Time bar (total: 6.2s)
| 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 |
| 417.0ms | 3249× | 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 |
| 8.2b | (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) (*.f64 a 2)) | |
| ▶ | 8.0b | (*.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 |
| ✓ | 0.3b | (fma.f64 -9 (*.f64 z t) (*.f64 x y)) |
| ✓ | 7.5b | (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (/.f64 1/2 a)) |
2 calls:
| 41.0ms | (*.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 |
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 76 | 12 | 88 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 77 | 13 | 90 |
| Status | Error | Program |
| 8.8b | (*.f64 (/.f64 (fma.f64 y x (*.f64 (*.f64 t z) -9)) (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 1/2 (cbrt.f64 a))) | |
| 8.2b | (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) (*.f64 a 2)) | |
| 8.4b | (*.f64 (*.f64 (fma.f64 y x (*.f64 (*.f64 t z) -9)) (sqrt.f64 1/2)) (/.f64 (sqrt.f64 1/2) a)) | |
| 8.0b | (*.f64 (fma.f64 y x (*.f64 (*.f64 t z) -9)) (/.f64 1/2 a)) | |
| 8.8b | (*.f64 (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (/.f64 (sqrt.f64 1/2) (*.f64 (cbrt.f64 a) (cbrt.f64 a)))) (/.f64 (sqrt.f64 1/2) (cbrt.f64 a))) | |
| 33.7b | (*.f64 -9/2 (/.f64 (*.f64 t z) a)) | |
| 33.7b | (*.f64 (*.f64 -9 (*.f64 t z)) (/.f64 1/2 a)) | |
| ▶ | 7.9b | (/.f64 (fma.f64 (*.f64 t z) -9/2 (*.f64 1/2 (*.f64 y x))) a) |
| 7.9b | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 9/2 (/.f64 (*.f64 t z) a))) | |
| 31.6b | (*.f64 1/2 (/.f64 (*.f64 y x) a)) | |
| 36.0b | (*.f64 (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (sqrt.f64 (/.f64 1/2 a))) (sqrt.f64 (/.f64 1/2 a))) | |
| 33.2b | (*.f64 (sqrt.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y))) (*.f64 (sqrt.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y))) (/.f64 1/2 a))) | |
| 31.2b | (*.f64 (sqrt.f64 (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (/.f64 1/2 a))) (sqrt.f64 (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (/.f64 1/2 a)))) |
Compiled 2206 to 1216 computations (44.9% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (*.f64 1/2 (*.f64 y x)) |
| ✓ | 0.3b | (fma.f64 (*.f64 t z) -9/2 (*.f64 1/2 (*.f64 y x))) |
| ✓ | 7.5b | (/.f64 (fma.f64 (*.f64 t z) -9/2 (*.f64 1/2 (*.f64 y x))) a) |
3 calls:
| 33.0ms | (/.f64 (fma.f64 (*.f64 t z) -9/2 (*.f64 1/2 (*.f64 y x))) a) |
| 16.0ms | (fma.f64 (*.f64 t z) -9/2 (*.f64 1/2 (*.f64 y x))) |
| 4.0ms | (*.f64 1/2 (*.f64 y x)) |
| 1× | rewrite-expression-head |
| 12× | *-un-lft-identity_binary64 |
| 12× | add-sqr-sqrt_binary64 |
| 12× | add-cube-cbrt_binary64 |
| 10× | add-cbrt-cube_binary64 |
| 10× | add-exp-log_binary64 |
3 calls:
| 4.0ms | (*.f64 1/2 (*.f64 y x)) |
| 2.0ms | (/.f64 (fma.f64 (*.f64 t z) -9/2 (*.f64 1/2 (*.f64 y x))) a) |
| 0.0ms | (fma.f64 (*.f64 t z) -9/2 (*.f64 1/2 (*.f64 y x))) |
| 1× | egg-herbie |
| 455× | associate-*l*_binary64 |
| 428× | distribute-rgt-in_binary64 |
| 425× | distribute-lft-in_binary64 |
| 423× | fma-def_binary64 |
| 320× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 114 | 2934 |
| 1 | 234 | 2627 |
| 2 | 611 | 2624 |
| 3 | 1856 | 2624 |
| 4 | 4945 | 2624 |
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 76 | 1 | 77 |
| Fresh | 1 | 11 | 12 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 77 | 13 | 90 |
