Time bar (total: 56.8s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 74.9% | 25.1% | 0 |
| 0% | 74.9% | 25.1% | 1 |
| 0% | 74.9% | 25.1% | 2 |
| 18.7% | 56.2% | 25.1% | 3 |
| 37.5% | 37.5% | 25.1% | 4 |
| 42.1% | 32.8% | 25.1% | 5 |
| 46.8% | 28.1% | 25.1% | 6 |
| 48% | 26.9% | 25.1% | 7 |
| 49.2% | 25.8% | 25.1% | 8 |
| 49.5% | 25.5% | 25.1% | 9 |
| 49.8% | 25.2% | 25.1% | 10 |
| 49.8% | 25.2% | 25.1% | 11 |
| 49.8% | 25.1% | 25.1% | 12 |
| 49.9% | 25% | 25.1% | 13 |
| 49.9% | 25% | 25.1% | 14 |
Compiled 127 to 112 computations (11.8% saved)
| 1× | intervals |
| 1.4s | 122× | body | 8192 | exit |
| 88.0ms | 256× | body | 128 | valid |
| 11.0ms | 381× | pre | 128 | true |
| 1.0ms | 3× | body | 128 | invalid |
Compiled 252 to 223 computations (11.5% saved)
| 1× | egg-herbie |
| 388× | associate-+l+_binary64 |
| 318× | exp-sum_binary64 |
| 296× | associate-+r+_binary64 |
| 271× | distribute-rgt-in_binary64 |
| 266× | distribute-lft-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 156 |
| 1 | 160 | 147 |
| 2 | 604 | 119 |
| 3 | 3400 | 115 |
| 4 | 4793 | 115 |
| 5 | 4804 | 115 |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
| ▶ | 1.8b | (*.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 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -5537752839100187/4398046511104 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 848079078717083/1099511627776 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -6214088902520669/35184372088832 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 7041008316161153/562949953421312 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -4992549864024149/36028797018963968 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 5893731530977871/590295810358705651712 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 5688119651184367/37778931862957161709568 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))) |
| 1.8b | (*.f64 (/.f64 PI.f64 (sin.f64 (*.f64 PI.f64 z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) (/.f64 -6214088902520669/35184372088832 (-.f64 4 z))) (/.f64 7041008316161153/562949953421312 (-.f64 5 z))) (/.f64 -4992549864024149/36028797018963968 (-.f64 6 z))) (/.f64 5893731530977871/590295810358705651712 (-.f64 7 z))) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z))))) |
Compiled 473 to 403 computations (14.8% saved)
Found 4 expressions with local error:
| 5.1b | (-.f64 (-.f64 1 z) 1) |
| 5.1b | (-.f64 (-.f64 1 z) 1) |
| 5.1b | (-.f64 (-.f64 1 z) 1) |
| 5.1b | (-.f64 (-.f64 1 z) 1) |
| 1× | rewrite-expression-head |
| 36× | *-un-lft-identity_binary64 |
| 28× | add-sqr-sqrt_binary64 |
| 24× | add-log-exp_binary64 cancel-sign-sub-inv_binary64 |
| 16× | associate--l+_binary64 |
| 12× | diff-log_binary64 add-cube-cbrt_binary64 distribute-lft-out--_binary64 |
4 calls:
| 14.0ms | (-.f64 (-.f64 1 z) 1) |
| 8.0ms | (-.f64 (-.f64 1 z) 1) |
| 8.0ms | (-.f64 (-.f64 1 z) 1) |
| 8.0ms | (-.f64 (-.f64 1 z) 1) |
Compiled 11373 to 9694 computations (14.8% saved)
4 calls:
| 28.0ms | (-.f64 (-.f64 1 z) 1) |
| 27.0ms | (-.f64 (-.f64 1 z) 1) |
| 26.0ms | (-.f64 (-.f64 1 z) 1) |
| 26.0ms | (-.f64 (-.f64 1 z) 1) |
Compiled 3413 to 3009 computations (11.8% saved)
| 1× | egg-herbie |
| 546× | distribute-rgt-in_binary64 |
| 454× | distribute-lft-in_binary64 |
| 434× | distribute-neg-in_binary64 |
| 412× | neg-mul-1_binary64 |
| 305× | associate-+l+_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 1032 |
| 1 | 96 | 772 |
| 2 | 189 | 728 |
| 3 | 755 | 720 |
| 4 | 3363 | 704 |
| 5 | 4647 | 704 |
| 6 | 4856 | 704 |
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 100 | 0 | 100 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 100 | 2 | 102 |
| Status | Error | Program |
