Time bar (total: 6.4s)
| 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% | 74.9% | 25.1% | 3 |
| 0% | 74.9% | 25.1% | 4 |
| 0% | 74.9% | 25.1% | 5 |
| 0% | 62.4% | 37.6% | 6 |
| 0% | 31.2% | 68.8% | 7 |
| 0% | 31.2% | 68.8% | 8 |
| 0% | 31.2% | 68.8% | 9 |
| 0% | 28.1% | 71.9% | 10 |
| 4.7% | 21.8% | 73.5% | 11 |
| 4.7% | 21.8% | 73.5% | 12 |
| 7% | 19.5% | 73.5% | 13 |
| 8.2% | 17.5% | 74.3% | 14 |
Compiled 22 to 17 computations (22.7% saved)
| 1.1s | 6219× | body | 128 | valid |
| 435.0ms | 840× | body | 512 | valid |
| 397.0ms | 499× | body | 1024 | valid |
| 212.0ms | 693× | body | 256 | valid |
| 50.0ms | 309× | body | 128 | invalid |
| 5.0ms | 5× | body | 2048 | valid |
Compiled 44 to 34 computations (22.7% saved)
| 2× | egg-herbie |
| 652× | fma-neg_binary64 |
| 494× | +-commutative_binary64 |
| 423× | associate-+l-_binary64 |
| 383× | fma-def_binary64 |
| 283× | associate-+l+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 168 |
| 1 | 111 | 161 |
| 2 | 293 | 161 |
| 3 | 919 | 161 |
| 4 | 2268 | 161 |
| 5 | 4942 | 161 |
| 0 | 4 | 4 |
| 1× | saturated |
| 1× | node limit |
Compiled 21 to 16 computations (23.8% saved)
| 1× | egg-herbie |
| 576× | fma-def_binary64 |
| 542× | fma-neg_binary64 |
| 346× | cancel-sign-sub-inv_binary64 |
| 330× | sub-neg_binary64 |
| 258× | unsub-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 24 |
| 1 | 31 | 23 |
| 2 | 65 | 23 |
| 3 | 167 | 23 |
| 4 | 373 | 23 |
| 5 | 1011 | 23 |
| 6 | 2426 | 23 |
| 7 | 4408 | 23 |
| 8 | 4882 | 23 |
| 1× | node limit |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
| ▶ | 0.1b | (neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (fma.f64 (log.f64 y) (-.f64 1 x) t))) |
Compiled 74 to 53 computations (28.4% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (log1p.f64 (neg.f64 y)) |
| ✓ | 0.0b | (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (fma.f64 (log.f64 y) (-.f64 1 x) t)) |
| ✓ | 0.1b | (fma.f64 (log.f64 y) (-.f64 1 x) t) |
24 calls:
| 28.0ms | (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (fma.f64 (log.f64 y) (-.f64 1 x) t)) | x | 0 |
| 27.0ms | (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (fma.f64 (log.f64 y) (-.f64 1 x) t)) | z | inf |
| 25.0ms | (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (fma.f64 (log.f64 y) (-.f64 1 x) t)) | t | 0 |
| 25.0ms | (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (fma.f64 (log.f64 y) (-.f64 1 x) t)) | z | -inf |
| 24.0ms | (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (fma.f64 (log.f64 y) (-.f64 1 x) t)) | x | inf |
| 1× | batch-egg-rewrite |
| 496× | prod-diff_binary64 |
| 227× | expm1-udef_binary64 |
| 225× | log1p-udef_binary64 |
| 136× | add-sqr-sqrt_binary64 |
| 128× | expm1-log1p-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 36 |
| 1 | 270 | 32 |
| 2 | 3399 | 32 |
| 1× | node limit |
| 1× | egg-herbie |
| 898× | fma-def_binary64 |
| 347× | sub-neg_binary64 |
| 250× | cancel-sign-sub-inv_binary64 |
| 228× | distribute-neg-in_binary64 |
| 224× | associate-+r+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 167 | 2329 |
| 1 | 591 | 2202 |
| 2 | 2274 | 2163 |
| 1× | node limit |
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 128 | 3 | 131 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 128 | 4 | 132 |
| Status | Error | Program |
| 38.5b | (neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (pow.f64 (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) 2))) | |
| ✓ | 0.1b | (neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (fma.f64 (log.f64 y) (-.f64 1 x) t))) |
| 1.2b | (neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (*.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) 2)))) | |
| ▶ | 0.3b | (neg.f64 (+.f64 t (-.f64 (fma.f64 y z (fma.f64 z (*.f64 (*.f64 y y) (+.f64 1/2 (*.f64 1/3 y))) (log.f64 y))) (fma.f64 1/3 (pow.f64 y 3) (fma.f64 y (*.f64 y 1/2) (fma.f64 (log.f64 y) x y)))))) |
Compiled 3278 to 1955 computations (40.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (fma.f64 z (*.f64 (*.f64 y y) (+.f64 1/2 (*.f64 1/3 y))) (log.f64 y)) |
| ✓ | 0.0b | (*.f64 (*.f64 y y) (+.f64 1/2 (*.f64 1/3 y))) |
| ✓ | 0.2b | (fma.f64 (log.f64 y) x y) |
