Time bar (total: 10.6s)
| 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 |
| 25% | 74.9% | 0.1% | 5 |
| 25% | 68.7% | 6.3% | 6 |
| 25% | 56.2% | 18.8% | 7 |
| 25% | 48.4% | 26.6% | 8 |
| 25% | 35.1% | 39.9% | 9 |
| 28.1% | 18.3% | 53.6% | 10 |
| 31.6% | 12.3% | 56.1% | 11 |
| 33.4% | 5.9% | 60.8% | 12 |
| 35.2% | 3.8% | 61% | 13 |
| 36.1% | 2.9% | 61% | 14 |
Compiled 32 to 22 computations (31.3% saved)
| 1× | intervals |
| 19.0ms | 256× | body | 128 | valid |
Compiled 63 to 45 computations (28.6% saved)
| 1× | egg-herbie |
Useful iterations: 0 (55.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5029 | 46 |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 0 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 1 | 2 |
Compiled 62 to 42 computations (32.3% saved)
Found 8 expressions with local error:
| 0.0b | (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a))))) |
| 0.0b | (+.f64 (*.f64 a a) (*.f64 b b)) |
| 0.0b | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) 1) |
| 0.0b | (-.f64 1 (*.f64 3 a)) |
| 0.0b | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) |
| 0.1b | (*.f64 (*.f64 a a) (+.f64 1 a)) |
| 0.3b | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) |
| 1.0b | (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a))) |
| 1× | rewrite-expression-head |
| 15× | add-exp-log_binary64_2844 pow1_binary64_2867 |
| 14× | add-cbrt-cube_binary64_2842 |
| 10× | add-sqr-sqrt_binary64_2828 *-un-lft-identity_binary64_2806 |
| 8× | add-cube-cbrt_binary64_2841 |
| 7× | associate-*r*_binary64_2746 |
| 6× | prod-exp_binary64_2855 cbrt-unprod_binary64_2839 add-log-exp_binary64_2845 pow-prod-down_binary64_2877 |
| 4× | distribute-lft-in_binary64_2755 distribute-rgt-in_binary64_2756 associate-*r/_binary64_2748 |
| 3× | pow-unpow_binary64_2883 unpow-prod-down_binary64_2885 |
| 2× | associate-*l*_binary64_2747 cancel-sign-sub-inv_binary64_2772 *-commutative_binary64_2737 associate-+r+_binary64_2738 sub-neg_binary64_2799 flip-+_binary64_2780 flip3-+_binary64_2809 unswap-sqr_binary64_2774 |
| 1× | pow-exp_binary64_2874 distribute-lft-out_binary64_2757 flip3--_binary64_2810 pow-pow_binary64_2878 pow-to-exp_binary64_2875 sum-log_binary64_2897 flip--_binary64_2781 sqr-pow_binary64_2778 unpow2_binary64_2871 +-commutative_binary64_2736 |
8 calls:
| 9.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) |
| 8.0ms | (*.f64 (*.f64 a a) (+.f64 1 a)) |
| 8.0ms | (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a))) |
| 5.0ms | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) |
| 0.0ms | (-.f64 1 (*.f64 3 a)) |
4 calls:
| 402.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) |
| 202.0ms | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) |
| 106.0ms | (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a))) |
| 46.0ms | (*.f64 (*.f64 a a) (+.f64 1 a)) |
Compiled 2220 to 1776 computations (20% saved)
| 1× | egg-herbie |
Useful iterations: 0 (28.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5452 | 2616 |
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 130 | 4 | 134 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 130 | 5 | 135 |
Compiled 4716 to 2591 computations (45.1% saved)
Found 8 expressions with local error:
| 0.0b | (*.f64 2 (*.f64 (*.f64 b b) (*.f64 a a))) |
| 0.0b | (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (*.f64 2 (*.f64 (*.f64 b b) (*.f64 a a))))) |