| ✓ | 1.8b | (*.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 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -5537752839100187/4398046511104 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 848079078717083/1099511627776 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -6214088902520669/35184372088832 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 7041008316161153/562949953421312 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -4992549864024149/36028797018963968 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 5893731530977871/590295810358705651712 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 5688119651184367/37778931862957161709568 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))) |
| ▶ | 1.8b | (*.f64 (/.f64 PI.f64 (sin.f64 (*.f64 PI.f64 z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) (/.f64 -6214088902520669/35184372088832 (-.f64 4 z))) (/.f64 7041008316161153/562949953421312 (-.f64 5 z))) (/.f64 -4992549864024149/36028797018963968 (-.f64 6 z))) (/.f64 5893731530977871/590295810358705651712 (-.f64 7 z))) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z))))) |
Compiled 6275 to 5272 computations (16% saved)
Found 4 expressions with local error:
| 1.0b | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) (/.f64 -6214088902520669/35184372088832 (-.f64 4 z))) (/.f64 7041008316161153/562949953421312 (-.f64 5 z))) (/.f64 -4992549864024149/36028797018963968 (-.f64 6 z))) (/.f64 5893731530977871/590295810358705651712 (-.f64 7 z))) |
| 1.0b | (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 1.0b | (sqrt.f64 (*.f64 PI.f64 2)) |
| 2.6b | (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) |
| 1× | rewrite-expression-head |
| 45× | *-un-lft-identity_binary64 |
| 44× | add-log-exp_binary64 frac-add_binary64 |
| 31× | sum-log_binary64 distribute-lft-out_binary64 |
| 10× | add-exp-log_binary64 |
| 9× | pow1_binary64 add-cbrt-cube_binary64 flip3-+_binary64 flip-+_binary64 |
4 calls:
| 90.0ms | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) (/.f64 -6214088902520669/35184372088832 (-.f64 4 z))) (/.f64 7041008316161153/562949953421312 (-.f64 5 z))) (/.f64 -4992549864024149/36028797018963968 (-.f64 6 z))) (/.f64 5893731530977871/590295810358705651712 (-.f64 7 z))) |
| 27.0ms | (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) |
| 15.0ms | (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 2.0ms | (sqrt.f64 (*.f64 PI.f64 2)) |
Compiled 9154 to 7239 computations (20.9% saved)
4 calls:
| 59.0ms | (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 31.0ms | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) (/.f64 -6214088902520669/35184372088832 (-.f64 4 z))) (/.f64 7041008316161153/562949953421312 (-.f64 5 z))) (/.f64 -4992549864024149/36028797018963968 (-.f64 6 z))) (/.f64 5893731530977871/590295810358705651712 (-.f64 7 z))) |
| 23.0ms | (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) |
| 0.0ms | (sqrt.f64 (*.f64 PI.f64 2)) |
Compiled 3295 to 2624 computations (20.4% saved)
| 1× | egg-herbie |
| 638× | associate-*l*_binary64 |
| 503× | associate-*r*_binary64 |
| 368× | distribute-rgt-in_binary64 |
| 340× | distribute-lft-in_binary64 |
| 215× | *-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 508 | 8619 |
| 1 | 1402 | 8306 |
| 2 | 5188 | 8306 |
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 81 | 5 | 86 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 82 | 6 | 88 |
| Status | Error | Program |
| 1.8b | (*.f64 (/.f64 PI.f64 (sin.f64 (*.f64 PI.f64 z))) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 PI.f64))) (exp.f64 z)) (exp.f64 -15/2)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) (/.f64 -6214088902520669/35184372088832 (-.f64 4 z))) (/.f64 7041008316161153/562949953421312 (-.f64 5 z))) (/.f64 -4992549864024149/36028797018963968 (-.f64 6 z))) (/.f64 5893731530977871/590295810358705651712 (-.f64 7 z))) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z))))) | |
| ▶ | 1.1b | (*.f64 (/.f64 PI.f64 (sin.f64 (*.f64 PI.f64 z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 777369958913643152449373/2951479051793528258560 (*.f64 z 58027045549583850709031327/132816557330708771635200)) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z))))) |
