Time bar (total: 7.1s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 12.5% | 87.4% | 0.1% | 7 |
| 18.7% | 81.1% | 0.1% | 8 |
| 26.5% | 72.9% | 0.5% | 9 |
| 38.2% | 60.7% | 1.1% | 10 |
| 41.7% | 54.9% | 3.4% | 11 |
| 47.6% | 47.4% | 5% | 12 |
| 53.4% | 39.4% | 7.2% | 13 |
| 54.9% | 34.5% | 10.6% | 14 |
Compiled 20 to 15 computations (25% saved)
(sort c s)
| 1.1s | 6309× | body | 128 | valid |
| 674.0ms | 988× | body | 1024 | valid |
| 340.0ms | 1949× | body | 128 | invalid |
| 314.0ms | 647× | body | 512 | valid |
| 148.0ms | 225× | body | 1024 | invalid |
| 112.0ms | 312× | body | 256 | valid |
| 97.0ms | 202× | body | 512 | invalid |
| 49.0ms | 159× | body | 256 | invalid |
Compiled 59 to 44 computations (25.4% saved)
| 1× | egg-herbie |
| 750× | unswap-sqr_binary64 |
| 516× | *-commutative_binary64 |
| 376× | associate-/l/_binary64 |
| 309× | sqr-pow_binary64 |
| 243× | fabs-mul_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 24 |
| 1 | 30 | 24 |
| 2 | 72 | 24 |
| 3 | 254 | 24 |
| 4 | 1145 | 24 |
| 5 | 2128 | 24 |
| 6 | 3320 | 24 |
| 7 | 3397 | 24 |
| 8 | 3494 | 24 |
| 9 | 3628 | 24 |
| 10 | 3813 | 24 |
| 11 | 4060 | 24 |
| 12 | 4401 | 24 |
| 13 | 4796 | 24 |
| 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 |
| 28.0b | (/.f64 (cos.f64 (*.f64 2 x)) (*.f64 (pow.f64 c 2) (*.f64 (*.f64 x (pow.f64 s 2)) x))) | |
| ▶ | 2.2b | (/.f64 (cos.f64 (*.f64 2 x)) (*.f64 (*.f64 x (*.f64 c s)) (*.f64 x (*.f64 c s)))) |
Compiled 111 to 69 computations (37.8% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (*.f64 (*.f64 x (*.f64 c s)) (*.f64 x (*.f64 c s))) |
| ✓ | 0.4b | (/.f64 (cos.f64 (*.f64 2 x)) (*.f64 (*.f64 x (*.f64 c s)) (*.f64 x (*.f64 c s)))) |
| ✓ | 4.2b | (*.f64 x (*.f64 c s)) |
3 calls:
| 117.0ms | (/.f64 (cos.f64 (*.f64 2 x)) (*.f64 (*.f64 x (*.f64 c s)) (*.f64 x (*.f64 c s)))) |
| 30.0ms | (*.f64 (*.f64 x (*.f64 c s)) (*.f64 x (*.f64 c s))) |
| 9.0ms | (*.f64 x (*.f64 c s)) |
| 1× | batch-egg-rewrite |
| 699× | log-prod_binary64 |
| 214× | expm1-udef_binary64 |
| 214× | log1p-udef_binary64 |
| 205× | prod-diff_binary64 |
| 193× | log-pow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 35 |
| 1 | 236 | 35 |
| 2 | 3237 | 35 |
| 1× | node limit |
3 calls:
| 54.0ms | (*.f64 (*.f64 x (*.f64 c s)) (*.f64 x (*.f64 c s))) |
| 54.0ms | (/.f64 (cos.f64 (*.f64 2 x)) (*.f64 (*.f64 x (*.f64 c s)) (*.f64 x (*.f64 c s)))) |
| 54.0ms | (*.f64 x (*.f64 c s)) |
| 1× | egg-herbie |
| 866× | associate-/l*_binary64 |
| 440× | associate-/l/_binary64 |
| 361× | cancel-sign-sub-inv_binary64 |
| 334× | unswap-sqr_binary64 |
| 271× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 1776 |
| 1 | 111 | 1774 |
| 2 | 329 | 1774 |
| 3 | 1676 | 1769 |
| 1× | node limit |
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 113 | 11 | 124 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 115 | 11 | 126 |
| Status | Error | Program |
| 15.2b | (*.f64 (/.f64 1 (*.f64 (*.f64 c s) (*.f64 x x))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c s))) | |
