000000000000000000000000 z)) z)) |
(+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (+.f64 (*.f64 19849373069021879673169315094878693/3125000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 9940425774719966879555093810829693/6250000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 31478480418054085940872526780693/12500000000000000000000000000 (/.f64 1 z))))) |
(+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (+.f64 (/.f64 9940425774719966879555093810829693/6250000000000000000000000000 (*.f64 z z)) (+.f64 (/.f64 19849373069021879673169315094878693/3125000000000000000000000000 (pow.f64 z 3)) (/.f64 31478480418054085940872526780693/12500000000000000000000000000 z)))) |
(+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (+.f64 (/.f64 9940425774719966879555093810829693/6250000000000000000000000000 (*.f64 z z)) (+.f64 (/.f64 31478480418054085940872526780693/12500000000000000000000000000 z) (/.f64 19849373069021879673169315094878693/3125000000000000000000000000 (pow.f64 z 3))))) |
(+.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 31478480418054085940872526780693/12500000000000000000000000000 z)) (/.f64 (+.f64 (/.f64 19849373069021879673169315094878693/3125000000000000000000000000 z) 9940425774719966879555093810829693/6250000000000000000000000000) (*.f64 z z))) |
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 143 | 1 | 144 |
| Fresh | 1 | 4 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 144 | 6 | 150 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3)) (+.f64 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))) (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.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 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
| 1.3b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (+.f64 (+.f64 (fma.f64 2076511864126339/4000000000000 (*.f64 z z) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) | |
| 1.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 (neg.f64 z) 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.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 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 (neg.f64 z) 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.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 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 (neg.f64 z) 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.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 -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 (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.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 -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 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3)) (+.f64 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))) (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.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 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) | |
| ▶ | 0.9b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 371756020978964147/150000000000000000 (fma.f64 536852952257631293/5400000000000000000 (*.f64 z z) (fma.f64 446800080651085577/900000000000000000 z (*.f64 (pow.f64 z 3) 3224581990927430761/162000000000000000000))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
Compiled 19162 to 15194 computations (20.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
| ✓ | 1.0b | (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 371756020978964147/150000000000000000 (fma.f64 536852952257631293/5400000000000000000 (*.f64 z z) (fma.f64 446800080651085577/900000000000000000 z (*.f64 (pow.f64 z 3) 3224581990927430761/162000000000000000000))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| 2.8b | (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | -inf | (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 371756020978964147/150000000000000000 (fma.f64 536852952257631293/5400000000000000000 (*.f64 z z) (fma.f64 446800080651085577/900000000000000000 z (*.f64 (pow.f64 z 3) 3224581990927430761/162000000000000000000))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
| 2.0ms | z | @ | 0 | (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 371756020978964147/150000000000000000 (fma.f64 536852952257631293/5400000000000000000 (*.f64 z z) (fma.f64 446800080651085577/900000000000000000 z (*.f64 (pow.f64 z 3) 3224581990927430761/162000000000000000000))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
| 2.0ms | z | @ | inf | (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 371756020978964147/150000000000000000 (fma.f64 536852952257631293/5400000000000000000 (*.f64 z z) (fma.f64 446800080651085577/900000000000000000 z (*.f64 (pow.f64 z 3) 3224581990927430761/162000000000000000000))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
| 0.0ms | z | @ | inf | (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
| 0.0ms | z | @ | -inf | (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
| 1× | batch-egg-rewrite |
| 650× | rules-30_binary64 |
| 650× | rules-31_binary64 |
| 650× | rules-32_binary64 |
| 650× | rules-33_binary64 |
| 613× | rules-27_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 127 |
| 1 | 1624 | 127 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 371756020978964147/150000000000000000 (fma.f64 536852952257631293/5400000000000000000 (*.f64 z z) (fma.f64 446800080651085577/900000000000000000 z (*.f64 (pow.f64 z 3) 3224581990927430761/162000000000000000000))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 371756020978964147/150000000000000000 (fma.f64 536852952257631293/5400000000000000000 (*.f64 z z) (fma.f64 446800080651085577/900000000000000000 z (*.f64 (pow.f64 z 3) 3224581990927430761/162000000000000000000))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 3)) (+.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (-.f64 (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))))) |
