Time bar (total: 1.1min)
| 1× | search |
| 2× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4804 | 115 |
| 1 | 4804 | 115 |
| 0 | 1 | 1 |
| 1 | 1 | 1 |
| 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 126 to 112 computations (11.1% saved)
| 1× | intervals |
| 1.3s | 120× | body | 8192 | exit |
| 77.0ms | 256× | body | 128 | valid |
| 6.0ms | 380× | pre | 128 | true |
| 1.0ms | 4× | body | 128 | invalid |
Compiled 249 to 223 computations (10.4% saved)
| 1× | egg-herbie |
Useful iterations: 0 (41.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4804 | 115 |
| 1 | 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 |
Compiled 271 to 232 computations (14.4% saved)
Found 4 expressions with local error:
| 6.2b | (-.f64 (-.f64 1 z) 1) |
| 6.2b | (-.f64 (-.f64 1 z) 1) |
| 6.2b | (-.f64 (-.f64 1 z) 1) |
| 6.2b | (-.f64 (-.f64 1 z) 1) |
| 1× | rewrite-expression-head |
| 36× | *-un-lft-identity_binary64_3147 |
| 28× | add-sqr-sqrt_binary64_3169 |
| 24× | add-log-exp_binary64_3186 cancel-sign-sub-inv_binary64_3113 |
| 16× | associate--l+_binary64_3084 |
| 12× | diff-log_binary64_3239 add-cube-cbrt_binary64_3182 distribute-lft-out--_binary64_3099 |
| 8× | sub-neg_binary64_3140 difference-of-squares_binary64_3116 |
| 4× | pow1_binary64_3208 add-exp-log_binary64_3185 add-cbrt-cube_binary64_3183 flip3--_binary64_3151 flip--_binary64_3122 difference-of-sqr-1_binary64_3117 associate--l-_binary64_3085 |
4 calls:
| 14.0ms | (-.f64 (-.f64 1 z) 1) |
| 9.0ms | (-.f64 (-.f64 1 z) 1) |
| 9.0ms | (-.f64 (-.f64 1 z) 1) |
| 9.0ms | (-.f64 (-.f64 1 z) 1) |
Compiled 11372 to 9694 computations (14.8% saved)
4 calls:
| 50.0ms | (-.f64 (-.f64 1 z) 1) |
| 50.0ms | (-.f64 (-.f64 1 z) 1) |
| 50.0ms | (-.f64 (-.f64 1 z) 1) |
| 49.0ms | (-.f64 (-.f64 1 z) 1) |
Compiled 3388 to 3009 computations (11.2% saved)
| 1× | egg-herbie |
Useful iterations: 0 (59.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5392 | 704 |
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 112 | 0 | 112 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 112 | 2 | 114 |
Compiled 7566 to 6377 computations (15.7% saved)
Found 4 expressions with local error:
| 0.9b | (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 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)) |
| 2.5b | (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) |
| 1× | rewrite-expression-head |
| 19× | *-un-lft-identity_binary64_3147 |
| 18× | add-log-exp_binary64_3186 |
| 10× | add-exp-log_binary64_3185 |
| 9× | sum-log_binary64_3238 pow1_binary64_3208 add-cbrt-cube_binary64_3183 distribute-lft-out_binary64_3098 |
| 8× | frac-add_binary64_3155 |
| 7× | prod-exp_binary64_3196 |
| 5× | add-cube-cbrt_binary64_3182 add-sqr-sqrt_binary64_3169 flip3-+_binary64_3150 flip-+_binary64_3121 |
| 4× | associate-*r*_binary64_3087 |
| 3× | cbrt-unprod_binary64_3180 |
| 2× | associate-+l+_binary64_3080 +-commutative_binary64_3077 pow-prod-down_binary64_3218 sqrt-pow1_binary64_3165 |
| 1× | pow1/2_binary64_3227 sqrt-prod_binary64_3163 pow-to-exp_binary64_3216 pow-exp_binary64_3215 pow-sub_binary64_3223 associate-*r/_binary64_3089 associate-*l/_binary64_3090 associate-*l*_binary64_3088 exp-sum_binary64_3193 *-commutative_binary64_3078 |
4 calls:
| 37.0ms | (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) |
| 23.0ms | (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) |
| 16.0ms | (*.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 5591 to 4335 computations (22.5% saved)
4 calls:
| 312.0ms | (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 94.0ms | (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) |
| 82.0ms | (+.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 4348 to 3504 computations (19.4% saved)
| 1× | egg-herbie |
Useful iterations: 0 (34.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5760 | 2977 |
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 95 | 5 | 100 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 96 | 6 | 102 |
Compiled 6806 to 5257 computations (22.8% saved)
Found 4 expressions with local error:
