Time bar (total: 9.1s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.7% | 0.3% | 0 |
| 0% | 99.7% | 0.3% | 1 |
| 0% | 99.7% | 0.3% | 2 |
| 0% | 99.7% | 0.3% | 3 |
| 0% | 99.7% | 0.3% | 4 |
| 0% | 99.7% | 0.3% | 5 |
| 0% | 99.7% | 0.3% | 6 |
| 0% | 99.7% | 0.3% | 7 |
| 0% | 99.7% | 0.3% | 8 |
| 0% | 99.7% | 0.3% | 9 |
| 0% | 99.7% | 0.3% | 10 |
| 0% | 99.7% | 0.3% | 11 |
| 0% | 99.7% | 0.3% | 12 |
| 0% | 99.7% | 0.3% | 13 |
| 0% | 99.7% | 0.3% | 14 |
Compiled 27 to 19 computations (29.6% saved)
| 1.4s | 8256× | body | 128 | valid |
| 794.0ms | 4895× | body | 128 | invalid |
Compiled 54 to 38 computations (29.6% saved)
| 2× | egg-herbie |
| 1024× | fma-neg_binary64 |
| 531× | fma-def_binary64 |
| 420× | cancel-sign-sub-inv_binary64 |
| 298× | associate-*r*_binary64 |
| 288× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 141 | 616 |
| 1 | 485 | 616 |
| 2 | 1566 | 528 |
| 3 | 4974 | 528 |
| 0 | 7 | 7 |
| 1 | 7 | 7 |
| 1× | unsound |
| 1× | node limit |
(sort x y)
(sort t a)
Compiled 26 to 18 computations (30.8% saved)
| 1× | egg-herbie |
| 828× | fma-def_binary64 |
| 465× | cancel-sign-sub-inv_binary64 |
| 457× | fma-neg_binary64 |
| 354× | associate-/l*_binary64 |
| 249× | associate-/l/_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 28 |
| 1 | 42 | 28 |
| 2 | 125 | 24 |
| 3 | 433 | 24 |
| 4 | 1215 | 23 |
| 5 | 2928 | 21 |
| 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 |
| 18.4b | (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c)) | |
| ▶ | 14.4b | (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) c) |
Compiled 137 to 92 computations (32.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (fma.f64 x (*.f64 9 y) b) |
| ✓ | 0.5b | (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) |
| ✓ | 2.0b | (/.f64 (fma.f64 x (*.f64 9 y) b) z) |
| ✓ | 12.2b | (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) c) |
60 calls:
| 6.0ms | (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) c) | x | -inf |
| 6.0ms | (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) c) | c | -inf |
| 6.0ms | (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) c) | c | 0 |
| 5.0ms | (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) c) | b | inf |
| 5.0ms | (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) c) | c | inf |
| 1× | batch-egg-rewrite |
| 334× | prod-diff_binary64 |
| 302× | log1p-udef_binary64 |
| 166× | add-sqr-sqrt_binary64 |
| 155× | add-log-exp_binary64 |
| 155× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 58 |
| 1 | 330 | 58 |
| 2 | 4106 | 58 |
| 1× | node limit |
| 1× | egg-herbie |
| 432× | fma-neg_binary64 |
| 406× | cancel-sign-sub-inv_binary64 |
| 306× | fma-def_binary64 |
| 292× | associate-/l*_binary64 |
| 248× | div-sub_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 4719 |
| 1 | 115 | 4385 |
| 2 | 310 | 4137 |
| 3 | 850 | 3939 |
| 4 | 2093 | 3939 |
| 5 | 4482 | 3939 |
| 1× | node limit |
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 136 | 13 | 149 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 137 | 14 | 151 |
| Status | Error | Program |
| 18.4b | (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c)) | |
