Time bar (total: 9.9s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.5% | 0.5% | 0 |
| 0% | 99.5% | 0.5% | 1 |
| 0% | 99.5% | 0.5% | 2 |
| 0% | 99.5% | 0.5% | 3 |
| 0% | 99.5% | 0.5% | 4 |
| 0% | 99.5% | 0.5% | 5 |
| 0% | 99.5% | 0.5% | 6 |
| 0% | 99.5% | 0.5% | 7 |
| 0% | 99.5% | 0.5% | 8 |
| 0% | 99.5% | 0.5% | 9 |
| 0% | 99.5% | 0.5% | 10 |
| 0% | 99.5% | 0.5% | 11 |
| 0% | 99.5% | 0.5% | 12 |
| 0% | 99.5% | 0.5% | 13 |
| 0% | 99.5% | 0.5% | 14 |
Compiled 42 to 30 computations (28.6% saved)
| 1.9s | 8792× | body | 128 | invalid |
| 1.7s | 8256× | body | 128 | valid |
Compiled 84 to 60 computations (28.6% saved)
| 2× | egg-herbie |
| 671× | cancel-sign-sub-inv_binary64 |
| 486× | fma-neg_binary64 |
| 466× | associate-*l*_binary64 |
| 374× | fma-def_binary64 |
| 336× | associate-*r*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 358 | 1978 |
| 1 | 1491 | 1702 |
| 0 | 10 | 10 |
| 1 | 10 | 10 |
| 1× | unsound |
| 1× | node limit |
(sort y z)
(sort b c)
(sort j k)
Compiled 41 to 29 computations (29.3% saved)
| 1× | egg-herbie |
| 513× | fma-neg_binary64 |
| 388× | sub-neg_binary64 |
| 242× | associate--r+_binary64 |
| 237× | distribute-rgt-neg-in_binary64 |
| 213× | associate--r-_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 43 |
| 1 | 77 | 37 |
| 2 | 278 | 35 |
| 3 | 986 | 35 |
| 4 | 2620 | 35 |
| 5 | 4613 | 35 |
| 1× | node limit |
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 |
| 5.7b | (-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k)) | |
| ▶ | 4.6b | (fma.f64 t (fma.f64 (*.f64 x 18) (*.f64 y z) (*.f64 a -4)) (fma.f64 b c (fma.f64 x (*.f64 i -4) (*.f64 j (*.f64 k -27))))) |
Compiled 218 to 149 computations (31.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (fma.f64 x (*.f64 i -4) (*.f64 j (*.f64 k -27))) |
| ✓ | 0.2b | (*.f64 j (*.f64 k -27)) |
| ✓ | 2.3b | (fma.f64 (*.f64 x 18) (*.f64 y z) (*.f64 a -4)) |
| ✓ | 2.7b | (fma.f64 t (fma.f64 (*.f64 x 18) (*.f64 y z) (*.f64 a -4)) (fma.f64 b c (fma.f64 x (*.f64 i -4) (*.f64 j (*.f64 k -27))))) |
60 calls:
| 7.0ms | (fma.f64 t (fma.f64 (*.f64 x 18) (*.f64 y z) (*.f64 a -4)) (fma.f64 b c (fma.f64 x (*.f64 i -4) (*.f64 j (*.f64 k -27))))) | z | -inf |
| 7.0ms | (fma.f64 t (fma.f64 (*.f64 x 18) (*.f64 y z) (*.f64 a -4)) (fma.f64 b c (fma.f64 x (*.f64 i -4) (*.f64 j (*.f64 k -27))))) | c | -inf |
| 7.0ms | (fma.f64 t (fma.f64 (*.f64 x 18) (*.f64 y z) (*.f64 a -4)) (fma.f64 b c (fma.f64 x (*.f64 i -4) (*.f64 j (*.f64 k -27))))) | k | -inf |
| 5.0ms | (fma.f64 t (fma.f64 (*.f64 x 18) (*.f64 y z) (*.f64 a -4)) (fma.f64 b c (fma.f64 x (*.f64 i -4) (*.f64 j (*.f64 k -27))))) | t | -inf |
| 5.0ms | (fma.f64 x (*.f64 i -4) (*.f64 j (*.f64 k -27))) | i | inf |
