Time bar (total: 26.8s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 50% | 50% | 0% | 3 |
| 75% | 25% | 0% | 4 |
| 87.5% | 12.5% | 0% | 5 |
| 93.7% | 6.2% | 0% | 6 |
| 96.8% | 3.1% | 0% | 7 |
| 98.4% | 1.6% | 0% | 8 |
| 99.2% | 0.8% | 0% | 9 |
| 99.6% | 0.4% | 0% | 10 |
| 99.8% | 0.2% | 0% | 11 |
| 99.9% | 0.1% | 0% | 12 |
| 99.9% | 0% | 0% | 13 |
| 99.9% | 0% | 0.1% | 14 |
Compiled 9 to 5 computations (44.4% saved)
| 1× | intervals |
| 6.0ms | 256× | body | 128 | valid |
Compiled 17 to 10 computations (41.2% saved)
| 1× | egg-herbie |
Useful iterations: 0 (2.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 9 |
| 1 | 13 | 9 |
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 6 to 4 computations (33.3% saved)
Found 4 expressions with local error:
| 27.5b | (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) |
| 0.0b | (+.f64 (*.f64 x x) (*.f64 x x)) |
| 0.0b | (+.f64 (*.f64 x x) (*.f64 x x)) |
| 27.5b | (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) |
| 1× | rewrite-expression-head |
| 6× | sqrt-prod_binary64_94 |
| 4× | add-sqr-sqrt_binary64_100 add-log-exp_binary64_117 |
| 3× | add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78 pow1_binary64_139 |
| 2× | add-cbrt-cube_binary64_114 flip-+_binary64_52 distribute-rgt-out_binary64_31 add-exp-log_binary64_116 sqrt-div_binary64_95 count-2_binary64_26 distribute-lft-out_binary64_29 flip3-+_binary64_81 |
| 1× | +-commutative_binary64_8 sqrt-pow1_binary64_96 rem-sqrt-square_binary64_91 pow1/2_binary64_158 sum-log_binary64_169 |
4 calls:
| 4.0ms | (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) |
| 4.0ms | (+.f64 (*.f64 x x) (*.f64 x x)) |
| 0.0ms | (+.f64 (*.f64 x x) (*.f64 x x)) |
| 0.0ms | (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) |
2 calls:
| 30.0ms | (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) |
| 27.0ms | (+.f64 (*.f64 x x) (*.f64 x x)) |
Compiled 64 to 64 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 0 (87.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4788 | 334 |
| 1 | 4788 | 334 |
Found 2 expressions with local error:
| 27.5b | (sqrt.f64 (*.f64 x (+.f64 x x))) |
| 27.5b | (sqrt.f64 (*.f64 x (+.f64 x x))) |
| 1× | rewrite-expression-head |
| 4× | pow1_binary64_139 |
| 2× | sqrt-pow1_binary64_96 sqrt-div_binary64_95 associate-*r/_binary64_20 |
| 1× | add-cbrt-cube_binary64_114 sqrt-prod_binary64_94 add-sqr-sqrt_binary64_100 add-log-exp_binary64_117 flip-+_binary64_52 add-cube-cbrt_binary64_113 add-exp-log_binary64_116 pow-prod-down_binary64_149 pow1/2_binary64_158 *-un-lft-identity_binary64_78 flip3-+_binary64_81 |
2 calls:
| 7.0ms | (sqrt.f64 (*.f64 x (+.f64 x x))) |
| 0.0ms | (sqrt.f64 (*.f64 x (+.f64 x x))) |
1 calls:
| 29.0ms | (sqrt.f64 (*.f64 x (+.f64 x x))) |
Compiled 28 to 28 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 0 (64.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5009 | 140 |
25 alts after pruning (24 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 30 | 24 | 54 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 0 | 0 |
| Done | 1 | 1 | 2 |
| Total | 31 | 25 | 56 |
Compiled 537 to 258 computations (52% saved)
Found 2 expressions with local error:
| 0.5b | (*.f64 (sqrt.f64 2) (fabs.f64 x)) |
| 0.5b | (*.f64 (sqrt.f64 2) (fabs.f64 x)) |
| 1× | rewrite-expression-head |
| 8× | add-sqr-sqrt_binary64_100 |
| 6× | associate-*l*_binary64_19 |
| 4× | sqrt-prod_binary64_94 add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78 |
| 3× | add-cbrt-cube_binary64_114 associate-*r*_binary64_18 add-exp-log_binary64_116 pow1_binary64_139 |
| 2× | unswap-sqr_binary64_46 |