| ✓ | 0.4b | (*.f64 1/3 y) |
18 calls:
| 14.0ms | (fma.f64 z (*.f64 (*.f64 y y) (+.f64 1/2 (*.f64 1/3 y))) (log.f64 y)) | z | -inf |
| 13.0ms | (fma.f64 z (*.f64 (*.f64 y y) (+.f64 1/2 (*.f64 1/3 y))) (log.f64 y)) | z | 0 |
| 11.0ms | (fma.f64 (log.f64 y) x y) | x | inf |
| 11.0ms | (fma.f64 (log.f64 y) x y) | x | -inf |
| 10.0ms | (fma.f64 (log.f64 y) x y) | x | 0 |
| 1× | batch-egg-rewrite |
| 450× | prod-diff_binary64 |
| 243× | expm1-udef_binary64 |
| 243× | log1p-udef_binary64 |
| 139× | add-sqr-sqrt_binary64 |
| 131× | add-log-exp_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 43 |
| 1 | 277 | 39 |
| 2 | 3534 | 39 |
| 1× | node limit |
| 1× | egg-herbie |
| 630× | fma-def_binary64 |
| 579× | cancel-sign-sub-inv_binary64 |
| 324× | distribute-rgt-neg-in_binary64 |
| 290× | distribute-lft-neg-in_binary64 |
| 261× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 812 |
| 1 | 108 | 731 |
| 2 | 263 | 673 |
| 3 | 761 | 617 |
| 4 | 2795 | 617 |
| 1× | node limit |
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 105 | 2 | 107 |
| Fresh | 0 | 2 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 106 | 5 | 111 |
| Status | Error | Program |
| 38.5b | (neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (pow.f64 (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) 2))) | |
| ✓ | 0.1b | (neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (fma.f64 (log.f64 y) (-.f64 1 x) t))) |
| 2.7b | (neg.f64 (+.f64 t (-.f64 (fma.f64 y z (cbrt.f64 (pow.f64 (fma.f64 z (*.f64 (*.f64 y y) (fma.f64 1/3 y 1/2)) (log.f64 y)) 3))) (fma.f64 1/3 (pow.f64 y 3) (fma.f64 y (*.f64 y 1/2) (fma.f64 (log.f64 y) x y)))))) | |
| ▶ | 1.2b | (neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (*.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) 2)))) |
| 27.1b | (neg.f64 (+.f64 t (-.f64 (fma.f64 y z (fma.f64 z (*.f64 (*.f64 y y) (+.f64 1/2 (*.f64 1/3 y))) (log.f64 y))) (fma.f64 1/3 (pow.f64 y 3) (fma.f64 y (*.f64 y 1/2) (pow.f64 (sqrt.f64 (fma.f64 (log.f64 y) x y)) 2)))))) |
Compiled 4481 to 2388 computations (46.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.1b | (fma.f64 (log.f64 y) (-.f64 1 x) t) | |
| ✓ | 0.3b | (*.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) 2)) |
| ✓ | 0.5b | (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) 2) |
| ✓ | 0.6b | (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) |
27 calls:
| 60.0ms | (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) 2) | y | -inf |
| 53.0ms | (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) | y | -inf |
| 43.0ms | (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) 2) | y | inf |
| 36.0ms | (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) | y | inf |
| 35.0ms | (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) | y | 0 |
| 1× | batch-egg-rewrite |
| 905× | log1p-expm1-u_binary64 |
| 905× | expm1-log1p-u_binary64 |
| 196× | prod-diff_binary64 |
| 105× | add-sqr-sqrt_binary64 |
| 99× | add-cbrt-cube_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 37 |
| 1 | 242 | 37 |
| 2 | 2529 | 37 |
| 1× | node limit |
| 1× | egg-herbie |
| 782× | associate-*r*_binary64 |
| 728× | associate-*l*_binary64 |
| 422× | fma-def_binary64 |
| 284× | cancel-sign-sub-inv_binary64 |
| 148× | distribute-rgt-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 124 | 2269 |
| 1 | 401 | 2243 |
| 2 | 1290 | 2231 |
| 1× | node limit |
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 222 | 3 | 225 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 222 | 8 | 230 |
| Status | Error | Program |
| 38.5b | (neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (pow.f64 (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) 2))) | |
| ✓ | 0.1b | (neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (fma.f64 (log.f64 y) (-.f64 1 x) t))) |
| 2.7b | (neg.f64 (+.f64 t (-.f64 (fma.f64 y z (cbrt.f64 (pow.f64 (fma.f64 z (*.f64 (*.f64 y y) (fma.f64 1/3 y 1/2)) (log.f64 y)) 3))) (fma.f64 1/3 (pow.f64 y 3) (fma.f64 y (*.f64 y 1/2) (fma.f64 (log.f64 y) x y)))))) | |
| ▶ | 1.2b | (neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) 3)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) 2)))) |