| Status | Error | Program |
| 8.8b | (*.f64 (/.f64 (fma.f64 y x (*.f64 (*.f64 t z) -9)) (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 1/2 (cbrt.f64 a))) | |
| 8.2b | (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) (*.f64 a 2)) | |
| 8.4b | (*.f64 (*.f64 (fma.f64 y x (*.f64 (*.f64 t z) -9)) (sqrt.f64 1/2)) (/.f64 (sqrt.f64 1/2) a)) | |
| 8.0b | (*.f64 (fma.f64 y x (*.f64 (*.f64 t z) -9)) (/.f64 1/2 a)) | |
| 8.8b | (*.f64 (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (/.f64 (sqrt.f64 1/2) (*.f64 (cbrt.f64 a) (cbrt.f64 a)))) (/.f64 (sqrt.f64 1/2) (cbrt.f64 a))) | |
| 33.7b | (*.f64 -9/2 (/.f64 (*.f64 t z) a)) | |
| 31.6b | (*.f64 1/2 (/.f64 (*.f64 y x) a)) | |
| 35.9b | (/.f64 (/.f64 (fma.f64 (*.f64 t z) -9/2 (*.f64 1/2 (*.f64 y x))) (sqrt.f64 a)) (sqrt.f64 a)) | |
| 33.7b | (*.f64 (*.f64 -9 (*.f64 t z)) (/.f64 1/2 a)) | |
| ✓ | 7.9b | (/.f64 (fma.f64 (*.f64 t z) -9/2 (*.f64 1/2 (*.f64 y x))) a) |
| ▶ | 7.9b | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 9/2 (/.f64 (*.f64 t z) a))) |
| 33.2b | (*.f64 (sqrt.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y))) (*.f64 (sqrt.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y))) (/.f64 1/2 a))) | |
| 31.2b | (*.f64 (sqrt.f64 (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (/.f64 1/2 a))) (sqrt.f64 (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (/.f64 1/2 a)))) |
Compiled 1976 to 1068 computations (46% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 9/2 (/.f64 (*.f64 t z) a))) |
| ✓ | 0.2b | (*.f64 9/2 (/.f64 (*.f64 t z) a)) |
| ✓ | 5.1b | (/.f64 (*.f64 y x) a) |
| ✓ | 7.2b | (/.f64 (*.f64 t z) a) |
4 calls:
| 38.0ms | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 9/2 (/.f64 (*.f64 t z) a))) |
| 15.0ms | (*.f64 9/2 (/.f64 (*.f64 t z) a)) |
| 13.0ms | (/.f64 (*.f64 y x) a) |
| 12.0ms | (/.f64 (*.f64 t z) a) |
| 1× | rewrite-expression-head |
| 23× | add-cbrt-cube_binary64 |
| 23× | add-exp-log_binary64 |
| 13× | add-sqr-sqrt_binary64 |
| 11× | *-un-lft-identity_binary64 |
| 11× | add-cube-cbrt_binary64 |
4 calls:
| 6.0ms | (/.f64 (*.f64 t z) a) |
| 5.0ms | (*.f64 9/2 (/.f64 (*.f64 t z) a)) |
| 5.0ms | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 9/2 (/.f64 (*.f64 t z) a))) |
| 3.0ms | (/.f64 (*.f64 y x) a) |
| 1× | egg-herbie |
| 676× | times-frac_binary64 |
| 581× | fma-def_binary64 |
| 359× | *-commutative_binary64 |
| 335× | associate-/l/_binary64 |
| 254× | associate-/r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 168 | 1744 |
| 1 | 423 | 1541 |
| 2 | 1523 | 1530 |
| 3 | 4162 | 1530 |
| 4 | 4941 | 1530 |
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 128 | 6 | 134 |
| Fresh | 8 | 3 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 137 | 10 | 147 |
| Status | Error | Program |
| 8.4b | (*.f64 (*.f64 (fma.f64 y x (*.f64 (*.f64 t z) -9)) (sqrt.f64 1/2)) (/.f64 (sqrt.f64 1/2) a)) | |
| ▶ | 8.0b | (*.f64 (fma.f64 y x (*.f64 (*.f64 t z) -9)) (/.f64 1/2 a)) |
| 8.2b | (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) (*.f64 a 2)) | |
| 35.5b | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 9/2 (*.f64 (/.f64 t (sqrt.f64 a)) (/.f64 z (sqrt.f64 a))))) | |
| 8.4b | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 (*.f64 t 9/2) (/.f64 z a))) | |
| ✓ | 7.9b | (/.f64 (fma.f64 (*.f64 t z) -9/2 (*.f64 1/2 (*.f64 y x))) a) |
