Time bar (total: 8.5s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.8% | 0.2% | 0 |
| 0% | 99.8% | 0.2% | 1 |
| 0% | 99.8% | 0.2% | 2 |
| 0% | 99.8% | 0.2% | 3 |
| 0% | 99.8% | 0.2% | 4 |
| 0% | 99.8% | 0.2% | 5 |
| 0% | 99.8% | 0.2% | 6 |
| 0% | 99.8% | 0.2% | 7 |
| 0% | 99.8% | 0.2% | 8 |
| 0% | 99.8% | 0.2% | 9 |
| 0% | 99.8% | 0.2% | 10 |
| 9.4% | 90.4% | 0.2% | 11 |
| 9.4% | 90.4% | 0.2% | 12 |
| 10.1% | 89.6% | 0.2% | 13 |
| 20.8% | 78.9% | 0.2% | 14 |
Compiled 19 to 14 computations (26.3% saved)
(sort x y)
(sort z t)
| 1.1s | 8256× | body | 128 | valid |
| 435.0ms | 3348× | body | 128 | invalid |
Compiled 56 to 41 computations (26.8% saved)
| 1× | egg-herbie |
| 2966× | fma-def_binary64 |
| 757× | fma-neg_binary64 |
| 541× | cancel-sign-sub-inv_binary64 |
| 473× | associate-/l/_binary64 |
| 472× | times-frac_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 19 |
| 1 | 31 | 17 |
| 2 | 103 | 17 |
| 3 | 318 | 17 |
| 4 | 794 | 17 |
| 5 | 1526 | 17 |
| 6 | 2054 | 17 |
| 7 | 2281 | 17 |
| 8 | 2975 | 17 |
| 9 | 3540 | 17 |
| 10 | 3954 | 17 |
| 11 | 4158 | 17 |
| 12 | 4097 | 17 |
| 13 | 4108 | 17 |
| 14 | 4118 | 17 |
| 15 | 4462 | 17 |
| 16 | 4531 | 17 |
| 17 | 4536 | 17 |
| 18 | 4536 | 17 |
| 19 | 6474 | 17 |
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 |
| 6.0b | (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) (*.f64 a 2)) | |
| ▶ | 5.8b | (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (/.f64 1/2 a)) |
Compiled 100 to 69 computations (31% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (fma.f64 -9 (*.f64 z t) (*.f64 x y)) |
| ✓ | 5.5b | (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (/.f64 1/2 a)) |
2 calls:
| 39.0ms | (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (/.f64 1/2 a)) |
| 12.0ms | (fma.f64 -9 (*.f64 z t) (*.f64 x y)) |
| 1× | rewrite-expression-head |
| 15× | add-sqr-sqrt_binary64 |
| 13× | associate-*r*_binary64 |
| 10× | times-frac_binary64 |
| 10× | *-un-lft-identity_binary64 |
| 10× | add-cube-cbrt_binary64 |
2 calls:
| 5.0ms | (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (/.f64 1/2 a)) |
| 0.0ms | (fma.f64 -9 (*.f64 z t) (*.f64 x y)) |
| 1× | egg-herbie |
| 937× | fma-def_binary64 |
| 487× | associate-*l*_binary64 |
| 418× | associate-*r*_binary64 |
| 225× | associate-*r/_binary64 |
| 211× | associate-*l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 2547 |
| 1 | 248 | 2243 |
| 2 | 812 | 2243 |
| 3 | 3206 | 2242 |
| 4 | 4937 | 2242 |
| 5 | 5019 | 2242 |
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 77 | 11 | 88 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 78 | 12 | 90 |
| Status | Error | Program |
| 30.9b | (*.f64 (*.f64 -9 (*.f64 t z)) (/.f64 1/2 a)) | |
| ▶ | 6.0b | (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) (*.f64 a 2)) |
| 32.0b | (*.f64 1/2 (/.f64 (*.f64 y x) a)) | |
| 33.3b | (*.f64 (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (/.f64 1 (sqrt.f64 a))) (/.f64 1/2 (sqrt.f64 a))) | |
| 30.9b | (*.f64 -9/2 (/.f64 (*.f64 t z) a)) | |
