Time bar (total: 1.5min)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 12.5% | 87.4% | 0.1% | 7 |
| 31.2% | 68.6% | 0.1% | 8 |
| 39% | 57.7% | 3.3% | 9 |
| 47.6% | 46% | 6.4% | 10 |
| 58.1% | 35.5% | 6.4% | 11 |
| 62.2% | 29.1% | 8.7% | 12 |
| 66.2% | 22.7% | 11.1% | 13 |
| 71.3% | 17.6% | 11.1% | 14 |
Compiled 8 to 8 computations (0% saved)
| 1× | intervals |
| 6.0ms | 256× | body | 128 | valid |
| 1.0ms | 27× | body | 128 | invalid |
Compiled 15 to 18 computations (-20% saved)
| 1× | egg-herbie |
Useful iterations: 0 (16.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 241 | 10 |
| 1 | 241 | 10 |
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 7 to 7 computations (0% saved)
Found 2 expressions with local error:
| 2.0b | (*.f64 x (-.f64 1 (*.f64 y z))) |
| 2.0b | (*.f64 x (-.f64 1 (*.f64 y z))) |
| 1× | rewrite-expression-head |
| 5× | add-sqr-sqrt_binary64_9989 |
| 3× | add-cbrt-cube_binary64_10003 associate-*l*_binary64_9908 associate-*r*_binary64_9907 add-cube-cbrt_binary64_10002 add-exp-log_binary64_10005 *-un-lft-identity_binary64_9967 pow1_binary64_10028 |
| 2× | sub-neg_binary64_9960 distribute-lft-in_binary64_9916 distribute-rgt-in_binary64_9917 associate-*r/_binary64_9909 cancel-sign-sub-inv_binary64_9933 |
| 1× | flip--_binary64_9942 prod-exp_binary64_10016 cbrt-unprod_binary64_10000 flip3--_binary64_9971 pow-prod-down_binary64_10038 add-log-exp_binary64_10006 unswap-sqr_binary64_9935 *-commutative_binary64_9898 |
2 calls:
| 7.0ms | (*.f64 x (-.f64 1 (*.f64 y z))) |
| 0.0ms | (*.f64 x (-.f64 1 (*.f64 y z))) |
1 calls:
| 118.0ms | (*.f64 x (-.f64 1 (*.f64 y z))) |
Compiled 156 to 148 computations (5.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (70.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4868 | 429 |
| 1 | 4868 | 429 |
18 alts after pruning (17 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 22 | 17 | 39 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 1 | 1 |
| Total | 22 | 18 | 40 |
Compiled 471 to 302 computations (35.9% saved)
Found 4 expressions with local error:
| 5.4b | (*.f64 x (neg.f64 (*.f64 y z))) |
| 0.0b | (+.f64 x (*.f64 x (neg.f64 (*.f64 y z)))) |
| 0.0b | (+.f64 x (*.f64 x (neg.f64 (*.f64 y z)))) |
| 5.4b | (*.f64 x (neg.f64 (*.f64 y z))) |
| 1× | rewrite-expression-head |
| 6× | add-sqr-sqrt_binary64_9989 associate-*r*_binary64_9907 |
| 4× | add-cbrt-cube_binary64_10003 add-cube-cbrt_binary64_10002 add-log-exp_binary64_10006 add-exp-log_binary64_10005 *-un-lft-identity_binary64_9967 pow1_binary64_10028 |
| 3× | associate-*l*_binary64_9908 |
| 2× | distribute-rgt-neg-out_binary64_9927 |
| 1× | distribute-rgt-neg-in_binary64_9925 flip3-+_binary64_9970 prod-exp_binary64_10016 cbrt-unprod_binary64_10000 unsub-neg_binary64_9961 flip-+_binary64_9941 pow-prod-down_binary64_10038 +-commutative_binary64_9897 sum-log_binary64_10058 unswap-sqr_binary64_9935 distribute-lft-neg-in_binary64_9924 neg-mul-1_binary64_9963 *-commutative_binary64_9898 |
4 calls:
| 6.0ms | (*.f64 x (neg.f64 (*.f64 y z))) |
| 3.0ms | (+.f64 x (*.f64 x (neg.f64 (*.f64 y z)))) |
| 0.0ms | (+.f64 x (*.f64 x (neg.f64 (*.f64 y z)))) |
| 0.0ms | (*.f64 x (neg.f64 (*.f64 y z))) |
2 calls:
| 125.0ms | (+.f64 x (*.f64 x (neg.f64 (*.f64 y z)))) |
| 115.0ms | (*.f64 x (neg.f64 (*.f64 y z))) |
Compiled 322 to 296 computations (8.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (64.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4923 | 620 |
| 1 | 4923 | 620 |
Found 2 expressions with local error:
| 5.4b | (*.f64 x (neg.f64 (*.f64 y z))) |
| 5.4b | (*.f64 x (neg.f64 (*.f64 y z))) |
| 1× | rewrite-expression-head |
| 6× | associate-*r*_binary64_9907 |
| 5× | add-sqr-sqrt_binary64_9989 |
| 3× | add-cbrt-cube_binary64_10003 associate-*l*_binary64_9908 add-cube-cbrt_binary64_10002 add-exp-log_binary64_10005 *-un-lft-identity_binary64_9967 pow1_binary64_10028 |