| 1× | *-commutative_binary64_9 add-log-exp_binary64_117 cbrt-unprod_binary64_111 prod-exp_binary64_127 pow-prod-down_binary64_149 |
2 calls:
| 5.0ms | (*.f64 (sqrt.f64 2) (fabs.f64 x)) |
| 0.0ms | (*.f64 (sqrt.f64 2) (fabs.f64 x)) |
1 calls:
| 29.0ms | (*.f64 (sqrt.f64 2) (fabs.f64 x)) |
Compiled 30 to 30 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 0 (65.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4863 | 270 |
| 1 | 4863 | 270 |
Found 2 expressions with local error:
| 0.5b | (*.f64 x (sqrt.f64 2)) |
| 0.5b | (*.f64 x (sqrt.f64 2)) |
| 1× | rewrite-expression-head |
| 8× | add-sqr-sqrt_binary64_100 |
| 6× | associate-*r*_binary64_18 |
| 4× | sqrt-prod_binary64_94 add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78 |
| 3× | add-cbrt-cube_binary64_114 associate-*l*_binary64_19 add-exp-log_binary64_116 pow1_binary64_139 |
| 2× | unswap-sqr_binary64_46 |
| 1× | *-commutative_binary64_9 add-log-exp_binary64_117 cbrt-unprod_binary64_111 prod-exp_binary64_127 pow-prod-down_binary64_149 |
2 calls:
| 5.0ms | (*.f64 x (sqrt.f64 2)) |
| 0.0ms | (*.f64 x (sqrt.f64 2)) |
1 calls:
| 30.0ms | (*.f64 x (sqrt.f64 2)) |
Compiled 24 to 24 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 0 (36.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5010 | 211 |
Found 2 expressions with local error:
| 0.1b | (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x))) |
| 0.1b | (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x))) |
| 1× | rewrite-expression-head |
| 19× | sqrt-prod_binary64_94 |
| 17× | add-sqr-sqrt_binary64_100 |
| 15× | associate-*r*_binary64_18 |
| 11× | *-un-lft-identity_binary64_78 |
| 9× | add-cube-cbrt_binary64_113 |
| 6× | associate-*l*_binary64_19 |
| 5× | pow1_binary64_139 |
| 4× | unswap-sqr_binary64_46 |
| 3× | add-cbrt-cube_binary64_114 distribute-rgt-out_binary64_31 add-exp-log_binary64_116 pow-prod-down_binary64_149 distribute-lft-out_binary64_29 |
| 2× | sqrt-pow1_binary64_96 sqrt-div_binary64_95 associate-*r/_binary64_20 pow1/2_binary64_158 |
| 1× | *-commutative_binary64_9 add-log-exp_binary64_117 cbrt-unprod_binary64_111 prod-exp_binary64_127 flip-+_binary64_52 sqrt-unprod_binary64_98 distribute-lft1-in_binary64_33 count-2_binary64_26 distribute-rgt1-in_binary64_34 flip3-+_binary64_81 |
2 calls:
| 11.0ms | (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x))) |
| 0.0ms | (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x))) |
1 calls:
| 30.0ms | (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x))) |
Compiled 30 to 30 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 0 (75.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4778 | 527 |
| 1 | 4778 | 527 |
Found 6 expressions with local error:
| 27.5b | (sqrt.f64 (*.f64 x (+.f64 x x))) |
| 5.7b | (exp.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x x))))) |
| 0.0b | (log.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))) |
| 0.0b | (log.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))) |
| 5.7b | (exp.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x x))))) |
| 27.5b | (sqrt.f64 (*.f64 x (+.f64 x x))) |
| 1× | rewrite-expression-head |
| 14× | pow1_binary64_139 |
| 8× | log-prod_binary64_164 log-pow_binary64_167 |
| 7× | exp-prod_binary64_130 |
| 6× | add-sqr-sqrt_binary64_100 sqrt-pow1_binary64_96 add-cube-cbrt_binary64_113 sqrt-div_binary64_95 associate-*r/_binary64_20 *-un-lft-identity_binary64_78 |
| 4× | exp-sum_binary64_124 add-exp-log_binary64_116 log-div_binary64_165 |
| 3× | add-cbrt-cube_binary64_114 sqrt-prod_binary64_94 add-log-exp_binary64_117 flip-+_binary64_52 pow-prod-down_binary64_149 pow1/2_binary64_158 flip3-+_binary64_81 |
| 2× | exp-diff_binary64_126 |