| ▶ | 2.0b | (*.f64 (cos.f64 (+.f64 x x)) (pow.f64 (*.f64 x (*.f64 c s)) -2)) |
| 2.3b | (-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 x (*.f64 c s)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 x (*.f64 c s)) 2))) | |
| 13.3b | (/.f64 (cos.f64 (*.f64 x 2)) (*.f64 (*.f64 s x) (*.f64 (*.f64 s x) (*.f64 c c)))) | |
| 3.3b | (/.f64 (cos.f64 (*.f64 2 x)) (*.f64 (*.f64 x (*.f64 c s)) (*.f64 s (*.f64 c x)))) | |
| 3.7b | (/.f64 (cos.f64 (*.f64 2 x)) (*.f64 (*.f64 x (*.f64 c s)) (*.f64 c (*.f64 s x)))) | |
| 23.0b | (sqrt.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) (pow.f64 (*.f64 x (*.f64 c s)) 4))) | |
| 10.6b | (*.f64 (/.f64 1 x) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (pow.f64 (*.f64 c s) 2) x))) | |
| 2.1b | (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 c s))) (/.f64 1 (*.f64 x (*.f64 c s)))) | |
| 2.4b | (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (+.f64 x x)) (pow.f64 (*.f64 x (*.f64 c s)) -2))) 3) | |
| 18.0b | (*.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2)) (*.f64 x x)) (/.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (pow.f64 (*.f64 c s) 2))) |
Compiled 2897 to 1296 computations (55.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (*.f64 (cos.f64 (+.f64 x x)) (pow.f64 (*.f64 x (*.f64 c s)) -2)) |
| ✓ | 0.3b | (pow.f64 (*.f64 x (*.f64 c s)) -2) |
| 4.2b | (*.f64 x (*.f64 c s)) |
2 calls:
| 118.0ms | (*.f64 (cos.f64 (+.f64 x x)) (pow.f64 (*.f64 x (*.f64 c s)) -2)) |
| 32.0ms | (pow.f64 (*.f64 x (*.f64 c s)) -2) |
| 1× | batch-egg-rewrite |
| 505× | prod-diff_binary64 |
| 208× | expm1-udef_binary64 |
| 208× | log1p-udef_binary64 |
| 147× | fma-def_binary64 |
| 124× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 28 |
| 1 | 241 | 28 |
| 2 | 3176 | 28 |
| 1× | node limit |
2 calls:
| 42.0ms | (*.f64 (cos.f64 (+.f64 x x)) (pow.f64 (*.f64 x (*.f64 c s)) -2)) |
| 42.0ms | (pow.f64 (*.f64 x (*.f64 c s)) -2) |
| 1× | egg-herbie |
| 877× | associate-/l*_binary64 |
| 437× | associate-/l/_binary64 |
| 361× | cancel-sign-sub-inv_binary64 |
| 355× | unswap-sqr_binary64 |
| 271× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 1632 |
| 1 | 99 | 1630 |
| 2 | 323 | 1630 |
| 3 | 1826 | 1625 |
| 1× | node limit |
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 66 | 3 | 69 |
| Fresh | 3 | 7 | 10 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 69 | 11 | 80 |
| Status | Error | Program |
| 1.9b | (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 s (*.f64 x c)) -2) (cos.f64 (+.f64 x x)))) 3) | |
| 2.3b | (-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 x (*.f64 c s)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 x (*.f64 c s)) 2))) | |
| 13.3b | (/.f64 (cos.f64 (*.f64 x 2)) (*.f64 (*.f64 s x) (*.f64 (*.f64 s x) (*.f64 c c)))) | |
| 3.3b | (/.f64 (cos.f64 (*.f64 2 x)) (*.f64 (*.f64 x (*.f64 c s)) (*.f64 s (*.f64 c x)))) | |
| 3.7b | (/.f64 (cos.f64 (*.f64 2 x)) (*.f64 (*.f64 x (*.f64 c s)) (*.f64 c (*.f64 s x)))) | |