| 1× | distribute-rgt-neg-in_binary64_9925 distribute-rgt-neg-out_binary64_9927 prod-exp_binary64_10016 cbrt-unprod_binary64_10000 pow-prod-down_binary64_10038 add-log-exp_binary64_10006 unswap-sqr_binary64_9935 distribute-lft-neg-in_binary64_9924 neg-mul-1_binary64_9963 *-commutative_binary64_9898 |
2 calls:
| 5.0ms | (*.f64 x (neg.f64 (*.f64 y z))) |
| 0.0ms | (*.f64 x (neg.f64 (*.f64 y z))) |
1 calls:
| 118.0ms | (*.f64 x (neg.f64 (*.f64 y z))) |
Compiled 126 to 126 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 0 (78.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4805 | 314 |
| 1 | 4805 | 314 |
Found 8 expressions with local error:
| 2.8b | (*.f64 x (-.f64 1 (pow.f64 (*.f64 y z) 3))) |
| 1.4b | (+.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 1 (*.f64 y z))) |
| 0.3b | (*.f64 (*.f64 y z) (*.f64 y z)) |
| 0.2b | (pow.f64 (*.f64 y z) 3) |
| 0.3b | (*.f64 (*.f64 y z) (*.f64 y z)) |
| 1.4b | (+.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 1 (*.f64 y z))) |
| 2.8b | (*.f64 x (-.f64 1 (pow.f64 (*.f64 y z) 3))) |
| 12.3b | (/.f64 (*.f64 x (-.f64 1 (pow.f64 (*.f64 y z) 3))) (+.f64 (*.f64 1 1) (+.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 1 (*.f64 y z))))) |
| 1× | rewrite-expression-head |
| 45× | pow1_binary64_10028 |
| 23× | add-cbrt-cube_binary64_10003 add-exp-log_binary64_10005 |
| 18× | pow-prod-down_binary64_10038 |
| 16× | add-sqr-sqrt_binary64_9989 *-un-lft-identity_binary64_9967 cancel-sign-sub-inv_binary64_9933 |
| 10× | prod-exp_binary64_10016 cbrt-unprod_binary64_10000 add-cube-cbrt_binary64_10002 |
| 9× | associate-*r*_binary64_9907 distribute-lft-in_binary64_9916 distribute-rgt-in_binary64_9917 |
| 6× | add-log-exp_binary64_10006 |
| 4× | times-frac_binary64_9973 associate-*l*_binary64_9908 difference-of-squares_binary64_9936 sqr-pow_binary64_9939 associate-/r*_binary64_9911 associate-*r/_binary64_9909 pow-sqr_binary64_9940 pow-prod-up_binary64_10037 |
| 2× | flip--_binary64_9942 div-exp_binary64_10018 flip3-+_binary64_9970 cbrt-undiv_binary64_10001 distribute-lft-out_binary64_9918 flip3--_binary64_9971 associate-/l/_binary64_9914 sub-neg_binary64_9960 cube-prod_binary64_9995 flip-+_binary64_9941 unpow-prod-down_binary64_10046 cube-mult_binary64_9997 unpow3_binary64_10033 pow-plus_binary64_10030 associate-/r/_binary64_9913 *-commutative_binary64_9898 |
| 1× | distribute-rgt-out_binary64_9920 swap-sqr_binary64_9934 associate-/l*_binary64_9912 pow2_binary64_10048 +-commutative_binary64_9897 sum-log_binary64_10058 unswap-sqr_binary64_9935 div-inv_binary64_9964 distribute-lft-out--_binary64_9919 frac-2neg_binary64_9978 clear-num_binary64_9966 |
8 calls:
| 19.0ms | (/.f64 (*.f64 x (-.f64 1 (pow.f64 (*.f64 y z) 3))) (+.f64 (*.f64 1 1) (+.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 1 (*.f64 y z))))) |
| 10.0ms | (*.f64 x (-.f64 1 (pow.f64 (*.f64 y z) 3))) |
| 9.0ms | (+.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 1 (*.f64 y z))) |
| 7.0ms | (*.f64 (*.f64 y z) (*.f64 y z)) |
| 0.0ms | (pow.f64 (*.f64 y z) 3) |
4 calls:
| 495.0ms | (/.f64 (*.f64 x (-.f64 1 (pow.f64 (*.f64 y z) 3))) (+.f64 (*.f64 1 1) (+.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 1 (*.f64 y z))))) |
| 321.0ms | (*.f64 x (-.f64 1 (pow.f64 (*.f64 y z) 3))) |
| 138.0ms | (+.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 1 (*.f64 y z))) |
| 82.0ms | (*.f64 (*.f64 y z) (*.f64 y z)) |
Compiled 1682 to 1330 computations (20.9% saved)
| 1× | egg-herbie |
Useful iterations: 0 (70.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4962 | 2470 |
| 1 | 4962 | 2470 |
Found 4 expressions with local error:
| 0.6b | (*.f64 (sqrt.f64 x) (*.f64 (-.f64 1 (*.f64 y z)) (sqrt.f64 x))) |
| 0.3b | (*.f64 (-.f64 1 (*.f64 y z)) (sqrt.f64 x)) |
| 0.3b | (*.f64 (-.f64 1 (*.f64 y z)) (sqrt.f64 x)) |
| 0.6b | (*.f64 (sqrt.f64 x) (*.f64 (-.f64 1 (*.f64 y z)) (sqrt.f64 x))) |
| 1× | rewrite-expression-head |
| 11× | add-sqr-sqrt_binary64_9989 |