| 0.0b | (-.f64 (+.f64 (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (*.f64 2 (*.f64 (*.f64 b b) (*.f64 a a))))) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) 1) |
| 0.0b | (-.f64 1 (*.f64 3 a)) |
| 0.0b | (+.f64 (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (*.f64 2 (*.f64 (*.f64 b b) (*.f64 a a))))) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) |
| 0.1b | (*.f64 (*.f64 a a) (+.f64 1 a)) |
| 1.0b | (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a))) |
| 3.9b | (*.f64 (*.f64 b b) (*.f64 a a)) |
| 1× | rewrite-expression-head |
| 42× | pow1_binary64_2867 |
| 32× | associate-*r/_binary64_2748 |
| 26× | add-exp-log_binary64_2844 add-cbrt-cube_binary64_2842 |
| 20× | frac-add_binary64_2814 pow-prod-down_binary64_2877 |
| 14× | prod-exp_binary64_2855 cbrt-unprod_binary64_2839 flip-+_binary64_2780 flip3-+_binary64_2809 |
| 13× | add-log-exp_binary64_2845 |
| 8× | add-sqr-sqrt_binary64_2828 *-un-lft-identity_binary64_2806 associate-*r*_binary64_2746 |
| 6× | sum-log_binary64_2897 add-cube-cbrt_binary64_2841 |
| 5× | flip3--_binary64_2810 flip--_binary64_2781 |
| 4× | distribute-lft-in_binary64_2755 distribute-rgt-in_binary64_2756 pow-prod-up_binary64_2876 pow-plus_binary64_2869 |
| 3× | associate-*l*_binary64_2747 *-commutative_binary64_2737 unswap-sqr_binary64_2774 |
| 2× | pow-sqr_binary64_2779 cancel-sign-sub-inv_binary64_2772 associate-+r+_binary64_2738 sub-neg_binary64_2799 pow2_binary64_2887 |
| 1× | distribute-lft-out_binary64_2757 associate-+l+_binary64_2739 +-commutative_binary64_2736 |
8 calls:
| 16.0ms | (+.f64 (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (*.f64 2 (*.f64 (*.f64 b b) (*.f64 a a))))) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) |
| 10.0ms | (*.f64 (*.f64 a a) (+.f64 1 a)) |
| 9.0ms | (*.f64 (*.f64 b b) (*.f64 a a)) |
| 8.0ms | (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a))) |
| 0.0ms | (-.f64 1 (*.f64 3 a)) |
4 calls:
| 395.0ms | (+.f64 (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (*.f64 2 (*.f64 (*.f64 b b) (*.f64 a a))))) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) |
| 103.0ms | (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a))) |
| 79.0ms | (*.f64 (*.f64 b b) (*.f64 a a)) |
| 48.0ms | (*.f64 (*.f64 a a) (+.f64 1 a)) |
Compiled 2052 to 1632 computations (20.5% saved)
| 1× | egg-herbie |
Useful iterations: 0 (62.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4957 | 5537 |
| 1 | 4957 | 5537 |
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 148 | 0 | 148 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 148 | 5 | 153 |
Compiled 7552 to 4438 computations (41.2% saved)
Found 8 expressions with local error:
| 0.0b | (+.f64 (*.f64 b b) (*.f64 a a)) |
| 0.0b | (+.f64 (*.f64 b b) (*.f64 a a)) |
| 0.0b | (-.f64 (+.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 b b) (*.f64 a a))) 4) (pow.f64 (cbrt.f64 (+.f64 (*.f64 b b) (*.f64 a a))) 2)) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) 1) |
| 0.0b | (-.f64 1 (*.f64 3 a)) |
| 0.7b | (pow.f64 (cbrt.f64 (+.f64 (*.f64 b b) (*.f64 a a))) 4) |
| 1.0b | (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a))) |
| 10.8b | (cbrt.f64 (+.f64 (*.f64 b b) (*.f64 a a))) |
| 10.8b | (cbrt.f64 (+.f64 (*.f64 b b) (*.f64 a a))) |
| 1× | rewrite-expression-head |
| 11× | add-sqr-sqrt_binary64_2828 |
| 10× | add-exp-log_binary64_2844 *-un-lft-identity_binary64_2806 add-cube-cbrt_binary64_2841 pow1_binary64_2867 |
