Time bar (total: 15.5s)
| 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 |
| 0% | 99.9% | 0.1% | 7 |
| 25% | 74.9% | 0.1% | 8 |
| 54.6% | 45.2% | 0.1% | 9 |
| 56.2% | 43.7% | 0.1% | 10 |
| 62.4% | 37.4% | 0.1% | 11 |
| 65.9% | 33.9% | 0.1% | 12 |
| 66.3% | 33.5% | 0.1% | 13 |
| 69% | 30.8% | 0.1% | 14 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | intervals |
| 96.0ms | 133× | body | 1024 | valid |
| 27.0ms | 60× | body | 512 | valid |
| 7.0ms | 25× | body | 256 | valid |
| 4.0ms | 37× | body | 128 | valid |
| 1.0ms | 1× | body | 2048 | valid |
Compiled 33 to 32 computations (3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (78.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5170 | 26 |
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 32 to 28 computations (12.5% saved)
Found 8 expressions with local error:
| 0.2b | (pow.f64 (sin.f64 kx) 2) |
| 0.2b | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)) |
| 0.1b | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) |
| 0.1b | (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)) |
| 0.2b | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)) |
| 0.2b | (pow.f64 (sin.f64 kx) 2) |
| 0.2b | (pow.f64 (sin.f64 ky) 2) |
| 2.5b | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 1× | rewrite-expression-head |
| 41× | *-un-lft-identity_binary64_78 |
| 34× | add-sqr-sqrt_binary64_100 |
| 30× | associate-*l*_binary64_19 |
| 26× | times-frac_binary64_84 |
| 25× | add-cube-cbrt_binary64_113 |
| 21× | sqrt-prod_binary64_94 |
| 14× | unpow-prod-down_binary64_157 |
| 11× | add-exp-log_binary64_116 |
| 9× | add-cbrt-cube_binary64_114 pow1_binary64_139 |
| 8× | distribute-lft-out_binary64_29 |
| 6× | pow-unpow_binary64_155 |
| 4× | add-log-exp_binary64_117 sqrt-div_binary64_95 |
| 3× | associate-*r*_binary64_18 unswap-sqr_binary64_46 |
| 2× | pow-exp_binary64_146 pow-to-exp_binary64_147 cbrt-unprod_binary64_111 prod-exp_binary64_127 flip-+_binary64_52 unpow2_binary64_143 sqr-pow_binary64_50 pow-pow_binary64_150 associate-/r/_binary64_24 flip3-+_binary64_81 |
| 1× | *-commutative_binary64_9 sqrt-pow1_binary64_96 cbrt-undiv_binary64_112 div-exp_binary64_129 rem-sqrt-square_binary64_91 div-inv_binary64_75 associate-*l/_binary64_21 pow-prod-down_binary64_149 pow1/2_binary64_158 |
8 calls:
| 18.0ms | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)) |
| 8.0ms | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 3.0ms | (pow.f64 (sin.f64 kx) 2) |
| 3.0ms | (pow.f64 (sin.f64 ky) 2) |
| 0.0ms | (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)) |
4 calls:
| 689.0ms | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)) |
| 193.0ms | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 30.0ms | (pow.f64 (sin.f64 ky) 2) |
| 27.0ms | (pow.f64 (sin.f64 kx) 2) |
Compiled 1385 to 1117 computations (19.4% saved)
| 1× | egg-herbie |
Useful iterations: 0 (42.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4993 | 3140 |
| 1 | 4993 | 3140 |
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 129 | 13 | 142 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 130 | 13 | 143 |
Compiled 3742 to 2092 computations (44.1% saved)
Found 8 expressions with local error:
| 0.1b | (sqrt.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) |
| 0.1b | (sqrt.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) |
| 0.1b | (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)) |
| 0.1b | (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)) |
| 0.2b | (pow.f64 (sin.f64 ky) 2) |
| 0.5b | (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sqrt.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))) |
| 2.5b | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 2.5b | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 1× | rewrite-expression-head |
| 104× | sqrt-prod_binary64_94 |
| 60× | add-sqr-sqrt_binary64_100 |
| 50× | *-un-lft-identity_binary64_78 |
| 34× | sqrt-pow1_binary64_96 |
| 30× | pow1_binary64_139 |
| 28× | sqrt-div_binary64_95 |
| 20× | add-cube-cbrt_binary64_113 |
| 19× | swap-sqr_binary64_45 |
| 18× | pow1/2_binary64_158 |
| 15× | unpow-prod-down_binary64_157 |
| 14× | distribute-lft-out_binary64_29 |