| ✓ | 1.8b | (*.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 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -5537752839100187/4398046511104 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 848079078717083/1099511627776 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -6214088902520669/35184372088832 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 7041008316161153/562949953421312 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -4992549864024149/36028797018963968 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 5893731530977871/590295810358705651712 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 5688119651184367/37778931862957161709568 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))) |
| 1.3b | (*.f64 (/.f64 PI.f64 (sin.f64 (*.f64 PI.f64 z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 7 z) (+.f64 (*.f64 (-.f64 6 z) (+.f64 (*.f64 (-.f64 5 z) (+.f64 (*.f64 (-.f64 4 z) (+.f64 (*.f64 (+.f64 (*.f64 (-.f64 2 z) (+.f64 178405961588143256171617450107358831776190125/178405961588244985132285746181186892047843328 (pow.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) 3))) (*.f64 -5537752839100187/4398046511104 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (*.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))))) (-.f64 3 z)) (*.f64 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (*.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))) (*.f64 (-.f64 2 z) 848079078717083/1099511627776)))) (*.f64 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (*.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))) (*.f64 (-.f64 2 z) (*.f64 (-.f64 3 z) -6214088902520669/35184372088832))))) (*.f64 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (*.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))) (*.f64 (*.f64 (-.f64 2 z) (-.f64 3 z)) (*.f64 (-.f64 4 z) 7041008316161153/562949953421312))))) (*.f64 (*.f64 (-.f64 2 z) (+.f64 316912650056936879084143652025/316912650057057350374175801344 (*.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312)))) (*.f64 (*.f64 (-.f64 3 z) (-.f64 4 z)) (*.f64 (-.f64 5 z) -4992549864024149/36028797018963968))))) (*.f64 5893731530977871/590295810358705651712 (*.f64 (*.f64 (-.f64 2 z) (+.f64 316912650056936879084143652025/316912650057057350374175801344 (*.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312)))) (*.f64 (*.f64 (-.f64 3 z) (-.f64 4 z)) (*.f64 (-.f64 5 z) (-.f64 6 z)))))) (*.f64 (-.f64 7 z) (*.f64 (*.f64 (-.f64 2 z) (+.f64 316912650056936879084143652025/316912650057057350374175801344 (*.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312)))) (*.f64 (*.f64 (-.f64 3 z) (-.f64 4 z)) (*.f64 (-.f64 5 z) (-.f64 6 z)))))) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z))))) | |
| 1.2b | (*.f64 (/.f64 PI.f64 (sin.f64 (*.f64 PI.f64 z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 2 z) (+.f64 178405961588143256171617450107358831776190125/178405961588244985132285746181186892047843328 (pow.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) 3))) (*.f64 -5537752839100187/4398046511104 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (*.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))))) (*.f64 (-.f64 2 z) (+.f64 316912650056936879084143652025/316912650057057350374175801344 (*.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) (/.f64 -6214088902520669/35184372088832 (-.f64 4 z))) (/.f64 7041008316161153/562949953421312 (-.f64 5 z))) (/.f64 -4992549864024149/36028797018963968 (-.f64 6 z))) (/.f64 5893731530977871/590295810358705651712 (-.f64 7 z))) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z))))) | |
| 1.2b | (*.f64 (/.f64 PI.f64 (sin.f64 (*.f64 PI.f64 z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (exp.f64 (log.f64 (+.f64 (/.f64 5893731530977871/590295810358705651712 (-.f64 7 z)) (+.f64 (/.f64 -4992549864024149/36028797018963968 (-.f64 6 z)) (+.f64 (/.f64 7041008316161153/562949953421312 (-.f64 5 z)) (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))))))))) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z))))) |
Compiled 8956 to 7127 computations (20.4% saved)
Found 4 expressions with local error:
| 0.3b | (/.f64 PI.f64 (sin.f64 (*.f64 PI.f64 z))) |
