Time bar (total: 15.1s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.8% | 0.2% | 0 |
| 0% | 99.8% | 0.2% | 1 |
| 0% | 99.8% | 0.2% | 2 |
| 0% | 99.8% | 0.2% | 3 |
| 0% | 99.8% | 0.2% | 4 |
| 0% | 99.8% | 0.2% | 5 |
| 0% | 99.8% | 0.2% | 6 |
| 0% | 99.8% | 0.2% | 7 |
| 0% | 99.8% | 0.2% | 8 |
| 18.7% | 76.4% | 4.9% | 9 |
| 18.7% | 76.4% | 4.9% | 10 |
| 21.8% | 72.5% | 5.7% | 11 |
| 21.8% | 69.8% | 8.4% | 12 |
| 32.7% | 46.6% | 20.7% | 13 |
| 32.7% | 46.6% | 20.7% | 14 |
Compiled 20 to 20 computations (0% saved)
| 1× | intervals |
| 23.0ms | 256× | body | 128 | valid |
| 13.0ms | 164× | body | 128 | nan |
Compiled 39 to 43 computations (-10.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (49.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4895 | 29 |
| 1 | 4895 | 29 |
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 38 to 38 computations (0% saved)
Found 8 expressions with local error:
| 0.3b | (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
| 0.2b | (pow.f64 (/.f64 Om Omc) 2) |
| 0.2b | (pow.f64 (/.f64 t l) 2) |
| 0.0b | (*.f64 2 (pow.f64 (/.f64 t l) 2)) |
| 0.2b | (pow.f64 (/.f64 Om Omc) 2) |
| 0.3b | (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
| 0.5b | (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
| 8.3b | (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
| 1× | rewrite-expression-head |
| 143× | add-sqr-sqrt_binary64_100 |
| 108× | times-frac_binary64_84 |
| 98× | *-un-lft-identity_binary64_78 |
| 70× | difference-of-squares_binary64_47 |
| 49× | add-cube-cbrt_binary64_113 |
| 48× | sqrt-prod_binary64_94 |
| 41× | unpow-prod-down_binary64_157 |
| 15× | unpow2_binary64_143 sqr-pow_binary64_50 |
| 14× | associate-/l*_binary64_23 |
| 9× | add-exp-log_binary64_116 |
| 7× | distribute-lft-out--_binary64_30 |
| 6× | add-cbrt-cube_binary64_114 pow1_binary64_139 |
| 4× | add-log-exp_binary64_117 associate-/r/_binary64_24 |
| 3× | div-inv_binary64_75 associate-/r*_binary64_22 pow-unpow_binary64_155 |
| 2× | pow-exp_binary64_146 div-exp_binary64_129 flip-+_binary64_52 rem-sqrt-square_binary64_91 associate-/l/_binary64_25 flip3-+_binary64_81 |
| 1× | pow-to-exp_binary64_147 sqrt-pow1_binary64_96 cbrt-undiv_binary64_112 flip3--_binary64_82 frac-2neg_binary64_89 pow-pow_binary64_150 flip--_binary64_53 sqrt-div_binary64_95 clear-num_binary64_77 asin-acos_binary64_258 div-sub_binary64_83 pow1/2_binary64_158 |
8 calls:
| 21.0ms | (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
| 18.0ms | (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
| 5.0ms | (pow.f64 (/.f64 Om Omc) 2) |
| 1.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
| 0.0ms | (*.f64 2 (pow.f64 (/.f64 t l) 2)) |
4 calls:
| 652.0ms | (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
| 595.0ms | (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
| 112.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
| 71.0ms | (pow.f64 (/.f64 Om Omc) 2) |
Compiled 3883 to 3583 computations (7.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (46.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4986 | 8023 |
| 1 | 4986 | 8023 |
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 222 | 9 | 231 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 223 | 9 | 232 |
Compiled 6945 to 4737 computations (31.8% saved)
Found 8 expressions with local error:
| 0.3b | (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
| 0.2b | (pow.f64 (/.f64 Om Omc) 2) |
| 0.2b | (pow.f64 (/.f64 t l) 2) |
| 0.0b | (*.f64 2 (pow.f64 (/.f64 t l) 2)) |
| 0.2b | (pow.f64 (/.f64 Om Omc) 2) |
| 0.3b | (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
| 0.3b | (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
| 8.7b | (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
| 1× | rewrite-expression-head |
| 155× | sqrt-prod_binary64_94 add-sqr-sqrt_binary64_100 |
| 125× | times-frac_binary64_84 |
| 112× | *-un-lft-identity_binary64_78 |
| 70× | difference-of-squares_binary64_47 |
| 63× | add-cube-cbrt_binary64_113 |
| 41× | unpow-prod-down_binary64_157 |
| 17× | associate-/l*_binary64_23 |
| 15× | unpow2_binary64_143 sqr-pow_binary64_50 |
