Time bar (total: 4.4s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 12.5% | 87.4% | 0.1% | 4 |
| 18.7% | 81.1% | 0.1% | 5 |
| 18.7% | 81.1% | 0.1% | 6 |
| 21.8% | 78% | 0.1% | 7 |
| 27.3% | 61.6% | 11.1% | 8 |
| 28.5% | 60.5% | 11.1% | 9 |
| 32.6% | 53.4% | 14% | 10 |
| 40.2% | 38.1% | 21.7% | 11 |
| 41.8% | 35.8% | 22.4% | 12 |
| 44.5% | 29.2% | 26.3% | 13 |
| 47.1% | 21.3% | 31.6% | 14 |
Compiled 12 to 8 computations (33.3% saved)
| 1× | intervals |
| 14.0ms | 272× | body | 128 | invalid |
| 11.0ms | 256× | body | 128 | valid |
Compiled 26 to 18 computations (30.8% saved)
| 1× | egg-herbie |
| 1052× | fma-def_binary64 |
| 423× | fabs-mul_binary64 |
| 333× | distribute-rgt-in_binary64 |
| 319× | div-sub_binary64 |
| 307× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 12 |
| 1 | 19 | 12 |
| 2 | 45 | 12 |
| 3 | 105 | 12 |
| 4 | 219 | 12 |
| 5 | 360 | 12 |
| 6 | 617 | 12 |
| 7 | 1698 | 12 |
| 8 | 2037 | 12 |
| 9 | 2629 | 12 |
| 10 | 3437 | 12 |
| 11 | 3909 | 12 |
| 12 | 4557 | 12 |
| 13 | 5039 | 12 |
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 |
| ▶ | 7.5b | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 33 to 21 computations (36.4% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| ✓ | 7.0b | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
2 calls:
| 61.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 47.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 1× | rewrite-expression-head |
| 17× | add-sqr-sqrt_binary64 |
| 16× | add-cbrt-cube_binary64 |
| 16× | add-exp-log_binary64 |
| 13× | associate-*r*_binary64 |
| 13× | times-frac_binary64 |
2 calls:
| 5.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 5.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 1× | egg-herbie |
| 860× | times-frac_binary64 |
| 530× | fma-def_binary64 |
| 444× | associate-*l*_binary64 |
| 362× | associate-*r*_binary64 |
| 348× | associate-/r/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 172 | 2288 |
| 1 | 432 | 2019 |
| 2 | 1488 | 2017 |
| 3 | 4433 | 2011 |
| 4 | 4988 | 2011 |
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 |
| Status | Error | Program |
| 7.6b | (/.f64 (*.f64 (*.f64 (cosh.f64 x) y) (/.f64 1 x)) z) | |
| 7.5b | (/.f64 (/.f64 (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))) (*.f64 x 2)) z) | |
| 7.7b | (/.f64 (cosh.f64 x) (/.f64 z (/.f64 y x))) | |
| 7.6b | (*.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 1 z)) | |
| 8.5b | (/.f64 (*.f64 (/.f64 (cosh.f64 x) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 y (cbrt.f64 x))) z) | |
| ▶ | 6.1b | (*.f64 (cosh.f64 x) (/.f64 y (*.f64 z x))) |
| 7.1b | (*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x))) (cbrt.f64 (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)))) (cbrt.f64 (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)))) | |
| 36.8b | (cbrt.f64 (pow.f64 (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) 3)) | |
| 8.4b | (/.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z)) |
Compiled 2041 to 685 computations (66.4% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (*.f64 (cosh.f64 x) (/.f64 y (*.f64 z x))) |
| ✓ | 5.8b | (/.f64 y (*.f64 z x)) |
2 calls:
| 62.0ms | (*.f64 (cosh.f64 x) (/.f64 y (*.f64 z x))) |
| 18.0ms | (/.f64 y (*.f64 z x)) |
| 1× | rewrite-expression-head |
| 16× | add-cbrt-cube_binary64 |
| 16× | add-exp-log_binary64 |
| 9× | add-sqr-sqrt_binary64 |
| 7× | associate-*r*_binary64 |
| 7× | *-un-lft-identity_binary64 |
2 calls:
| 5.0ms | (*.f64 (cosh.f64 x) (/.f64 y (*.f64 z x))) |
| 3.0ms | (/.f64 y (*.f64 z x)) |
| 1× | egg-herbie |
| 807× | times-frac_binary64 |
| 523× | associate-*r/_binary64 |