| 1× | rem-exp-log_binary64_118 rem-log-exp_binary64_119 |
6 calls:
| 7.0ms | (exp.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x x))))) |
| 5.0ms | (log.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))) |
| 5.0ms | (sqrt.f64 (*.f64 x (+.f64 x x))) |
| 0.0ms | (log.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))) |
| 0.0ms | (exp.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x x))))) |
3 calls:
| 89.0ms | (exp.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x x))))) |
| 72.0ms | (log.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))) |
| 28.0ms | (sqrt.f64 (*.f64 x (+.f64 x x))) |
Compiled 140 to 140 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 0 (92.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4819 | 654 |
| 1 | 4819 | 654 |
Found 6 expressions with local error:
| 2.2b | (log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 2)) |
| 0.0b | (exp.f64 (*.f64 x x)) |
| 0.0b | (pow.f64 (exp.f64 (*.f64 x x)) 2) |
| 0.0b | (pow.f64 (exp.f64 (*.f64 x x)) 2) |
| 0.0b | (exp.f64 (*.f64 x x)) |
| 2.2b | (log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 2)) |
| 1× | rewrite-expression-head |
| 8× | log-prod_binary64_164 |
| 7× | add-sqr-sqrt_binary64_100 add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78 |
| 6× | add-log-exp_binary64_117 unpow-prod-down_binary64_157 |
| 4× | add-exp-log_binary64_116 pow1_binary64_139 |
| 3× | add-cbrt-cube_binary64_114 pow-pow_binary64_150 rem-log-exp_binary64_119 pow-unpow_binary64_155 |
| 2× | pow-exp_binary64_146 pow-to-exp_binary64_147 unpow2_binary64_143 sqr-pow_binary64_50 exp-to-pow_binary64_140 exp-prod_binary64_130 |
| 1× | rem-exp-log_binary64_118 log-pow_binary64_167 |
6 calls:
| 3.0ms | (pow.f64 (exp.f64 (*.f64 x x)) 2) |
| 2.0ms | (log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 2)) |
| 2.0ms | (exp.f64 (*.f64 x x)) |
| 0.0ms | (pow.f64 (exp.f64 (*.f64 x x)) 2) |
| 0.0ms | (log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 2)) |
3 calls:
| 94.0ms | (log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 2)) |
| 29.0ms | (pow.f64 (exp.f64 (*.f64 x x)) 2) |
| 16.0ms | (exp.f64 (*.f64 x x)) |
Compiled 206 to 202 computations (1.9% saved)
| 1× | egg-herbie |
Useful iterations: 0 (76.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4924 | 580 |
| 1 | 4924 | 580 |
103 alts after pruning (99 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 136 | 83 | 219 |
| Fresh | 3 | 16 | 19 |
| Picked | 0 | 0 | 0 |
| Done | 2 | 4 | 6 |
| Total | 141 | 103 | 244 |
Compiled 2820 to 1604 computations (43.1% saved)
Found 4 expressions with local error:
| 0.2b | (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))) |
| 0.2b | (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))) |
| 0.2b | (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))) |
| 0.2b | (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))) |
| 1× | rewrite-expression-head |
| 16× | add-exp-log_binary64_116 pow1_binary64_139 |
| 12× | add-sqr-sqrt_binary64_100 |
| 10× | associate-*r*_binary64_18 |
| 9× | add-cbrt-cube_binary64_114 cbrt-unprod_binary64_111 prod-exp_binary64_127 pow-prod-down_binary64_149 |
| 8× | cbrt-prod_binary64_109 |
| 6× | add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78 |
| 4× | sqrt-prod_binary64_94 associate-*l*_binary64_19 |
| 3× | unswap-sqr_binary64_46 |
| 2× | *-commutative_binary64_9 add-log-exp_binary64_117 |
4 calls:
| 11.0ms | (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))) |
| 6.0ms | (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))) |
| 0.0ms | (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))) |
| 0.0ms | (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))) |