| 0.3b | (*.f64 (/.f64 PI.f64 (sin.f64 (*.f64 PI.f64 z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 777369958913643152449373/2951479051793528258560 (*.f64 z 58027045549583850709031327/132816557330708771635200)) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z))))) |
| 1.0b | (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 1.0b | (sqrt.f64 (*.f64 PI.f64 2)) |
| 1× | rewrite-expression-head |
| 56× | add-exp-log_binary64 |
| 43× | add-cbrt-cube_binary64 prod-exp_binary64 |
| 28× | associate-*r/_binary64 |
| 23× | cbrt-unprod_binary64 |
| 20× | add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64 |
4 calls:
| 37.0ms | (*.f64 (/.f64 PI.f64 (sin.f64 (*.f64 PI.f64 z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 777369958913643152449373/2951479051793528258560 (*.f64 z 58027045549583850709031327/132816557330708771635200)) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z))))) |
| 15.0ms | (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 4.0ms | (/.f64 PI.f64 (sin.f64 (*.f64 PI.f64 z))) |
| 2.0ms | (sqrt.f64 (*.f64 PI.f64 2)) |
Compiled 6311 to 4221 computations (33.1% saved)
4 calls:
| 57.0ms | (*.f64 (/.f64 PI.f64 (sin.f64 (*.f64 PI.f64 z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 777369958913643152449373/2951479051793528258560 (*.f64 z 58027045549583850709031327/132816557330708771635200)) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z))))) |
| 35.0ms | (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 14.0ms | (/.f64 PI.f64 (sin.f64 (*.f64 PI.f64 z))) |
| 0.0ms | (sqrt.f64 (*.f64 PI.f64 2)) |
Compiled 1627 to 1280 computations (21.3% saved)
| 1× | egg-herbie |
| 710× | associate-*l*_binary64 |
| 685× | associate-*r*_binary64 |
| 293× | distribute-rgt-in_binary64 |
| 282× | distribute-lft-in_binary64 |
| 173× | associate-*l/_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 327 | 7356 |
| 1 | 966 | 6281 |
| 2 | 4642 | 6281 |
| 3 | 4996 | 6281 |
| 4 | 4965 | 6281 |
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 104 | 6 | 110 |
| Fresh | 1 | 3 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 107 | 9 | 116 |
| Status | Error | Program |
| 1.5b | (*.f64 (*.f64 (sqrt.f64 PI.f64) (/.f64 (sqrt.f64 PI.f64) (sin.f64 (*.f64 PI.f64 z)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 777369958913643152449373/2951479051793528258560 (*.f64 z 58027045549583850709031327/132816557330708771635200)) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z))))) | |
| 1.1b | (/.f64 (*.f64 PI.f64 (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 (-.f64 15/2 z)))) (+.f64 (*.f64 (-.f64 8 z) (+.f64 469767816868593162616464387804412312683552009646522632832955935801658117/25711008708143844408671393477458601640355247900524685364822016000 (pow.f64 (*.f64 z 58027045549583850709031327/132816557330708771635200) 3))) (*.f64 5688119651184367/37778931862957161709568 (+.f64 604304053021399242927857182290296232489328093129/8711228593176024664662389950253266213273600 (-.f64 (*.f64 z (*.f64 3367138015213478974774894396644263429263322667380929/17640237901181449945941339649262864081879040000 z)) (*.f64 z 45108482014760097766403102080524226211692238507971/392005286692921109909807547761396979597312000))))))) (*.f64 (sin.f64 (*.f64 PI.f64 z)) (*.f64 (+.f64 604304053021399242927857182290296232489328093129/8711228593176024664662389950253266213273600 (-.f64 (*.f64 z (*.f64 3367138015213478974774894396644263429263322667380929/17640237901181449945941339649262864081879040000 z)) (*.f64 z 45108482014760097766403102080524226211692238507971/392005286692921109909807547761396979597312000))) (*.f64 (-.f64 8 z) (pow.f64 (-.f64 15/2 z) z))))) | |
| 1.1b | (/.f64 (*.f64 PI.f64 (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 PI.f64)))) (-.f64 (*.f64 (+.f64 777369958913643152449373/2951479051793528258560 (*.f64 z 58027045549583850709031327/132816557330708771635200)) (+.f64 777369958913643152449373/2951479051793528258560 (*.f64 z 58027045549583850709031327/132816557330708771635200))) (/.f64 (/.f64 32354705166189764912425825190689/1427247692705959881058285969449495136382746624 (-.f64 8 z)) (-.f64 8 z))))) (*.f64 (sin.f64 (*.f64 PI.f64 z)) (-.f64 (+.f64 777369958913643152449373/2951479051793528258560 (*.f64 z 58027045549583850709031327/132816557330708771635200)) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z))))) | |