| 9× | add-cbrt-cube_binary64_2842 cbrt-prod_binary64_2837 |
| 6× | unpow-prod-down_binary64_2885 |
| 4× | cbrt-div_binary64_2838 add-log-exp_binary64_2845 |
| 3× | pow1/3_binary64_2888 prod-exp_binary64_2855 pow-unpow_binary64_2883 cbrt-unprod_binary64_2839 associate-*r*_binary64_2746 pow-prod-down_binary64_2877 |
| 2× | cancel-sign-sub-inv_binary64_2772 distribute-lft-in_binary64_2755 distribute-rgt-in_binary64_2756 pow-pow_binary64_2878 sub-neg_binary64_2799 flip-+_binary64_2780 flip3-+_binary64_2809 associate-*r/_binary64_2748 |
| 1× | associate-*l*_binary64_2747 pow-exp_binary64_2874 *-commutative_binary64_2737 flip3--_binary64_2810 pow-to-exp_binary64_2875 flip--_binary64_2781 sqr-pow_binary64_2778 unswap-sqr_binary64_2774 |
8 calls:
| 8.0ms | (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a))) |
| 6.0ms | (cbrt.f64 (+.f64 (*.f64 b b) (*.f64 a a))) |
| 5.0ms | (pow.f64 (cbrt.f64 (+.f64 (*.f64 b b) (*.f64 a a))) 4) |
| 4.0ms | (cbrt.f64 (+.f64 (*.f64 b b) (*.f64 a a))) |
| 0.0ms | (-.f64 1 (*.f64 3 a)) |
4 calls:
| 395.0ms | (pow.f64 (cbrt.f64 (+.f64 (*.f64 b b) (*.f64 a a))) 4) |
| 179.0ms | (cbrt.f64 (+.f64 (*.f64 b b) (*.f64 a a))) |
| 169.0ms | (cbrt.f64 (+.f64 (*.f64 b b) (*.f64 a a))) |
| 108.0ms | (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a))) |
Compiled 3737 to 2739 computations (26.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (66.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4912 | 2050 |
| 1 | 4912 | 2050 |
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 120 | 0 | 120 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 120 | 5 | 125 |
Compiled 5858 to 2807 computations (52.1% saved)
Found 8 expressions with local error:
| 0.0b | (-.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 4) (*.f64 (+.f64 (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a))) (*.f64 (*.f64 a a) (+.f64 1 a))) (*.f64 (+.f64 (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a))) (*.f64 (*.f64 a a) (+.f64 1 a))) 16))) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a))) (*.f64 (*.f64 a a) (+.f64 1 a)))))) 1) |
| 0.0b | (-.f64 1 (*.f64 3 a)) |
| 0.0b | (-.f64 1 (*.f64 3 a)) |
| 0.0b | (-.f64 1 (*.f64 3 a)) |
| 1.0b | (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a))) |
| 1.0b | (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a))) |
| 4.0b | (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 4) (*.f64 (+.f64 (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a))) (*.f64 (*.f64 a a) (+.f64 1 a))) (*.f64 (+.f64 (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a))) (*.f64 (*.f64 a a) (+.f64 1 a))) 16))) |
| 34.8b | (/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 4) (*.f64 (+.f64 (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a))) (*.f64 (*.f64 a a) (+.f64 1 a))) (*.f64 (+.f64 (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a))) (*.f64 (*.f64 a a) (+.f64 1 a))) 16))) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a))) (*.f64 (*.f64 a a) (+.f64 1 a)))))) |
| 1× | rewrite-expression-head |
| 16× | add-sqr-sqrt_binary64_2828 add-exp-log_binary64_2844 add-cbrt-cube_binary64_2842 |
| 14× | *-un-lft-identity_binary64_2806 add-cube-cbrt_binary64_2841 pow1_binary64_2867 |
| 9× | times-frac_binary64_2812 |
| 6× | prod-exp_binary64_2855 cbrt-unprod_binary64_2839 add-log-exp_binary64_2845 associate-*r*_binary64_2746 pow-prod-down_binary64_2877 |
| 5× | cancel-sign-sub-inv_binary64_2772 flip3--_binary64_2810 sub-neg_binary64_2799 flip--_binary64_2781 |