| 6.6b | (*.f64 (*.f64 (cbrt.f64 (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (/.f64 1/2 a))) (cbrt.f64 (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (/.f64 1/2 a)))) (cbrt.f64 (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (/.f64 1/2 a)))) | |
| 6.7b | (*.f64 (*.f64 (cbrt.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y))) (cbrt.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)))) (*.f64 (cbrt.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y))) (/.f64 1/2 a))) | |
| 32.1b | (*.f64 (*.f64 y x) (/.f64 1/2 a)) | |
| 33.7b | (*.f64 (cbrt.f64 (pow.f64 (fma.f64 y x (*.f64 (*.f64 t z) -9)) 3)) (/.f64 1/2 a)) | |
| 6.1b | (*.f64 (*.f64 (fma.f64 y x (*.f64 (*.f64 t z) -9)) (sqrt.f64 1/2)) (/.f64 (sqrt.f64 1/2) a)) | |
| 6.7b | (*.f64 (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (/.f64 1/2 a)))) (cbrt.f64 (/.f64 1/2 a))) | |
| 33.4b | (*.f64 (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (/.f64 (sqrt.f64 1/2) (sqrt.f64 a))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 a))) |
Compiled 2212 to 1218 computations (44.9% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) |
| ✓ | 0.2b | (*.f64 (*.f64 z 9) t) |
| ✓ | 5.7b | (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) (*.f64 a 2)) |
3 calls:
| 39.0ms | (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) (*.f64 a 2)) |
| 12.0ms | (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) |
| 4.0ms | (*.f64 (*.f64 z 9) t) |
| 1× | rewrite-expression-head |
| 13× | add-cbrt-cube_binary64 |
| 13× | add-exp-log_binary64 |
| 8× | pow1_binary64 |
| 6× | *-un-lft-identity_binary64 |
| 6× | add-sqr-sqrt_binary64 |
3 calls:
| 5.0ms | (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) (*.f64 a 2)) |
| 4.0ms | (*.f64 (*.f64 z 9) t) |
| 3.0ms | (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) |
| 1× | egg-herbie |
| 470× | fma-def_binary64 |
| 445× | *-commutative_binary64 |
| 325× | div-sub_binary64 |
| 307× | associate-/l*_binary64 |
| 287× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 2790 |
| 1 | 396 | 2561 |
| 2 | 1506 | 2551 |
| 3 | 4128 | 2551 |
| 4 | 5247 | 2551 |
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 110 | 5 | 115 |
| Fresh | 4 | 7 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 115 | 12 | 127 |
| Status | Error | Program |
| 32.0b | (*.f64 1/2 (/.f64 (*.f64 y x) a)) | |
| 33.3b | (*.f64 (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (/.f64 1 (sqrt.f64 a))) (/.f64 1/2 (sqrt.f64 a))) | |
| 6.0b | (/.f64 (-.f64 (*.f64 x y) (*.f64 z (*.f64 9 t))) (*.f64 a 2)) | |
| 29.1b | (/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 z 9) t) (*.f64 (*.f64 z 9) t))) (*.f64 (*.f64 a 2) (fma.f64 t (*.f64 z 9) (*.f64 y x)))) | |
| 18.5b | (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 (*.f64 z 9) (sqrt.f64 t)) (sqrt.f64 t))) (*.f64 a 2)) | |
| 30.9b | (*.f64 (*.f64 -9 (*.f64 t z)) (/.f64 1/2 a)) | |
| 30.9b | (*.f64 -9/2 (/.f64 (*.f64 t z) a)) | |
| ▶ | 5.9b | (/.f64 1 (/.f64 a (/.f64 (fma.f64 t (*.f64 z -9) (*.f64 y x)) 2))) |
| 32.1b | (*.f64 (*.f64 y x) (/.f64 1/2 a)) | |
