Time bar (total: 7.8s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 48.6% | 51.4% | 0 |
| 0% | 48.6% | 51.4% | 1 |
| 24.3% | 24.3% | 51.4% | 2 |
| 24.3% | 24.3% | 51.4% | 3 |
| 30.4% | 18.2% | 51.4% | 4 |
| 30.4% | 18.2% | 51.4% | 5 |
| 33.4% | 15.2% | 51.4% | 6 |
| 33.4% | 15.2% | 51.4% | 7 |
| 34.6% | 14.1% | 51.4% | 8 |
| 34.8% | 13.9% | 51.4% | 9 |
| 35.4% | 13.2% | 51.4% | 10 |
| 35.6% | 13.1% | 51.4% | 11 |
| 35.9% | 12.7% | 51.4% | 12 |
| 36% | 12.6% | 51.4% | 13 |
| 36.2% | 12.4% | 51.4% | 14 |
Compiled 22 to 18 computations (18.2% saved)
| 1× | intervals |
| 13.0ms | 192× | body | 128 | valid |
| 7.0ms | 25× | body | 2048 | valid |
| 5.0ms | 256× | pre | 128 | true |
| 3.0ms | 17× | body | 1024 | valid |
| 2.0ms | 7× | body | 4096 | valid |
| 1.0ms | 9× | body | 256 | valid |
| 1.0ms | 6× | body | 512 | valid |
Compiled 39 to 34 computations (12.8% saved)
| 1× | egg-herbie |
Useful iterations: 0 (3.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 26 |
| 1 | 38 | 26 |
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 34 to 28 computations (17.6% saved)
Found 8 expressions with local error:
| 0.9b | (+.f64 1 (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 4 p) p) (*.f64 x x))))) |
| 0.0b | (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 4 p) p) (*.f64 x x))))))) |
| 0.0b | (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 4 p) p) (*.f64 x x)))) |
| 0.0b | (+.f64 (*.f64 (*.f64 4 p) p) (*.f64 x x)) |
| 0.0b | (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 4 p) p) (*.f64 x x))))))) |
| 0.0b | (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 4 p) p) (*.f64 x x)))) |
| 0.9b | (+.f64 1 (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 4 p) p) (*.f64 x x))))) |
| 14.5b | (sqrt.f64 (+.f64 (*.f64 (*.f64 4 p) p) (*.f64 x x))) |
| 1× | rewrite-expression-head |
| 22× | *-un-lft-identity_binary64_3147 |
| 21× | add-sqr-sqrt_binary64_3169 |
| 20× | add-cube-cbrt_binary64_3182 |
| 18× | times-frac_binary64_3153 |
| 16× | sqrt-prod_binary64_3163 |
| 8× | pow1_binary64_3208 |
| 6× | add-exp-log_binary64_3185 add-cbrt-cube_binary64_3183 associate-/r*_binary64_3091 add-log-exp_binary64_3186 sqrt-div_binary64_3164 |
| 4× | flip-+_binary64_3121 flip3-+_binary64_3150 |
| 3× | sqrt-pow1_binary64_3165 associate-/l*_binary64_3092 |
| 2× | pow1/2_binary64_3227 associate-/r/_binary64_3093 associate-*r/_binary64_3089 |
| 1× | clear-num_binary64_3146 pow-prod-down_binary64_3218 frac-2neg_binary64_3158 distribute-lft-out_binary64_3098 rem-sqrt-square_binary64_3160 +-commutative_binary64_3077 cbrt-undiv_binary64_3181 div-exp_binary64_3198 div-inv_binary64_3144 sum-log_binary64_3238 |
8 calls:
| 14.0ms | (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 4 p) p) (*.f64 x x))))))) |
| 13.0ms | (+.f64 1 (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 4 p) p) (*.f64 x x))))) |
| 8.0ms | (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 4 p) p) (*.f64 x x)))) |