| 0.9b | (+.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 (/.f64 35411260005907793929140321087001/77371252455336267181195264 (-.f64 1 z)) -3349966604360028729823972713705/4951760157141521099596496896) (-.f64 1 z))))) (*.f64 (-.f64 2 z) (+.f64 316912650056936879084143652025/316912650057057350374175801344 (/.f64 (+.f64 (/.f64 35411260005907793929140321087001/77371252455336267181195264 (-.f64 1 z)) -3349966604360028729823972713705/4951760157141521099596496896) (-.f64 1 z))))) (/.f64 848079078717083/1099511627776 (-.f64 3 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 (-.f64 2 z) (+.f64 178405961588143256171617450107358831776190125/178405961588244985132285746181186892047843328 (pow.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) 3))) (*.f64 -5537752839100187/4398046511104 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (/.f64 (+.f64 (/.f64 35411260005907793929140321087001/77371252455336267181195264 (-.f64 1 z)) -3349966604360028729823972713705/4951760157141521099596496896) (-.f64 1 z))))) |
| 1× | rewrite-expression-head |
| 21× | associate-*r/_binary64_3089 |
| 17× | frac-add_binary64_3155 |
| 16× | flip3-+_binary64_3150 flip-+_binary64_3121 |
| 10× | add-exp-log_binary64_3185 |
| 9× | pow1_binary64_3208 add-cbrt-cube_binary64_3183 |
| 8× | add-log-exp_binary64_3186 frac-times_binary64_3157 |
| 7× | *-un-lft-identity_binary64_3147 prod-exp_binary64_3196 |
| 6× | flip3--_binary64_3151 flip--_binary64_3122 |
| 5× | add-cube-cbrt_binary64_3182 add-sqr-sqrt_binary64_3169 associate-*l/_binary64_3090 |
| 4× | associate-*r*_binary64_3087 |
| 3× | cbrt-unprod_binary64_3180 |
| 2× | sum-log_binary64_3238 distribute-rgt-in_binary64_3097 associate-+l+_binary64_3080 distribute-lft-in_binary64_3096 associate-+r+_binary64_3079 +-commutative_binary64_3077 pow-prod-down_binary64_3218 sqrt-pow1_binary64_3165 |
| 1× | pow1/2_binary64_3227 sqrt-prod_binary64_3163 pow-to-exp_binary64_3216 pow-exp_binary64_3215 pow-sub_binary64_3223 associate-*l*_binary64_3088 exp-sum_binary64_3193 *-commutative_binary64_3078 distribute-lft-out_binary64_3098 |
4 calls:
| 81.0ms | (+.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 (/.f64 35411260005907793929140321087001/77371252455336267181195264 (-.f64 1 z)) -3349966604360028729823972713705/4951760157141521099596496896) (-.f64 1 z))))) (*.f64 (-.f64 2 z) (+.f64 316912650056936879084143652025/316912650057057350374175801344 (/.f64 (+.f64 (/.f64 35411260005907793929140321087001/77371252455336267181195264 (-.f64 1 z)) -3349966604360028729823972713705/4951760157141521099596496896) (-.f64 1 z))))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) |
| 35.0ms | (+.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 (/.f64 35411260005907793929140321087001/77371252455336267181195264 (-.f64 1 z)) -3349966604360028729823972713705/4951760157141521099596496896) (-.f64 1 z))))) |
| 17.0ms | (*.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 10790 to 8699 computations (19.4% saved)
4 calls:
| 314.0ms | (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 259.0ms | (+.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 (/.f64 35411260005907793929140321087001/77371252455336267181195264 (-.f64 1 z)) -3349966604360028729823972713705/4951760157141521099596496896) (-.f64 1 z))))) (*.f64 (-.f64 2 z) (+.f64 316912650056936879084143652025/316912650057057350374175801344 (/.f64 (+.f64 (/.f64 35411260005907793929140321087001/77371252455336267181195264 (-.f64 1 z)) -3349966604360028729823972713705/4951760157141521099596496896) (-.f64 1 z))))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) |
| 86.0ms | (+.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 (/.f64 35411260005907793929140321087001/77371252455336267181195264 (-.f64 1 z)) -3349966604360028729823972713705/4951760157141521099596496896) (-.f64 1 z))))) |
| 0.0ms | (sqrt.f64 (*.f64 PI.f64 2)) |
Compiled 4514 to 3666 computations (18.8% saved)
| 1× | egg-herbie |
Useful iterations: 0 (28.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5108 | 6361 |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 96 | 4 | 100 |