| 6.1b | (*.f64 (*.f64 (fma.f64 y x (*.f64 (*.f64 t z) -9)) (sqrt.f64 1/2)) (/.f64 (sqrt.f64 1/2) a)) | |
| 6.7b | (*.f64 (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (/.f64 1/2 a)))) (cbrt.f64 (/.f64 1/2 a))) | |
| 22.8b | (/.f64 (expm1.f64 (log1p.f64 (fma.f64 t (*.f64 z -9) (*.f64 y x)))) (*.f64 a 2)) |
Compiled 2743 to 1595 computations (41.9% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (fma.f64 t (*.f64 z -9) (*.f64 y x)) |
| ✓ | 0.4b | (/.f64 1 (/.f64 a (/.f64 (fma.f64 t (*.f64 z -9) (*.f64 y x)) 2))) |
| ✓ | 5.4b | (/.f64 a (/.f64 (fma.f64 t (*.f64 z -9) (*.f64 y x)) 2)) |
3 calls:
| 92.0ms | (/.f64 a (/.f64 (fma.f64 t (*.f64 z -9) (*.f64 y x)) 2)) |
| 40.0ms | (/.f64 1 (/.f64 a (/.f64 (fma.f64 t (*.f64 z -9) (*.f64 y x)) 2))) |
| 12.0ms | (fma.f64 t (*.f64 z -9) (*.f64 y x)) |
| 1× | rewrite-expression-head |
| 471× | times-frac_binary64 |
| 230× | *-un-lft-identity_binary64 |
| 230× | add-sqr-sqrt_binary64 |
| 230× | add-cube-cbrt_binary64 |
| 57× | associate-/r*_binary64 |
3 calls:
| 10.0ms | (/.f64 1 (/.f64 a (/.f64 (fma.f64 t (*.f64 z -9) (*.f64 y x)) 2))) |
| 4.0ms | (/.f64 a (/.f64 (fma.f64 t (*.f64 z -9) (*.f64 y x)) 2)) |
| 0.0ms | (fma.f64 t (*.f64 z -9) (*.f64 y x)) |
| 1× | egg-herbie |
| 419× | fma-neg_binary64 |
| 404× | fma-def_binary64 |
| 296× | associate-/r/_binary64 |
| 234× | times-frac_binary64 |
| 223× | *-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 376 | 14401 |
| 1 | 938 | 13425 |
| 2 | 3317 | 13274 |
| 3 | 4740 | 13262 |
| 4 | 5054 | 13262 |
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 475 | 4 | 479 |
| Fresh | 2 | 9 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 478 | 13 | 491 |
| Status | Error | Program |
| 32.0b | (*.f64 1/2 (/.f64 (*.f64 y x) a)) | |
| 33.3b | (*.f64 (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (/.f64 1 (sqrt.f64 a))) (/.f64 1/2 (sqrt.f64 a))) | |
| ▶ | 6.0b | (/.f64 (-.f64 (*.f64 x y) (*.f64 z (*.f64 9 t))) (*.f64 a 2)) |
| 32.1b | (*.f64 (*.f64 y x) (/.f64 1/2 a)) | |
| 37.3b | (/.f64 1 (fma.f64 2 (/.f64 a (*.f64 y x)) (*.f64 18 (/.f64 (*.f64 a (*.f64 t z)) (*.f64 (*.f64 y x) (*.f64 y x)))))) | |
| 6.3b | (/.f64 1 (*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 2))) (/.f64 a (/.f64 (fma.f64 t (*.f64 z -9) (*.f64 y x)) (sqrt.f64 2))))) | |
| 31.1b | (/.f64 1 (*.f64 -2/9 (/.f64 a (*.f64 t z)))) | |
| 22.8b | (/.f64 (expm1.f64 (log1p.f64 (fma.f64 t (*.f64 z -9) (*.f64 y x)))) (*.f64 a 2)) | |
| 29.1b | (/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 z 9) t) (*.f64 (*.f64 z 9) t))) (*.f64 (*.f64 a 2) (fma.f64 t (*.f64 z 9) (*.f64 y x)))) | |
| 30.9b | (*.f64 (*.f64 -9 (*.f64 t z)) (/.f64 1/2 a)) | |
| 30.9b | (*.f64 -9/2 (/.f64 (*.f64 t z) a)) | |
| 35.8b | (/.f64 1 (fma.f64 (/.f64 (*.f64 a (*.f64 y x)) (*.f64 (*.f64 t z) (*.f64 t z))) -2/81 (*.f64 -2/9 (/.f64 a (*.f64 t z))))) | |
| 6.1b | (*.f64 (*.f64 (fma.f64 y x (*.f64 (*.f64 t z) -9)) (sqrt.f64 1/2)) (/.f64 (sqrt.f64 1/2) a)) |
Compiled 14960 to 8888 computations (40.6% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (-.f64 (*.f64 x y) (*.f64 z (*.f64 9 t))) |