| 4× | distribute-lft-in_binary64_2755 distribute-rgt-in_binary64_2756 associate-*r/_binary64_2748 |
| 3× | associate-/r*_binary64_2750 associate-/l*_binary64_2751 |
| 2× | associate-*l*_binary64_2747 associate-/l/_binary64_2753 *-commutative_binary64_2737 associate-/r/_binary64_2752 unswap-sqr_binary64_2774 |
| 1× | div-inv_binary64_2803 div-exp_binary64_2857 cbrt-undiv_binary64_2840 div-sub_binary64_2811 diff-log_binary64_2898 clear-num_binary64_2805 frac-2neg_binary64_2817 |
8 calls:
| 16.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 4) (*.f64 (+.f64 (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a))) (*.f64 (*.f64 a a) (+.f64 1 a))) (*.f64 (+.f64 (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a))) (*.f64 (*.f64 a a) (+.f64 1 a))) 16))) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a))) (*.f64 (*.f64 a a) (+.f64 1 a)))))) |
| 11.0ms | (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 4) (*.f64 (+.f64 (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a))) (*.f64 (*.f64 a a) (+.f64 1 a))) (*.f64 (+.f64 (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a))) (*.f64 (*.f64 a a) (+.f64 1 a))) 16))) |
| 9.0ms | (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a))) |
| 8.0ms | (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a))) |
| 0.0ms | (-.f64 1 (*.f64 3 a)) |
4 calls:
| 3.4s | (/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 4) (*.f64 (+.f64 (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a))) (*.f64 (*.f64 a a) (+.f64 1 a))) (*.f64 (+.f64 (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a))) (*.f64 (*.f64 a a) (+.f64 1 a))) 16))) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a))) (*.f64 (*.f64 a a) (+.f64 1 a)))))) |
| 374.0ms | (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 4) (*.f64 (+.f64 (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a))) (*.f64 (*.f64 a a) (+.f64 1 a))) (*.f64 (+.f64 (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a))) (*.f64 (*.f64 a a) (+.f64 1 a))) 16))) |
| 119.0ms | (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a))) |
| 106.0ms | (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a))) |
Compiled 8163 to 6110 computations (25.2% saved)
| 1× | egg-herbie |
Useful iterations: 0 (23.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5136 | 11775 |
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 153 | 0 | 153 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 153 | 5 | 158 |
Compiled 14784 to 8251 computations (44.2% saved)
| 1× | egg-herbie |
Useful iterations: 0 (40.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1044 | 1140 |
| 1 | 1044 | 1140 |
Compiled 3004 to 1989 computations (33.8% saved)
Compiled 1003 to 761 computations (24.1% saved)
Compiled 523 to 437 computations (16.4% saved)
Compiled 64 to 74 computations (-15.6% saved)
Compiled 10 to 26 computations (-160% saved)
Total 0.0b remaining (75.3%)
Threshold costs 0.0b (75.3%)
Compiled 8 to 20 computations (-150% saved)
Compiled 124 to 84 computations (32.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (1.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 104 | 183 |
| 1 | 104 | 183 |
| 1× | intervals |
| 515.0ms | 8000× | body | 128 | valid |
| 0.0ms | 5× | body | 128 | invalid |
Compiled 923 to 616 computations (33.3% saved)
0.9083099687837982
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