| 1× | egg-herbie |
| 389× | fma-neg_binary64 |
| 366× | fma-def_binary64 |
| 314× | rule-*ab-*ba_binary64 |
| 243× | rule-a-*a1_binary64 |
| 243× | rule-a--a0_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 184 | 1796 |
| 1 | 1301 | 1730 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)) (sqrt.f64 (PI.f64)))) |
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(*.f64 3224581990927430761/162000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 z 3))) (exp.f64 (-.f64 15/2 z))) (sqrt.f64 (PI.f64)))) |
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(+.f64 (*.f64 446800080651085577/900000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z)) (exp.f64 (-.f64 15/2 z))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 536852952257631293/5400000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 z 2))) (exp.f64 (-.f64 15/2 z))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 3224581990927430761/162000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 z 3))) (exp.f64 (-.f64 15/2 z))) (sqrt.f64 (PI.f64)))) (*.f64 32609751311183477/9375000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (sqrt.f64 (PI.f64))))))) |
(*.f64 3224581990927430761/162000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 3) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (+.f64 (*.f64 -1 z) 15/2))) (sqrt.f64 (PI.f64)))) |
(+.f64 (*.f64 536852952257631293/5400000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (+.f64 (*.f64 -1 z) 15/2))) (sqrt.f64 (PI.f64)))) (*.f64 3224581990927430761/162000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 3) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (+.f64 (*.f64 -1 z) 15/2))) (sqrt.f64 (PI.f64))))) |
(+.f64 (*.f64 446800080651085577/900000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (+.f64 (*.f64 -1 z) 15/2))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 536852952257631293/5400000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (+.f64 (*.f64 -1 z) 15/2))) (sqrt.f64 (PI.f64)))) (*.f64 3224581990927430761/162000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 3) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (+.f64 (*.f64 -1 z) 15/2))) (sqrt.f64 (PI.f64)))))) |
(+.f64 (*.f64 32609751311183477/9375000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (+.f64 (*.f64 -1 z) 15/2))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 446800080651085577/900000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (+.f64 (*.f64 -1 z) 15/2))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 536852952257631293/5400000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (+.f64 (*.f64 -1 z) 15/2))) (sqrt.f64 (PI.f64)))) (*.f64 3224581990927430761/162000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 3) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (+.f64 (*.f64 -1 z) 15/2))) (sqrt.f64 (PI.f64))))))) |
12777243138120953/60000000000000 |
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z)) |
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z))) |
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 36630596080989161/4147200000000000 (pow.f64 z 3)) (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z)))) |
(/.f64 -47576671969241/80000000000 z) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3)))))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))))))) |
(/.f64 -47576671969241/80000000000 z) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3)))))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))))))) |
| Outputs |
|---|
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)) (sqrt.f64 (PI.f64)))) |
(*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 2) (exp.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 15/2) (sqrt.f64 2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64)))) |
(+.f64 (*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (sqrt.f64 15/2)))) (exp.f64 15/2)) (*.f64 -1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)))) z) (sqrt.f64 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)) (sqrt.f64 (PI.f64))))) |
(fma.f64 (*.f64 (-.f64 (*.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)) (*.f64 (sqrt.f64 15/2) 102757979785251069442117317613/235200000000000000000000000)) (/.f64 (sqrt.f64 2) (exp.f64 15/2))) (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 2) (exp.f64 15/2))) -1106209385320415913103082059/4200000000000000000000000)) z) (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 2) (exp.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))) |
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (exp.f64 15/2)))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)) (*.f64 (sqrt.f64 15/2) 102757979785251069442117317613/235200000000000000000000000))) (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) -1106209385320415913103082059/4200000000000000000000000)) (exp.f64 15/2)) z))) |
(+.f64 (*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2))) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (sqrt.f64 15/2))))) (exp.f64 15/2)) (+.f64 (*.f64 -1 (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (sqrt.f64 15/2)))) (exp.f64 15/2)) (*.f64 -1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))))) (*.f64 1106209385320415913103082059/8400000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))))) (pow.f64 z 2)) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (sqrt.f64 15/2)))) (exp.f64 15/2)) (*.f64 -1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)))) z) (sqrt.f64 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)) (sqrt.f64 (PI.f64)))))) |