| 1× | batch-egg-rewrite |
| 242× | add-sqr-sqrt_binary64 |
| 222× | add-log-exp_binary64 |
| 222× | log1p-expm1-u_binary64 |
| 222× | expm1-log1p-u_binary64 |
| 221× | add-cube-cbrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 70 |
| 1 | 479 | 70 |
| 1× | node limit |
| 1× | egg-herbie |
| 925× | fma-neg_binary64 |
| 537× | cancel-sign-sub-inv_binary64 |
| 491× | sub-neg_binary64 |
| 313× | fma-def_binary64 |
| 223× | distribute-rgt-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 5590 |
| 1 | 191 | 5217 |
| 2 | 623 | 4948 |
| 3 | 2132 | 4946 |
| 4 | 4672 | 4946 |
| 1× | node limit |
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 108 | 6 | 114 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 110 | 6 | 116 |
| Status | Error | Program |
| 4.6b | (fma.f64 t (-.f64 (*.f64 18 (*.f64 y (*.f64 z x))) (*.f64 4 a)) (fma.f64 b c (fma.f64 x (*.f64 i -4) (*.f64 j (*.f64 k -27))))) | |
| 43.5b | (*.f64 (-.f64 (*.f64 18 (*.f64 y (*.f64 t z))) (*.f64 4 i)) x) | |
| 25.6b | (fma.f64 t (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x 18) (*.f64 y z) (*.f64 a -4)) 3)) (fma.f64 b c (fma.f64 x (*.f64 i -4) (*.f64 j (*.f64 k -27))))) | |
| 4.6b | (fma.f64 t (fma.f64 (*.f64 x 18) (*.f64 y z) (*.f64 a -4)) (fma.f64 b c (fma.f64 i (*.f64 x -4) (*.f64 k (*.f64 j -27))))) | |
| 6.4b | (fma.f64 c b (fma.f64 x (*.f64 y (*.f64 t (*.f64 18 z))) (fma.f64 k (*.f64 j -27) (*.f64 -4 (fma.f64 i x (*.f64 t a)))))) | |
| ▶ | 3.6b | (-.f64 (+.f64 (*.f64 c b) (*.f64 18 (*.f64 y (*.f64 t (*.f64 z x))))) (+.f64 (*.f64 4 (*.f64 i x)) (+.f64 (*.f64 4 (*.f64 a t)) (*.f64 27 (*.f64 k j))))) |
Compiled 3485 to 1995 computations (42.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (*.f64 18 (*.f64 y (*.f64 t (*.f64 z x)))) |
| ✓ | 0.3b | (*.f64 27 (*.f64 k j)) |
| ✓ | 4.4b | (*.f64 t (*.f64 z x)) |
| ✓ | 5.8b | (*.f64 y (*.f64 t (*.f64 z x))) |
39 calls:
| 3.0ms | (*.f64 18 (*.f64 y (*.f64 t (*.f64 z x)))) | t | 0 |
| 3.0ms | (*.f64 y (*.f64 t (*.f64 z x))) | y | -inf |
| 1.0ms | (*.f64 y (*.f64 t (*.f64 z x))) | t | -inf |
| 1.0ms | (*.f64 18 (*.f64 y (*.f64 t (*.f64 z x)))) | y | -inf |
| 1.0ms | (*.f64 18 (*.f64 y (*.f64 t (*.f64 z x)))) | y | 0 |
| 1× | batch-egg-rewrite |
| 827× | log-prod_binary64 |
| 273× | expm1-udef_binary64 |
| 273× | log1p-udef_binary64 |
| 243× | log-pow_binary64 |
| 175× | associate-*r*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 37 |
| 1 | 304 | 37 |
| 2 | 3665 | 37 |
| 1× | node limit |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 67 | 1 | 68 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 67 | 7 | 74 |
| Status | Error | Program |