| 11× | associate-*l*_binary64_19 associate-*r*_binary64_18 |
| 10× | rem-sqrt-square_binary64_91 |
| 9× | pow-prod-up_binary64_148 unswap-sqr_binary64_46 |
| 8× | flip-+_binary64_52 flip3-+_binary64_81 |
| 7× | add-exp-log_binary64_116 |
| 6× | add-cbrt-cube_binary64_114 |
| 5× | pow-sqr_binary64_51 pow-prod-down_binary64_149 |
| 4× | sqr-abs_binary64_93 add-log-exp_binary64_117 frac-times_binary64_88 |
| 3× | pow-unpow_binary64_155 |
| 2× | associate-*l/_binary64_21 associate-*r/_binary64_20 |
| 1× | pow2_binary64_159 *-commutative_binary64_9 pow-exp_binary64_146 pow-to-exp_binary64_147 cbrt-unprod_binary64_111 prod-exp_binary64_127 unpow2_binary64_143 sqr-pow_binary64_50 sqrt-unprod_binary64_98 pow-pow_binary64_150 rem-square-sqrt_binary64_90 pow-plus_binary64_141 |
8 calls:
| 27.0ms | (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sqrt.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))) |
| 10.0ms | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 8.0ms | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 3.0ms | (pow.f64 (sin.f64 ky) 2) |
| 0.0ms | (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)) |
4 calls:
| 199.0ms | (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sqrt.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))) |
| 198.0ms | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 193.0ms | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 33.0ms | (pow.f64 (sin.f64 ky) 2) |
Compiled 1844 to 1434 computations (22.2% saved)
| 1× | egg-herbie |
Useful iterations: 0 (60.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4979 | 3823 |
| 1 | 4979 | 3823 |
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 186 | 0 | 186 |
| Fresh | 0 | 12 | 12 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 186 | 13 | 199 |
Compiled 5953 to 3558 computations (40.2% saved)
Found 8 expressions with local error:
| 0.1b | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) |
| 0.1b | (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)) |
| 0.1b | (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)) |
| 0.1b | (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)) |
| 0.4b | (cbrt.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))) |
| 2.5b | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 2.5b | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 2.5b | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 1× | rewrite-expression-head |
| 46× | *-un-lft-identity_binary64_78 |
| 30× | sqrt-prod_binary64_94 cbrt-prod_binary64_109 |
| 25× | add-sqr-sqrt_binary64_100 |
| 24× | times-frac_binary64_84 |
| 22× | add-cube-cbrt_binary64_113 |
| 12× | unpow-prod-down_binary64_157 distribute-lft-out_binary64_29 |
| 8× | sqrt-div_binary64_95 |
| 7× | pow1_binary64_139 |
| 4× | add-cbrt-cube_binary64_114 add-log-exp_binary64_117 flip-+_binary64_52 add-exp-log_binary64_116 flip3-+_binary64_81 |
| 3× | sqrt-pow1_binary64_96 rem-sqrt-square_binary64_91 pow1/2_binary64_158 |
| 2× | associate-/r/_binary64_24 |
| 1× | cbrt-div_binary64_110 pow1/3_binary64_160 div-inv_binary64_75 |
8 calls:
| 11.0ms | (cbrt.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))) |
| 10.0ms | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 8.0ms | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 8.0ms | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 0.0ms | (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)) |
4 calls:
| 705.0ms | (cbrt.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))) |
| 211.0ms | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 196.0ms | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 196.0ms | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
Compiled 3408 to 2402 computations (29.5% saved)
| 1× | egg-herbie |
Useful iterations: 0 (41.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5218 | 3689 |
13 alts after pruning (11 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 132 | 0 | 132 |
| Fresh | 0 | 11 | 11 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 132 | 13 | 145 |
Compiled 7539 to 4445 computations (41% saved)
Found 8 expressions with local error:
| 0.2b | (*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 4) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2)) |
