Time bar (total: 7.0s)
| 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)
| 1× | intervals |
(sort x y)
(sort z t)
| 15.0ms | 256× | body | 128 | valid |
| 7.0ms | 81× | body | 128 | invalid |
Compiled 42 to 32 computations (23.8% 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 |
| ▶ | 8.7b | (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) (*.f64 a 2)) |
| 8.9b | (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (/.f64 1/2 a)) |
Compiled 100 to 69 computations (31% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (*.f64 (*.f64 z 9) t) |
| ✓ | 0.5b | (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) |
| ✓ | 8.2b | (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) (*.f64 a 2)) |
3 calls:
| 38.0ms | (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) (*.f64 a 2)) |
| 35.0ms | (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) |
| 5.0ms | (*.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:
| 7.0ms | (/.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 (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 105 | 10 | 115 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 105 | 12 | 117 |
| Status | Error | Program |
| 8.9b | (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (/.f64 1/2 a)) | |
| 32.0b | (*.f64 1/2 (/.f64 (*.f64 y x) a)) | |
| 39.3b | (*.f64 (sqrt.f64 (/.f64 (fma.f64 t (*.f64 z -9) (*.f64 y x)) (*.f64 a 2))) (sqrt.f64 (/.f64 (fma.f64 t (*.f64 z -9) (*.f64 y x)) (*.f64 a 2)))) | |
| 35.5b | (*.f64 -9/2 (/.f64 (*.f64 t z) a)) | |
| ✓ | 8.7b | (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) (*.f64 a 2)) |
| 38.6b | (cbrt.f64 (pow.f64 (/.f64 (fma.f64 t (*.f64 z -9) (*.f64 y x)) (*.f64 a 2)) 3)) | |
| 9.6b | (/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t))) (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)))) (/.f64 a (/.f64 (cbrt.f64 (fma.f64 t (*.f64 z -9) (*.f64 y x))) 2))) | |
| ▶ | 8.7b | (/.f64 (-.f64 (*.f64 x y) (*.f64 z (*.f64 9 t))) (*.f64 a 2)) |
| 43.6b | (/.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 (*.f64 z 9) t) 3)) (*.f64 (*.f64 a 2) (+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (+.f64 (*.f64 (*.f64 (*.f64 z 9) t) (*.f64 (*.f64 z 9) t)) (*.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)))))) | |
| 35.4b | (/.f64 (*.f64 -9 (*.f64 t z)) (*.f64 a 2)) | |
| 35.6b | (*.f64 (/.f64 (sqrt.f64 (fma.f64 t (*.f64 z -9) (*.f64 y x))) a) (/.f64 (sqrt.f64 (fma.f64 t (*.f64 z -9) (*.f64 y x))) 2)) | |
| 8.8b | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 9/2 (/.f64 (*.f64 t z) a))) |
Compiled 2817 to 1628 computations (42.2% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (*.f64 z (*.f64 9 t)) |
| ✓ | 0.5b | (-.f64 (*.f64 x y) (*.f64 z (*.f64 9 t))) |
| ✓ | 8.2b | (/.f64 (-.f64 (*.f64 x y) (*.f64 z (*.f64 9 t))) (*.f64 a 2)) |
3 calls:
| 49.0ms | (/.f64 (-.f64 (*.f64 x y) (*.f64 z (*.f64 9 t))) (*.f64 a 2)) |
| 12.0ms | (-.f64 (*.f64 x y) (*.f64 z (*.f64 9 t))) |
| 4.0ms | (*.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:
| 10.0ms | (*.f64 z (*.f64 9 t)) |
| 5.0ms | (/.f64 (-.f64 (*.f64 x y) (*.f64 z (*.f64 9 t))) (*.f64 a 2)) |
| 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 |
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 113 | 2 | 115 |
| Fresh | 3 | 7 | 10 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 117 | 10 | 127 |
