Time bar (total: 6.7s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 74.9% | 25.1% | 0 |
| 0% | 74.9% | 25.1% | 1 |
| 37.5% | 37.5% | 25.1% | 2 |
| 37.5% | 18.7% | 43.8% | 3 |
| 46.8% | 9.4% | 43.8% | 4 |
| 51.5% | 4.7% | 43.8% | 5 |
| 51.5% | 2.3% | 46.1% | 6 |
| 52.7% | 1.2% | 46.1% | 7 |
| 53.3% | 0.6% | 46.1% | 8 |
| 53.3% | 0.3% | 46.4% | 9 |
| 53.4% | 0.1% | 46.4% | 10 |
| 53.5% | 0.1% | 46.4% | 11 |
| 53.5% | 0% | 46.5% | 12 |
| 53.5% | 0% | 46.5% | 13 |
| 53.5% | 0% | 46.5% | 14 |
Compiled 71 to 33 computations (53.5% saved)
| 1× | intervals |
| 22.0ms | 256× | body | 128 | valid |
| 3.0ms | 256× | pre | 128 | true |
Compiled 140 to 65 computations (53.6% saved)
| 1× | egg-herbie |
| 1509× | associate-/l*_binary64 |
| 1334× | associate-/r*_binary64 |
| 744× | distribute-lft-out_binary64 |
| 549× | unswap-sqr_binary64 |
| 452× | associate-*r/_binary64 |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 77 |
| 1 | 73 | 62 |
| 2 | 218 | 45 |
| 3 | 773 | 41 |
| 4 | 1394 | 41 |
| 5 | 3040 | 41 |
| 6 | 3379 | 41 |
| 7 | 3543 | 39 |
| 8 | 2136 | 39 |
| 9 | 2622 | 39 |
| 10 | 2670 | 39 |
| 11 | 4941 | 39 |
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 |
| Status | Error | Program |
| ▶ | 0.1b | (fabs.f64 (*.f64 (/.f64 1 (sqrt.f64 PI.f64)) (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 21) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))) |
| 0.5b | (fabs.f64 (/.f64 (+.f64 (+.f64 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))) (*.f64 1/5 (pow.f64 x 5))) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 PI.f64))) |
Compiled 214 to 128 computations (40.2% saved)
Found 4 expressions with local error:
| 0.1b | (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) |
| 0.1b | (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))) |
| 0.2b | (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))) |
| 1.0b | (sqrt.f64 PI.f64) |
| 1× | rewrite-expression-head |
| 119× | add-exp-log_binary64 |
| 80× | pow1_binary64 |
| 79× | add-cbrt-cube_binary64 |
| 78× | prod-exp_binary64 |
| 48× | cbrt-unprod_binary64 |
4 calls:
| 30.0ms | (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))) |
| 13.0ms | (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))) |
| 13.0ms | (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) |
| 1.0ms | (sqrt.f64 PI.f64) |
Compiled 9104 to 3105 computations (65.9% saved)
4 calls:
| 16.0ms | (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))) |
| 15.0ms | (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))) |
| 13.0ms | (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) |
| 0.0ms | (sqrt.f64 PI.f64) |
Compiled 1251 to 652 computations (47.9% saved)
| 1× | egg-herbie |
| 589× | associate-/l*_binary64 |
| 360× | associate-*r*_binary64 |
| 329× | unswap-sqr_binary64 |
| 328× | associate-*l*_binary64 |
| 236× | associate-/r/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 209 | 2395 |
| 1 | 390 | 1751 |
| 2 | 1529 | 1466 |
| 3 | 3224 | 1437 |
| 4 | 4866 | 1403 |
| 5 | 4899 | 1403 |
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 138 | 0 | 138 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 138 | 2 | 140 |
| Status | Error | Program |
| ✓ | 0.1b | (fabs.f64 (*.f64 (/.f64 1 (sqrt.f64 PI.f64)) (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 21) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))) |
| ▶ | 0.5b | (fabs.f64 (/.f64 (+.f64 (+.f64 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))) (*.f64 1/5 (pow.f64 x 5))) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 PI.f64))) |
Compiled 4211 to 1773 computations (57.9% saved)
Found 4 expressions with local error:
| 0.1b | (*.f64 1/5 (pow.f64 x 5)) |
| 0.2b | (*.f64 2/3 (pow.f64 x 3)) |
| 0.3b | (/.f64 (+.f64 (+.f64 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))) (*.f64 1/5 (pow.f64 x 5))) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 PI.f64)) |
| 1.0b | (sqrt.f64 PI.f64) |
| 1× | rewrite-expression-head |
| 40× | add-sqr-sqrt_binary64 |