2 calls:
| 90.0ms | (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))) |
| 31.0ms | (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))) |
Compiled 120 to 120 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 0 (60.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5097 | 624 |
Found 2 expressions with local error:
| 0.5b | (*.f64 x (sqrt.f64 2)) |
| 0.5b | (*.f64 x (sqrt.f64 2)) |
| 1× | rewrite-expression-head |
| 8× | add-sqr-sqrt_binary64_100 |
| 6× | associate-*r*_binary64_18 |
| 4× | sqrt-prod_binary64_94 add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78 |
| 3× | add-cbrt-cube_binary64_114 associate-*l*_binary64_19 add-exp-log_binary64_116 pow1_binary64_139 |
| 2× | unswap-sqr_binary64_46 |
| 1× | *-commutative_binary64_9 add-log-exp_binary64_117 cbrt-unprod_binary64_111 prod-exp_binary64_127 pow-prod-down_binary64_149 |
2 calls:
| 5.0ms | (*.f64 x (sqrt.f64 2)) |
| 0.0ms | (*.f64 x (sqrt.f64 2)) |
1 calls:
| 30.0ms | (*.f64 x (sqrt.f64 2)) |
Compiled 30 to 30 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 0 (36.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5010 | 211 |
Found 4 expressions with local error:
| 28.5b | (log.f64 (*.f64 x (+.f64 x x))) |
| 6.2b | (pow.f64 (exp.f64 1/2) (log.f64 (*.f64 x (+.f64 x x)))) |
| 6.2b | (pow.f64 (exp.f64 1/2) (log.f64 (*.f64 x (+.f64 x x)))) |
| 28.5b | (log.f64 (*.f64 x (+.f64 x x))) |
| 1× | rewrite-expression-head |
| 9× | pow1_binary64_139 |
| 5× | add-sqr-sqrt_binary64_100 add-cube-cbrt_binary64_113 add-exp-log_binary64_116 pow-unpow_binary64_155 *-un-lft-identity_binary64_78 |
| 4× | pow-pow_binary64_150 log-div_binary64_165 associate-*r/_binary64_20 log-pow_binary64_167 |
| 3× | unpow-prod-down_binary64_157 exp-prod_binary64_130 |
| 2× | add-cbrt-cube_binary64_114 pow-sub_binary64_154 add-log-exp_binary64_117 flip-+_binary64_52 log-prod_binary64_164 rem-log-exp_binary64_119 pow-prod-down_binary64_149 flip3-+_binary64_81 |
| 1× | pow-exp_binary64_146 pow-to-exp_binary64_147 prod-exp_binary64_127 sqr-pow_binary64_50 unpow-prod-up_binary64_156 |
4 calls:
| 7.0ms | (pow.f64 (exp.f64 1/2) (log.f64 (*.f64 x (+.f64 x x)))) |
| 5.0ms | (log.f64 (*.f64 x (+.f64 x x))) |
| 0.0ms | (pow.f64 (exp.f64 1/2) (log.f64 (*.f64 x (+.f64 x x)))) |
| 0.0ms | (log.f64 (*.f64 x (+.f64 x x))) |
2 calls:
| 133.0ms | (pow.f64 (exp.f64 1/2) (log.f64 (*.f64 x (+.f64 x x)))) |
| 60.0ms | (log.f64 (*.f64 x (+.f64 x x))) |
Compiled 144 to 144 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 0 (65.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4897 | 515 |
| 1 | 4897 | 515 |
Found 8 expressions with local error:
| 0.1b | (sqrt.f64 (log.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 4/3) (*.f64 2 (+.f64 (*.f64 x x) (pow.f64 x 4))))))) |
| 0.0b | (+.f64 (*.f64 (pow.f64 x 6) 4/3) (*.f64 2 (+.f64 (*.f64 x x) (pow.f64 x 4)))) |
| 0.0b | (*.f64 2 (+.f64 (*.f64 x x) (pow.f64 x 4))) |
| 0.0b | (+.f64 (*.f64 x x) (pow.f64 x 4)) |
| 0.0b | (*.f64 2 (+.f64 (*.f64 x x) (pow.f64 x 4))) |
| 0.1b | (sqrt.f64 (log.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 4/3) (*.f64 2 (+.f64 (*.f64 x x) (pow.f64 x 4))))))) |
| 0.1b | (*.f64 (pow.f64 x 6) 4/3) |
| 29.4b | (log.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 4/3) (*.f64 2 (+.f64 (*.f64 x x) (pow.f64 x 4)))))) |
| 1× | rewrite-expression-head |
| 19× | add-sqr-sqrt_binary64_100 |
| 13× | *-un-lft-identity_binary64_78 |
| 12× | add-exp-log_binary64_116 |
| 11× | add-cube-cbrt_binary64_113 |
| 10× | associate-*l*_binary64_19 |
| 9× | pow1_binary64_139 |
| 8× | add-cbrt-cube_binary64_114 |
| 6× | associate-*r*_binary64_18 |