| ▶ | 4.6b | (fma.f64 t (-.f64 (*.f64 18 (*.f64 y (*.f64 z x))) (*.f64 4 a)) (fma.f64 b c (fma.f64 x (*.f64 i -4) (*.f64 j (*.f64 k -27))))) |
| 43.5b | (*.f64 (-.f64 (*.f64 18 (*.f64 y (*.f64 t z))) (*.f64 4 i)) x) | |
| 25.6b | (fma.f64 t (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x 18) (*.f64 y z) (*.f64 a -4)) 3)) (fma.f64 b c (fma.f64 x (*.f64 i -4) (*.f64 j (*.f64 k -27))))) | |
| 15.7b | (-.f64 (+.f64 (*.f64 c b) (*.f64 18 (*.f64 y (cbrt.f64 (pow.f64 (*.f64 t (*.f64 z x)) 3))))) (+.f64 (*.f64 4 (*.f64 i x)) (+.f64 (*.f64 4 (*.f64 a t)) (*.f64 27 (*.f64 k j))))) | |
| 4.6b | (fma.f64 t (fma.f64 (*.f64 x 18) (*.f64 y z) (*.f64 a -4)) (fma.f64 b c (fma.f64 i (*.f64 x -4) (*.f64 k (*.f64 j -27))))) | |
| 6.4b | (fma.f64 c b (fma.f64 x (*.f64 y (*.f64 t (*.f64 18 z))) (fma.f64 k (*.f64 j -27) (*.f64 -4 (fma.f64 i x (*.f64 t a)))))) | |
| ✓ | 3.6b | (-.f64 (+.f64 (*.f64 c b) (*.f64 18 (*.f64 y (*.f64 t (*.f64 z x))))) (+.f64 (*.f64 4 (*.f64 i x)) (+.f64 (*.f64 4 (*.f64 a t)) (*.f64 27 (*.f64 k j))))) |
Compiled 2907 to 1433 computations (50.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.2b | (*.f64 j (*.f64 k -27)) | |
| ✓ | 0.3b | (*.f64 18 (*.f64 y (*.f64 z x))) |
| ✓ | 2.7b | (fma.f64 t (-.f64 (*.f64 18 (*.f64 y (*.f64 z x))) (*.f64 4 a)) (fma.f64 b c (fma.f64 x (*.f64 i -4) (*.f64 j (*.f64 k -27))))) |
| ✓ | 4.6b | (*.f64 y (*.f64 z x)) |
48 calls:
| 9.0ms | (fma.f64 t (-.f64 (*.f64 18 (*.f64 y (*.f64 z x))) (*.f64 4 a)) (fma.f64 b c (fma.f64 x (*.f64 i -4) (*.f64 j (*.f64 k -27))))) | b | inf |
| 4.0ms | (fma.f64 t (-.f64 (*.f64 18 (*.f64 y (*.f64 z x))) (*.f64 4 a)) (fma.f64 b c (fma.f64 x (*.f64 i -4) (*.f64 j (*.f64 k -27))))) | k | inf |
| 4.0ms | (fma.f64 t (-.f64 (*.f64 18 (*.f64 y (*.f64 z x))) (*.f64 4 a)) (fma.f64 b c (fma.f64 x (*.f64 i -4) (*.f64 j (*.f64 k -27))))) | x | -inf |
| 4.0ms | (fma.f64 t (-.f64 (*.f64 18 (*.f64 y (*.f64 z x))) (*.f64 4 a)) (fma.f64 b c (fma.f64 x (*.f64 i -4) (*.f64 j (*.f64 k -27))))) | b | 0 |
| 4.0ms | (fma.f64 t (-.f64 (*.f64 18 (*.f64 y (*.f64 z x))) (*.f64 4 a)) (fma.f64 b c (fma.f64 x (*.f64 i -4) (*.f64 j (*.f64 k -27))))) | i | inf |
| 1× | batch-egg-rewrite |
| 270× | add-sqr-sqrt_binary64 |
| 253× | log1p-expm1-u_binary64 |
| 253× | expm1-log1p-u_binary64 |
| 252× | add-cbrt-cube_binary64 |
| 251× | add-log-exp_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 54 |
| 1 | 546 | 52 |
| 1× | node limit |
| 1× | egg-herbie |
| 791× | fma-neg_binary64 |
| 502× | cancel-sign-sub-inv_binary64 |
| 467× | sub-neg_binary64 |
| 291× | fma-def_binary64 |
| 226× | distribute-rgt-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 4096 |
| 1 | 184 | 3795 |
| 2 | 600 | 3602 |
