Time bar (total: 2.9s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 50% | 50% | 0.1% | 2 |
| 50% | 50% | 0.1% | 3 |
| 74.9% | 25% | 0.1% | 4 |
| 74.9% | 25% | 0.1% | 5 |
| 87.4% | 12.5% | 0.1% | 6 |
| 87.4% | 12.5% | 0.1% | 7 |
| 93.7% | 6.2% | 0.1% | 8 |
| 93.7% | 6.2% | 0.1% | 9 |
| 96.8% | 3.1% | 0.1% | 10 |
| 96.8% | 3.1% | 0.1% | 11 |
| 98.3% | 1.6% | 0.1% | 12 |
| 98.3% | 1.6% | 0.1% | 13 |
| 99.1% | 0.8% | 0.1% | 14 |
Compiled 11 to 8 computations (27.3% saved)
| 1× | intervals |
| 7.0ms | 243× | body | 128 | valid |
| 1.0ms | 9× | body | 2048 | valid |
| 0.0ms | 3× | body | 512 | valid |
| 0.0ms | 1× | body | 1024 | valid |
Compiled 23 to 17 computations (26.1% saved)
| 1× | egg-herbie |
| 32× | cancel-sign-sub-inv_binary64 |
| 32× | sub-neg_binary64 |
| 17× | distribute-rgt-neg-in_binary64 |
| 14× | associate--r+_binary64 |
| 14× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 12 |
| 1 | 13 | 12 |
| 2 | 20 | 12 |
| 3 | 28 | 12 |
| 4 | 42 | 12 |
| 5 | 73 | 12 |
| 6 | 88 | 12 |
| 7 | 103 | 12 |
| 8 | 129 | 12 |
| 9 | 138 | 12 |
| 10 | 166 | 12 |
| 11 | 180 | 12 |
| 12 | 195 | 12 |
| 13 | 199 | 12 |
| 14 | 200 | 12 |
| 15 | 160 | 12 |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 1 | 1 |
| Status | Error | Program |
| ▶ | 0.1b | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
Compiled 20 to 14 computations (30% saved)
Found 1 expressions with local error:
| 0.0b | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
| 1× | rewrite-expression-head |
| 3× | *-un-lft-identity_binary64 |
| 3× | add-log-exp_binary64 |
| 1× | +-commutative_binary64 |
| 1× | distribute-lft-out_binary64 |
| 1× | flip-+_binary64 |
1 calls:
| 9.0ms | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
Compiled 201 to 97 computations (51.7% saved)
1 calls:
| 14.0ms | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
Compiled 151 to 103 computations (31.8% saved)
| 1× | egg-herbie |
| 563× | times-frac_binary64 |
| 403× | div-sub_binary64 |
| 382× | distribute-rgt-in_binary64 |
| 336× | cancel-sign-sub-inv_binary64 |
| 320× | neg-mul-1_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 334 |
| 1 | 93 | 309 |
| 2 | 191 | 302 |
| 3 | 411 | 302 |
| 4 | 1006 | 302 |
| 5 | 2771 | 302 |
| 6 | 4297 | 302 |
| 7 | 4923 | 302 |
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 11 | 4 | 15 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 11 | 5 | 16 |
| Status | Error | Program |
| ✓ | 0.1b | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
| 32.0b | (/.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 x y) 4) (-.f64 y x))) (-.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))) | |
| 43.1b | (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) 3)) (+.f64 (*.f64 x x) (*.f64 (fabs.f64 (-.f64 y x)) (-.f64 (/.f64 (fabs.f64 (-.f64 y x)) 4) (/.f64 x 2))))) | |
| 15.2b | (*.f64 (sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))) (sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))) | |
| ▶ | 1.3b | (*.f64 (*.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))) (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))) (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))) |
Compiled 383 to 213 computations (44.4% saved)
Found 4 expressions with local error:
| 0.5b | (*.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))) (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))) |
| 0.5b | (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))) |
| 0.5b | (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))) |
| 0.5b | (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))) |
| 1× | rewrite-expression-head |
| 25× | cbrt-prod_binary64 |
| 23× | add-sqr-sqrt_binary64 |
| 18× | cbrt-div_binary64 |
| 15× | *-un-lft-identity_binary64 |
| 15× | add-cube-cbrt_binary64 |
4 calls:
| 7.0ms | (*.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))) (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))) |
| 3.0ms | (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))) |
| 2.0ms | (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))) |
| 2.0ms | (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))) |
Compiled 3569 to 1814 computations (49.2% saved)
4 calls:
| 50.0ms | (*.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))) (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))) |
| 45.0ms | (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))) |
| 44.0ms | (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))) |
| 43.0ms | (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))) |
Compiled 4228 to 2671 computations (36.8% saved)
| 1× | egg-herbie |
| 762× | unswap-sqr_binary64 |
| 369× | distribute-rgt-in_binary64 |
| 355× | *-commutative_binary64 |
| 346× | distribute-lft-in_binary64 |
| 234× | cancel-sign-sub-inv_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 167 | 4236 |
| 1 | 407 | 3942 |
| 2 | 1137 | 3844 |
| 3 | 2174 | 3818 |
| 4 | 5202 | 3818 |
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 104 | 3 | 107 |
| Fresh | 2 | 1 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 107 | 5 | 112 |
| Status | Error | Program |
| ✓ | 0.1b | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
| 15.5b | (*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))) (sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))) (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))) | |
| 15.2b | (*.f64 (sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))) (sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))) | |
| ▶ | 1.8b | (*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))) (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))) 4)) (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))) |
| 32.5b | (*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (fabs.f64 (-.f64 y x)) 2) 1/4))) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (fabs.f64 (-.f64 y x)) 2) 1/4)))) (*.f64 (cbrt.f64 (-.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))) (cbrt.f64 (-.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))))) (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))) |
Compiled 3257 to 1737 computations (46.7% saved)
Found 4 expressions with local error:
| 0.5b | (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))) |
| 0.6b | (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))) (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))))) |
| 0.6b | (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))) |