| Status | Error | Program |
| ▶ | 8.9b | (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (/.f64 1/2 a)) |
| 32.0b | (*.f64 1/2 (/.f64 (*.f64 y x) a)) | |
| 39.3b | (*.f64 (sqrt.f64 (/.f64 (fma.f64 t (*.f64 z -9) (*.f64 y x)) (*.f64 a 2))) (sqrt.f64 (/.f64 (fma.f64 t (*.f64 z -9) (*.f64 y x)) (*.f64 a 2)))) | |
| 35.5b | (*.f64 -9/2 (/.f64 (*.f64 t z) a)) | |
| 35.2b | (/.f64 (/.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 (*.f64 (*.f64 t z) (*.f64 t z)) -81)) (fma.f64 z (*.f64 t 9) (*.f64 y x))) (*.f64 a 2)) | |
| 35.6b | (/.f64 (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 z (*.f64 9 t)))) (/.f64 a (/.f64 (sqrt.f64 (fma.f64 t (*.f64 z -9) (*.f64 y x))) 2))) | |
| 38.6b | (cbrt.f64 (pow.f64 (/.f64 (fma.f64 t (*.f64 z -9) (*.f64 y x)) (*.f64 a 2)) 3)) | |
| 9.6b | (/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t))) (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)))) (/.f64 a (/.f64 (cbrt.f64 (fma.f64 t (*.f64 z -9) (*.f64 y x))) 2))) | |
| ✓ | 8.7b | (/.f64 (-.f64 (*.f64 x y) (*.f64 z (*.f64 9 t))) (*.f64 a 2)) |
| 35.4b | (/.f64 (*.f64 -9 (*.f64 t z)) (*.f64 a 2)) |
Compiled 2718 to 1555 computations (42.8% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.6b | (fma.f64 -9 (*.f64 z t) (*.f64 x y)) |
| ✓ | 8.4b | (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (/.f64 1/2 a)) |
2 calls:
| 40.0ms | (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (/.f64 1/2 a)) |
| 13.0ms | (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 |
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 85 | 3 | 88 |
| Fresh | 1 | 7 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 87 | 11 | 98 |
| Status | Error | Program |
| 38.6b | (cbrt.f64 (pow.f64 (/.f64 (fma.f64 t (*.f64 z -9) (*.f64 y x)) (*.f64 a 2)) 3)) | |
| 32.1b | (*.f64 (*.f64 y x) (/.f64 1/2 a)) | |
| 39.3b | (*.f64 (sqrt.f64 (/.f64 (fma.f64 t (*.f64 z -9) (*.f64 y x)) (*.f64 a 2))) (sqrt.f64 (/.f64 (fma.f64 t (*.f64 z -9) (*.f64 y x)) (*.f64 a 2)))) | |
| 35.5b | (*.f64 -9/2 (/.f64 (*.f64 t z) a)) | |
| 35.5b | (*.f64 (*.f64 -9 (*.f64 t z)) (/.f64 1/2 a)) | |
| 35.2b | (/.f64 (/.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 (*.f64 (*.f64 t z) (*.f64 t z)) -81)) (fma.f64 z (*.f64 t 9) (*.f64 y x))) (*.f64 a 2)) | |
| 35.6b | (/.f64 (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 z (*.f64 9 t)))) (/.f64 a (/.f64 (sqrt.f64 (fma.f64 t (*.f64 z -9) (*.f64 y x))) 2))) | |
| 9.6b | (/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t))) (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)))) (/.f64 a (/.f64 (cbrt.f64 (fma.f64 t (*.f64 z -9) (*.f64 y x))) 2))) | |
| ▶ | 9.2b | (*.f64 (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (/.f64 (sqrt.f64 1/2) 1)) (/.f64 (sqrt.f64 1/2) a)) |
| ✓ | 8.7b | (/.f64 (-.f64 (*.f64 x y) (*.f64 z (*.f64 9 t))) (*.f64 a 2)) |
| 35.4b | (/.f64 (*.f64 -9 (*.f64 t z)) (*.f64 a 2)) |
Compiled 2152 to 1181 computations (45.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.4b | (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (/.f64 (sqrt.f64 1/2) 1)) |
| ✓ | 0.4b | (/.f64 (sqrt.f64 1/2) a) |
| 0.6b | (fma.f64 -9 (*.f64 z t) (*.f64 x y)) | |
| ✓ | 8.3b | (*.f64 (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (/.f64 (sqrt.f64 1/2) 1)) (/.f64 (sqrt.f64 1/2) a)) |