| 9× | add-cbrt-cube_binary64_10003 associate-*l*_binary64_9908 add-exp-log_binary64_10005 pow1_binary64_10028 |
| 7× | associate-*r*_binary64_9907 add-cube-cbrt_binary64_10002 *-un-lft-identity_binary64_9967 sqrt-prod_binary64_9983 |
| 4× | prod-exp_binary64_10016 cbrt-unprod_binary64_10000 associate-*l/_binary64_9910 pow-prod-down_binary64_10038 |
| 2× | flip--_binary64_9942 flip3--_binary64_9971 add-log-exp_binary64_10006 unswap-sqr_binary64_9935 associate-*r/_binary64_9909 *-commutative_binary64_9898 |
4 calls:
| 10.0ms | (*.f64 (sqrt.f64 x) (*.f64 (-.f64 1 (*.f64 y z)) (sqrt.f64 x))) |
| 10.0ms | (*.f64 (-.f64 1 (*.f64 y z)) (sqrt.f64 x)) |
| 0.0ms | (*.f64 (-.f64 1 (*.f64 y z)) (sqrt.f64 x)) |
| 0.0ms | (*.f64 (sqrt.f64 x) (*.f64 (-.f64 1 (*.f64 y z)) (sqrt.f64 x))) |
2 calls:
| 140.0ms | (*.f64 (-.f64 1 (*.f64 y z)) (sqrt.f64 x)) |
| 116.0ms | (*.f64 (sqrt.f64 x) (*.f64 (-.f64 1 (*.f64 y z)) (sqrt.f64 x))) |
Compiled 498 to 398 computations (20.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (89.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4948 | 966 |
| 1 | 4948 | 966 |
Found 8 expressions with local error:
| 2.2b | (cbrt.f64 (-.f64 1 (*.f64 y z))) |
| 0.8b | (*.f64 x (*.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) (cbrt.f64 (-.f64 1 (*.f64 y z))))) |
| 0.2b | (*.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) (cbrt.f64 (-.f64 1 (*.f64 y z)))) |
| 0.1b | (*.f64 (*.f64 x (*.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) (cbrt.f64 (-.f64 1 (*.f64 y z))))) (cbrt.f64 (-.f64 1 (*.f64 y z)))) |
| 0.8b | (*.f64 x (*.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) (cbrt.f64 (-.f64 1 (*.f64 y z))))) |
| 2.2b | (cbrt.f64 (-.f64 1 (*.f64 y z))) |
| 2.2b | (cbrt.f64 (-.f64 1 (*.f64 y z))) |
| 2.2b | (cbrt.f64 (-.f64 1 (*.f64 y z))) |
| 1× | rewrite-expression-head |
| 18× | cbrt-div_binary64_9999 |
| 10× | associate-*r/_binary64_9909 |
| 9× | flip--_binary64_9942 add-sqr-sqrt_binary64_9989 flip3--_binary64_9971 add-exp-log_binary64_10005 cbrt-prod_binary64_9998 pow1_binary64_10028 |
| 8× | add-cube-cbrt_binary64_10002 *-un-lft-identity_binary64_9967 |
| 7× | add-cbrt-cube_binary64_10003 |
| 4× | frac-times_binary64_9977 add-log-exp_binary64_10006 |
| 3× | pow1/3_binary64_10049 prod-exp_binary64_10016 cbrt-unprod_binary64_10000 associate-*l*_binary64_9908 pow-prod-down_binary64_10038 |
| 2× | associate-*l/_binary64_9910 |
| 1× | associate-*r*_binary64_9907 unswap-sqr_binary64_9935 *-commutative_binary64_9898 |
8 calls:
| 12.0ms | (*.f64 x (*.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) (cbrt.f64 (-.f64 1 (*.f64 y z))))) |
| 3.0ms | (cbrt.f64 (-.f64 1 (*.f64 y z))) |
| 3.0ms | (cbrt.f64 (-.f64 1 (*.f64 y z))) |
| 3.0ms | (cbrt.f64 (-.f64 1 (*.f64 y z))) |
| 0.0ms | (*.f64 (*.f64 x (*.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) (cbrt.f64 (-.f64 1 (*.f64 y z))))) (cbrt.f64 (-.f64 1 (*.f64 y z)))) |
4 calls:
| 447.0ms | (*.f64 x (*.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) (cbrt.f64 (-.f64 1 (*.f64 y z))))) |
| 176.0ms | (cbrt.f64 (-.f64 1 (*.f64 y z))) |
| 175.0ms | (cbrt.f64 (-.f64 1 (*.f64 y z))) |
| 170.0ms | (cbrt.f64 (-.f64 1 (*.f64 y z))) |
Compiled 4010 to 3167 computations (21% saved)
| 1× | egg-herbie |
Useful iterations: 0 (79.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4976 | 3387 |
| 1 | 4976 | 3387 |
198 alts after pruning (192 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 298 | 183 | 481 |
| Fresh | 3 | 9 | 12 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 6 | 6 |
| Total | 301 | 198 | 499 |
Compiled 12216 to 7058 computations (42.2% saved)
Found 2 expressions with local error:
| 2.0b | (*.f64 x (-.f64 1 (*.f64 y z))) |
| 2.0b | (*.f64 x (-.f64 1 (*.f64 y z))) |
| 1× | rewrite-expression-head |
| 5× | add-sqr-sqrt_binary64_9989 |