| 4× | sqrt-prod_binary64_94 add-log-exp_binary64_117 prod-exp_binary64_127 unpow-prod-down_binary64_157 log-prod_binary64_164 unswap-sqr_binary64_46 |
| 2× | *-commutative_binary64_9 cbrt-unprod_binary64_111 flip-+_binary64_52 sqr-pow_binary64_50 log-div_binary64_165 associate-*r/_binary64_20 log-pow_binary64_167 flip3-+_binary64_81 |
| 1× | distribute-lft-in_binary64_27 pow-exp_binary64_146 pow-to-exp_binary64_147 sqrt-pow1_binary64_96 rem-sqrt-square_binary64_91 distribute-rgt-in_binary64_28 rem-log-exp_binary64_119 pow-prod-down_binary64_149 distribute-lft-out_binary64_29 pow1/2_binary64_158 |
8 calls:
| 8.0ms | (*.f64 2 (+.f64 (*.f64 x x) (pow.f64 x 4))) |
| 6.0ms | (log.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 4/3) (*.f64 2 (+.f64 (*.f64 x x) (pow.f64 x 4)))))) |
| 5.0ms | (*.f64 (pow.f64 x 6) 4/3) |
| 2.0ms | (sqrt.f64 (log.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 4/3) (*.f64 2 (+.f64 (*.f64 x x) (pow.f64 x 4))))))) |
| 0.0ms | (+.f64 (*.f64 x x) (pow.f64 x 4)) |
4 calls:
| 112.0ms | (sqrt.f64 (log.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 4/3) (*.f64 2 (+.f64 (*.f64 x x) (pow.f64 x 4))))))) |
| 88.0ms | (log.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 4/3) (*.f64 2 (+.f64 (*.f64 x x) (pow.f64 x 4)))))) |
| 83.0ms | (*.f64 2 (+.f64 (*.f64 x x) (pow.f64 x 4))) |
| 43.0ms | (*.f64 (pow.f64 x 6) 4/3) |
Compiled 532 to 485 computations (8.8% saved)
| 1× | egg-herbie |
Useful iterations: 0 (74.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4906 | 1831 |
| 1 | 4906 | 1831 |
Found 6 expressions with local error:
| 0.3b | (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 2))) (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 2)))) |
| 0.2b | (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 2))) |
| 0.2b | (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 2))) |
| 0.2b | (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 2))) |
| 0.2b | (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 2))) |
| 0.3b | (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 2))) (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 2)))) |
| 1× | rewrite-expression-head |
| 66× | pow1_binary64_139 |
| 42× | sqrt-prod_binary64_94 |
| 41× | pow-prod-down_binary64_149 |
| 37× | add-sqr-sqrt_binary64_100 |
| 20× | sqrt-pow1_binary64_96 pow1/2_binary64_158 |
| 19× | add-cbrt-cube_binary64_114 associate-*r*_binary64_18 add-exp-log_binary64_116 |
| 13× | associate-*l*_binary64_19 add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78 |
| 12× | unswap-sqr_binary64_46 |
| 10× | cbrt-unprod_binary64_111 prod-exp_binary64_127 |
| 8× | pow-prod-up_binary64_148 |
| 7× | sqrt-unprod_binary64_98 |
| 6× | pow-sqr_binary64_51 |
| 3× | *-commutative_binary64_9 add-log-exp_binary64_117 |
| 2× | pow-plus_binary64_141 |
| 1× | pow2_binary64_159 swap-sqr_binary64_45 rem-square-sqrt_binary64_90 |
6 calls:
| 17.0ms | (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 2))) (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 2)))) |
| 9.0ms | (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 2))) |
| 8.0ms | (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 2))) |
| 0.0ms | (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 2))) |
| 0.0ms | (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 2))) (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 2)))) |
3 calls:
| 27.0ms | (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 2))) (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 2)))) |
| 23.0ms | (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 2))) |
| 23.0ms | (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 2))) |