| 27× | *-un-lft-identity_binary64 |
| 27× | add-cube-cbrt_binary64 |
| 19× | associate-*r*_binary64 |
| 18× | times-frac_binary64 |
4 calls:
| 13.0ms | (/.f64 (+.f64 (+.f64 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))) (*.f64 1/5 (pow.f64 x 5))) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 PI.f64)) |
| 6.0ms | (*.f64 2/3 (pow.f64 x 3)) |
| 5.0ms | (*.f64 1/5 (pow.f64 x 5)) |
| 1.0ms | (sqrt.f64 PI.f64) |
Compiled 3611 to 2757 computations (23.6% saved)
4 calls:
| 32.0ms | (/.f64 (+.f64 (+.f64 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))) (*.f64 1/5 (pow.f64 x 5))) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 PI.f64)) |
| 10.0ms | (*.f64 1/5 (pow.f64 x 5)) |
| 10.0ms | (*.f64 2/3 (pow.f64 x 3)) |
| 0.0ms | (sqrt.f64 PI.f64) |
Compiled 836 to 704 computations (15.8% saved)
| 1× | egg-herbie |
| 508× | unswap-sqr_binary64 |
| 507× | distribute-rgt-in_binary64 |
| 490× | distribute-lft-in_binary64 |
| 398× | *-commutative_binary64 |
| 202× | log-prod_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 197 | 3778 |
| 1 | 419 | 3465 |
| 2 | 1225 | 3363 |
| 3 | 3581 | 3363 |
| 4 | 4619 | 3355 |
| 5 | 4914 | 3355 |
| 6 | 4833 | 3355 |
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 86 | 4 | 90 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 87 | 5 | 92 |
| Status | Error | Program |
| ▶ | 0.1b | (fabs.f64 (*.f64 (sqrt.f64 (/.f64 1 PI.f64)) (+.f64 (+.f64 (*.f64 1/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))) (*.f64 1/21 (pow.f64 x 7))))) |
| 56.5b | (fabs.f64 (*.f64 1/21 (*.f64 (sqrt.f64 (/.f64 1 PI.f64)) (pow.f64 x 7)))) | |
| ✓ | 0.5b | (fabs.f64 (/.f64 (+.f64 (+.f64 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))) (*.f64 1/5 (pow.f64 x 5))) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 PI.f64))) |
| 0.4b | (fabs.f64 (/.f64 (/.f64 (+.f64 (+.f64 (*.f64 1/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (sqrt.f64 PI.f64))) (sqrt.f64 (sqrt.f64 PI.f64)))) | |
| 1.4b | (fabs.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 (*.f64 1/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))) (*.f64 1/21 (pow.f64 x 7)))) (cbrt.f64 (+.f64 (+.f64 (*.f64 1/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))) (*.f64 1/21 (pow.f64 x 7))))) (fabs.f64 (cbrt.f64 PI.f64))) (/.f64 (cbrt.f64 (+.f64 (+.f64 (*.f64 1/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))) (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (cbrt.f64 PI.f64))))) |
Compiled 2506 to 1927 computations (23.1% saved)
Found 4 expressions with local error:
| 0.1b | (*.f64 (sqrt.f64 (/.f64 1 PI.f64)) (+.f64 (+.f64 (*.f64 1/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))) (*.f64 1/21 (pow.f64 x 7)))) |
| 0.1b | (*.f64 1/21 (pow.f64 x 7)) |
| 0.1b | (*.f64 1/5 (pow.f64 x 5)) |
| 0.2b | (*.f64 2/3 (pow.f64 x 3)) |
| 1× | rewrite-expression-head |
| 49× | add-sqr-sqrt_binary64 |
| 29× | associate-*r*_binary64 |
| 25× | associate-*l*_binary64 |
| 24× | *-un-lft-identity_binary64 |
| 23× | add-cube-cbrt_binary64 |
4 calls:
| 17.0ms | (*.f64 (sqrt.f64 (/.f64 1 PI.f64)) (+.f64 (+.f64 (*.f64 1/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))) (*.f64 1/21 (pow.f64 x 7)))) |
| 6.0ms | (*.f64 2/3 (pow.f64 x 3)) |
| 5.0ms | (*.f64 1/5 (pow.f64 x 5)) |
| 5.0ms | (*.f64 1/21 (pow.f64 x 7)) |
Compiled 4088 to 3335 computations (18.4% saved)
4 calls:
| 32.0ms | (*.f64 (sqrt.f64 (/.f64 1 PI.f64)) (+.f64 (+.f64 (*.f64 1/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))) (*.f64 1/21 (pow.f64 x 7)))) |
| 13.0ms | (*.f64 1/21 (pow.f64 x 7)) |
| 11.0ms | (*.f64 1/5 (pow.f64 x 5)) |
| 10.0ms | (*.f64 2/3 (pow.f64 x 3)) |
Compiled 1030 to 874 computations (15.1% saved)
| 1× | egg-herbie |
| 457× | unswap-sqr_binary64 |
| 342× | log-prod_binary64 |
| 333× | exp-prod_binary64 |
| 246× | associate-+l+_binary64 |
| 240× | associate-*l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 229 | 3860 |
| 1 | 545 | 3299 |
| 2 | 1807 | 3221 |
| 3 | 3356 | 3221 |
| 4 | 4547 | 3211 |