| 521× | associate-*l/_binary64 |
| 483× | associate-/l*_binary64 |
| 396× | associate-/r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 130 | 1642 |
| 1 | 321 | 1429 |
| 2 | 1080 | 1427 |
| 3 | 4803 | 1427 |
| 4 | 5068 | 1427 |
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 85 | 4 | 89 |
| Fresh | 2 | 6 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 87 | 11 | 98 |
| Status | Error | Program |
| 7.6b | (/.f64 (*.f64 (*.f64 (cosh.f64 x) y) (/.f64 1 x)) z) | |
| 7.5b | (/.f64 (/.f64 (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))) (*.f64 x 2)) z) | |
| 7.7b | (/.f64 (cosh.f64 x) (/.f64 z (/.f64 y x))) | |
| ▶ | 4.8b | (*.f64 (cosh.f64 x) (*.f64 (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) z) (/.f64 (cbrt.f64 y) x))) |
| 8.5b | (/.f64 (*.f64 (/.f64 (cosh.f64 x) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 y (cbrt.f64 x))) z) | |
| ✓ | 6.1b | (*.f64 (cosh.f64 x) (/.f64 y (*.f64 z x))) |
| 32.0b | (*.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 y (*.f64 z x)))) (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 y (*.f64 z x))))) | |
| 7.2b | (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x)) | |
| 33.7b | (*.f64 (cosh.f64 x) (/.f64 (sqrt.f64 y) (/.f64 (*.f64 z x) (sqrt.f64 y)))) | |
| 36.8b | (cbrt.f64 (pow.f64 (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) 3)) | |
| 8.4b | (/.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z)) |
Compiled 1621 to 518 computations (68% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (/.f64 (cbrt.f64 y) x) |
| ✓ | 0.5b | (*.f64 (cbrt.f64 y) (cbrt.f64 y)) |
| ✓ | 0.6b | (cbrt.f64 y) |
| ✓ | 3.7b | (*.f64 (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) z) (/.f64 (cbrt.f64 y) x)) |
4 calls:
| 252.0ms | (/.f64 (cbrt.f64 y) x) |
| 39.0ms | (*.f64 (cbrt.f64 y) (cbrt.f64 y)) |
| 36.0ms | (*.f64 (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) z) (/.f64 (cbrt.f64 y) x)) |
| 35.0ms | (cbrt.f64 y) |
| 1× | rewrite-expression-head |
| 67× | add-sqr-sqrt_binary64 |
| 46× | times-frac_binary64 |
| 43× | *-un-lft-identity_binary64 |
| 43× | add-cube-cbrt_binary64 |
| 42× | cbrt-prod_binary64 |
4 calls:
| 10.0ms | (*.f64 (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) z) (/.f64 (cbrt.f64 y) x)) |
| 4.0ms | (*.f64 (cbrt.f64 y) (cbrt.f64 y)) |
| 3.0ms | (/.f64 (cbrt.f64 y) x) |
| 1.0ms | (cbrt.f64 y) |
| 1× | egg-herbie |
| 535× | unswap-sqr_binary64 |
| 494× | associate-/r/_binary64 |
| 490× | *-commutative_binary64 |
| 490× | associate-/r*_binary64 |
| 257× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 188 | 2848 |
| 1 | 434 | 2458 |
| 2 | 1774 | 2394 |
| 3 | 3341 | 2332 |
| 4 | 4849 | 2332 |
| 5 | 4954 | 2332 |
12 alts after pruning (10 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 266 | 2 | 268 |
| Fresh | 1 | 8 | 9 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 267 | 12 | 279 |
| Status | Error | Program |
| 7.6b | (/.f64 (*.f64 (*.f64 (cosh.f64 x) y) (/.f64 1 x)) z) | |
| 7.5b | (/.f64 (/.f64 (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))) (*.f64 x 2)) z) | |
| 7.7b | (/.f64 (cosh.f64 x) (/.f64 z (/.f64 y x))) | |
| ✓ | 4.8b | (*.f64 (cosh.f64 x) (*.f64 (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) z) (/.f64 (cbrt.f64 y) x))) |
| ▶ | 2.5b | (*.f64 (cosh.f64 x) (*.f64 (/.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 z)) (/.f64 (cbrt.f64 y) x)))) |
| 8.5b | (/.f64 (*.f64 (/.f64 (cosh.f64 x) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 y (cbrt.f64 x))) z) | |
| ✓ | 6.1b | (*.f64 (cosh.f64 x) (/.f64 y (*.f64 z x))) |
| 7.2b | (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x)) | |