Compiled 251 to 235 computations (6.4% saved)
| 1× | egg-herbie |
Useful iterations: 0 (56.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4927 | 1246 |
| 1 | 4927 | 1246 |
195 alts after pruning (186 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 243 | 98 | 341 |
| Fresh | 6 | 88 | 94 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 9 | 9 |
| Total | 249 | 195 | 444 |
Compiled 6823 to 5127 computations (24.9% saved)
Found 6 expressions with local error:
| 0.4b | (*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) |
| 0.3b | (*.f64 (*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))) |
| 0.2b | (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) |
| 0.2b | (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) |
| 0.3b | (*.f64 (*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))) |
| 0.4b | (*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) |
| 1× | rewrite-expression-head |
| 49× | add-exp-log_binary64_116 pow1_binary64_139 |
| 33× | cbrt-unprod_binary64_111 prod-exp_binary64_127 pow-prod-down_binary64_149 |
| 24× | add-cbrt-cube_binary64_114 |
| 15× | cbrt-prod_binary64_109 |
| 14× | associate-*r*_binary64_18 |
| 9× | add-sqr-sqrt_binary64_100 |
| 8× | add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78 |
| 5× | associate-*l*_binary64_19 |
| 3× | sqrt-prod_binary64_94 *-commutative_binary64_9 add-log-exp_binary64_117 |
| 1× | unswap-sqr_binary64_46 |
6 calls:
| 22.0ms | (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) |
| 15.0ms | (*.f64 (*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))) |
| 10.0ms | (*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) |
| 0.0ms | (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) |
| 0.0ms | (*.f64 (*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))) |
3 calls:
| 118.0ms | (*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) |
| 96.0ms | (*.f64 (*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))) |
| 36.0ms | (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) |
Compiled 252 to 252 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 0 (68.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4895 | 1187 |
| 1 | 4895 | 1187 |
Found 2 expressions with local error:
| 0.5b | (*.f64 x (sqrt.f64 2)) |
| 0.5b | (*.f64 x (sqrt.f64 2)) |
| 1× | rewrite-expression-head |
| 8× | add-sqr-sqrt_binary64_100 |
| 6× | associate-*r*_binary64_18 |
| 4× | sqrt-prod_binary64_94 add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78 |
| 3× | add-cbrt-cube_binary64_114 associate-*l*_binary64_19 add-exp-log_binary64_116 pow1_binary64_139 |
| 2× | unswap-sqr_binary64_46 |
| 1× | *-commutative_binary64_9 add-log-exp_binary64_117 cbrt-unprod_binary64_111 prod-exp_binary64_127 pow-prod-down_binary64_149 |
2 calls:
| 5.0ms | (*.f64 x (sqrt.f64 2)) |
| 0.0ms | (*.f64 x (sqrt.f64 2)) |
1 calls:
| 29.0ms | (*.f64 x (sqrt.f64 2)) |
Compiled 36 to 36 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 0 (37.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5010 | 211 |
Found 6 expressions with local error:
| 2.7b | (exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 (neg.f64 x)))) |
| 1.0b | (log.f64 (sqrt.f64 2)) |
| 0.1b | (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 (neg.f64 x))) |
| 0.1b | (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 (neg.f64 x))) |
| 1.0b | (log.f64 (sqrt.f64 2)) |
| 2.7b | (exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 (neg.f64 x)))) |
| 1× | rewrite-expression-head |
| 22× | log-prod_binary64_164 |
| 19× | *-un-lft-identity_binary64_78 |
| 13× | pow1_binary64_139 |