| 5 | 4949 | 3211 |
| 6 | 5028 | 3211 |
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 96 | 1 | 97 |
| Fresh | 2 | 1 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 98 | 4 | 102 |
| Status | Error | Program |
| ✓ | 0.1b | (fabs.f64 (*.f64 (sqrt.f64 (/.f64 1 PI.f64)) (+.f64 (+.f64 (*.f64 1/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))) (*.f64 1/21 (pow.f64 x 7))))) |
| ✓ | 0.5b | (fabs.f64 (/.f64 (+.f64 (+.f64 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))) (*.f64 1/5 (pow.f64 x 5))) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 PI.f64))) |
| 1.0b | (fabs.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64)))) (*.f64 (+.f64 (*.f64 1/21 (pow.f64 x 7)) (+.f64 (*.f64 1/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 x 2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 PI.f64)))))) | |
| ▶ | 0.4b | (fabs.f64 (/.f64 (/.f64 (+.f64 (+.f64 (*.f64 1/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (sqrt.f64 PI.f64))) (sqrt.f64 (sqrt.f64 PI.f64)))) |
Compiled 2579 to 2088 computations (19% saved)
Found 4 expressions with local error:
| 0.2b | (*.f64 2/3 (pow.f64 x 3)) |
| 0.3b | (/.f64 (/.f64 (+.f64 (+.f64 (*.f64 1/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (sqrt.f64 PI.f64))) (sqrt.f64 (sqrt.f64 PI.f64))) |
| 1.0b | (sqrt.f64 PI.f64) |
| 1.0b | (sqrt.f64 PI.f64) |
| 1× | rewrite-expression-head |
| 564× | sqrt-prod_binary64 |
| 549× | times-frac_binary64 |
| 305× | add-sqr-sqrt_binary64 |
| 296× | *-un-lft-identity_binary64 |
| 296× | add-cube-cbrt_binary64 |
4 calls:
| 25.0ms | (/.f64 (/.f64 (+.f64 (+.f64 (*.f64 1/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (sqrt.f64 PI.f64))) (sqrt.f64 (sqrt.f64 PI.f64))) |
| 7.0ms | (*.f64 2/3 (pow.f64 x 3)) |
| 1.0ms | (sqrt.f64 PI.f64) |
| 1.0ms | (sqrt.f64 PI.f64) |
Compiled 15678 to 10393 computations (33.7% saved)
4 calls:
| 34.0ms | (/.f64 (/.f64 (+.f64 (+.f64 (*.f64 1/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (sqrt.f64 PI.f64))) (sqrt.f64 (sqrt.f64 PI.f64))) |
| 10.0ms | (*.f64 2/3 (pow.f64 x 3)) |
| 0.0ms | (sqrt.f64 PI.f64) |
| 0.0ms | (sqrt.f64 PI.f64) |
Compiled 715 to 586 computations (18% saved)
| 1× | egg-herbie |
| 486× | unswap-sqr_binary64 |
| 425× | times-frac_binary64 |
| 378× | associate-/r*_binary64 |
| 377× | associate-/l/_binary64 |
| 374× | *-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 362 | 31313 |
| 1 | 776 | 29928 |
| 2 | 1635 | 29188 |
| 3 | 4086 | 29053 |
| 4 | 4949 | 29053 |
| 5 | 4970 | 29053 |
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 349 | 0 | 349 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 349 | 4 | 353 |
| Status | Error | Program |
| 0.1b | (fabs.f64 (*.f64 (sqrt.f64 (/.f64 1 PI.f64)) (+.f64 (+.f64 (*.f64 1/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))) (*.f64 1/21 (pow.f64 x 7))))) | |
| 0.5b | (fabs.f64 (/.f64 (+.f64 (+.f64 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))) (*.f64 1/5 (pow.f64 x 5))) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 PI.f64))) | |
| 1.0b | (fabs.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64)))) (*.f64 (+.f64 (*.f64 1/21 (pow.f64 x 7)) (+.f64 (*.f64 1/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 x 2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 PI.f64)))))) | |
| 0.4b | (fabs.f64 (/.f64 (/.f64 (+.f64 (+.f64 (*.f64 1/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (sqrt.f64 PI.f64))) (sqrt.f64 (sqrt.f64 PI.f64)))) |
Compiled 6084 to 4229 computations (30.5% saved)
Total 0.1b remaining (80.6%)
Threshold costs 0.1b (80.6%)
Compiled 33176 to 22921 computations (30.9% saved)
| 1× | egg-herbie |
| 8× | *-commutative_binary64 |
| 3× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 69 |
| 1 | 41 | 69 |
| 2 | 40 | 69 |
Compiled 43 to 36 computations (16.3% saved)
| 1× | intervals |
| 739.0ms | 8000× | body | 128 | valid |
| 88.0ms | 8000× | pre | 128 | true |
Compiled 238 to 170 computations (28.6% saved)
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