| 3 | 2048 | 3596 |
| 4 | 4501 | 3596 |
| 1× | node limit |
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 88 | 0 | 88 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 88 | 7 | 95 |
| Status | Error | Program |
| ✓ | 4.6b | (fma.f64 t (-.f64 (*.f64 18 (*.f64 y (*.f64 z x))) (*.f64 4 a)) (fma.f64 b c (fma.f64 x (*.f64 i -4) (*.f64 j (*.f64 k -27))))) |
| 43.5b | (*.f64 (-.f64 (*.f64 18 (*.f64 y (*.f64 t z))) (*.f64 4 i)) x) | |
| 25.6b | (fma.f64 t (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x 18) (*.f64 y z) (*.f64 a -4)) 3)) (fma.f64 b c (fma.f64 x (*.f64 i -4) (*.f64 j (*.f64 k -27))))) | |
| 15.7b | (-.f64 (+.f64 (*.f64 c b) (*.f64 18 (*.f64 y (cbrt.f64 (pow.f64 (*.f64 t (*.f64 z x)) 3))))) (+.f64 (*.f64 4 (*.f64 i x)) (+.f64 (*.f64 4 (*.f64 a t)) (*.f64 27 (*.f64 k j))))) | |
| ▶ | 4.6b | (fma.f64 t (fma.f64 (*.f64 x 18) (*.f64 y z) (*.f64 a -4)) (fma.f64 b c (fma.f64 i (*.f64 x -4) (*.f64 k (*.f64 j -27))))) |
| 6.4b | (fma.f64 c b (fma.f64 x (*.f64 y (*.f64 t (*.f64 18 z))) (fma.f64 k (*.f64 j -27) (*.f64 -4 (fma.f64 i x (*.f64 t a)))))) | |
| ✓ | 3.6b | (-.f64 (+.f64 (*.f64 c b) (*.f64 18 (*.f64 y (*.f64 t (*.f64 z x))))) (+.f64 (*.f64 4 (*.f64 i x)) (+.f64 (*.f64 4 (*.f64 a t)) (*.f64 27 (*.f64 k j))))) |
Compiled 2591 to 1452 computations (44% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (fma.f64 i (*.f64 x -4) (*.f64 k (*.f64 j -27))) |
| ✓ | 0.3b | (*.f64 k (*.f64 j -27)) |
| 2.3b | (fma.f64 (*.f64 x 18) (*.f64 y z) (*.f64 a -4)) | |
| ✓ | 2.7b | (fma.f64 t (fma.f64 (*.f64 x 18) (*.f64 y z) (*.f64 a -4)) (fma.f64 b c (fma.f64 i (*.f64 x -4) (*.f64 k (*.f64 j -27))))) |
48 calls:
| 31.0ms | (fma.f64 t (fma.f64 (*.f64 x 18) (*.f64 y z) (*.f64 a -4)) (fma.f64 b c (fma.f64 i (*.f64 x -4) (*.f64 k (*.f64 j -27))))) | t | -inf |
| 30.0ms | (fma.f64 t (fma.f64 (*.f64 x 18) (*.f64 y z) (*.f64 a -4)) (fma.f64 b c (fma.f64 i (*.f64 x -4) (*.f64 k (*.f64 j -27))))) | y | -inf |
| 4.0ms | (fma.f64 t (fma.f64 (*.f64 x 18) (*.f64 y z) (*.f64 a -4)) (fma.f64 b c (fma.f64 i (*.f64 x -4) (*.f64 k (*.f64 j -27))))) | a | -inf |
| 4.0ms | (fma.f64 t (fma.f64 (*.f64 x 18) (*.f64 y z) (*.f64 a -4)) (fma.f64 b c (fma.f64 i (*.f64 x -4) (*.f64 k (*.f64 j -27))))) | c | 0 |
| 4.0ms | (fma.f64 t (fma.f64 (*.f64 x 18) (*.f64 y z) (*.f64 a -4)) (fma.f64 b c (fma.f64 i (*.f64 x -4) (*.f64 k (*.f64 j -27))))) | j | -inf |
| 1× | batch-egg-rewrite |
| 242× | add-sqr-sqrt_binary64 |
| 222× | add-log-exp_binary64 |
| 222× | log1p-expm1-u_binary64 |
| 222× | expm1-log1p-u_binary64 |
| 221× | add-cube-cbrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 56 |
| 1 | 479 | 56 |
| 1× | node limit |
| 1× | egg-herbie |