| Fresh | 0 | 4 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 97 | 9 | 106 |
Compiled 11911 to 9552 computations (19.8% saved)
Found 4 expressions with local error:
| 1.0b | (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 PI.f64))) (*.f64 (cbrt.f64 (exp.f64 (+.f64 z -15/2))) (cbrt.f64 (exp.f64 (+.f64 z -15/2))))) (cbrt.f64 (exp.f64 (+.f64 z -15/2)))) |
| 1.0b | (*.f64 (cbrt.f64 (exp.f64 (+.f64 z -15/2))) (cbrt.f64 (exp.f64 (+.f64 z -15/2)))) |
| 1.0b | (sqrt.f64 (*.f64 2 PI.f64)) |
| 2.6b | (+.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 (/.f64 35411260005907793929140321087001/77371252455336267181195264 (-.f64 1 z)) -3349966604360028729823972713705/4951760157141521099596496896) (-.f64 1 z))))) |
| 1× | rewrite-expression-head |
| 40× | add-exp-log_binary64_3185 |
| 28× | prod-exp_binary64_3196 |
| 24× | cbrt-prod_binary64_3178 |
| 23× | pow1_binary64_3208 |
| 22× | add-sqr-sqrt_binary64_3169 |
| 20× | associate-*r/_binary64_3089 |
| 16× | frac-add_binary64_3155 |
| 15× | flip3-+_binary64_3150 flip-+_binary64_3121 |
| 14× | add-cube-cbrt_binary64_3182 *-un-lft-identity_binary64_3147 cbrt-unprod_binary64_3180 associate-*r*_binary64_3087 |
| 13× | add-cbrt-cube_binary64_3183 |
| 9× | pow-prod-down_binary64_3218 |
| 8× | frac-times_binary64_3157 associate-*l*_binary64_3088 |
| 7× | associate-*l/_binary64_3090 swap-sqr_binary64_3114 |
| 6× | add-log-exp_binary64_3186 flip3--_binary64_3151 flip--_binary64_3122 pow1/3_binary64_3229 |
| 5× | exp-sum_binary64_3193 |
| 4× | unswap-sqr_binary64_3115 |
| 2× | distribute-rgt-in_binary64_3097 associate-+l+_binary64_3080 distribute-lft-in_binary64_3096 associate-+r+_binary64_3079 sqrt-pow1_binary64_3165 pow-prod-up_binary64_3217 pow-sqr_binary64_3120 *-commutative_binary64_3078 pow-to-exp_binary64_3216 pow-exp_binary64_3215 |
| 1× | sum-log_binary64_3238 +-commutative_binary64_3077 pow1/2_binary64_3227 sqrt-prod_binary64_3163 pow2_binary64_3228 pow-plus_binary64_3210 pow-sub_binary64_3223 |
4 calls:
| 33.0ms | (+.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 (/.f64 35411260005907793929140321087001/77371252455336267181195264 (-.f64 1 z)) -3349966604360028729823972713705/4951760157141521099596496896) (-.f64 1 z))))) |
| 30.0ms | (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 PI.f64))) (*.f64 (cbrt.f64 (exp.f64 (+.f64 z -15/2))) (cbrt.f64 (exp.f64 (+.f64 z -15/2))))) (cbrt.f64 (exp.f64 (+.f64 z -15/2)))) |
| 13.0ms | (*.f64 (cbrt.f64 (exp.f64 (+.f64 z -15/2))) (cbrt.f64 (exp.f64 (+.f64 z -15/2)))) |
| 2.0ms | (sqrt.f64 (*.f64 2 PI.f64)) |
Compiled 16046 to 12915 computations (19.5% saved)
4 calls:
| 307.0ms | (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 PI.f64))) (*.f64 (cbrt.f64 (exp.f64 (+.f64 z -15/2))) (cbrt.f64 (exp.f64 (+.f64 z -15/2))))) (cbrt.f64 (exp.f64 (+.f64 z -15/2)))) |
| 259.0ms | (*.f64 (cbrt.f64 (exp.f64 (+.f64 z -15/2))) (cbrt.f64 (exp.f64 (+.f64 z -15/2)))) |
| 93.0ms | (+.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 (/.f64 35411260005907793929140321087001/77371252455336267181195264 (-.f64 1 z)) -3349966604360028729823972713705/4951760157141521099596496896) (-.f64 1 z))))) |
| 0.0ms | (sqrt.f64 (*.f64 2 PI.f64)) |
Compiled 5039 to 4159 computations (17.5% saved)
| 1× | egg-herbie |
Useful iterations: 0 (30.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5252 | 6209 |
9 alts after pruning (7 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 136 | 1 | 137 |
| Fresh | 1 | 6 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 137 | 9 | 146 |
Compiled 14001 to 11229 computations (19.8% saved)
Total 0.2b remaining (38.7%)
Threshold costs 0.2b (38.7%)
Compiled 97726 to 82044 computations (16% saved)
| 1× | egg-herbie |
Useful iterations: 0 (2.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 131 | 196 |
| 1 | 131 | 196 |
Compiled 125 to 103 computations (17.6% saved)
| 1× | intervals |
| 42.2s | 3809× | body | 8192 | exit |
| 2.4s | 8000× | body | 128 | valid |
| 219.0ms | 11902× | pre | 128 | true |
| 30.0ms | 93× | body | 128 | invalid |
Compiled 1485 to 1265 computations (14.8% saved)
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