| ✓ | 0.2b | (*.f64 z (*.f64 9 t)) |
| ✓ | 5.7b | (/.f64 (-.f64 (*.f64 x y) (*.f64 z (*.f64 9 t))) (*.f64 a 2)) |
3 calls:
| 158.0ms | (/.f64 (-.f64 (*.f64 x y) (*.f64 z (*.f64 9 t))) (*.f64 a 2)) |
| 13.0ms | (-.f64 (*.f64 x y) (*.f64 z (*.f64 9 t))) |
| 6.0ms | (*.f64 z (*.f64 9 t)) |
| 1× | rewrite-expression-head |
| 13× | add-cbrt-cube_binary64 |
| 13× | add-exp-log_binary64 |
| 8× | pow1_binary64 |
| 6× | *-un-lft-identity_binary64 |
| 6× | add-sqr-sqrt_binary64 |
3 calls:
| 5.0ms | (/.f64 (-.f64 (*.f64 x y) (*.f64 z (*.f64 9 t))) (*.f64 a 2)) |
| 4.0ms | (*.f64 z (*.f64 9 t)) |
| 3.0ms | (-.f64 (*.f64 x y) (*.f64 z (*.f64 9 t))) |
| 1× | egg-herbie |
| 423× | fma-def_binary64 |
| 421× | *-commutative_binary64 |
| 320× | div-sub_binary64 |
| 286× | associate-/l*_binary64 |
| 251× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 146 | 2786 |
| 1 | 388 | 2556 |
| 2 | 1391 | 2549 |
| 3 | 3885 | 2549 |
| 4 | 4952 | 2549 |
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 115 | 0 | 115 |
| Fresh | 0 | 12 | 12 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 115 | 13 | 128 |
| Status | Error | Program |
| 32.0b | (*.f64 1/2 (/.f64 (*.f64 y x) a)) | |
| 33.3b | (*.f64 (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (/.f64 1 (sqrt.f64 a))) (/.f64 1/2 (sqrt.f64 a))) | |
| ✓ | 6.0b | (/.f64 (-.f64 (*.f64 x y) (*.f64 z (*.f64 9 t))) (*.f64 a 2)) |
| 32.1b | (*.f64 (*.f64 y x) (/.f64 1/2 a)) | |
| 37.3b | (/.f64 1 (fma.f64 2 (/.f64 a (*.f64 y x)) (*.f64 18 (/.f64 (*.f64 a (*.f64 t z)) (*.f64 (*.f64 y x) (*.f64 y x)))))) | |
| 6.3b | (/.f64 1 (*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 2))) (/.f64 a (/.f64 (fma.f64 t (*.f64 z -9) (*.f64 y x)) (sqrt.f64 2))))) | |
| 31.1b | (/.f64 1 (*.f64 -2/9 (/.f64 a (*.f64 t z)))) | |
| 22.8b | (/.f64 (expm1.f64 (log1p.f64 (fma.f64 t (*.f64 z -9) (*.f64 y x)))) (*.f64 a 2)) | |
| 29.1b | (/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 z 9) t) (*.f64 (*.f64 z 9) t))) (*.f64 (*.f64 a 2) (fma.f64 t (*.f64 z 9) (*.f64 y x)))) | |
| 30.9b | (*.f64 (*.f64 -9 (*.f64 t z)) (/.f64 1/2 a)) | |
| 30.9b | (*.f64 -9/2 (/.f64 (*.f64 t z) a)) | |
| 35.8b | (/.f64 1 (fma.f64 (/.f64 (*.f64 a (*.f64 y x)) (*.f64 (*.f64 t z) (*.f64 t z))) -2/81 (*.f64 -2/9 (/.f64 a (*.f64 t z))))) | |
| 6.1b | (*.f64 (*.f64 (fma.f64 y x (*.f64 (*.f64 t z) -9)) (sqrt.f64 1/2)) (/.f64 (sqrt.f64 1/2) a)) |
Compiled 2547 to 1443 computations (43.3% saved)
Total 0.4b remaining (5.3%)
Threshold costs 0.4b (5.3%)
Compiled 54808 to 39516 computations (27.9% saved)
| 1× | egg-herbie |
| 9× | *-commutative_binary64 |
| 6× | +-commutative_binary64 |
| 6× | sub-neg_binary64 |
| 5× | neg-sub0_binary64 |
| 5× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 22 |
| 1 | 25 | 22 |
| 2 | 33 | 22 |
| 3 | 39 | 22 |
| 4 | 50 | 22 |
| 5 | 57 | 22 |
| 6 | 62 | 22 |
| 7 | 64 | 22 |
| 8 | 63 | 22 |
(sort z t)
(sort x y)
Compiled 387 to 271 computations (30% saved)
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