| 6.0ms | (sqrt.f64 (+.f64 (*.f64 (*.f64 4 p) p) (*.f64 x x))) |
| 0.0ms | (+.f64 (*.f64 (*.f64 4 p) p) (*.f64 x x)) |
4 calls:
| 178.0ms | (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 4 p) p) (*.f64 x x))))))) |
| 135.0ms | (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 4 p) p) (*.f64 x x)))) |
| 122.0ms | (+.f64 1 (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 4 p) p) (*.f64 x x))))) |
| 116.0ms | (sqrt.f64 (+.f64 (*.f64 (*.f64 4 p) p) (*.f64 x x))) |
Compiled 1498 to 1382 computations (7.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (29.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5024 | 3051 |
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 129 | 6 | 135 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 130 | 6 | 136 |
Compiled 3092 to 2046 computations (33.8% saved)
Found 8 expressions with local error:
| 0.2b | (*.f64 x (/.f64 1 (sqrt.f64 (+.f64 (*.f64 p (*.f64 4 p)) (*.f64 x x))))) |
| 0.0b | (sqrt.f64 (*.f64 1/2 (+.f64 1 (*.f64 x (/.f64 1 (sqrt.f64 (+.f64 (*.f64 p (*.f64 4 p)) (*.f64 x x)))))))) |
| 0.0b | (+.f64 (*.f64 p (*.f64 4 p)) (*.f64 x x)) |
| 0.0b | (/.f64 1 (sqrt.f64 (+.f64 (*.f64 p (*.f64 4 p)) (*.f64 x x)))) |
| 0.0b | (sqrt.f64 (*.f64 1/2 (+.f64 1 (*.f64 x (/.f64 1 (sqrt.f64 (+.f64 (*.f64 p (*.f64 4 p)) (*.f64 x x)))))))) |
| 0.2b | (*.f64 x (/.f64 1 (sqrt.f64 (+.f64 (*.f64 p (*.f64 4 p)) (*.f64 x x))))) |
| 2.6b | (+.f64 1 (*.f64 x (/.f64 1 (sqrt.f64 (+.f64 (*.f64 p (*.f64 4 p)) (*.f64 x x)))))) |
| 14.5b | (sqrt.f64 (+.f64 (*.f64 p (*.f64 4 p)) (*.f64 x x))) |
| 1× | rewrite-expression-head |
| 32× | add-sqr-sqrt_binary64_3169 |
| 24× | associate-*r*_binary64_3087 |
| 22× | times-frac_binary64_3153 |
| 21× | *-un-lft-identity_binary64_3147 |
| 19× | add-cube-cbrt_binary64_3182 |
| 15× | sqrt-prod_binary64_3163 |
| 13× | add-exp-log_binary64_3185 |
| 10× | pow1_binary64_3208 |
| 9× | add-cbrt-cube_binary64_3183 |
| 6× | add-log-exp_binary64_3186 sqrt-div_binary64_3164 |
| 5× | unswap-sqr_binary64_3115 |
| 4× | flip-+_binary64_3121 flip3-+_binary64_3150 prod-exp_binary64_3196 |
| 3× | sqrt-pow1_binary64_3165 associate-*l*_binary64_3088 associate-*r/_binary64_3089 |
| 2× | pow-prod-down_binary64_3218 pow1/2_binary64_3227 cbrt-unprod_binary64_3180 div-exp_binary64_3198 associate-/r/_binary64_3093 |
| 1× | *-commutative_binary64_3078 rem-sqrt-square_binary64_3160 +-commutative_binary64_3077 cbrt-undiv_binary64_3181 un-div-inv_binary64_3145 1-exp_binary64_3191 rec-exp_binary64_3197 div-inv_binary64_3144 sum-log_binary64_3238 |
8 calls:
| 15.0ms | (*.f64 x (/.f64 1 (sqrt.f64 (+.f64 (*.f64 p (*.f64 4 p)) (*.f64 x x))))) |
| 5.0ms | (sqrt.f64 (+.f64 (*.f64 p (*.f64 4 p)) (*.f64 x x))) |
| 4.0ms | (sqrt.f64 (*.f64 1/2 (+.f64 1 (*.f64 x (/.f64 1 (sqrt.f64 (+.f64 (*.f64 p (*.f64 4 p)) (*.f64 x x)))))))) |
| 3.0ms | (+.f64 1 (*.f64 x (/.f64 1 (sqrt.f64 (+.f64 (*.f64 p (*.f64 4 p)) (*.f64 x x)))))) |
| 0.0ms | (/.f64 1 (sqrt.f64 (+.f64 (*.f64 p (*.f64 4 p)) (*.f64 x x)))) |
