Time bar (total: 8.3s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 28.1% | 71.9% | 0 |
| 0% | 28.1% | 71.9% | 1 |
| 0% | 28.1% | 71.9% | 2 |
| 0% | 28.1% | 71.9% | 3 |
| 3.5% | 24.6% | 71.9% | 4 |
| 5.3% | 22.8% | 71.9% | 5 |
| 10.5% | 17.5% | 71.9% | 6 |
| 14% | 14% | 71.9% | 7 |
| 19.1% | 9% | 71.9% | 8 |
| 24.6% | 3.5% | 71.9% | 9 |
| 25.1% | 3% | 71.9% | 10 |
| 25.8% | 2.3% | 71.9% | 11 |
| 26.3% | 1.8% | 71.9% | 12 |
| 26.6% | 1.5% | 71.9% | 13 |
| 26.9% | 1.2% | 71.9% | 14 |
| 1× | intervals |
| 11.0ms | 202× | body | 80 | valid |
| 5.0ms | 256× | pre | 80 | true |
| 5.0ms | 18× | body | 1280 | valid |
| 4.0ms | 18× | body | 640 | valid |
| 2.0ms | 10× | body | 320 | valid |
| 1.0ms | 8× | body | 160 | valid |
| 1× | egg-herbie |
Useful iterations: 0 (49.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5446 | 29 |
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 |
Merged error: 22.5b
Found 3 expressions with local error:
| 0.0b | (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i)) 2.0)) |
| 1.8b | (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i)) 2.0)) 1.0) |
| 20.1b | (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) |
| 1× | rewrite-expression-head |
| 54× | times-frac_binary64 |
| 47× | *-un-lft-identity_binary64 |
| 25× | add-cube-cbrt_binary64 add-sqr-sqrt_binary64 |
| 17× | add-exp-log_binary64 add-cbrt-cube_binary64 |
| 14× | associate-/r/_binary64 |
| 11× | flip3-+_binary64 distribute-lft-out_binary64 flip-+_binary64 |
| 10× | associate-/l*_binary64 |
| 9× | associate-/l/_binary64 |
| 7× | associate-/r*_binary64 cbrt-undiv_binary64 div-inv_binary64 div-exp_binary64 |
| 5× | add-log-exp_binary64 |
| 4× | frac-times_binary64 |
| 3× | pow1_binary64 flip3--_binary64 flip--_binary64 |
| 2× | cbrt-unprod_binary64 associate-*r/_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 associate-*l/_binary64 |
| 1× | +-commutative_binary64 sum-log_binary64 |
3 calls:
| 34.0ms | (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i)) 2.0)) 1.0) |
| 24.0ms | (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i)) 2.0)) |
| 16.0ms | (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) |
3 calls:
| 106.0ms | (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i)) 2.0)) 1.0) |
| 85.0ms | (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i)) 2.0)) |
| 22.0ms | (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) |
| 1× | egg-herbie |
Useful iterations: 0 (52.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4968 | 3551 |
| 1 | 4968 | 3551 |
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 111 | 9 | 120 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 112 | 9 | 121 |
Merged error: 6.7b
Found 4 expressions with local error:
| 0.0b | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) |
| 0.1b | (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) (+.f64 2.0 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i)))) |
| 2.2b | (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) (+.f64 2.0 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))))) |
| 3.0b | (+.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) (+.f64 2.0 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))))) 1.0) |
| 1× | rewrite-expression-head |
| 321× | times-frac_binary64 |
| 290× | *-un-lft-identity_binary64 |
| 211× | add-sqr-sqrt_binary64 |
| 140× | add-cube-cbrt_binary64 |
| 90× | associate-*r*_binary64 |
| 44× | distribute-lft-out_binary64 |
| 31× | difference-of-squares_binary64 distribute-lft-out--_binary64 |
| 26× | associate-/l*_binary64 |
| 24× | associate-/r/_binary64 |
| 20× | add-exp-log_binary64 add-cbrt-cube_binary64 |
| 15× | flip3-+_binary64 flip-+_binary64 |
| 12× | div-inv_binary64 |
| 7× | associate-/r*_binary64 cbrt-undiv_binary64 div-exp_binary64 |
| 6× | add-log-exp_binary64 pow1_binary64 |
| 4× | associate-*l*_binary64 |
| 3× | associate-/l/_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 div-sub_binary64 prod-exp_binary64 |
| 2× | clear-num_binary64 frac-2neg_binary64 frac-times_binary64 associate-*l/_binary64 |
| 1× | pow-prod-down_binary64 flip3--_binary64 associate-*r/_binary64 +-commutative_binary64 flip--_binary64 sum-log_binary64 *-commutative_binary64 |
4 calls:
| 44.0ms | (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) (+.f64 2.0 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))))) |