| 0.9b | (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))) 4) |
| 1× | rewrite-expression-head |
| 26× | cbrt-div_binary64 |
| 22× | cbrt-prod_binary64 |
| 11× | *-un-lft-identity_binary64 |
| 11× | add-sqr-sqrt_binary64 |
| 11× | add-cube-cbrt_binary64 |
4 calls:
| 7.0ms | (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))) (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))))) |
| 4.0ms | (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))) 4) |
| 2.0ms | (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))) |
| 2.0ms | (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))) |
Compiled 3967 to 2174 computations (45.2% saved)
4 calls:
| 58.0ms | (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))) (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))))) |
| 58.0ms | (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))) 4) |
| 51.0ms | (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))) |
| 41.0ms | (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))) |
Compiled 4922 to 3112 computations (36.8% saved)
| 1× | egg-herbie |
| 458× | *-commutative_binary64 |
| 345× | cancel-sign-sub-inv_binary64 |
| 285× | unswap-sqr_binary64 |
| 285× | sqr-pow_binary64 |
| 274× | distribute-rgt-neg-in_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 270 | 3653 |
| 1 | 622 | 3478 |
| 2 | 1607 | 3457 |
| 3 | 3302 | 3437 |
| 4 | 4596 | 3375 |
| 5 | 4900 | 3375 |
| 6 | 4825 | 3375 |
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 98 | 0 | 98 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 98 | 5 | 103 |
| Status | Error | Program |
| ✓ | 0.1b | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
| 15.5b | (*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))) (sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))) (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))) | |
| ▶ | 15.2b | (*.f64 (sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))) (sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))) |
| ✓ | 1.8b | (*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))) (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))) 4)) (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))) |
| 32.5b | (*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (fabs.f64 (-.f64 y x)) 2) 1/4))) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (fabs.f64 (-.f64 y x)) 2) 1/4)))) (*.f64 (cbrt.f64 (-.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))) (cbrt.f64 (-.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))))) (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))) |
Compiled 3745 to 2131 computations (43.1% saved)
Found 4 expressions with local error:
| 0.0b | (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))) |
| 0.0b | (sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))) |
| 0.0b | (sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))) |
| 0.4b | (*.f64 (sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))) (sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))) |
| 1× | rewrite-expression-head |
| 32× | add-sqr-sqrt_binary64 |
| 24× | sqrt-prod_binary64 |
| 21× | pow1_binary64 |
| 16× | sqrt-div_binary64 |
| 14× | *-un-lft-identity_binary64 |
4 calls:
| 11.0ms | (*.f64 (sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))) (sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))) |
| 4.0ms | (sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))) |
| 4.0ms | (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))) |
| 4.0ms | (sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))) |
Compiled 2667 to 1362 computations (48.9% saved)
4 calls:
| 26.0ms | (sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))) |
| 26.0ms | (sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))) |
| 18.0ms | (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))) |
| 15.0ms | (*.f64 (sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))) (sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))) |
Compiled 1527 to 976 computations (36.1% saved)
| 1× | egg-herbie |
| 631× | distribute-rgt-in_binary64 |
| 421× | associate-*l*_binary64 |
| 347× | associate-*r*_binary64 |
| 305× | times-frac_binary64 |
| 189× | unswap-sqr_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 105 | 2845 |
| 1 | 220 | 2586 |
| 2 | 615 | 2514 |
| 3 | 2071 | 2435 |
| 4 | 4861 | 2390 |
| 5 | 4982 | 2390 |
| 6 | 4998 | 2390 |
| 7 | 4941 | 2390 |
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 92 | 2 | 94 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 93 | 6 | 99 |
| Status | Error | Program |
| 0.1b | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) | |
| 15.4b | (*.f64 (*.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))) (sqrt.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))))) (sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))) | |
| 15.2b | (*.f64 (sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))) (sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))) | |
| 1.8b | (*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))) (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))) 4)) (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))) | |
| 32.5b | (*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (fabs.f64 (-.f64 y x)) 2) 1/4))) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (fabs.f64 (-.f64 y x)) 2) 1/4)))) (*.f64 (cbrt.f64 (-.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))) (cbrt.f64 (-.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))))) (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))) | |
| 15.9b | (*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))) 4) (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))) |
Compiled 1479 to 786 computations (46.9% saved)
Total 0.0b remaining (53.8%)
Threshold costs 0.0b (53.8%)
Compiled 11198 to 6757 computations (39.7% saved)
| 1× | egg-herbie |
| 5× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | *-commutative_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 12 |
| 1 | 13 | 12 |
| 2 | 20 | 12 |
| 3 | 25 | 12 |
| 4 | 28 | 12 |
| 5 | 29 | 12 |
| 6 | 29 | 12 |
Compiled 10 to 7 computations (30% saved)
| 1× | intervals |
| 249.0ms | 7715× | body | 128 | valid |
| 12.0ms | 93× | body | 1024 | valid |
| 11.0ms | 81× | body | 2048 | valid |
| 6.0ms | 69× | body | 512 | valid |
| 2.0ms | 42× | body | 256 | valid |
Compiled 214 to 132 computations (38.3% saved)
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