| 11× | add-sqr-sqrt_binary64_100 add-cube-cbrt_binary64_113 log-pow_binary64_167 |
| 10× | associate-+r+_binary64_10 |
| 8× | distribute-lft-out_binary64_29 |
| 7× | exp-prod_binary64_130 |
| 6× | sqrt-prod_binary64_94 associate-+l+_binary64_11 |
| 4× | add-log-exp_binary64_117 add-exp-log_binary64_116 |
| 3× | add-cbrt-cube_binary64_114 distribute-lft-neg-in_binary64_35 distribute-rgt-neg-in_binary64_36 |
| 2× | rem-exp-log_binary64_118 sum-log_binary64_169 |
| 1× | +-commutative_binary64_8 sqrt-pow1_binary64_96 exp-sum_binary64_124 flip-+_binary64_52 neg-mul-1_binary64_74 rem-log-exp_binary64_119 pow1/2_binary64_158 flip3-+_binary64_81 |
6 calls:
| 8.0ms | (exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 (neg.f64 x)))) |
| 6.0ms | (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 (neg.f64 x))) |
| 2.0ms | (log.f64 (sqrt.f64 2)) |
| 0.0ms | (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 (neg.f64 x))) |
| 0.0ms | (exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 (neg.f64 x)))) |
3 calls:
| 124.0ms | (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 (neg.f64 x))) |
| 120.0ms | (exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 (neg.f64 x)))) |
| 0.0ms | (log.f64 (sqrt.f64 2)) |
Compiled 124 to 124 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 0 (56.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4988 | 755 |
| 1 | 4988 | 755 |
Found 8 expressions with local error:
| 17.7b | (sqrt.f64 (*.f64 2 (pow.f64 x 4))) |
| 5.7b | (exp.f64 (-.f64 (log.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 4)))) (log.f64 (fabs.f64 x)))) |
| 0.6b | (-.f64 (log.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 4)))) (log.f64 (fabs.f64 x))) |
| 0.0b | (*.f64 2 (pow.f64 x 4)) |
| 0.6b | (-.f64 (log.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 4)))) (log.f64 (fabs.f64 x))) |
| 5.7b | (exp.f64 (-.f64 (log.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 4)))) (log.f64 (fabs.f64 x)))) |
| 17.7b | (sqrt.f64 (*.f64 2 (pow.f64 x 4))) |
| 28.5b | (log.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 4)))) |
| 1× | rewrite-expression-head |
| 19× | *-un-lft-identity_binary64_78 |
| 17× | pow1_binary64_139 |
| 15× | add-sqr-sqrt_binary64_100 log-prod_binary64_164 |
| 13× | log-pow_binary64_167 |
| 11× | add-cube-cbrt_binary64_113 |
| 9× | exp-sum_binary64_124 |
| 8× | distribute-lft-out--_binary64_30 associate--l+_binary64_15 exp-prod_binary64_130 cancel-sign-sub-inv_binary64_44 |
| 5× | add-log-exp_binary64_117 add-exp-log_binary64_116 |
| 4× | add-cbrt-cube_binary64_114 sqrt-prod_binary64_94 |
| 3× | associate--r+_binary64_14 |
| 2× | sqrt-pow1_binary64_96 diff-log_binary64_170 rem-exp-log_binary64_118 difference-of-squares_binary64_47 pow1/2_binary64_158 sub-neg_binary64_71 |
| 1× | flip3--_binary64_82 flip--_binary64_53 exp-diff_binary64_126 rem-log-exp_binary64_119 |
8 calls:
| 12.0ms | (-.f64 (log.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 4)))) (log.f64 (fabs.f64 x))) |
| 8.0ms | (exp.f64 (-.f64 (log.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 4)))) (log.f64 (fabs.f64 x)))) |
| 4.0ms | (log.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 4)))) |
| 3.0ms | (sqrt.f64 (*.f64 2 (pow.f64 x 4))) |
| 0.0ms | (*.f64 2 (pow.f64 x 4)) |
4 calls:
| 150.0ms | (exp.f64 (-.f64 (log.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 4)))) (log.f64 (fabs.f64 x)))) |
| 137.0ms | (-.f64 (log.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 4)))) (log.f64 (fabs.f64 x))) |
| 73.0ms | (log.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 4)))) |
| 34.0ms | (sqrt.f64 (*.f64 2 (pow.f64 x 4))) |