4 calls:
| 175.0ms | (sqrt.f64 (*.f64 1/2 (+.f64 1 (*.f64 x (/.f64 1 (sqrt.f64 (+.f64 (*.f64 p (*.f64 4 p)) (*.f64 x x)))))))) |
| 140.0ms | (*.f64 x (/.f64 1 (sqrt.f64 (+.f64 (*.f64 p (*.f64 4 p)) (*.f64 x x))))) |
| 124.0ms | (+.f64 1 (*.f64 x (/.f64 1 (sqrt.f64 (+.f64 (*.f64 p (*.f64 4 p)) (*.f64 x x)))))) |
| 114.0ms | (sqrt.f64 (+.f64 (*.f64 p (*.f64 4 p)) (*.f64 x x))) |
Compiled 1542 to 1426 computations (7.5% saved)
| 1× | egg-herbie |
Useful iterations: 0 (28.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4966 | 2903 |
| 1 | 4966 | 2903 |
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 142 | 0 | 142 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 142 | 6 | 148 |
Compiled 3362 to 2306 computations (31.4% saved)
Found 8 expressions with local error:
| 0.0b | (sqrt.f64 (*.f64 1/2 (/.f64 (-.f64 1 (/.f64 (*.f64 x x) (+.f64 (*.f64 p (*.f64 4 p)) (*.f64 x x)))) (-.f64 1 (/.f64 x (sqrt.f64 (+.f64 (*.f64 p (*.f64 4 p)) (*.f64 x x)))))))) |
| 0.0b | (/.f64 x (sqrt.f64 (+.f64 (*.f64 p (*.f64 4 p)) (*.f64 x x)))) |
| 0.0b | (+.f64 (*.f64 p (*.f64 4 p)) (*.f64 x x)) |
| 0.0b | (+.f64 (*.f64 p (*.f64 4 p)) (*.f64 x x)) |
| 1.0b | (-.f64 1 (/.f64 x (sqrt.f64 (+.f64 (*.f64 p (*.f64 4 p)) (*.f64 x x))))) |
| 1.9b | (-.f64 1 (/.f64 (*.f64 x x) (+.f64 (*.f64 p (*.f64 4 p)) (*.f64 x x)))) |
| 3.1b | (/.f64 (*.f64 x x) (+.f64 (*.f64 p (*.f64 4 p)) (*.f64 x x))) |
| 14.5b | (sqrt.f64 (+.f64 (*.f64 p (*.f64 4 p)) (*.f64 x x))) |
| 1× | rewrite-expression-head |
| 42× | add-sqr-sqrt_binary64_3169 |
| 33× | cancel-sign-sub-inv_binary64_3113 |
| 31× | *-un-lft-identity_binary64_3147 |
| 30× | times-frac_binary64_3153 |
| 22× | add-cube-cbrt_binary64_3182 |
| 14× | sqrt-prod_binary64_3163 |
| 10× | difference-of-squares_binary64_3116 |
| 9× | add-exp-log_binary64_3185 add-cbrt-cube_binary64_3183 |
| 8× | add-log-exp_binary64_3186 |
| 6× | associate-/r/_binary64_3093 |
| 5× | pow1_binary64_3208 |
| 4× | flip-+_binary64_3121 flip3-+_binary64_3150 sqrt-div_binary64_3164 |
| 3× | associate-/r*_binary64_3091 div-inv_binary64_3144 |
| 2× | flip--_binary64_3122 flip3--_binary64_3151 sub-neg_binary64_3140 distribute-lft-out--_binary64_3099 cbrt-undiv_binary64_3181 div-exp_binary64_3198 diff-log_binary64_3239 |
| 1× | clear-num_binary64_3146 frac-2neg_binary64_3158 rem-sqrt-square_binary64_3160 prod-exp_binary64_3196 sqrt-pow1_binary64_3165 pow1/2_binary64_3227 cbrt-unprod_binary64_3180 associate-/l*_binary64_3092 |
8 calls:
| 15.0ms | (-.f64 1 (/.f64 x (sqrt.f64 (+.f64 (*.f64 p (*.f64 4 p)) (*.f64 x x))))) |
| 11.0ms | (-.f64 1 (/.f64 (*.f64 x x) (+.f64 (*.f64 p (*.f64 4 p)) (*.f64 x x)))) |
| 9.0ms | (/.f64 (*.f64 x x) (+.f64 (*.f64 p (*.f64 4 p)) (*.f64 x x))) |
| 5.0ms | (sqrt.f64 (+.f64 (*.f64 p (*.f64 4 p)) (*.f64 x x))) |
| 0.0ms | (+.f64 (*.f64 p (*.f64 4 p)) (*.f64 x x)) |
4 calls:
| 213.0ms | (-.f64 1 (/.f64 (*.f64 x x) (+.f64 (*.f64 p (*.f64 4 p)) (*.f64 x x)))) |