(fma.f64 (*.f64 (-.f64 (*.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2)))) (fma.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)) (*.f64 (sqrt.f64 15/2) 64608921419941589693928044520019/118540800000000000000000000000))) (/.f64 (sqrt.f64 2) (exp.f64 15/2))) (fma.f64 -1 (-.f64 (*.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)) (*.f64 (sqrt.f64 15/2) 102757979785251069442117317613/235200000000000000000000000)) (/.f64 (sqrt.f64 2) (exp.f64 15/2))) (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 2) (exp.f64 15/2))) -1106209385320415913103082059/4200000000000000000000000)) (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) 1106209385320415913103082059/8400000000000000000000000) (exp.f64 15/2)))) (*.f64 z z)) (sqrt.f64 (PI.f64)) (fma.f64 (*.f64 (-.f64 (*.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)) (*.f64 (sqrt.f64 15/2) 102757979785251069442117317613/235200000000000000000000000)) (/.f64 (sqrt.f64 2) (exp.f64 15/2))) (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 2) (exp.f64 15/2))) -1106209385320415913103082059/4200000000000000000000000)) z) (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 2) (exp.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64)))))) |
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(fma.f64 446800080651085577/900000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))))) (fma.f64 536852952257631293/5400000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (*.f64 z z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))))) (fma.f64 3224581990927430761/162000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (pow.f64 z 3) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))))) (*.f64 32609751311183477/9375000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))))))))) |
(fma.f64 446800080651085577/900000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 z (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (-.f64 15/2 z)))) (fma.f64 536852952257631293/5400000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (*.f64 z z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))))) (fma.f64 (*.f64 (sqrt.f64 2) (/.f64 (*.f64 (pow.f64 z 3) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z)))) (*.f64 (sqrt.f64 (PI.f64)) 3224581990927430761/162000000000000000000) (*.f64 32609751311183477/9375000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 (-.f64 15/2 z)) (sqrt.f64 2)))))))) |
(*.f64 3224581990927430761/162000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 3) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (+.f64 (*.f64 -1 z) 15/2))) (sqrt.f64 (PI.f64)))) |
(*.f64 3224581990927430761/162000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (pow.f64 z 3) (pow.f64 (fma.f64 -1 z 15/2) (fma.f64 -1 z 1/2))) (/.f64 (sqrt.f64 2) (exp.f64 (fma.f64 -1 z 15/2)))))) |
(*.f64 3224581990927430761/162000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (fma.f64 -1 z 15/2) (fma.f64 -1 z 1/2))) (/.f64 (pow.f64 z 3) (exp.f64 (fma.f64 -1 z 15/2)))))) |
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(fma.f64 536852952257631293/5400000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (*.f64 z z) (pow.f64 (fma.f64 -1 z 15/2) (fma.f64 -1 z 1/2))) (/.f64 (sqrt.f64 2) (exp.f64 (fma.f64 -1 z 15/2))))) (*.f64 3224581990927430761/162000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (pow.f64 z 3) (pow.f64 (fma.f64 -1 z 15/2) (fma.f64 -1 z 1/2))) (/.f64 (sqrt.f64 2) (exp.f64 (fma.f64 -1 z 15/2))))))) |
(fma.f64 3224581990927430761/162000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (fma.f64 -1 z 15/2) (fma.f64 -1 z 1/2))) (/.f64 (pow.f64 z 3) (exp.f64 (fma.f64 -1 z 15/2))))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 536852952257631293/5400000000000000000 (*.f64 (sqrt.f64 2) (/.f64 (*.f64 z (*.f64 z (pow.f64 (fma.f64 -1 z 15/2) (fma.f64 -1 z 1/2)))) (exp.f64 (fma.f64 -1 z 15/2))))))) |
(+.f64 (*.f64 446800080651085577/900000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (+.f64 (*.f64 -1 z) 15/2))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 536852952257631293/5400000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (+.f64 (*.f64 -1 z) 15/2))) (sqrt.f64 (PI.f64)))) (*.f64 3224581990927430761/162000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 3) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (+.f64 (*.f64 -1 z) 15/2))) (sqrt.f64 (PI.f64)))))) |
(fma.f64 446800080651085577/900000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 z (pow.f64 (fma.f64 -1 z 15/2) (fma.f64 -1 z 1/2))) (/.f64 (sqrt.f64 2) (exp.f64 (fma.f64 -1 z 15/2))))) (fma.f64 536852952257631293/5400000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (*.f64 z z) (pow.f64 (fma.f64 -1 z 15/2) (fma.f64 -1 z 1/2))) (/.f64 (sqrt.f64 2) (exp.f64 (fma.f64 -1 z 15/2))))) (*.f64 3224581990927430761/162000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (pow.f64 z 3) (pow.f64 (fma.f64 -1 z 15/2) (fma.f64 -1 z 1/2))) (/.f64 (sqrt.f64 2) (exp.f64 (fma.f64 -1 z 15/2)))))))) |
(fma.f64 536852952257631293/5400000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (/.f64 (*.f64 z (*.f64 z (pow.f64 (fma.f64 -1 z 15/2) (fma.f64 -1 z 1/2)))) (exp.f64 (fma.f64 -1 z 15/2))))) (fma.f64 446800080651085577/900000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 z (pow.f64 (fma.f64 -1 z 15/2) (fma.f64 -1 z 1/2))) (/.f64 (sqrt.f64 2) (exp.f64 (fma.f64 -1 z 15/2))))) (*.f64 3224581990927430761/162000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (fma.f64 -1 z 15/2) (fma.f64 -1 z 1/2))) (/.f64 (pow.f64 z 3) (exp.f64 (fma.f64 -1 z 15/2)))))))) |