| 3× | add-cbrt-cube_binary64_10003 associate-*l*_binary64_9908 associate-*r*_binary64_9907 add-cube-cbrt_binary64_10002 add-exp-log_binary64_10005 *-un-lft-identity_binary64_9967 pow1_binary64_10028 |
| 2× | sub-neg_binary64_9960 distribute-lft-in_binary64_9916 distribute-rgt-in_binary64_9917 associate-*r/_binary64_9909 cancel-sign-sub-inv_binary64_9933 |
| 1× | flip--_binary64_9942 prod-exp_binary64_10016 cbrt-unprod_binary64_10000 flip3--_binary64_9971 pow-prod-down_binary64_10038 add-log-exp_binary64_10006 unswap-sqr_binary64_9935 *-commutative_binary64_9898 |
2 calls:
| 6.0ms | (*.f64 x (-.f64 1 (*.f64 y z))) |
| 0.0ms | (*.f64 x (-.f64 1 (*.f64 y z))) |
1 calls:
| 122.0ms | (*.f64 x (-.f64 1 (*.f64 y z))) |
Compiled 204 to 196 computations (3.9% saved)
| 1× | egg-herbie |
Useful iterations: 0 (77.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4868 | 429 |
| 1 | 4868 | 429 |
Found 2 expressions with local error:
| 6.3b | (*.f64 (*.f64 x y) (neg.f64 z)) |
| 6.3b | (*.f64 (*.f64 x y) (neg.f64 z)) |
| 1× | rewrite-expression-head |
| 10× | associate-*r*_binary64_9907 |
| 6× | add-cbrt-cube_binary64_10003 add-exp-log_binary64_10005 pow1_binary64_10028 |
| 4× | add-sqr-sqrt_binary64_9989 add-cube-cbrt_binary64_10002 *-un-lft-identity_binary64_9967 |
| 3× | distribute-rgt-neg-in_binary64_9925 prod-exp_binary64_10016 cbrt-unprod_binary64_10000 pow-prod-down_binary64_10038 distribute-lft-neg-in_binary64_9924 |
| 1× | distribute-rgt-neg-out_binary64_9927 associate-*l*_binary64_9908 add-log-exp_binary64_10006 neg-mul-1_binary64_9963 *-commutative_binary64_9898 |
2 calls:
| 7.0ms | (*.f64 (*.f64 x y) (neg.f64 z)) |
| 0.0ms | (*.f64 (*.f64 x y) (neg.f64 z)) |
1 calls:
| 110.0ms | (*.f64 (*.f64 x y) (neg.f64 z)) |
Compiled 126 to 126 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 0 (88.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4846 | 348 |
| 1 | 4846 | 348 |
Found 8 expressions with local error:
| 2.8b | (*.f64 x (+.f64 (pow.f64 (*.f64 y z) 3) -1)) |
| 1.4b | (+.f64 (*.f64 y z) (pow.f64 (*.f64 y z) 2)) |
| 0.3b | (pow.f64 (*.f64 y z) 2) |
| 0.2b | (pow.f64 (*.f64 y z) 3) |
| 0.3b | (pow.f64 (*.f64 y z) 2) |
| 1.4b | (+.f64 (*.f64 y z) (pow.f64 (*.f64 y z) 2)) |
| 2.8b | (*.f64 x (+.f64 (pow.f64 (*.f64 y z) 3) -1)) |
| 12.3b | (/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 y z) 3) -1)) (-.f64 -1 (+.f64 (*.f64 y z) (pow.f64 (*.f64 y z) 2)))) |
| 1× | rewrite-expression-head |
| 16× | add-sqr-sqrt_binary64_9989 |
| 15× | *-un-lft-identity_binary64_9967 |
| 14× | add-exp-log_binary64_10005 |
| 11× | add-cbrt-cube_binary64_10003 |
| 9× | add-cube-cbrt_binary64_10002 pow1_binary64_10028 |
| 6× | associate-*r*_binary64_9907 add-log-exp_binary64_10006 |
| 5× | times-frac_binary64_9973 associate-/r*_binary64_9911 |
| 4× | associate-*r/_binary64_9909 |
| 3× | flip3-+_binary64_9970 prod-exp_binary64_10016 associate-*l*_binary64_9908 flip-+_binary64_9941 pow-unpow_binary64_10044 |
| 2× | div-exp_binary64_10018 cbrt-undiv_binary64_10001 cbrt-unprod_binary64_10000 associate-/l/_binary64_9914 difference-of-squares_binary64_9936 unpow2_binary64_10032 pow-prod-down_binary64_10038 sqr-pow_binary64_9939 difference-of-sqr--1_binary64_9938 distribute-lft-out--_binary64_9919 associate-/r/_binary64_9913 pow-exp_binary64_10035 pow-pow_binary64_10039 |
| 1× | flip--_binary64_9942 distribute-lft-out_binary64_9918 flip3--_binary64_9971 pow-to-exp_binary64_10036 distribute-rgt1-in_binary64_9923 distribute-lft-in_binary64_9916 associate-/l*_binary64_9912 unpow-prod-down_binary64_10046 distribute-rgt-in_binary64_9917 +-commutative_binary64_9897 sum-log_binary64_10058 unswap-sqr_binary64_9935 div-inv_binary64_9964 frac-2neg_binary64_9978 clear-num_binary64_9966 *-commutative_binary64_9898 |
8 calls:
| 16.0ms | (/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 y z) 3) -1)) (-.f64 -1 (+.f64 (*.f64 y z) (pow.f64 (*.f64 y z) 2)))) |
| 9.0ms | (*.f64 x (+.f64 (pow.f64 (*.f64 y z) 3) -1)) |