| ✓ | 1.2b | (neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (*.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) 2)))) |
| 29.8b | (neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (*.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) (cbrt.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t) 2))))) | |
| 16.8b | (neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (*.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) 4)))))) | |
| 27.1b | (neg.f64 (+.f64 t (-.f64 (fma.f64 y z (fma.f64 z (*.f64 (*.f64 y y) (+.f64 1/2 (*.f64 1/3 y))) (log.f64 y))) (fma.f64 1/3 (pow.f64 y 3) (fma.f64 y (*.f64 y 1/2) (pow.f64 (sqrt.f64 (fma.f64 (log.f64 y) x y)) 2)))))) |
Compiled 8689 to 5053 computations (41.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.5b | (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) 2) | |
| ✓ | 0.6b | (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) 3)) |
| 0.6b | (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) | |
| ✓ | 0.8b | (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) 3) |
18 calls:
| 203.0ms | (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) 3) | x | 0 |
| 168.0ms | (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) 3) | t | 0 |
| 58.0ms | (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) 3) | y | -inf |
| 50.0ms | (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) 3)) | y | -inf |
| 42.0ms | (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) 3) | y | inf |
| 1× | batch-egg-rewrite |
| 883× | log1p-expm1-u_binary64 |
| 883× | expm1-log1p-u_binary64 |
| 196× | prod-diff_binary64 |
| 98× | add-sqr-sqrt_binary64 |
| 94× | add-cbrt-cube_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 22 |
| 1 | 234 | 22 |
| 2 | 2407 | 22 |
| 1× | node limit |
| 1× | egg-herbie |
| 754× | fma-neg_binary64 |
| 538× | associate-*r*_binary64 |
| 525× | associate-*l*_binary64 |
| 289× | fma-def_binary64 |
| 190× | *-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 1415 |
| 1 | 292 | 1399 |
| 2 | 892 | 1393 |
| 3 | 4409 | 1352 |
| 1× | node limit |
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 209 | 0 | 209 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 209 | 8 | 217 |
| Status | Error | Program |
| 38.5b | (neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (pow.f64 (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) 2))) | |
| ✓ | 0.1b | (neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (fma.f64 (log.f64 y) (-.f64 1 x) t))) |
| 2.7b | (neg.f64 (+.f64 t (-.f64 (fma.f64 y z (cbrt.f64 (pow.f64 (fma.f64 z (*.f64 (*.f64 y y) (fma.f64 1/3 y 1/2)) (log.f64 y)) 3))) (fma.f64 1/3 (pow.f64 y 3) (fma.f64 y (*.f64 y 1/2) (fma.f64 (log.f64 y) x y)))))) | |
| ✓ | 1.2b | (neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) 3)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) 2)))) |
| ✓ | 1.2b | (neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (*.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) 2)))) |
| 29.8b | (neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (*.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) (cbrt.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t) 2))))) | |
| 16.8b | (neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (*.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) 4)))))) | |
| 27.1b | (neg.f64 (+.f64 t (-.f64 (fma.f64 y z (fma.f64 z (*.f64 (*.f64 y y) (+.f64 1/2 (*.f64 1/3 y))) (log.f64 y))) (fma.f64 1/3 (pow.f64 y 3) (fma.f64 y (*.f64 y 1/2) (pow.f64 (sqrt.f64 (fma.f64 (log.f64 y) x y)) 2)))))) |
Compiled 9443 to 5717 computations (39.5% saved)
Total 0.1b remaining (51%)
Threshold costs 0.1b (51%)
Compiled 16431 to 10944 computations (33.4% saved)
| 1× | egg-herbie |
| 6× | +-commutative_binary64 |
| 6× | sub-neg_binary64 |
| 4× | *-commutative_binary64 |
| 4× | neg-sub0_binary64 |
| 4× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 23 |
| 1 | 25 | 23 |
| 2 | 35 | 23 |
| 3 | 41 | 23 |
| 4 | 43 | 23 |
| 1× | saturated |
| 1× | fuel |
Compiled 302 to 212 computations (29.8% saved)
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