| 8.7b | (-.f64 (*.f64 1/2 (/.f64 y (/.f64 a x))) (*.f64 9/2 (/.f64 (*.f64 t z) a))) | |
| 8.5b | (-.f64 (*.f64 1/2 (*.f64 y (/.f64 x a))) (*.f64 9/2 (/.f64 (*.f64 t z) a))) | |
| 8.1b | (-.f64 (*.f64 1/2 (*.f64 (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 x (cbrt.f64 a)))) (*.f64 9/2 (/.f64 (*.f64 t z) a))) | |
| 8.3b | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 9/2 (/.f64 t (/.f64 a z)))) |
Compiled 3195 to 1386 computations (56.6% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (fma.f64 y x (*.f64 (*.f64 t z) -9)) |
| ✓ | 0.2b | (*.f64 (*.f64 t z) -9) |
| ✓ | 7.5b | (*.f64 (fma.f64 y x (*.f64 (*.f64 t z) -9)) (/.f64 1/2 a)) |
3 calls:
| 39.0ms | (*.f64 (fma.f64 y x (*.f64 (*.f64 t z) -9)) (/.f64 1/2 a)) |
| 12.0ms | (fma.f64 y x (*.f64 (*.f64 t z) -9)) |
| 4.0ms | (*.f64 (*.f64 t z) -9) |
| 1× | rewrite-expression-head |
| 17× | add-sqr-sqrt_binary64 |
| 16× | associate-*r*_binary64 |
| 13× | add-cbrt-cube_binary64 |
| 13× | add-exp-log_binary64 |
| 12× | *-un-lft-identity_binary64 |
3 calls:
| 5.0ms | (*.f64 (fma.f64 y x (*.f64 (*.f64 t z) -9)) (/.f64 1/2 a)) |
| 4.0ms | (*.f64 (*.f64 t z) -9) |
| 0.0ms | (fma.f64 y x (*.f64 (*.f64 t z) -9)) |
| 1× | egg-herbie |
| 692× | fma-def_binary64 |
| 483× | div-sub_binary64 |
| 323× | *-commutative_binary64 |
| 239× | associate-*l/_binary64 |
| 238× | associate-*r/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 2836 |
| 1 | 327 | 2584 |
| 2 | 1171 | 2583 |
| 3 | 3063 | 2583 |
| 4 | 4592 | 2583 |
| 5 | 5559 | 2583 |
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 105 | 1 | 106 |
| Fresh | 1 | 7 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 106 | 10 | 116 |
| Status | Error | Program |
| 8.4b | (*.f64 (*.f64 (fma.f64 y x (*.f64 (*.f64 t z) -9)) (sqrt.f64 1/2)) (/.f64 (sqrt.f64 1/2) a)) | |
| ✓ | 8.0b | (*.f64 (fma.f64 y x (*.f64 (*.f64 t z) -9)) (/.f64 1/2 a)) |
| 8.1b | (-.f64 (*.f64 1/2 (*.f64 (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 x (cbrt.f64 a)))) (*.f64 9/2 (/.f64 (*.f64 t z) a))) | |
| 8.2b | (*.f64 1/2 (/.f64 (fma.f64 t (*.f64 z -9) (*.f64 y x)) a)) | |
| 35.5b | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 9/2 (*.f64 (/.f64 t (sqrt.f64 a)) (/.f64 z (sqrt.f64 a))))) | |
| 8.4b | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 (*.f64 t 9/2) (/.f64 z a))) | |
| ✓ | 7.9b | (/.f64 (fma.f64 (*.f64 t z) -9/2 (*.f64 1/2 (*.f64 y x))) a) |
| 8.7b | (-.f64 (*.f64 1/2 (/.f64 y (/.f64 a x))) (*.f64 9/2 (/.f64 (*.f64 t z) a))) | |
| 8.5b | (-.f64 (*.f64 1/2 (*.f64 y (/.f64 x a))) (*.f64 9/2 (/.f64 (*.f64 t z) a))) | |
| 8.3b | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 9/2 (/.f64 t (/.f64 a z)))) |
Compiled 2200 to 1251 computations (43.1% saved)
Total 3.9b remaining (89.5%)
Threshold costs 0b (0%)
Compiled 14074 to 9631 computations (31.6% saved)
Compiled 8 to 6 computations (25% saved)
| 1× | egg-herbie |
| 17× | *-commutative_binary64 |
| 11× | +-commutative_binary64 |
| 11× | sub-neg_binary64 |
| 9× | neg-sub0_binary64 |
| 9× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 96 |
| 1 | 50 | 96 |
| 2 | 64 | 96 |
| 3 | 80 | 96 |
| 4 | 100 | 96 |
| 5 | 112 | 96 |
| 6 | 119 | 96 |
| 7 | 121 | 96 |
| 8 | 120 | 96 |
Compiled 617 to 363 computations (41.2% saved)
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