Time bar (total: 4.9s)
| 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 |
| 0% | 99.9% | 0.1% | 4 |
| 25% | 74.9% | 0.1% | 5 |
| 25% | 68.7% | 6.3% | 6 |
| 25% | 56.2% | 18.8% | 7 |
| 25% | 48.4% | 26.6% | 8 |
| 25% | 35.1% | 39.9% | 9 |
| 28.1% | 18.3% | 53.6% | 10 |
| 31.6% | 12.3% | 56.1% | 11 |
| 33.4% | 5.9% | 60.8% | 12 |
| 35.2% | 3.8% | 61% | 13 |
| 36.1% | 2.9% | 61% | 14 |
Compiled 34 to 22 computations (35.3% saved)
| 1.2s | 8256× | body | 128 | valid |
| 1.0ms | 7× | body | 128 | invalid |
Compiled 101 to 65 computations (35.6% saved)
| 1× | egg-herbie |
| 725× | fma-def_binary64 |
| 669× | unsub-neg_binary64 |
| 596× | cancel-sign-sub-inv_binary64 |
| 340× | +-commutative_binary64 |
| 277× | fma-neg_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 42 |
| 1 | 63 | 40 |
| 2 | 170 | 36 |
| 3 | 542 | 36 |
| 4 | 1867 | 32 |
| 5 | 3281 | 32 |
| 6 | 4881 | 32 |
| 7 | 4958 | 32 |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
| ▶ | 0.0b | (+.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (hypot.f64 a b) 4)) -1) |
| 0.2b | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) 1) |
Compiled 172 to 108 computations (37.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (pow.f64 (hypot.f64 a b) 4) |
| ✓ | 0.0b | (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (hypot.f64 a b) 4)) |
| ✓ | 0.1b | (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) |
| ✓ | 1.1b | (*.f64 (*.f64 b b) (fma.f64 a -3 1)) |
4 calls:
| 39.0ms | (pow.f64 (hypot.f64 a b) 4) |
| 35.0ms | (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (hypot.f64 a b) 4)) |
| 13.0ms | (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) |
| 9.0ms | (*.f64 (*.f64 b b) (fma.f64 a -3 1)) |
| 1× | rewrite-expression-head |
| 10× | add-exp-log_binary64 |
| 10× | pow1_binary64 |
| 9× | add-cbrt-cube_binary64 |
| 8× | add-sqr-sqrt_binary64 |
| 7× | *-un-lft-identity_binary64 |
4 calls:
| 7.0ms | (*.f64 (*.f64 b b) (fma.f64 a -3 1)) |
| 1.0ms | (pow.f64 (hypot.f64 a b) 4) |
| 0.0ms | (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (hypot.f64 a b) 4)) |
| 0.0ms | (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) |
| 1× | egg-herbie |
| 821× | fma-def_binary64 |
| 417× | fma-neg_binary64 |
| 408× | associate-+l+_binary64 |
| 315× | cancel-sign-sub-inv_binary64 |
| 250× | exp-prod_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 3218 |
| 1 | 364 | 2814 |
| 2 | 1065 | 2628 |
| 3 | 3367 | 2622 |
| 4 | 4754 | 2618 |
| 5 | 4990 | 2618 |
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 136 | 4 | 140 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 138 | 4 | 142 |
| Status | Error | Program |
| ▶ | 0.0b | (+.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (+.f64 (pow.f64 a 4) (+.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4)))) -1) |
| 0.2b | (+.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (pow.f64 (hypot.f64 a b) 2) (sqrt.f64 4))) -1) | |
| 0.5b | (+.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a b) 4)) (cbrt.f64 (pow.f64 (hypot.f64 a b) 4))) (cbrt.f64 (pow.f64 (hypot.f64 a b) 4)))) -1) | |
| 14.6b | (+.f64 (cbrt.f64 (pow.f64 (fma.f64 (fma.f64 a (fma.f64 a a a) (*.f64 (fma.f64 a -3 1) (*.f64 b b))) 4 (pow.f64 (hypot.f64 a b) 4)) 3)) -1) |
Compiled 4199 to 2330 computations (44.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (+.f64 (pow.f64 a 4) (+.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4)))) |