| 29.0ms | (+.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) (+.f64 2.0 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))))) 1.0) |
| 21.0ms | (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) (+.f64 2.0 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i)))) |
| 11.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) |
4 calls:
| 107.0ms | (+.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) (+.f64 2.0 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))))) 1.0) |
| 83.0ms | (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) (+.f64 2.0 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))))) |
| 50.0ms | (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) (+.f64 2.0 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i)))) |
| 18.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) |
| 1× | egg-herbie |
Useful iterations: 0 (34.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4981 | 8907 |
| 1 | 4981 | 8907 |
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 302 | 5 | 307 |
| Fresh | 3 | 5 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 306 | 10 | 316 |
Merged error: 6.7b
Found 4 expressions with local error:
| 0.1b | (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) (+.f64 2.0 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i)))) |
| 0.1b | (cbrt.f64 (pow.f64 (+.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) (+.f64 2.0 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))))) 1.0) 3)) |
| 2.2b | (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) (+.f64 2.0 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))))) |
| 3.0b | (+.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) (+.f64 2.0 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))))) 1.0) |
| 1× | rewrite-expression-head |
| 306× | times-frac_binary64 |
| 275× | *-un-lft-identity_binary64 |
| 196× | add-sqr-sqrt_binary64 |
| 133× | add-cube-cbrt_binary64 |
| 90× | associate-*r*_binary64 |
| 44× | distribute-lft-out_binary64 |
| 27× | difference-of-squares_binary64 distribute-lft-out--_binary64 |
| 22× | associate-/r/_binary64 |
| 21× | associate-/l*_binary64 |
| 18× | add-exp-log_binary64 add-cbrt-cube_binary64 |
| 15× | flip3-+_binary64 flip-+_binary64 |
| 12× | cbrt-prod_binary64 |
| 11× | div-inv_binary64 |
| 6× | add-log-exp_binary64 pow1_binary64 cbrt-undiv_binary64 div-exp_binary64 |
| 4× | associate-/r*_binary64 associate-*l*_binary64 |
| 3× | cbrt-unprod_binary64 unswap-sqr_binary64 unpow-prod-down_binary64 prod-exp_binary64 cube-prod_binary64 |
| 2× | cbrt-div_binary64 cube-div_binary64 div-sub_binary64 frac-times_binary64 associate-*l/_binary64 |
| 1× | pow-prod-down_binary64 associate-/l/_binary64 rem-cbrt-cube_binary64 associate-*r/_binary64 pow1/3_binary64 sqr-pow_binary64 clear-num_binary64 frac-2neg_binary64 +-commutative_binary64 unpow3_binary64 sum-log_binary64 *-commutative_binary64 cube-mult_binary64 |
4 calls:
| 43.0ms | (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) (+.f64 2.0 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))))) |
| 30.0ms | (cbrt.f64 (pow.f64 (+.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) (+.f64 2.0 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))))) 1.0) 3)) |
| 29.0ms | (+.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) (+.f64 2.0 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))))) 1.0) |
| 21.0ms | (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) (+.f64 2.0 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i)))) |
4 calls:
| 108.0ms | (+.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) (+.f64 2.0 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))))) 1.0) |
| 105.0ms | (cbrt.f64 (pow.f64 (+.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) (+.f64 2.0 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))))) 1.0) 3)) |
| 84.0ms | (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) (+.f64 2.0 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))))) |
| 50.0ms | (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) (+.f64 2.0 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i)))) |
| 1× | egg-herbie |
Useful iterations: 0 (33.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5075 | 9219 |