| 925× | fma-neg_binary64 |
| 537× | cancel-sign-sub-inv_binary64 |
| 491× | sub-neg_binary64 |
| 302× | fma-def_binary64 |
| 227× | distribute-rgt-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 4924 |
| 1 | 190 | 4623 |
| 2 | 621 | 4354 |
| 3 | 2122 | 4352 |
| 4 | 4672 | 4352 |
| 1× | node limit |
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 114 | 0 | 114 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 114 | 7 | 121 |
| Status | Error | Program |
| ✓ | 4.6b | (fma.f64 t (-.f64 (*.f64 18 (*.f64 y (*.f64 z x))) (*.f64 4 a)) (fma.f64 b c (fma.f64 x (*.f64 i -4) (*.f64 j (*.f64 k -27))))) |
| 43.5b | (*.f64 (-.f64 (*.f64 18 (*.f64 y (*.f64 t z))) (*.f64 4 i)) x) | |
| 25.6b | (fma.f64 t (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x 18) (*.f64 y z) (*.f64 a -4)) 3)) (fma.f64 b c (fma.f64 x (*.f64 i -4) (*.f64 j (*.f64 k -27))))) | |
| 15.7b | (-.f64 (+.f64 (*.f64 c b) (*.f64 18 (*.f64 y (cbrt.f64 (pow.f64 (*.f64 t (*.f64 z x)) 3))))) (+.f64 (*.f64 4 (*.f64 i x)) (+.f64 (*.f64 4 (*.f64 a t)) (*.f64 27 (*.f64 k j))))) | |
| ✓ | 4.6b | (fma.f64 t (fma.f64 (*.f64 x 18) (*.f64 y z) (*.f64 a -4)) (fma.f64 b c (fma.f64 i (*.f64 x -4) (*.f64 k (*.f64 j -27))))) |
| 6.4b | (fma.f64 c b (fma.f64 x (*.f64 y (*.f64 t (*.f64 18 z))) (fma.f64 k (*.f64 j -27) (*.f64 -4 (fma.f64 i x (*.f64 t a)))))) | |
| ✓ | 3.6b | (-.f64 (+.f64 (*.f64 c b) (*.f64 18 (*.f64 y (*.f64 t (*.f64 z x))))) (+.f64 (*.f64 4 (*.f64 i x)) (+.f64 (*.f64 4 (*.f64 a t)) (*.f64 27 (*.f64 k j))))) |
Compiled 3321 to 1880 computations (43.4% saved)
Total 1.1b remaining (97%)
Threshold costs 0b (0%)
Compiled 26767 to 19603 computations (26.8% saved)
| 2× | left-value |
2 calls:
| 0.0ms | (-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k)) |
| 0.0ms | (-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k)) |
| Iters | Point | Range | ||||
|---|---|---|---|---|---|---|
1.0105893170236064e+298 | ∈ [ | 1.0105893170236064e+298 | , | 3.9288222412647287e+300 | ] | |
#hash((type . real) (value . -inf)) | ∈ [ | #hash((type . real) (value . -inf)) | , | -5.721258663576153e+306 | ] | |
Compiled 41 to 29 computations (29.3% saved)
| 1× | egg-herbie |
| 46× | *-commutative_binary64 |
| 28× | +-commutative_binary64 |
| 24× | distribute-rgt-neg-in_binary64 |
| 24× | sub-neg_binary64 |
| 20× | distribute-lft-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 229 |
| 1 | 110 | 229 |
| 2 | 165 | 229 |
| 3 | 206 | 229 |
| 4 | 251 | 229 |
| 5 | 277 | 229 |
| 6 | 284 | 229 |
| 7 | 286 | 229 |
| 1× | saturated |
| 1× | fuel |
(sort j k)
(sort b c)
(sort y z)
Compiled 1572 to 986 computations (37.3% saved)
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