| 0.1b | (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) | |
| 1.1b | (*.f64 (*.f64 b b) (fma.f64 a -3 1)) | |
| ✓ | 2.1b | (*.f64 (pow.f64 a 2) (pow.f64 b 2)) |
2 calls:
| 26.0ms | (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (+.f64 (pow.f64 a 4) (+.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4)))) |
| 11.0ms | (*.f64 (pow.f64 a 2) (pow.f64 b 2)) |
| 1× | rewrite-expression-head |
| 22× | add-sqr-sqrt_binary64 |
| 16× | unswap-sqr_binary64 |
| 14× | unpow-prod-down_binary64 |
| 14× | add-exp-log_binary64 |
| 10× | sqr-pow_binary64 |
2 calls:
| 7.0ms | (*.f64 (pow.f64 a 2) (pow.f64 b 2)) |
| 0.0ms | (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (+.f64 (pow.f64 a 4) (+.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4)))) |
| 1× | egg-herbie |
| 746× | distribute-rgt-in_binary64 |
| 701× | fma-def_binary64 |
| 420× | associate-+l+_binary64 |
| 232× | associate-+r+_binary64 |
| 218× | *-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 133 | 1938 |
| 1 | 297 | 1757 |
| 2 | 929 | 1569 |
| 3 | 2990 | 1514 |
| 4 | 5413 | 1514 |
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 177 | 0 | 177 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 177 | 4 | 181 |
| Status | Error | Program |
| ✓ | 0.0b | (+.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (+.f64 (pow.f64 a 4) (+.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4)))) -1) |
| ▶ | 0.2b | (+.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (pow.f64 (hypot.f64 a b) 2) (sqrt.f64 4))) -1) |
| 0.5b | (+.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a b) 4)) (cbrt.f64 (pow.f64 (hypot.f64 a b) 4))) (cbrt.f64 (pow.f64 (hypot.f64 a b) 4)))) -1) | |
| 14.6b | (+.f64 (cbrt.f64 (pow.f64 (fma.f64 (fma.f64 a (fma.f64 a a a) (*.f64 (fma.f64 a -3 1) (*.f64 b b))) 4 (pow.f64 (hypot.f64 a b) 4)) 3)) -1) |
Compiled 7153 to 4495 computations (37.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (pow.f64 (hypot.f64 a b) 2) (sqrt.f64 4))) |
| 0.1b | (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) | |
| ✓ | 0.3b | (pow.f64 (pow.f64 (hypot.f64 a b) 2) (sqrt.f64 4)) |
| 1.1b | (*.f64 (*.f64 b b) (fma.f64 a -3 1)) |
2 calls:
| 36.0ms | (pow.f64 (pow.f64 (hypot.f64 a b) 2) (sqrt.f64 4)) |
| 32.0ms | (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (pow.f64 (hypot.f64 a b) 2) (sqrt.f64 4))) |
| 1× | rewrite-expression-head |
| 11× | unpow-prod-down_binary64 |
| 6× | pow-unpow_binary64 |
| 6× | *-un-lft-identity_binary64 |
| 6× | add-sqr-sqrt_binary64 |
| 6× | add-cube-cbrt_binary64 |
2 calls:
| 3.0ms | (pow.f64 (pow.f64 (hypot.f64 a b) 2) (sqrt.f64 4)) |
| 0.0ms | (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (pow.f64 (hypot.f64 a b) 2) (sqrt.f64 4))) |
| 1× | egg-herbie |
| 637× | fma-neg_binary64 |
| 598× | fma-def_binary64 |
| 490× | cancel-sign-sub-inv_binary64 |
| 402× | associate-+l+_binary64 |
| 273× | distribute-lft-out_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 112 | 2078 |
| 1 | 273 | 1827 |
| 2 | 726 | 1634 |
| 3 | 2823 | 1611 |
| 4 | 4642 | 1585 |
| 5 | 4906 | 1585 |
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 153 | 0 | 153 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 153 | 4 | 157 |
| Status | Error | Program |
| ✓ | 0.0b | (+.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (+.f64 (pow.f64 a 4) (+.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4)))) -1) |