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 281 | 9 | 290 |
| Fresh | 6 | 3 | 9 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 287 | 13 | 300 |
Merged error: 6.7b
Found 4 expressions with local error:
| 0.2b | (*.f64 (/.f64 (+.f64 alpha beta) (sqrt.f64 (+.f64 2.0 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) (sqrt.f64 (+.f64 2.0 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i)))))) |
| 0.3b | (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) (sqrt.f64 (+.f64 2.0 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))))) |
| 0.4b | (/.f64 (+.f64 alpha beta) (sqrt.f64 (+.f64 2.0 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))))) |
| 6.9b | (+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (sqrt.f64 (+.f64 2.0 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) (sqrt.f64 (+.f64 2.0 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i)))))) 1.0) |
| 1× | rewrite-expression-head |
| 603× | times-frac_binary64 |
| 484× | *-un-lft-identity_binary64 |
| 408× | add-sqr-sqrt_binary64 |
| 260× | add-cube-cbrt_binary64 |
| 219× | sqrt-prod_binary64 |
| 153× | associate-*r*_binary64 |
| 67× | distribute-lft-out_binary64 |
| 45× | difference-of-squares_binary64 distribute-lft-out--_binary64 |
| 38× | associate-/r/_binary64 |
| 34× | associate-*l*_binary64 |
| 32× | add-exp-log_binary64 add-cbrt-cube_binary64 |
| 25× | associate-/l*_binary64 |
| 21× | flip3-+_binary64 flip-+_binary64 |
| 19× | div-inv_binary64 |
| 15× | unswap-sqr_binary64 |
| 14× | associate-/r*_binary64 |
| 13× | cbrt-undiv_binary64 div-exp_binary64 |
| 8× | sqrt-div_binary64 |
| 6× | add-log-exp_binary64 pow1_binary64 cbrt-unprod_binary64 prod-exp_binary64 |
| 3× | associate-/l/_binary64 |
| 2× | div-sub_binary64 clear-num_binary64 frac-2neg_binary64 |
| 1× | pow-prod-down_binary64 associate-*r/_binary64 +-commutative_binary64 frac-times_binary64 associate-*l/_binary64 sum-log_binary64 *-commutative_binary64 |
4 calls:
| 113.0ms | (*.f64 (/.f64 (+.f64 alpha beta) (sqrt.f64 (+.f64 2.0 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) (sqrt.f64 (+.f64 2.0 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i)))))) |
| 42.0ms | (+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (sqrt.f64 (+.f64 2.0 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) (sqrt.f64 (+.f64 2.0 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i)))))) 1.0) |
| 23.0ms | (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) (sqrt.f64 (+.f64 2.0 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))))) |
| 14.0ms | (/.f64 (+.f64 alpha beta) (sqrt.f64 (+.f64 2.0 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))))) |
4 calls:
| 110.0ms | (+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (sqrt.f64 (+.f64 2.0 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) (sqrt.f64 (+.f64 2.0 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i)))))) 1.0) |
| 86.0ms | (*.f64 (/.f64 (+.f64 alpha beta) (sqrt.f64 (+.f64 2.0 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) (sqrt.f64 (+.f64 2.0 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i)))))) |
| 53.0ms | (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) (sqrt.f64 (+.f64 2.0 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))))) |
| 49.0ms | (/.f64 (+.f64 alpha beta) (sqrt.f64 (+.f64 2.0 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))))) |
| 1× | egg-herbie |
Useful iterations: 0 (38.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5006 | 18553 |
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 493 | 4 | 497 |
| Fresh | 3 | 8 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 497 | 13 | 510 |
Merged error: 6.7b
Total 5.4b remaining (48.2%)
Threshold costs 0b (0%)
| Iters | Range | Point | |
|---|---|---|---|
| 7 | 9.891955263074923e+113 | 2.932369273983056e+115 | 3.962350371619421e+114 |
| 1× | egg-herbie |
Useful iterations: 0 (1.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 78 |
| 1 | 67 | 78 |
| 1× | intervals |
| 353.0ms | 6387× | body | 80 | valid |
| 167.0ms | 8000× | pre | 80 | true |
| 134.0ms | 487× | body | 1280 | valid |
| 131.0ms | 578× | body | 640 | valid |
| 58.0ms | 345× | body | 320 | valid |
| 22.0ms | 203× | body | 160 | valid |
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