| 150.0ms | (/.f64 (*.f64 x x) (+.f64 (*.f64 p (*.f64 4 p)) (*.f64 x x))) |
| 130.0ms | (-.f64 1 (/.f64 x (sqrt.f64 (+.f64 (*.f64 p (*.f64 4 p)) (*.f64 x x))))) |
| 126.0ms | (sqrt.f64 (+.f64 (*.f64 p (*.f64 4 p)) (*.f64 x x))) |
Compiled 3079 to 2424 computations (21.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (51.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4943 | 4072 |
| 1 | 4943 | 4072 |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 165 | 2 | 167 |
| Fresh | 0 | 4 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 166 | 7 | 173 |
Compiled 6530 to 3920 computations (40% saved)
Found 8 expressions with local error:
| 0.0b | (/.f64 x (exp.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 p (*.f64 p 4)) (*.f64 x x)))))) |
| 0.0b | (sqrt.f64 (*.f64 1/2 (/.f64 (-.f64 1 (/.f64 (*.f64 x x) (+.f64 (*.f64 p (*.f64 4 p)) (*.f64 x x)))) (-.f64 1 (/.f64 x (exp.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 p (*.f64 p 4)) (*.f64 x x)))))))))) |
| 0.0b | (+.f64 (*.f64 p (*.f64 4 p)) (*.f64 x x)) |
| 0.0b | (+.f64 (*.f64 p (*.f64 p 4)) (*.f64 x x)) |
| 3.1b | (/.f64 (*.f64 x x) (+.f64 (*.f64 p (*.f64 4 p)) (*.f64 x x))) |
| 5.3b | (exp.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 p (*.f64 p 4)) (*.f64 x x))))) |
| 14.5b | (sqrt.f64 (+.f64 (*.f64 p (*.f64 p 4)) (*.f64 x x))) |
| 17.5b | (-.f64 1 (/.f64 x (exp.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 p (*.f64 p 4)) (*.f64 x x))))))) |
| 1× | rewrite-expression-head |
| 48× | add-sqr-sqrt_binary64_3169 |
| 36× | times-frac_binary64_3153 |
| 35× | *-un-lft-identity_binary64_3147 |
| 33× | cancel-sign-sub-inv_binary64_3113 |
| 29× | add-cube-cbrt_binary64_3182 |
| 28× | exp-sum_binary64_3193 log-prod_binary64_3233 |
| 17× | sqrt-prod_binary64_3163 |
| 9× | add-exp-log_binary64_3185 add-cbrt-cube_binary64_3183 |
| 8× | difference-of-squares_binary64_3116 |
| 7× | pow1_binary64_3208 |
| 6× | exp-prod_binary64_3199 add-log-exp_binary64_3186 sqrt-div_binary64_3164 |
| 4× | flip-+_binary64_3121 flip3-+_binary64_3150 exp-diff_binary64_3195 associate-/r/_binary64_3093 log-div_binary64_3234 |
| 3× | associate-/r*_binary64_3091 log-pow_binary64_3236 |
| 2× | cbrt-undiv_binary64_3181 sqrt-pow1_binary64_3165 pow1/2_binary64_3227 div-exp_binary64_3198 div-inv_binary64_3144 |
| 1× | flip--_binary64_3122 clear-num_binary64_3146 flip3--_binary64_3151 frac-2neg_binary64_3158 sub-neg_binary64_3140 rem-sqrt-square_binary64_3160 distribute-lft-out--_binary64_3099 prod-exp_binary64_3196 rem-exp-log_binary64_3187 cbrt-unprod_binary64_3180 diff-log_binary64_3239 associate-/l*_binary64_3092 |
8 calls:
| 23.0ms | (-.f64 1 (/.f64 x (exp.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 p (*.f64 p 4)) (*.f64 x x))))))) |
| 9.0ms | (/.f64 (*.f64 x x) (+.f64 (*.f64 p (*.f64 4 p)) (*.f64 x x))) |
| 8.0ms | (exp.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 p (*.f64 p 4)) (*.f64 x x))))) |
| 6.0ms | (sqrt.f64 (+.f64 (*.f64 p (*.f64 p 4)) (*.f64 x x))) |