| 9× | add-exp-log_binary64_116 |
| 7× | distribute-lft-out--_binary64_30 |
| 6× | add-cbrt-cube_binary64_114 associate-/r*_binary64_22 sqrt-div_binary64_95 pow1_binary64_139 |
| 4× | add-log-exp_binary64_117 |
| 3× | pow-unpow_binary64_155 |
| 2× | pow-exp_binary64_146 div-exp_binary64_129 flip-+_binary64_52 div-inv_binary64_75 associate-/r/_binary64_24 associate-/l/_binary64_25 flip3-+_binary64_81 |
| 1× | pow-to-exp_binary64_147 sqrt-pow1_binary64_96 cbrt-undiv_binary64_112 rem-sqrt-square_binary64_91 flip3--_binary64_82 frac-2neg_binary64_89 pow-pow_binary64_150 flip--_binary64_53 sqrt-undiv_binary64_99 clear-num_binary64_77 asin-acos_binary64_258 pow1/2_binary64_158 |
8 calls:
| 21.0ms | (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
| 5.0ms | (pow.f64 (/.f64 Om Omc) 2) |
| 4.0ms | (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
| 1.0ms | (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
| 0.0ms | (*.f64 2 (pow.f64 (/.f64 t l) 2)) |
4 calls:
| 584.0ms | (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
| 162.0ms | (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
| 117.0ms | (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
| 72.0ms | (pow.f64 (/.f64 Om Omc) 2) |
Compiled 3364 to 3106 computations (7.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (26.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5319 | 9170 |
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 242 | 4 | 246 |
| Fresh | 1 | 7 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 244 | 11 | 255 |
Compiled 7918 to 5555 computations (29.8% saved)
Found 8 expressions with local error:
| 0.2b | (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (sqrt.f64 (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
| 0.1b | (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (sqrt.f64 (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (sqrt.f64 (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
| 0.0b | (*.f64 2 (pow.f64 (/.f64 t l) 2)) |
| 0.0b | (*.f64 2 (pow.f64 (/.f64 t l) 2)) |
| 7.4b | (sqrt.f64 (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
| 7.4b | (sqrt.f64 (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
| 8.7b | (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
| 8.7b | (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
| 1× | rewrite-expression-head |
| 26× | sqrt-prod_binary64_94 |
| 16× | add-sqr-sqrt_binary64_100 |
| 12× | sqrt-div_binary64_95 |
| 10× | sqrt-pow1_binary64_96 add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78 pow1_binary64_139 |
| 6× | rem-sqrt-square_binary64_91 pow1/2_binary64_158 |
| 4× | add-cbrt-cube_binary64_114 add-log-exp_binary64_117 flip-+_binary64_52 add-exp-log_binary64_116 flip3-+_binary64_81 |
8 calls:
| 5.0ms | (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
| 4.0ms | (sqrt.f64 (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
| 4.0ms | (sqrt.f64 (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
| 3.0ms | (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
| 0.0ms | (*.f64 2 (pow.f64 (/.f64 t l) 2)) |
4 calls:
| 202.0ms | (sqrt.f64 (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
| 193.0ms | (sqrt.f64 (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
| 171.0ms | (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
| 163.0ms | (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
Compiled 3462 to 3156 computations (8.8% saved)
| 1× | egg-herbie |
Useful iterations: 0 (90.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4991 | 2348 |
| 1 | 4991 | 2348 |
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 126 | 0 | 126 |
| Fresh | 0 | 10 | 10 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 126 | 11 | 137 |
Compiled 5048 to 3732 computations (26.1% saved)
Found 8 expressions with local error:
| 0.1b | (*.f64 (/.f64 1 (*.f64 (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
| 0.0b | (*.f64 2 (pow.f64 (/.f64 t l) 2)) |
| 0.0b | (*.f64 2 (pow.f64 (/.f64 t l) 2)) |
| 0.0b | (*.f64 2 (pow.f64 (/.f64 t l) 2)) |
| 8.3b | (sqrt.f64 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))) |
| 14.0b | (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