Compiled 330 to 306 computations (7.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (78.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4895 | 1422 |
| 1 | 4895 | 1422 |
Found 8 expressions with local error:
| 0.1b | (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x x))))) |
| 0.1b | (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x x))))) |
| 0.0b | (log.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))) |
| 0.0b | (log.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))) |
| 1.2b | (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))) |
| 3.1b | (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))) |
| 27.5b | (sqrt.f64 (*.f64 x (+.f64 x x))) |
| 27.5b | (sqrt.f64 (*.f64 x (+.f64 x x))) |
| 1× | rewrite-expression-head |
| 23× | sqrt-prod_binary64_94 pow1_binary64_139 |
| 20× | exp-prod_binary64_130 |
| 12× | log-pow_binary64_167 |
| 11× | add-sqr-sqrt_binary64_100 add-cube-cbrt_binary64_113 pow-pow_binary64_150 *-un-lft-identity_binary64_78 |
| 10× | sqrt-pow1_binary64_96 pow-unpow_binary64_155 |
| 5× | add-log-exp_binary64_117 pow-prod-down_binary64_149 pow1/2_binary64_158 |
| 4× | add-cbrt-cube_binary64_114 add-exp-log_binary64_116 sqrt-div_binary64_95 associate-*r/_binary64_20 |
| 3× | unpow-prod-down_binary64_157 |
| 2× | flip-+_binary64_52 flip3-+_binary64_81 |
| 1× | pow-exp_binary64_146 pow-to-exp_binary64_147 rem-exp-log_binary64_118 sqr-pow_binary64_50 |
8 calls:
| 15.0ms | (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))) |
| 6.0ms | (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))) |
| 5.0ms | (sqrt.f64 (*.f64 x (+.f64 x x))) |
| 5.0ms | (sqrt.f64 (*.f64 x (+.f64 x x))) |
| 0.0ms | (log.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))) |
4 calls:
| 312.0ms | (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))) |
| 104.0ms | (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))) |
| 29.0ms | (sqrt.f64 (*.f64 x (+.f64 x x))) |
| 29.0ms | (sqrt.f64 (*.f64 x (+.f64 x x))) |
Compiled 422 to 360 computations (14.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (78.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4890 | 1654 |
| 1 | 4890 | 1654 |
308 alts after pruning (294 fresh and 14 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 245 | 124 | 369 |
| Fresh | 11 | 170 | 181 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 14 | 14 |
| Total | 256 | 308 | 564 |
Compiled 4390 to 2559 computations (41.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (39.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2385 | 14592 |
| 1 | 2385 | 14592 |
Compiled 28020 to 21175 computations (24.4% saved)
Compiled 14111 to 11336 computations (19.7% saved)
Compiled 11337 to 9162 computations (19.2% saved)
Compiled 9064 to 7478 computations (17.5% saved)
Compiled 4484 to 3715 computations (17.1% saved)
Compiled 4444 to 3675 computations (17.3% saved)
Compiled 424 to 342 computations (19.3% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 11 | -2.545738461740407e-290 | 1.9658603115733064e-305 | -1.43388241055396e-310 |
Compiled 1 to 1 computations (0% saved)
Compiled 13 to 17 computations (-30.8% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 10 | -2.1355396828630583e-202 | -6.130160872703383e-218 | -3.489520080313717e-206 |
Compiled 1 to 1 computations (0% saved)
Compiled 5 to 8 computations (-60% saved)
Compiled 96 to 94 computations (2.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (1.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 157 |
| 1 | 73 | 157 |
| 1× | intervals |
| 193.0ms | 8000× | body | 128 | valid |
Compiled 7070 to 5379 computations (23.9% saved)
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