| 0.0ms | (+.f64 (*.f64 p (*.f64 p 4)) (*.f64 x x)) |
4 calls:
| 261.0ms | (-.f64 1 (/.f64 x (exp.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 p (*.f64 p 4)) (*.f64 x x))))))) |
| 190.0ms | (exp.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 p (*.f64 p 4)) (*.f64 x x))))) |
| 149.0ms | (/.f64 (*.f64 x x) (+.f64 (*.f64 p (*.f64 4 p)) (*.f64 x x))) |
| 140.0ms | (sqrt.f64 (+.f64 (*.f64 p (*.f64 p 4)) (*.f64 x x))) |
Compiled 3570 to 2798 computations (21.6% saved)
| 1× | egg-herbie |
Useful iterations: 0 (32.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4920 | 3944 |
| 1 | 4920 | 3944 |
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 174 | 0 | 174 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 174 | 7 | 181 |
Compiled 6790 to 4106 computations (39.5% saved)
| 1× | egg-herbie |
Useful iterations: 0 (7.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 494 | 1462 |
| 1 | 494 | 1462 |
Compiled 1894 to 1444 computations (23.8% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 7 | -5.673860508701174e+37 | -2.236344839210726e+35 | -5.541137639902676e+37 |
Compiled 1 to 2 computations (-100% saved)
Compiled 238 to 240 computations (-0.8% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 8 | -1.543163530645013e+41 | -3.944768162762841e+38 | -3.4879622713358363e+40 |
Compiled 1 to 2 computations (-100% saved)
Compiled 204 to 212 computations (-3.9% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 7 | -5.673860508701174e+37 | -2.236344839210726e+35 | -2.23931280946362e+36 |
Compiled 1 to 2 computations (-100% saved)
Compiled 116 to 136 computations (-17.2% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 10 | 6.868537479139037e-25 | 9.875411463514256e-13 | 7.734268629689336e-22 |
| 8 | -4.534306592275295e+23 | -5.7568378030823336e+20 | -5.81188855795806e+20 |
Compiled 1 to 2 computations (-100% saved)
Compiled 52 to 76 computations (-46.2% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 10 | 6.868537479139037e-25 | 9.875411463514256e-13 | 5.7469143280990995e-18 |
| 5 | -9.412380578619078e-38 | -3.4554593858931595e-38 | -4.411606632062893e-38 |
Compiled 1 to 2 computations (-100% saved)
Total 11.7b remaining (80.2%)
Threshold costs 0b (0%)
Compiled 10 to 26 computations (-160% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 7 | -5.673860508701174e+37 | -2.236344839210726e+35 | -2.3222646024626815e+36 |
Compiled 142 to 118 computations (16.9% saved)
| 1× | egg-herbie |
Useful iterations: 0 (1.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 209 |
| 1 | 87 | 209 |
| 1× | intervals |
| 315.0ms | 6071× | body | 128 | valid |
| 206.0ms | 776× | body | 2048 | valid |
| 152.0ms | 8000× | pre | 128 | true |
| 100.0ms | 503× | body | 1024 | valid |
| 90.0ms | 285× | body | 4096 | valid |
| 36.0ms | 246× | body | 512 | valid |
| 12.0ms | 119× | body | 256 | valid |
Compiled 1121 to 866 computations (22.7% saved)
0.39228218798969905
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