| ✓ | 0.2b | (+.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (pow.f64 (hypot.f64 a b) 2) (sqrt.f64 4))) -1) |
| ▶ | 0.5b | (+.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a b) 4)) (cbrt.f64 (pow.f64 (hypot.f64 a b) 4))) (cbrt.f64 (pow.f64 (hypot.f64 a b) 4)))) -1) |
| 14.6b | (+.f64 (cbrt.f64 (pow.f64 (fma.f64 (fma.f64 a (fma.f64 a a a) (*.f64 (fma.f64 a -3 1) (*.f64 b b))) 4 (pow.f64 (hypot.f64 a b) 4)) 3)) -1) |
Compiled 4903 to 2862 computations (41.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (*.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a b) 4)) (cbrt.f64 (pow.f64 (hypot.f64 a b) 4))) (cbrt.f64 (pow.f64 (hypot.f64 a b) 4))) |
| ✓ | 0.4b | (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a b) 4)) (cbrt.f64 (pow.f64 (hypot.f64 a b) 4))) |
| 1.1b | (*.f64 (*.f64 b b) (fma.f64 a -3 1)) | |
| ✓ | 17.9b | (cbrt.f64 (pow.f64 (hypot.f64 a b) 4)) |
3 calls:
| 53.0ms | (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a b) 4)) (cbrt.f64 (pow.f64 (hypot.f64 a b) 4))) |
| 47.0ms | (cbrt.f64 (pow.f64 (hypot.f64 a b) 4)) |
| 35.0ms | (*.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a b) 4)) (cbrt.f64 (pow.f64 (hypot.f64 a b) 4))) (cbrt.f64 (pow.f64 (hypot.f64 a b) 4))) |
| 1× | rewrite-expression-head |
| 69× | cbrt-prod_binary64 |
| 47× | add-sqr-sqrt_binary64 |
| 29× | pow1_binary64 |
| 27× | unpow-prod-down_binary64 |
| 20× | associate-*r*_binary64 |
3 calls:
| 11.0ms | (*.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a b) 4)) (cbrt.f64 (pow.f64 (hypot.f64 a b) 4))) (cbrt.f64 (pow.f64 (hypot.f64 a b) 4))) |
| 7.0ms | (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a b) 4)) (cbrt.f64 (pow.f64 (hypot.f64 a b) 4))) |
| 1.0ms | (cbrt.f64 (pow.f64 (hypot.f64 a b) 4)) |
| 1× | egg-herbie |
| 475× | fma-neg_binary64 |
| 388× | fma-def_binary64 |
| 356× | cancel-sign-sub-inv_binary64 |
| 346× | *-commutative_binary64 |
| 305× | sqr-pow_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 202 | 4349 |
| 1 | 452 | 4264 |
| 2 | 1286 | 3883 |
| 3 | 2509 | 3825 |
| 4 | 3731 | 3345 |
| 5 | 4806 | 3345 |
| 6 | 4987 | 3345 |
| 7 | 4906 | 3345 |
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 311 | 0 | 311 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 311 | 4 | 315 |
| Status | Error | Program |
| ✓ | 0.0b | (+.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (+.f64 (pow.f64 a 4) (+.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4)))) -1) |
| ✓ | 0.2b | (+.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (pow.f64 (hypot.f64 a b) 2) (sqrt.f64 4))) -1) |
| ✓ | 0.5b | (+.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a b) 4)) (cbrt.f64 (pow.f64 (hypot.f64 a b) 4))) (cbrt.f64 (pow.f64 (hypot.f64 a b) 4)))) -1) |
| 14.6b | (+.f64 (cbrt.f64 (pow.f64 (fma.f64 (fma.f64 a (fma.f64 a a a) (*.f64 (fma.f64 a -3 1) (*.f64 b b))) 4 (pow.f64 (hypot.f64 a b) 4)) 3)) -1) |
Compiled 14340 to 8167 computations (43% saved)
Total 0.0b remaining (37.4%)
Threshold costs 0.0b (37.4%)
Compiled 24800 to 16743 computations (32.5% saved)
| 1× | egg-herbie |
| 3× | +-commutative_binary64 |
| 3× | *-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 50 |
| 1 | 31 | 50 |
| 2 | 30 | 50 |
Compiled 207 to 141 computations (31.9% saved)
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