| ▶ | 11.1b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z)))) (*.f64 4 (/.f64 (*.f64 a t) c))) |
| 14.7b | (pow.f64 (/.f64 c (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z))) -1) | |
| 33.2b | (/.f64 (fma.f64 x (*.f64 9 (/.f64 y z)) (*.f64 t (*.f64 a -4))) c) | |
| 42.3b | (*.f64 a (*.f64 t (/.f64 -4 c))) | |
| 25.9b | (/.f64 (fma.f64 t (*.f64 a -4) (*.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 9 y) b) z) 2)))) c) | |
| 14.5b | (/.f64 (fma.f64 t (*.f64 a -4) (*.f64 (fma.f64 x (*.f64 9 y) b) (pow.f64 z -1))) c) | |
| 33.9b | (/.f64 (fma.f64 t (*.f64 a -4) (*.f64 9 (/.f64 (*.f64 y x) z))) c) | |
| 28.1b | (/.f64 (fma.f64 x (*.f64 9 y) b) (*.f64 z c)) | |
| 39.9b | (/.f64 (/.f64 b c) z) | |
| 48.5b | (*.f64 (/.f64 x z) (*.f64 9 (/.f64 y c))) | |
| 42.2b | (*.f64 (/.f64 1 (sqrt.f64 c)) (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (sqrt.f64 c))) | |
| 23.5b | (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 b z)) c) | |
| 15.3b | (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 c) 2)) (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (cbrt.f64 c))) |
Compiled 3562 to 2124 computations (40.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z))) |
| ✓ | 5.1b | (/.f64 b (*.f64 c z)) |
| ✓ | 6.2b | (/.f64 (*.f64 a t) c) |
| ✓ | 8.3b | (/.f64 (*.f64 y x) (*.f64 c z)) |
42 calls:
| 6.0ms | (/.f64 (*.f64 y x) (*.f64 c z)) | y | inf |
| 4.0ms | (/.f64 b (*.f64 c z)) | z | -inf |
| 4.0ms | (/.f64 (*.f64 y x) (*.f64 c z)) | c | -inf |
| 4.0ms | (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z))) | x | 0 |
| 3.0ms | (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z))) | y | inf |
| 1× | batch-egg-rewrite |
| 174× | times-frac_binary64 |
| 174× | add-sqr-sqrt_binary64 |
| 163× | egg-rr |
| 162× | add-log-exp_binary64 |
| 162× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 37 |
| 1 | 344 | 37 |
| 1× | node limit |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 160 | 3 | 163 |
| Fresh | 4 | 9 | 13 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 165 | 12 | 177 |
| Status | Error | Program |
| 14.7b | (pow.f64 (/.f64 c (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z))) -1) | |
| 33.2b | (/.f64 (fma.f64 x (*.f64 9 (/.f64 y z)) (*.f64 t (*.f64 a -4))) c) | |
| 42.3b | (*.f64 a (*.f64 t (/.f64 -4 c))) | |
| 25.9b | (/.f64 (fma.f64 t (*.f64 a -4) (*.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 9 y) b) z) 2)))) c) | |
| 18.4b | (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c)) | |
| ▶ | 10.4b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (/.f64 (*.f64 (/.f64 y (/.f64 c x)) 9) z)) (*.f64 4 (/.f64 (*.f64 a t) c))) |
| 14.5b | (/.f64 (fma.f64 t (*.f64 a -4) (*.f64 (fma.f64 x (*.f64 9 y) b) (pow.f64 z -1))) c) | |
| 39.9b | (/.f64 (/.f64 b c) z) | |
| 11.3b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z)))) (*.f64 4 (*.f64 a (/.f64 1 (/.f64 c t))))) | |
| 42.2b | (*.f64 (/.f64 1 (sqrt.f64 c)) (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (sqrt.f64 c))) | |
| 13.1b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (*.f64 9 (*.f64 (/.f64 x c) (/.f64 y z)))) (*.f64 4 (/.f64 (*.f64 a t) c))) | |