| 14.0b | (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
| 14.0b | (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
| 1× | rewrite-expression-head |
| 9× | cbrt-prod_binary64_109 |
| 7× | add-sqr-sqrt_binary64_100 add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78 pow1_binary64_139 |
| 6× | cbrt-div_binary64_110 |
| 4× | add-cbrt-cube_binary64_114 add-log-exp_binary64_117 add-exp-log_binary64_116 |
| 3× | flip-+_binary64_52 pow1/3_binary64_160 sqrt-div_binary64_95 flip3-+_binary64_81 |
| 2× | sqrt-pow1_binary64_96 |
| 1× | sqrt-prod_binary64_94 frac-times_binary64_88 associate-*l/_binary64_21 pow-prod-down_binary64_149 associate-*r/_binary64_20 pow1/2_binary64_158 |
8 calls:
| 33.0ms | (sqrt.f64 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))) |
| 3.0ms | (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
| 3.0ms | (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
| 3.0ms | (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
| 0.0ms | (*.f64 2 (pow.f64 (/.f64 t l) 2)) |
4 calls:
| 619.0ms | (sqrt.f64 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))) |
| 207.0ms | (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
| 205.0ms | (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
| 203.0ms | (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
Compiled 5218 to 4609 computations (11.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (22.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4975 | 2781 |
| 1 | 4975 | 2781 |
11 alts after pruning (9 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 108 | 0 | 108 |
| Fresh | 0 | 9 | 9 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 108 | 11 | 119 |
Compiled 4747 to 3432 computations (27.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (4.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 345 | 1984 |
| 1 | 345 | 1984 |
Compiled 24588 to 22273 computations (9.4% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 9 | 3.8058030968167636e+55 | 1.6577195150961209e+62 | 4.0699161400542827e+55 |
| 8 | -1.4583992802605929e+75 | -9.393181850110778e+71 | -1.4397610098885724e+75 |
Compiled 3 to 5 computations (-66.7% saved)
Compiled 3937 to 4247 computations (-7.9% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 9 | 1.861661564049545e+62 | 1.2038330637544195e+69 | 2.7098674073710237e+62 |
| 6 | -3.570121003959573e+142 | -5.4156818031839816e+141 | -3.5189165217235146e+142 |
Compiled 3 to 5 computations (-66.7% saved)
Compiled 1805 to 2049 computations (-13.5% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 9 | 1.861661564049545e+62 | 1.2038330637544195e+69 | 3.945702929768114e+68 |
| 11 | -3.333898289371831e+129 | -1.779361900494863e+109 | -2.4191898762670895e+119 |
Compiled 3 to 5 computations (-66.7% saved)
Compiled 1584 to 1828 computations (-15.4% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 9 | 1.861661564049545e+62 | 1.2038330637544195e+69 | 4.0408429634684533e+68 |
Compiled 3 to 5 computations (-66.7% saved)
Compiled 919 to 1121 computations (-22% saved)
Compiled 361 to 589 computations (-63.2% saved)
Compiled 122 to 256 computations (-109.8% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 10 | 6.373917739296421e+136 | 6.99651677777606e+155 | 9.812738210921705e+151 |
| 7 | -1.4677656003559478e+176 | -3.8577324858497407e+174 | -3.8979961988787077e+174 |
Compiled 1 to 4 computations (-300% saved)
Total 0.1b remaining (14.5%)
Threshold costs 0.1b (14.5%)
Compiled 20 to 92 computations (-360% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 8 | 3.241569749400095e+112 | 8.916863151460572e+116 | 3.2969184450764058e+112 |
| 9 | -5.985143844838235e+40 | -5.880893675797835e+31 | -4.132669693900505e+38 |
Compiled 315 to 248 computations (21.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (3.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 220 | 480 |
| 1 | 220 | 480 |
| 1× | intervals |
| 736.0ms | 8000× | body | 128 | valid |
| 410.0ms | 4696× | body | 128 | nan |
Compiled 1610 to 1416 computations (12% saved)
0.3149642028529515
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