| ▶ | 1.1b | (*.f64 (*.f64 1 (/.f64 PI.f64 (sin.f64 (*.f64 PI.f64 z)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 777369958913643152449373/2951479051793528258560 (*.f64 z 58027045549583850709031327/132816557330708771635200)) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z))))) |
| 1.3b | (-.f64 (*.f64 (sqrt.f64 PI.f64) (+.f64 (*.f64 398013418992225892310000811/1511157274518286468382720 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z)) (*.f64 371411287353763179241869070463/544016618826583128617779200 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2)))))) (*.f64 398013418992225892310000811/1511157274518286468382720 (*.f64 (sqrt.f64 PI.f64) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (log.f64 15/2))))))) | |
| 1.8b | (*.f64 (/.f64 PI.f64 (sin.f64 (*.f64 PI.f64 z))) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 PI.f64))) (exp.f64 z)) (exp.f64 -15/2)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) (/.f64 -6214088902520669/35184372088832 (-.f64 4 z))) (/.f64 7041008316161153/562949953421312 (-.f64 5 z))) (/.f64 -4992549864024149/36028797018963968 (-.f64 6 z))) (/.f64 5893731530977871/590295810358705651712 (-.f64 7 z))) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z))))) | |
| 1.2b | (*.f64 (/.f64 PI.f64 (sin.f64 (*.f64 PI.f64 z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 2 z) (+.f64 178405961588143256171617450107358831776190125/178405961588244985132285746181186892047843328 (pow.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) 3))) (*.f64 -5537752839100187/4398046511104 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (*.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))))) (*.f64 (-.f64 2 z) (+.f64 316912650056936879084143652025/316912650057057350374175801344 (*.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) (/.f64 -6214088902520669/35184372088832 (-.f64 4 z))) (/.f64 7041008316161153/562949953421312 (-.f64 5 z))) (/.f64 -4992549864024149/36028797018963968 (-.f64 6 z))) (/.f64 5893731530977871/590295810358705651712 (-.f64 7 z))) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z))))) | |
| 1.2b | (*.f64 (/.f64 PI.f64 (sin.f64 (*.f64 PI.f64 z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (exp.f64 (log.f64 (+.f64 (/.f64 5893731530977871/590295810358705651712 (-.f64 7 z)) (+.f64 (/.f64 -4992549864024149/36028797018963968 (-.f64 6 z)) (+.f64 (/.f64 7041008316161153/562949953421312 (-.f64 5 z)) (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))))))))) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z))))) | |
| 1.2b | (/.f64 (*.f64 PI.f64 (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 PI.f64)))) (+.f64 (pow.f64 (+.f64 777369958913643152449373/2951479051793528258560 (*.f64 z 58027045549583850709031327/132816557330708771635200)) 3) (pow.f64 (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)) 3)))) (*.f64 (sin.f64 (*.f64 PI.f64 z)) (+.f64 (*.f64 (+.f64 777369958913643152449373/2951479051793528258560 (*.f64 z 58027045549583850709031327/132816557330708771635200)) (+.f64 777369958913643152449373/2951479051793528258560 (*.f64 z 58027045549583850709031327/132816557330708771635200))) (*.f64 (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)) (-.f64 (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)) (+.f64 777369958913643152449373/2951479051793528258560 (*.f64 z 58027045549583850709031327/132816557330708771635200))))))) |
Compiled 4717 to 3377 computations (28.4% saved)
Found 4 expressions with local error:
| 0.3b | (/.f64 PI.f64 (sin.f64 (*.f64 PI.f64 z))) |
| 0.3b | (*.f64 (*.f64 1 (/.f64 PI.f64 (sin.f64 (*.f64 PI.f64 z)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 777369958913643152449373/2951479051793528258560 (*.f64 z 58027045549583850709031327/132816557330708771635200)) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z))))) |