| 0.2b | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 4) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2))))) (sin.f64 th)) |
| 0.1b | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 4) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2))))) |
| 0.1b | (+.f64 (pow.f64 (sin.f64 kx) 2) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 4) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2))) |
| 0.6b | (cbrt.f64 (sin.f64 ky)) |
| 0.6b | (cbrt.f64 (sin.f64 ky)) |
| 0.7b | (pow.f64 (cbrt.f64 (sin.f64 ky)) 4) |
| 2.5b | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 4) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2)))) |
| 1× | rewrite-expression-head |
| 11× | add-sqr-sqrt_binary64_100 |
| 10× | add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78 |
| 9× | cbrt-prod_binary64_109 |
| 6× | unpow-prod-down_binary64_157 pow1_binary64_139 |
| 5× | add-exp-log_binary64_116 |
| 4× | add-cbrt-cube_binary64_114 add-log-exp_binary64_117 |
| 3× | sqrt-prod_binary64_94 pow1/3_binary64_160 pow-unpow_binary64_155 |
| 2× | pow-pow_binary64_150 sqrt-div_binary64_95 |
| 1× | pow-exp_binary64_146 pow-to-exp_binary64_147 sqrt-pow1_binary64_96 flip-+_binary64_52 rem-sqrt-square_binary64_91 sqr-pow_binary64_50 pow1/2_binary64_158 flip3-+_binary64_81 |
8 calls:
| 5.0ms | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 4) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2)))) |
| 3.0ms | (pow.f64 (cbrt.f64 (sin.f64 ky)) 4) |
| 1.0ms | (cbrt.f64 (sin.f64 ky)) |
| 1.0ms | (cbrt.f64 (sin.f64 ky)) |
| 0.0ms | (+.f64 (pow.f64 (sin.f64 kx) 2) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 4) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2))) |
4 calls:
| 190.0ms | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 4) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2)))) |
| 137.0ms | (pow.f64 (cbrt.f64 (sin.f64 ky)) 4) |
| 84.0ms | (cbrt.f64 (sin.f64 ky)) |
| 83.0ms | (cbrt.f64 (sin.f64 ky)) |
Compiled 1096 to 914 computations (16.6% saved)
| 1× | egg-herbie |
Useful iterations: 0 (58.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4930 | 1252 |
| 1 | 4930 | 1252 |
13 alts after pruning (10 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 87 | 0 | 87 |
| Fresh | 0 | 10 | 10 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 87 | 13 | 100 |
Compiled 2294 to 1227 computations (46.5% saved)
| 1× | egg-herbie |
Useful iterations: 0 (4.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 390 | 2123 |
| 1 | 390 | 2123 |
Compiled 11280 to 8998 computations (20.2% saved)
Compiled 1150 to 1162 computations (-1% saved)
Compiled 2 to 4 computations (-100% saved)
Compiled 691 to 749 computations (-8.4% saved)
Compiled 2 to 4 computations (-100% saved)
Compiled 410 to 460 computations (-12.2% saved)
Compiled 2 to 4 computations (-100% saved)
Compiled 320 to 388 computations (-21.3% saved)
Compiled 2 to 4 computations (-100% saved)
Compiled 74 to 149 computations (-101.4% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 8 | 6.718092772816654e-184 | 5.389020933597463e-180 | 4.9006235456263095e-180 |
| 7 | -0.00031753722337157916 | -1.42608262710057e-05 | -0.0003133110752946284 |
Compiled 1 to 3 computations (-200% saved)
Compiled 30 to 90 computations (-200% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 8 | 6.718092772816654e-184 | 5.389020933597463e-180 | 6.870969801265937e-182 |
| 11 | -4.890056274766595e+16 | -0.00031753722337157916 | -3183254.7726675374 |
Compiled 1 to 3 computations (-200% saved)
Total 2.3b remaining (56.9%)
Threshold costs 0b (0%)
Compiled 15 to 54 computations (-260% saved)
Compiled 191 to 134 computations (29.8% saved)
| 1× | egg-herbie |
Useful iterations: 0 (1.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 300 |
| 1 | 73 | 300 |
| 1× | intervals |
| 3.4s | 4622× | body | 1024 | valid |
| 636.0ms | 1428× | body | 512 | valid |
| 188.0ms | 1409× | body | 128 | valid |
| 145.0ms | 521× | body | 256 | valid |
| 25.0ms | 20× | body | 2048 | valid |
Compiled 1450 to 1142 computations (21.2% saved)
-0.11259435851389907
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