3 calls:
| 101.0ms | (*.f64 (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (/.f64 (sqrt.f64 1/2) 1)) (/.f64 (sqrt.f64 1/2) a)) |
| 21.0ms | (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (/.f64 (sqrt.f64 1/2) 1)) |
| 3.0ms | (/.f64 (sqrt.f64 1/2) a) |
| 1× | rewrite-expression-head |
| 58× | times-frac_binary64 |
| 57× | add-sqr-sqrt_binary64 |
| 47× | *-un-lft-identity_binary64 |
| 45× | add-cube-cbrt_binary64 |
| 44× | associate-*r*_binary64 |
3 calls:
| 11.0ms | (*.f64 (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (/.f64 (sqrt.f64 1/2) 1)) (/.f64 (sqrt.f64 1/2) a)) |
| 6.0ms | (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (/.f64 (sqrt.f64 1/2) 1)) |
| 3.0ms | (/.f64 (sqrt.f64 1/2) a) |
| 1× | egg-herbie |
| 772× | fma-def_binary64 |
| 582× | times-frac_binary64 |
| 408× | *-commutative_binary64 |
| 289× | associate-/l/_binary64 |
| 262× | distribute-rgt-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 184 | 4969 |
| 1 | 406 | 4213 |
| 2 | 1542 | 4213 |
| 3 | 4430 | 4213 |
| 4 | 5215 | 4213 |
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 217 | 3 | 220 |
| Fresh | 1 | 8 | 9 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 219 | 12 | 231 |
| Status | Error | Program |
| 35.2b | (/.f64 (/.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 (*.f64 (*.f64 t z) (*.f64 t z)) -81)) (fma.f64 z (*.f64 t 9) (*.f64 y x))) (*.f64 a 2)) | |
| 35.8b | (*.f64 -9 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 t z)) a)) | |
| 38.6b | (cbrt.f64 (pow.f64 (/.f64 (fma.f64 t (*.f64 z -9) (*.f64 y x)) (*.f64 a 2)) 3)) | |
| 32.1b | (*.f64 (*.f64 y x) (/.f64 1/2 a)) | |
| 39.3b | (*.f64 (sqrt.f64 (/.f64 (fma.f64 t (*.f64 z -9) (*.f64 y x)) (*.f64 a 2))) (sqrt.f64 (/.f64 (fma.f64 t (*.f64 z -9) (*.f64 y x)) (*.f64 a 2)))) | |
| 35.5b | (*.f64 -9/2 (/.f64 (*.f64 t z) a)) | |
| 35.5b | (*.f64 (*.f64 -9 (*.f64 t z)) (/.f64 1/2 a)) | |
| 35.6b | (/.f64 (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 z (*.f64 9 t)))) (/.f64 a (/.f64 (sqrt.f64 (fma.f64 t (*.f64 z -9) (*.f64 y x))) 2))) | |
| 9.6b | (/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t))) (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)))) (/.f64 a (/.f64 (cbrt.f64 (fma.f64 t (*.f64 z -9) (*.f64 y x))) 2))) | |
| ✓ | 8.7b | (/.f64 (-.f64 (*.f64 x y) (*.f64 z (*.f64 9 t))) (*.f64 a 2)) |
| 35.6b | (*.f64 (*.f64 (*.f64 (*.f64 t z) -9) (/.f64 (sqrt.f64 1/2) 1)) (/.f64 (sqrt.f64 1/2) a)) | |
| 32.2b | (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 y x)) (/.f64 (sqrt.f64 1/2) a)) |
Compiled 5784 to 3725 computations (35.6% saved)
Total 0.5b remaining (6.7%)
Threshold costs 0.5b (6.7%)
Compiled 48515 to 35968 computations (25.9% saved)
| 1× | egg-herbie |
| 8× | *-commutative_binary64 |
| 5× | +-commutative_binary64 |
| 5× | sub-neg_binary64 |
| 4× | distribute-rgt-neg-in_binary64 |
| 4× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 19 |
| 1 | 23 | 19 |
| 2 | 40 | 19 |
| 3 | 48 | 19 |
| 4 | 54 | 19 |
| 5 | 56 | 19 |
| 6 | 55 | 19 |
(sort z t)
(sort x y)
Compiled 90 to 65 computations (27.8% saved)
| 1× | intervals |
| 443.0ms | 8000× | body | 128 | valid |
| 181.0ms | 3195× | body | 128 | invalid |
Compiled 306 to 220 computations (28.1% saved)
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