| 15.3b | (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 c) 2)) (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (cbrt.f64 c))) |
Compiled 5086 to 1968 computations (61.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 3.8b | (/.f64 y (/.f64 c x)) |
| ✓ | 4.4b | (/.f64 (*.f64 (/.f64 y (/.f64 c x)) 9) z) |
| 5.1b | (/.f64 b (*.f64 c z)) | |
| 6.2b | (/.f64 (*.f64 a t) c) |
21 calls:
| 4.0ms | (/.f64 (*.f64 (/.f64 y (/.f64 c x)) 9) z) | y | inf |
| 3.0ms | (/.f64 (*.f64 (/.f64 y (/.f64 c x)) 9) z) | x | -inf |
| 3.0ms | (/.f64 (*.f64 (/.f64 y (/.f64 c x)) 9) z) | y | 0 |
| 3.0ms | (/.f64 (*.f64 (/.f64 y (/.f64 c x)) 9) z) | y | -inf |
| 3.0ms | (/.f64 (*.f64 (/.f64 y (/.f64 c x)) 9) z) | x | inf |
| 1× | batch-egg-rewrite |
| 653× | log-prod_binary64 |
| 208× | log-div_binary64 |
| 205× | expm1-udef_binary64 |
| 205× | log1p-udef_binary64 |
| 180× | log-pow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 20 |
| 1 | 222 | 20 |
| 2 | 3240 | 20 |
| 1× | node limit |
| 1× | egg-herbie |
| 99× | associate-/l*_binary64 |
| 59× | associate-/l/_binary64 |
| 49× | associate-/r/_binary64 |
| 43× | associate-*l/_binary64 |
| 42× | associate-*r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 876 |
| 1 | 24 | 876 |
| 2 | 71 | 876 |
| 3 | 197 | 876 |
| 4 | 399 | 876 |
| 5 | 503 | 876 |
| 6 | 505 | 876 |
| 1× | saturated |
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 175 | 1 | 176 |
| Fresh | 1 | 10 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 177 | 11 | 188 |
| Status | Error | Program |
| ▶ | 9.7b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (/.f64 (*.f64 (*.f64 x (/.f64 y c)) 9) z)) (*.f64 4 (/.f64 (*.f64 a t) c))) |
| 25.9b | (/.f64 (fma.f64 t (*.f64 a -4) (*.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 9 y) b) z) 2)))) c) | |
| 42.3b | (*.f64 a (*.f64 t (/.f64 -4 c))) | |
| 18.4b | (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c)) | |
| 14.5b | (/.f64 (fma.f64 t (*.f64 a -4) (*.f64 (fma.f64 x (*.f64 9 y) b) (pow.f64 z -1))) c) | |
| 39.9b | (/.f64 (/.f64 b c) z) | |
| 14.7b | (pow.f64 (/.f64 c (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z))) -1) | |
| 11.3b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z)))) (*.f64 4 (*.f64 a (/.f64 1 (/.f64 c t))))) | |
| 42.2b | (*.f64 (/.f64 1 (sqrt.f64 c)) (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (sqrt.f64 c))) | |
| 13.1b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (*.f64 9 (*.f64 (/.f64 x c) (/.f64 y z)))) (*.f64 4 (/.f64 (*.f64 a t) c))) | |
| 15.3b | (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 c) 2)) (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (cbrt.f64 c))) |
Compiled 5538 to 2266 computations (59.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 4.4b | (/.f64 (*.f64 (*.f64 x (/.f64 y c)) 9) z) |
| 5.1b | (/.f64 b (*.f64 c z)) | |
| ✓ | 5.8b | (*.f64 x (/.f64 y c)) |
| 6.2b | (/.f64 (*.f64 a t) c) |
21 calls:
| 5.0ms | (/.f64 (*.f64 (*.f64 x (/.f64 y c)) 9) z) | c | inf |
| 4.0ms | (/.f64 (*.f64 (*.f64 x (/.f64 y c)) 9) z) | x | inf |
| 3.0ms | (/.f64 (*.f64 (*.f64 x (/.f64 y c)) 9) z) | y | 0 |
