Time bar (total: 5.6s)
| 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 |
| 24.0ms | 256× | body | 128 | valid |
| 3.0ms | 257× | pre | 128 | true |
| 0.0ms | 1× | body | 128 | invalid |
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 (*.f64 (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 |
| 106× | pow1_binary64 |
| 43× | add-exp-log_binary64 add-cbrt-cube_binary64 |
| 42× | pow-prod-up_binary64 pow-plus_binary64 |
| 24× | prod-exp_binary64 cbrt-unprod_binary64 |
| 19× | add-sqr-sqrt_binary64 |
4 calls:
| 14.0ms | (*.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)) |
| 13.0ms | (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) |
| 1.0ms | (sqrt.f64 PI.f64) |
Compiled 7105 to 2462 computations (65.3% saved)
4 calls:
| 14.0ms | (*.f64 (*.f64 (*.f64 (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))) |
| 12.0ms | (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) |
| 0.0ms | (sqrt.f64 PI.f64) |
Compiled 1286 to 675 computations (47.5% saved)
| 1× | egg-herbie |
| 646× | associate-/l*_binary64 |
| 427× | *-commutative_binary64 |
| 349× | associate-/l/_binary64 |
| 331× | associate-/r*_binary64 |
| 227× | associate-*r*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 137 | 1497 |
| 1 | 264 | 1100 |
| 2 | 1029 | 1004 |
| 3 | 1867 | 967 |
| 4 | 3089 | 947 |
| 5 | 4599 | 947 |
| 6 | 4821 | 947 |
| 7 | 4918 | 947 |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 126 | 1 | 127 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 127 | 2 | 129 |
| Status | Error | Program |
| 0.8b | (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 (cbrt.f64 (pow.f64 x 12)) (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 3999 to 1685 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× | add-cube-cbrt_binary64 *-un-lft-identity_binary64 |
| 19× | associate-*r*_binary64 |
| 18× | times-frac_binary64 |
| 16× | add-exp-log_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)) |
| 7.0ms | (*.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:
| 36.0ms | (/.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)) |
| 11.0ms | (*.f64 1/5 (pow.f64 x 5)) |
| 11.0ms | (*.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 |
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 88 | 2 | 90 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 89 | 3 | 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))))) |
| 36.9b | (fabs.f64 (cbrt.f64 (pow.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 PI.f64)) 3))) | |
| ✓ | 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 2322 to 1779 computations (23.4% saved)
Found 4 expressions with local error:
| 0.1b | (*.f64 1/21 (pow.f64 x 7)) |
| 0.1b | (*.f64 1/5 (pow.f64 x 5)) |
| 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)))) |
| 0.2b | (*.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:
| 21.0ms | (*.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)))) |
| 7.0ms | (*.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:
| 36.0ms | (*.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)))) |
| 14.0ms | (*.f64 1/21 (pow.f64 x 7)) |
| 12.0ms | (*.f64 1/5 (pow.f64 x 5)) |
| 12.0ms | (*.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 |
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 99 | 0 | 99 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 99 | 3 | 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))))) |
| ▶ | 36.9b | (fabs.f64 (cbrt.f64 (pow.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 PI.f64)) 3))) |
| ✓ | 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 2510 to 2039 computations (18.8% saved)
Found 4 expressions with local error:
| 0.3b | (/.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 PI.f64)) |
| 0.3b | (pow.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 PI.f64)) 3) |
| 1.0b | (sqrt.f64 PI.f64) |
| 36.9b | (cbrt.f64 (pow.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 PI.f64)) 3)) |
| 1× | rewrite-expression-head |
| 90× | times-frac_binary64 |
| 75× | add-sqr-sqrt_binary64 |
| 74× | add-cube-cbrt_binary64 *-un-lft-identity_binary64 |
| 51× | sqrt-prod_binary64 |
| 50× | cbrt-prod_binary64 |
4 calls:
| 16.0ms | (pow.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 PI.f64)) 3) |
| 15.0ms | (cbrt.f64 (pow.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 PI.f64)) 3)) |
| 15.0ms | (/.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 PI.f64)) |
| 1.0ms | (sqrt.f64 PI.f64) |
Compiled 6025 to 4681 computations (22.3% saved)
4 calls:
| 52.0ms | (pow.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 PI.f64)) 3) |
| 44.0ms | (cbrt.f64 (pow.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 PI.f64)) 3)) |
| 35.0ms | (/.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 PI.f64)) |
| 0.0ms | (sqrt.f64 PI.f64) |
Compiled 1910 to 1643 computations (14% saved)
| 1× | egg-herbie |
| 913× | times-frac_binary64 |
| 644× | log-prod_binary64 |
| 352× | unswap-sqr_binary64 |
| 148× | sqr-pow_binary64 |
| 147× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 264 | 12946 |
| 1 | 703 | 11716 |
| 2 | 2296 | 10971 |
| 3 | 4661 | 10971 |
| 4 | 5623 | 10971 |
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 166 | 0 | 166 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 166 | 3 | 169 |
| 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))))) | |
| 36.9b | (fabs.f64 (cbrt.f64 (pow.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 PI.f64)) 3))) | |
| 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 3059 to 2418 computations (21% saved)
Total 0.1b remaining (68.9%)
Threshold costs 0.1b (68.9%)
Compiled 30126 to 17664 computations (41.4% saved)
| 1× | egg-herbie |
| 5× | *-commutative_binary64 |
| 3× | +-commutative_binary64 |
| 2× | fabs-mul_binary64 |
| 1× | 1-exp_binary64 fabs-div_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 42 |
| 1 | 38 | 42 |
| 2 | 42 | 42 |
| 3 | 40 | 42 |
Compiled 28 to 24 computations (14.3% saved)
| 1× | intervals |
| 790.0ms | 8000× | body | 128 | valid |
| 98.0ms | 8001× | pre | 128 | true |
| 0.0ms | 1× | body | 128 | invalid |
Compiled 183 to 129 computations (29.5% saved)
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