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(fma.f64 32609751311183477/9375000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (fma.f64 -1 z 1/2)) (/.f64 (sqrt.f64 2) (exp.f64 (fma.f64 -1 z 15/2))))) (fma.f64 446800080651085577/900000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 z (pow.f64 (fma.f64 -1 z 15/2) (fma.f64 -1 z 1/2))) (/.f64 (sqrt.f64 2) (exp.f64 (fma.f64 -1 z 15/2))))) (fma.f64 536852952257631293/5400000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (*.f64 z z) (pow.f64 (fma.f64 -1 z 15/2) (fma.f64 -1 z 1/2))) (/.f64 (sqrt.f64 2) (exp.f64 (fma.f64 -1 z 15/2))))) (*.f64 3224581990927430761/162000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (pow.f64 z 3) (pow.f64 (fma.f64 -1 z 15/2) (fma.f64 -1 z 1/2))) (/.f64 (sqrt.f64 2) (exp.f64 (fma.f64 -1 z 15/2))))))))) |
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12777243138120953/60000000000000 |
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z)) |
(+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)) |
(fma.f64 z 53758197989915921/720000000000000 12777243138120953/60000000000000) |
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z))) |
(+.f64 12777243138120953/60000000000000 (fma.f64 222980468271960011/8640000000000000 (*.f64 z z) (*.f64 z 53758197989915921/720000000000000))) |
(fma.f64 (*.f64 z z) 222980468271960011/8640000000000000 (fma.f64 z 53758197989915921/720000000000000 12777243138120953/60000000000000)) |
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(fma.f64 (pow.f64 z 3) 36630596080989161/4147200000000000 (fma.f64 (*.f64 z z) 222980468271960011/8640000000000000 (fma.f64 z 53758197989915921/720000000000000 12777243138120953/60000000000000))) |
(/.f64 -47576671969241/80000000000 z) |
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(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (/.f64 47576671969241/80000000000 z))) |
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(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4))))) |
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(/.f64 -47576671969241/80000000000 z) |
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(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 95223707106196353/10000000000000 (pow.f64 z 4)) (/.f64 47576671969241/80000000000 z))))) |
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 102 | 1 | 103 |
| Fresh | 0 | 4 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 103 | 6 | 109 |
| Status | Error | Program |
|---|---|---|
| 0.9b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (log.f64 (exp.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 371756020978964147/150000000000000000 (fma.f64 536852952257631293/5400000000000000000 (*.f64 z z) (fma.f64 446800080651085577/900000000000000000 z (*.f64 (pow.f64 z 3) 3224581990927430761/162000000000000000000))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) | |
| ✓ | 0.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3)) (+.f64 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))) (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.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 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
| 1.3b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (+.f64 (+.f64 (fma.f64 2076511864126339/4000000000000 (*.f64 z z) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) | |
| 1.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 (neg.f64 z) 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.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 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 (neg.f64 z) 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.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 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 (neg.f64 z) 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.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 -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 (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.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 -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 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3)) (+.f64 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))) (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.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 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
Compiled 9795 to 7314 computations (25.3% saved)
Total -3.0b remaining (-606.7%)
Threshold costs -3.0b (-606.7%)
Compiled 3544 to 2741 computations (22.7% saved)
| 1× | egg-herbie |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 183 |
| 1 | 72 | 183 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3)) (+.f64 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))) (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.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 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
| Outputs |
|---|
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3)) (+.f64 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))) (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.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 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
| 1× | fuel |
Compiled 936 to 732 computations (21.8% saved)
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