| 3.0ms | (/.f64 (*.f64 (*.f64 x (/.f64 y c)) 9) z) | x | -inf |
| 3.0ms | (/.f64 (*.f64 (*.f64 x (/.f64 y c)) 9) z) | y | inf |
| 1× | batch-egg-rewrite |
| 617× | log-prod_binary64 |
| 199× | expm1-udef_binary64 |
| 199× | log1p-udef_binary64 |
| 175× | log-pow_binary64 |
| 145× | log-div_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 20 |
| 1 | 216 | 20 |
| 2 | 2989 | 20 |
| 1× | node limit |
| 1× | egg-herbie |
| 95× | associate-/l*_binary64 |
| 53× | associate-/l/_binary64 |
| 48× | associate-/r/_binary64 |
| 43× | associate-*l/_binary64 |
| 42× | associate-*r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 876 |
| 1 | 24 | 876 |
| 2 | 71 | 876 |
| 3 | 197 | 876 |
| 4 | 399 | 876 |
| 5 | 484 | 876 |
| 6 | 486 | 876 |
| 1× | saturated |
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 162 | 0 | 162 |
| Fresh | 0 | 10 | 10 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 162 | 11 | 173 |
| Status | Error | Program |
| ✓ | 9.7b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (/.f64 (*.f64 (*.f64 x (/.f64 y c)) 9) z)) (*.f64 4 (/.f64 (*.f64 a t) c))) |
| 25.9b | (/.f64 (fma.f64 t (*.f64 a -4) (*.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 9 y) b) z) 2)))) c) | |
| 42.3b | (*.f64 a (*.f64 t (/.f64 -4 c))) | |
| 18.4b | (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c)) | |
| 14.5b | (/.f64 (fma.f64 t (*.f64 a -4) (*.f64 (fma.f64 x (*.f64 9 y) b) (pow.f64 z -1))) c) | |
| 39.9b | (/.f64 (/.f64 b c) z) | |
| 14.7b | (pow.f64 (/.f64 c (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z))) -1) | |
| 11.3b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z)))) (*.f64 4 (*.f64 a (/.f64 1 (/.f64 c t))))) | |
| 42.2b | (*.f64 (/.f64 1 (sqrt.f64 c)) (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (sqrt.f64 c))) | |
| 13.1b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (*.f64 9 (*.f64 (/.f64 x c) (/.f64 y z)))) (*.f64 4 (/.f64 (*.f64 a t) c))) | |
| 15.3b | (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 c) 2)) (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (cbrt.f64 c))) |
Compiled 4817 to 1948 computations (59.6% saved)
Total 7.5b remaining (96.5%)
Threshold costs 0b (0%)
Compiled 27474 to 19120 computations (30.4% saved)
| 2× | left-value |
2 calls:
| 0.0ms | (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c)) |
| 0.0ms | (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c)) |
| Iters | Point | Range | ||||
|---|---|---|---|---|---|---|
3.9706581863129266e-58 | ∈ [ | 3.9706581863129266e-58 | , | 2.0265871114643663e-57 | ] | |
-4.698071246624704e+66 | ∈ [ | -4.698071246624704e+66 | , | -3.185907748804655e+63 | ] | |
Compiled 26 to 18 computations (30.8% saved)
| 1× | egg-herbie |
| 28× | *-commutative_binary64 |
| 18× | +-commutative_binary64 |
| 15× | sub-neg_binary64 |
| 14× | distribute-rgt-neg-in_binary64 |
| 13× | distribute-lft-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 158 |
| 1 | 92 | 158 |
| 2 | 124 | 158 |
| 3 | 154 | 158 |
| 4 | 179 | 158 |
| 5 | 190 | 158 |
| 6 | 193 | 158 |
| 1× | saturated |
| 1× | fuel |
Compiled 969 to 593 computations (38.8% saved)
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