| 5.0ms | (+.f64 (*.f64 y z) (pow.f64 (*.f64 y z) 2)) |
| 4.0ms | (pow.f64 (*.f64 y z) 2) |
| 0.0ms | (pow.f64 (*.f64 y z) 3) |
4 calls:
| 564.0ms | (/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 y z) 3) -1)) (-.f64 -1 (+.f64 (*.f64 y z) (pow.f64 (*.f64 y z) 2)))) |
| 330.0ms | (*.f64 x (+.f64 (pow.f64 (*.f64 y z) 3) -1)) |
| 125.0ms | (+.f64 (*.f64 y z) (pow.f64 (*.f64 y z) 2)) |
| 64.0ms | (pow.f64 (*.f64 y z) 2) |
Compiled 1462 to 1182 computations (19.2% saved)
| 1× | egg-herbie |
Useful iterations: 0 (67.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5145 | 2268 |
Found 8 expressions with local error:
| 0.3b | (*.f64 (*.f64 y z) (*.f64 y z)) |
| 0.2b | (*.f64 (-.f64 (*.f64 x (cbrt.f64 (*.f64 (*.f64 y z) (*.f64 y z)))) (*.f64 (/.f64 (*.f64 x (cbrt.f64 (*.f64 (*.f64 y z) (*.f64 y z)))) (*.f64 y z)) (+.f64 2/3 (/.f64 1/9 (*.f64 y z))))) (cbrt.f64 (-.f64 1 (*.f64 y z)))) |
| 0.0b | (-.f64 (*.f64 x (cbrt.f64 (*.f64 (*.f64 y z) (*.f64 y z)))) (*.f64 (/.f64 (*.f64 x (cbrt.f64 (*.f64 (*.f64 y z) (*.f64 y z)))) (*.f64 y z)) (+.f64 2/3 (/.f64 1/9 (*.f64 y z))))) |
| 0.0b | (+.f64 2/3 (/.f64 1/9 (*.f64 y z))) |
| 2.7b | (*.f64 x (cbrt.f64 (*.f64 (*.f64 y z) (*.f64 y z)))) |
| 13.1b | (/.f64 (*.f64 x (cbrt.f64 (*.f64 (*.f64 y z) (*.f64 y z)))) (*.f64 y z)) |
| 27.8b | (cbrt.f64 (*.f64 (*.f64 y z) (*.f64 y z))) |
| 27.8b | (cbrt.f64 (*.f64 (*.f64 y z) (*.f64 y z))) |
| 1× | rewrite-expression-head |
| 18× | add-exp-log_binary64_10005 |
| 15× | add-cbrt-cube_binary64_10003 |
| 9× | add-sqr-sqrt_binary64_9989 |
| 6× | add-cube-cbrt_binary64_10002 *-un-lft-identity_binary64_9967 pow1_binary64_10028 |
| 5× | prod-exp_binary64_10016 cbrt-unprod_binary64_10000 |
| 4× | div-exp_binary64_10018 cbrt-undiv_binary64_10001 associate-*r*_binary64_9907 add-log-exp_binary64_10006 cbrt-prod_binary64_9998 |
| 3× | associate-*l*_binary64_9908 |
| 2× | pow1/3_binary64_10049 unswap-sqr_binary64_9935 |
| 1× | times-frac_binary64_9973 associate-/l*_binary64_9912 pow-prod-down_binary64_10038 div-inv_binary64_9964 associate-/r*_binary64_9911 frac-2neg_binary64_9978 clear-num_binary64_9966 *-commutative_binary64_9898 |
8 calls:
| 8.0ms | (/.f64 (*.f64 x (cbrt.f64 (*.f64 (*.f64 y z) (*.f64 y z)))) (*.f64 y z)) |
| 6.0ms | (cbrt.f64 (*.f64 (*.f64 y z) (*.f64 y z))) |
| 6.0ms | (*.f64 x (cbrt.f64 (*.f64 (*.f64 y z) (*.f64 y z)))) |
| 5.0ms | (cbrt.f64 (*.f64 (*.f64 y z) (*.f64 y z))) |
| 0.0ms | (+.f64 2/3 (/.f64 1/9 (*.f64 y z))) |
4 calls:
| 432.0ms | (*.f64 x (cbrt.f64 (*.f64 (*.f64 y z) (*.f64 y z)))) |
| 396.0ms | (/.f64 (*.f64 x (cbrt.f64 (*.f64 (*.f64 y z) (*.f64 y z)))) (*.f64 y z)) |
| 244.0ms | (cbrt.f64 (*.f64 (*.f64 y z) (*.f64 y z))) |
| 236.0ms | (cbrt.f64 (*.f64 (*.f64 y z) (*.f64 y z))) |
Compiled 2568 to 1722 computations (32.9% saved)
| 1× | egg-herbie |
Useful iterations: 0 (61.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5078 | 1405 |
Found 8 expressions with local error:
| 0.6b | (*.f64 (sqrt.f64 x) (*.f64 (*.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) (cbrt.f64 (-.f64 1 (*.f64 y z)))) (*.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 y z)))))) |
| 0.2b | (*.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) (cbrt.f64 (-.f64 1 (*.f64 y z)))) |
| 0.1b | (*.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 y z)))) |
| 0.0b | (*.f64 (*.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) (cbrt.f64 (-.f64 1 (*.f64 y z)))) (*.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 y z))))) |
| 0.6b | (*.f64 (sqrt.f64 x) (*.f64 (*.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) (cbrt.f64 (-.f64 1 (*.f64 y z)))) (*.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 y z)))))) |
| 2.2b | (cbrt.f64 (-.f64 1 (*.f64 y z))) |
| 2.2b | (cbrt.f64 (-.f64 1 (*.f64 y z))) |
| 2.2b | (cbrt.f64 (-.f64 1 (*.f64 y z))) |
| 1× | rewrite-expression-head |
| 60× | cbrt-div_binary64_9999 |
| 52× | associate-*r/_binary64_9909 |