| 1.0b | (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 1.0b | (sqrt.f64 (*.f64 PI.f64 2)) |
| 1× | rewrite-expression-head |
| 131× | add-exp-log_binary64 |
| 121× | prod-exp_binary64 |
| 65× | add-cbrt-cube_binary64 |
| 41× | cbrt-unprod_binary64 |
| 38× | associate-*r/_binary64 |
4 calls:
| 38.0ms | (*.f64 (*.f64 1 (/.f64 PI.f64 (sin.f64 (*.f64 PI.f64 z)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 777369958913643152449373/2951479051793528258560 (*.f64 z 58027045549583850709031327/132816557330708771635200)) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z))))) |
| 15.0ms | (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 3.0ms | (/.f64 PI.f64 (sin.f64 (*.f64 PI.f64 z))) |
| 2.0ms | (sqrt.f64 (*.f64 PI.f64 2)) |
Compiled 7151 to 4962 computations (30.6% saved)
4 calls:
| 54.0ms | (*.f64 (*.f64 1 (/.f64 PI.f64 (sin.f64 (*.f64 PI.f64 z)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 777369958913643152449373/2951479051793528258560 (*.f64 z 58027045549583850709031327/132816557330708771635200)) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z))))) |
| 35.0ms | (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 14.0ms | (/.f64 PI.f64 (sin.f64 (*.f64 PI.f64 z))) |
| 0.0ms | (sqrt.f64 (*.f64 PI.f64 2)) |
Compiled 1665 to 1318 computations (20.8% saved)
| 1× | egg-herbie |
| 748× | associate-*l*_binary64 |
| 684× | associate-*r*_binary64 |
| 330× | *-commutative_binary64 |
| 244× | distribute-rgt-in_binary64 |
| 233× | distribute-lft-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 338 | 8547 |
| 1 | 936 | 7059 |
| 2 | 4176 | 7051 |
| 3 | 4799 | 7051 |
| 4 | 5069 | 7051 |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 121 | 0 | 121 |
| Fresh | 0 | 8 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 121 | 9 | 130 |
| Status | Error | Program |
| 1.5b | (*.f64 (*.f64 (sqrt.f64 PI.f64) (/.f64 (sqrt.f64 PI.f64) (sin.f64 (*.f64 PI.f64 z)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 777369958913643152449373/2951479051793528258560 (*.f64 z 58027045549583850709031327/132816557330708771635200)) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z))))) | |
| 1.1b | (/.f64 (*.f64 PI.f64 (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 (-.f64 15/2 z)))) (+.f64 (*.f64 (-.f64 8 z) (+.f64 469767816868593162616464387804412312683552009646522632832955935801658117/25711008708143844408671393477458601640355247900524685364822016000 (pow.f64 (*.f64 z 58027045549583850709031327/132816557330708771635200) 3))) (*.f64 5688119651184367/37778931862957161709568 (+.f64 604304053021399242927857182290296232489328093129/8711228593176024664662389950253266213273600 (-.f64 (*.f64 z (*.f64 3367138015213478974774894396644263429263322667380929/17640237901181449945941339649262864081879040000 z)) (*.f64 z 45108482014760097766403102080524226211692238507971/392005286692921109909807547761396979597312000))))))) (*.f64 (sin.f64 (*.f64 PI.f64 z)) (*.f64 (+.f64 604304053021399242927857182290296232489328093129/8711228593176024664662389950253266213273600 (-.f64 (*.f64 z (*.f64 3367138015213478974774894396644263429263322667380929/17640237901181449945941339649262864081879040000 z)) (*.f64 z 45108482014760097766403102080524226211692238507971/392005286692921109909807547761396979597312000))) (*.f64 (-.f64 8 z) (pow.f64 (-.f64 15/2 z) z))))) | |
| 1.1b | (/.f64 (*.f64 PI.f64 (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 PI.f64)))) (-.f64 (*.f64 (+.f64 777369958913643152449373/2951479051793528258560 (*.f64 z 58027045549583850709031327/132816557330708771635200)) (+.f64 777369958913643152449373/2951479051793528258560 (*.f64 z 58027045549583850709031327/132816557330708771635200))) (/.f64 (/.f64 32354705166189764912425825190689/1427247692705959881058285969449495136382746624 (-.f64 8 z)) (-.f64 8 z))))) (*.f64 (sin.f64 (*.f64 PI.f64 z)) (-.f64 (+.f64 777369958913643152449373/2951479051793528258560 (*.f64 z 58027045549583850709031327/132816557330708771635200)) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z))))) | |