| 33.7b | (*.f64 (cosh.f64 x) (/.f64 (sqrt.f64 y) (/.f64 (*.f64 z x) (sqrt.f64 y)))) | |
| 36.8b | (cbrt.f64 (pow.f64 (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) 3)) | |
| 8.4b | (/.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z)) | |
| 7.0b | (*.f64 (cosh.f64 x) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 8) z) (/.f64 (cbrt.f64 (cbrt.f64 y)) x))) |
Compiled 5926 to 1625 computations (72.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.5b | (*.f64 (cbrt.f64 z) (cbrt.f64 z)) |
| ✓ | 0.5b | (cbrt.f64 z) |
| 0.6b | (cbrt.f64 y) | |
| ✓ | 1.3b | (*.f64 (/.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 z)) (/.f64 (cbrt.f64 y) x))) |
3 calls:
| 43.0ms | (*.f64 (/.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 z)) (/.f64 (cbrt.f64 y) x))) |
| 37.0ms | (*.f64 (cbrt.f64 z) (cbrt.f64 z)) |
| 33.0ms | (cbrt.f64 z) |
| 1× | rewrite-expression-head |
| 74× | add-exp-log_binary64 |
| 34× | add-cbrt-cube_binary64 |
| 33× | cbrt-unprod_binary64 |
| 33× | prod-exp_binary64 |
| 23× | add-sqr-sqrt_binary64 |
3 calls:
| 15.0ms | (*.f64 (/.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 z)) (/.f64 (cbrt.f64 y) x))) |
| 4.0ms | (*.f64 (cbrt.f64 z) (cbrt.f64 z)) |
| 1.0ms | (cbrt.f64 z) |
| 1× | egg-herbie |
| 496× | *-commutative_binary64 |
| 466× | associate-/l/_binary64 |
| 424× | unswap-sqr_binary64 |
| 338× | fma-def_binary64 |
| 236× | log-div_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 170 | 3726 |
| 1 | 376 | 1519 |
| 2 | 1486 | 1445 |
| 3 | 3053 | 1430 |
| 4 | 4782 | 1430 |
| 5 | 4939 | 1430 |
12 alts after pruning (9 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 250 | 0 | 250 |
| Fresh | 0 | 9 | 9 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 250 | 12 | 262 |
| Status | Error | Program |
| 7.6b | (/.f64 (*.f64 (*.f64 (cosh.f64 x) y) (/.f64 1 x)) z) | |
| 7.5b | (/.f64 (/.f64 (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))) (*.f64 x 2)) z) | |
| 7.7b | (/.f64 (cosh.f64 x) (/.f64 z (/.f64 y x))) | |
| ✓ | 4.8b | (*.f64 (cosh.f64 x) (*.f64 (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) z) (/.f64 (cbrt.f64 y) x))) |
| ✓ | 2.5b | (*.f64 (cosh.f64 x) (*.f64 (/.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 z)) (/.f64 (cbrt.f64 y) x)))) |
| 8.5b | (/.f64 (*.f64 (/.f64 (cosh.f64 x) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 y (cbrt.f64 x))) z) | |
| ✓ | 6.1b | (*.f64 (cosh.f64 x) (/.f64 y (*.f64 z x))) |
| 7.2b | (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x)) | |
| 33.7b | (*.f64 (cosh.f64 x) (/.f64 (sqrt.f64 y) (/.f64 (*.f64 z x) (sqrt.f64 y)))) | |
| 36.8b | (cbrt.f64 (pow.f64 (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) 3)) | |
| 8.4b | (/.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z)) | |
| 7.0b | (*.f64 (cosh.f64 x) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 8) z) (/.f64 (cbrt.f64 (cbrt.f64 y)) x))) |
Compiled 6867 to 1428 computations (79.2% saved)
Total 0.3b remaining (86.4%)
Threshold costs 0.3b (86.4%)
Compiled 9454 to 5562 computations (41.2% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 8 | 2.3864924794691435e-34 | 2.4391876820162876e-30 | 7.323266843150271e-31 |
| 2 | -83839845289675.39 | -3266385575.3673887 | -40841048426.870995 |
Compiled 4 to 3 computations (25% saved)
| 1× | egg-herbie |
| 6× | *-commutative_binary64 |
| 1× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 68 |
| 1 | 37 | 68 |
| 2 | 36 | 68 |
Compiled 47 to 26 computations (44.7% saved)
| 1× | intervals |
| 361.0ms | 8000× | body | 128 | valid |
| 320.0ms | 7303× | body | 128 | invalid |
Compiled 252 to 151 computations (40.1% saved)
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