| 30× | flip--_binary64_9942 flip3--_binary64_9971 |
| 28× | frac-times_binary64_9977 |
| 22× | add-exp-log_binary64_10005 pow1_binary64_10028 |
| 16× | add-cbrt-cube_binary64_10003 |
| 14× | associate-*l/_binary64_9910 |
| 13× | prod-exp_binary64_10016 cbrt-unprod_binary64_10000 pow-prod-down_binary64_10038 |
| 9× | add-sqr-sqrt_binary64_9989 add-cube-cbrt_binary64_10002 *-un-lft-identity_binary64_9967 cbrt-prod_binary64_9998 |
| 6× | associate-*l*_binary64_9908 |
| 4× | add-log-exp_binary64_10006 |
| 3× | pow1/3_binary64_10049 sqrt-prod_binary64_9983 |
| 1× | associate-*r*_binary64_9907 *-commutative_binary64_9898 |
8 calls:
| 24.0ms | (*.f64 (sqrt.f64 x) (*.f64 (*.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) (cbrt.f64 (-.f64 1 (*.f64 y z)))) (*.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 y z)))))) |
| 3.0ms | (cbrt.f64 (-.f64 1 (*.f64 y z))) |
| 3.0ms | (cbrt.f64 (-.f64 1 (*.f64 y z))) |
| 3.0ms | (cbrt.f64 (-.f64 1 (*.f64 y z))) |
| 0.0ms | (*.f64 (*.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) (cbrt.f64 (-.f64 1 (*.f64 y z)))) (*.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 y z))))) |
4 calls:
| 179.0ms | (cbrt.f64 (-.f64 1 (*.f64 y z))) |
| 176.0ms | (cbrt.f64 (-.f64 1 (*.f64 y z))) |
| 175.0ms | (cbrt.f64 (-.f64 1 (*.f64 y z))) |
| 128.0ms | (*.f64 (sqrt.f64 x) (*.f64 (*.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) (cbrt.f64 (-.f64 1 (*.f64 y z)))) (*.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 y z)))))) |
Compiled 3296 to 2490 computations (24.5% saved)
| 1× | egg-herbie |
Useful iterations: 0 (62.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4993 | 3978 |
| 1 | 4993 | 3978 |
344 alts after pruning (333 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 302 | 163 | 465 |
| Fresh | 17 | 170 | 187 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 11 | 11 |
| Total | 319 | 344 | 663 |
Compiled 19671 to 11108 computations (43.5% saved)
Found 2 expressions with local error:
| 2.0b | (*.f64 x (-.f64 1 (*.f64 y z))) |
| 2.0b | (*.f64 x (-.f64 1 (*.f64 y z))) |
| 1× | rewrite-expression-head |
| 5× | add-sqr-sqrt_binary64_9989 |
| 3× | add-cbrt-cube_binary64_10003 associate-*l*_binary64_9908 associate-*r*_binary64_9907 add-cube-cbrt_binary64_10002 add-exp-log_binary64_10005 *-un-lft-identity_binary64_9967 pow1_binary64_10028 |
| 2× | sub-neg_binary64_9960 distribute-lft-in_binary64_9916 distribute-rgt-in_binary64_9917 associate-*r/_binary64_9909 cancel-sign-sub-inv_binary64_9933 |
| 1× | flip--_binary64_9942 prod-exp_binary64_10016 cbrt-unprod_binary64_10000 flip3--_binary64_9971 pow-prod-down_binary64_10038 add-log-exp_binary64_10006 unswap-sqr_binary64_9935 *-commutative_binary64_9898 |
2 calls:
| 10.0ms | (*.f64 x (-.f64 1 (*.f64 y z))) |
| 0.0ms | (*.f64 x (-.f64 1 (*.f64 y z))) |
1 calls:
| 131.0ms | (*.f64 x (-.f64 1 (*.f64 y z))) |
Compiled 228 to 220 computations (3.5% saved)
| 1× | egg-herbie |
Useful iterations: 0 (71.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4868 | 429 |
| 1 | 4868 | 429 |
| 1× | rewrite-expression-head |
| 1× | egg-herbie |
Useful iterations: 0 (3.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
Found 8 expressions with local error:
| 0.5b | (cbrt.f64 x) |
| 0.5b | (cbrt.f64 x) |
| 0.5b | (*.f64 (cbrt.f64 x) (cbrt.f64 x)) |
| 0.3b | (*.f64 (-.f64 1 (*.f64 y z)) (cbrt.f64 x)) |
| 0.5b | (cbrt.f64 x) |
| 0.5b | (cbrt.f64 x) |
| 0.5b | (cbrt.f64 x) |
| 2.0b | (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (-.f64 1 (*.f64 y z)) (cbrt.f64 x))) |
| 1× | rewrite-expression-head |
| 16× | add-exp-log_binary64_10005 pow1_binary64_10028 |
| 10× | add-cbrt-cube_binary64_10003 |
| 9× | cbrt-prod_binary64_9998 |
| 8× | prod-exp_binary64_10016 cbrt-unprod_binary64_10000 pow-prod-down_binary64_10038 |
| 7× | add-sqr-sqrt_binary64_9989 add-cube-cbrt_binary64_10002 *-un-lft-identity_binary64_9967 |