| 1.1b | (*.f64 (*.f64 1 (/.f64 PI.f64 (sin.f64 (*.f64 PI.f64 z)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 777369958913643152449373/2951479051793528258560 (*.f64 z 58027045549583850709031327/132816557330708771635200)) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z))))) | |
| 1.3b | (-.f64 (*.f64 (sqrt.f64 PI.f64) (+.f64 (*.f64 398013418992225892310000811/1511157274518286468382720 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z)) (*.f64 371411287353763179241869070463/544016618826583128617779200 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2)))))) (*.f64 398013418992225892310000811/1511157274518286468382720 (*.f64 (sqrt.f64 PI.f64) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (log.f64 15/2))))))) | |
| 1.8b | (*.f64 (/.f64 PI.f64 (sin.f64 (*.f64 PI.f64 z))) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 PI.f64))) (exp.f64 z)) (exp.f64 -15/2)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) (/.f64 -6214088902520669/35184372088832 (-.f64 4 z))) (/.f64 7041008316161153/562949953421312 (-.f64 5 z))) (/.f64 -4992549864024149/36028797018963968 (-.f64 6 z))) (/.f64 5893731530977871/590295810358705651712 (-.f64 7 z))) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z))))) | |
| 1.2b | (*.f64 (/.f64 PI.f64 (sin.f64 (*.f64 PI.f64 z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 2 z) (+.f64 178405961588143256171617450107358831776190125/178405961588244985132285746181186892047843328 (pow.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) 3))) (*.f64 -5537752839100187/4398046511104 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (*.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))))) (*.f64 (-.f64 2 z) (+.f64 316912650056936879084143652025/316912650057057350374175801344 (*.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) (/.f64 -6214088902520669/35184372088832 (-.f64 4 z))) (/.f64 7041008316161153/562949953421312 (-.f64 5 z))) (/.f64 -4992549864024149/36028797018963968 (-.f64 6 z))) (/.f64 5893731530977871/590295810358705651712 (-.f64 7 z))) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z))))) | |
| 1.2b | (*.f64 (/.f64 PI.f64 (sin.f64 (*.f64 PI.f64 z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (exp.f64 (log.f64 (+.f64 (/.f64 5893731530977871/590295810358705651712 (-.f64 7 z)) (+.f64 (/.f64 -4992549864024149/36028797018963968 (-.f64 6 z)) (+.f64 (/.f64 7041008316161153/562949953421312 (-.f64 5 z)) (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))))))))) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z))))) | |
| 1.2b | (/.f64 (*.f64 PI.f64 (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 PI.f64)))) (+.f64 (pow.f64 (+.f64 777369958913643152449373/2951479051793528258560 (*.f64 z 58027045549583850709031327/132816557330708771635200)) 3) (pow.f64 (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)) 3)))) (*.f64 (sin.f64 (*.f64 PI.f64 z)) (+.f64 (*.f64 (+.f64 777369958913643152449373/2951479051793528258560 (*.f64 z 58027045549583850709031327/132816557330708771635200)) (+.f64 777369958913643152449373/2951479051793528258560 (*.f64 z 58027045549583850709031327/132816557330708771635200))) (*.f64 (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)) (-.f64 (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)) (+.f64 777369958913643152449373/2951479051793528258560 (*.f64 z 58027045549583850709031327/132816557330708771635200))))))) |
Compiled 3508 to 2568 computations (26.8% saved)
Total 0.4b remaining (90.8%)
Threshold costs 0.4b (90.8%)
Compiled 37134 to 29628 computations (20.2% saved)
| 1× | egg-herbie |
| 14× | *-commutative_binary64 |
| 13× | +-commutative_binary64 |
| 11× | sub-neg_binary64 |
| 1× | 1-exp_binary64 neg-mul-1_binary64 neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 133 |
| 1 | 98 | 133 |
| 2 | 111 | 133 |
| 3 | 113 | 133 |
| 4 | 114 | 133 |
| 5 | 113 | 133 |
Compiled 84 to 70 computations (16.7% saved)
| 1× | intervals |
| 42.9s | 3866× | body | 8192 | exit |
| 2.4s | 8000× | body | 128 | valid |
| 227.0ms | 11960× | pre | 128 | true |
| 30.0ms | 94× | body | 128 | invalid |
Compiled 802 to 664 computations (17.2% saved)
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