| 4× | add-log-exp_binary64_10006 |
| 3× | pow1/3_binary64_10049 |
| 2× | associate-*l/_binary64_9910 associate-*r/_binary64_9909 |
| 1× | flip--_binary64_9942 associate-*l*_binary64_9908 flip3--_binary64_9971 associate-*r*_binary64_9907 *-commutative_binary64_9898 |
8 calls:
| 13.0ms | (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (-.f64 1 (*.f64 y z)) (cbrt.f64 x))) |
| 1.0ms | (cbrt.f64 x) |
| 1.0ms | (cbrt.f64 x) |
| 1.0ms | (cbrt.f64 x) |
| 0.0ms | (*.f64 (-.f64 1 (*.f64 y z)) (cbrt.f64 x)) |
4 calls:
| 151.0ms | (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (-.f64 1 (*.f64 y z)) (cbrt.f64 x))) |
| 87.0ms | (cbrt.f64 x) |
| 80.0ms | (cbrt.f64 x) |
| 80.0ms | (cbrt.f64 x) |
Compiled 470 to 408 computations (13.2% saved)
| 1× | egg-herbie |
Useful iterations: 0 (69.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4999 | 665 |
| 1 | 4999 | 665 |
Found 8 expressions with local error:
| 0.2b | (/.f64 z (/.f64 -1 y)) |
| 0.2b | (/.f64 z (/.f64 -1 y)) |
| 0.2b | (*.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) (cbrt.f64 (-.f64 1 (*.f64 y z)))) |
| 0.0b | (-.f64 (cbrt.f64 (/.f64 z (/.f64 -1 y))) (*.f64 1/3 (/.f64 (cbrt.f64 (/.f64 z (/.f64 -1 y))) (*.f64 y z)))) |
| 2.2b | (cbrt.f64 (-.f64 1 (*.f64 y z))) |
| 9.2b | (/.f64 (cbrt.f64 (/.f64 z (/.f64 -1 y))) (*.f64 y z)) |
| 12.8b | (cbrt.f64 (/.f64 z (/.f64 -1 y))) |
| 12.8b | (cbrt.f64 (/.f64 z (/.f64 -1 y))) |
| 1× | rewrite-expression-head |
| 311× | times-frac_binary64_9973 |
| 179× | cbrt-prod_binary64_9998 |
| 147× | add-sqr-sqrt_binary64_9989 add-cube-cbrt_binary64_10002 *-un-lft-identity_binary64_9967 |
| 47× | associate-/l*_binary64_9912 |
| 17× | div-inv_binary64_9964 |
| 9× | add-exp-log_binary64_10005 |
| 7× | add-cbrt-cube_binary64_10003 |
| 5× | cbrt-div_binary64_9999 |
| 4× | add-log-exp_binary64_10006 pow1_binary64_10028 associate-/r/_binary64_9913 |
| 3× | pow1/3_binary64_10049 |
| 2× | div-exp_binary64_10018 cbrt-undiv_binary64_10001 |
| 1× | flip--_binary64_9942 prod-exp_binary64_10016 cbrt-unprod_binary64_10000 flip3--_binary64_9971 associate-/l/_binary64_9914 associate-/r*_binary64_9911 frac-2neg_binary64_9978 clear-num_binary64_9966 |
8 calls:
| 14.0ms | (/.f64 (cbrt.f64 (/.f64 z (/.f64 -1 y))) (*.f64 y z)) |
| 6.0ms | (cbrt.f64 (/.f64 z (/.f64 -1 y))) |
| 6.0ms | (cbrt.f64 (/.f64 z (/.f64 -1 y))) |
| 3.0ms | (cbrt.f64 (-.f64 1 (*.f64 y z))) |
| 0.0ms | (-.f64 (cbrt.f64 (/.f64 z (/.f64 -1 y))) (*.f64 1/3 (/.f64 (cbrt.f64 (/.f64 z (/.f64 -1 y))) (*.f64 y z)))) |
4 calls:
| 355.0ms | (/.f64 (cbrt.f64 (/.f64 z (/.f64 -1 y))) (*.f64 y z)) |
| 241.0ms | (cbrt.f64 (/.f64 z (/.f64 -1 y))) |
| 232.0ms | (cbrt.f64 (/.f64 z (/.f64 -1 y))) |
| 165.0ms | (cbrt.f64 (-.f64 1 (*.f64 y z))) |
Compiled 2608 to 2002 computations (23.2% saved)
| 1× | egg-herbie |
Useful iterations: 0 (64.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4979 | 5609 |
| 1 | 4979 | 5609 |
Found 8 expressions with local error:
| 0.2b | (pow.f64 (*.f64 y z) 3) |
| 0.2b | (pow.f64 (*.f64 y z) 3) |
| 0.0b | (sqrt.f64 (/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 y z) 3) -1)) (-.f64 -1 (+.f64 (*.f64 y z) (pow.f64 (*.f64 y z) 2))))) |
| 0.0b | (sqrt.f64 (/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 y z) 3) -1)) (-.f64 -1 (+.f64 (*.f64 y z) (pow.f64 (*.f64 y z) 2))))) |
| 2.8b | (*.f64 x (+.f64 (pow.f64 (*.f64 y z) 3) -1)) |
| 2.8b | (*.f64 x (+.f64 (pow.f64 (*.f64 y z) 3) -1)) |
| 12.3b | (/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 y z) 3) -1)) (-.f64 -1 (+.f64 (*.f64 y z) (pow.f64 (*.f64 y z) 2)))) |
| 12.3b | (/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 y z) 3) -1)) (-.f64 -1 (+.f64 (*.f64 y z) (pow.f64 (*.f64 y z) 2)))) |
| 1× | rewrite-expression-head |
| 26× | add-sqr-sqrt_binary64_9989 |
| 24× | *-un-lft-identity_binary64_9967 |
| 18× | add-cbrt-cube_binary64_10003 add-exp-log_binary64_10005 |
| 12× | associate-*r*_binary64_9907 add-cube-cbrt_binary64_10002 |
| 10× | times-frac_binary64_9973 associate-/r*_binary64_9911 |
| 8× | associate-*r/_binary64_9909 pow1_binary64_10028 |
| 6× | associate-*l*_binary64_9908 |
| 4× | div-exp_binary64_10018 flip3-+_binary64_9970 prod-exp_binary64_10016 cbrt-undiv_binary64_10001 cbrt-unprod_binary64_10000 associate-/l/_binary64_9914 difference-of-squares_binary64_9936 flip-+_binary64_9941 add-log-exp_binary64_10006 difference-of-sqr--1_binary64_9938 distribute-lft-out--_binary64_9919 associate-/r/_binary64_9913 |
| 2× | flip--_binary64_9942 distribute-lft-out_binary64_9918 flip3--_binary64_9971 distribute-lft-in_binary64_9916 associate-/l*_binary64_9912 pow-prod-down_binary64_10038 distribute-rgt-in_binary64_9917 sqr-pow_binary64_9939 unswap-sqr_binary64_9935 div-inv_binary64_9964 frac-2neg_binary64_9978 clear-num_binary64_9966 *-commutative_binary64_9898 |
8 calls:
| 16.0ms | (/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 y z) 3) -1)) (-.f64 -1 (+.f64 (*.f64 y z) (pow.f64 (*.f64 y z) 2)))) |
| 16.0ms | (/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 y z) 3) -1)) (-.f64 -1 (+.f64 (*.f64 y z) (pow.f64 (*.f64 y z) 2)))) |
| 10.0ms | (*.f64 x (+.f64 (pow.f64 (*.f64 y z) 3) -1)) |
| 10.0ms | (*.f64 x (+.f64 (pow.f64 (*.f64 y z) 3) -1)) |
| 0.0ms | (sqrt.f64 (/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 y z) 3) -1)) (-.f64 -1 (+.f64 (*.f64 y z) (pow.f64 (*.f64 y z) 2))))) |
4 calls:
| 578.0ms | (/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 y z) 3) -1)) (-.f64 -1 (+.f64 (*.f64 y z) (pow.f64 (*.f64 y z) 2)))) |
| 554.0ms | (/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 y z) 3) -1)) (-.f64 -1 (+.f64 (*.f64 y z) (pow.f64 (*.f64 y z) 2)))) |
| 359.0ms | (*.f64 x (+.f64 (pow.f64 (*.f64 y z) 3) -1)) |
| 358.0ms | (*.f64 x (+.f64 (pow.f64 (*.f64 y z) 3) -1)) |
Compiled 3912 to 2680 computations (31.5% saved)
| 1× | egg-herbie |
Useful iterations: 0 (65.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4984 | 3518 |
| 1 | 4984 | 3518 |
553 alts after pruning (537 fresh and 16 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 331 | 218 | 549 |
| Fresh | 9 | 319 | 328 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 16 | 16 |
| Total | 340 | 553 | 893 |
Compiled 16102 to 9107 computations (43.4% saved)
| 1× | egg-herbie |
Useful iterations: 0 (32.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5025 | 48275 |
Compiled 154636 to 103240 computations (33.2% saved)
Compiled 3 to 4 computations (-33.3% saved)
Compiled 54 to 99 computations (-83.3% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 11 | 1.2908990632255292e-26 | 2.566752576824023e-07 | 8.385375124372152e-10 |
| 6 | -1.741658275960929e-41 | -2.418279627804856e-42 | -1.5130817828611212e-41 |
| 9 | -1064944837.1364738 | -78.0306546130345 | -621.0480924154341 |
| 11 | -1.999655350399245e+189 | -1.7653004587509595e+167 | -9.368162236877668e+168 |
Compiled 1 to 3 computations (-200% saved)
Compiled 36 to 81 computations (-125% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 11 | 1.2908990632255292e-26 | 2.566752576824023e-07 | 6.139300952328164e-09 |
| 6 | -1.741658275960929e-41 | -2.418279627804856e-42 | -1.309902677883514e-41 |
| 9 | -1064944837.1364738 | -78.0306546130345 | -5037.865124839786 |
| 11 | -1.999655350399245e+189 | -1.7653004587509595e+167 | -5.4044451224389e+178 |
Compiled 1 to 3 computations (-200% saved)
Total 1.8b remaining (99.7%)
Threshold costs 0b (0%)
Compiled 18 to 63 computations (-250% saved)
Compiled 92 to 52 computations (43.5% saved)
| 1× | egg-herbie |
Useful iterations: 0 (4.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 144 | 105 |
| 1 | 144 | 105 |
| 1× | intervals |
| 208.0ms | 8000× | body | 128 | valid |
| 13.0ms | 530× | body | 128 | invalid |
Compiled 23815 to 15965 computations (33% saved)
0.019830417311815535
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