| 23.0b | (sqrt.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) (pow.f64 (*.f64 x (*.f64 c s)) 4))) | |
| 10.6b | (*.f64 (/.f64 1 x) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (pow.f64 (*.f64 c s) 2) x))) | |
| 20.7b | (*.f64 (cos.f64 (+.f64 x x)) (*.f64 (pow.f64 (*.f64 x c) -2) (pow.f64 s -2))) | |
| ▶ | 1.5b | (*.f64 (cos.f64 (+.f64 x x)) (*.f64 (/.f64 1 (*.f64 s (*.f64 x c))) (/.f64 1 (*.f64 s (*.f64 x c))))) |
| ✓ | 2.0b | (*.f64 (cos.f64 (+.f64 x x)) (pow.f64 (*.f64 x (*.f64 c s)) -2)) |
| 18.0b | (*.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2)) (*.f64 x x)) (/.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (pow.f64 (*.f64 c s) 2))) |
Compiled 1656 to 809 computations (51.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (*.f64 (cos.f64 (+.f64 x x)) (*.f64 (/.f64 1 (*.f64 s (*.f64 x c))) (/.f64 1 (*.f64 s (*.f64 x c))))) |
| ✓ | 0.3b | (*.f64 (/.f64 1 (*.f64 s (*.f64 x c))) (/.f64 1 (*.f64 s (*.f64 x c)))) |
| ✓ | 0.8b | (/.f64 1 (*.f64 s (*.f64 x c))) |
| ✓ | 4.0b | (*.f64 s (*.f64 x c)) |
4 calls:
| 126.0ms | (*.f64 (/.f64 1 (*.f64 s (*.f64 x c))) (/.f64 1 (*.f64 s (*.f64 x c)))) |
| 125.0ms | (*.f64 (cos.f64 (+.f64 x x)) (*.f64 (/.f64 1 (*.f64 s (*.f64 x c))) (/.f64 1 (*.f64 s (*.f64 x c))))) |
| 21.0ms | (/.f64 1 (*.f64 s (*.f64 x c))) |
| 8.0ms | (*.f64 s (*.f64 x c)) |
| 1× | batch-egg-rewrite |
| 517× | prod-diff_binary64 |
| 211× | expm1-udef_binary64 |
| 211× | log1p-udef_binary64 |
| 129× | add-sqr-sqrt_binary64 |
| 120× | add-cbrt-cube_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 51 |
| 1 | 258 | 45 |
| 2 | 3543 | 45 |
| 1× | node limit |
4 calls:
| 53.0ms | (*.f64 (cos.f64 (+.f64 x x)) (*.f64 (/.f64 1 (*.f64 s (*.f64 x c))) (/.f64 1 (*.f64 s (*.f64 x c))))) |
| 53.0ms | (*.f64 (/.f64 1 (*.f64 s (*.f64 x c))) (/.f64 1 (*.f64 s (*.f64 x c)))) |
| 53.0ms | (/.f64 1 (*.f64 s (*.f64 x c))) |
| 53.0ms | (*.f64 s (*.f64 x c)) |
| 1× | egg-herbie |
| 868× | associate-/l*_binary64 |
| 472× | associate-/l/_binary64 |
| 361× | cancel-sign-sub-inv_binary64 |
| 334× | unswap-sqr_binary64 |
| 271× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 2244 |
| 1 | 117 | 2242 |
| 2 | 350 | 2242 |
| 3 | 1708 | 2237 |
| 1× | node limit |
11 alts after pruning (9 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 194 | 3 | 197 |
| Fresh | 3 | 6 | 9 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 197 | 11 | 208 |
| Status | Error | Program |
| 23.0b | (sqrt.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) (pow.f64 (*.f64 x (*.f64 c s)) 4))) | |
| 3.0b | (/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) -1) (*.f64 s (neg.f64 (*.f64 x c)))) | |
| ▶ | 2.3b | (-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 x (*.f64 c s)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 x (*.f64 c s)) 2))) |
| 13.3b | (/.f64 (cos.f64 (*.f64 x 2)) (*.f64 (*.f64 s x) (*.f64 (*.f64 s x) (*.f64 c c)))) | |
| 6.5b | (*.f64 (cos.f64 (+.f64 x x)) (/.f64 (/.f64 1 s) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 x c)))) | |
| 16.4b | (*.f64 (cos.f64 (+.f64 x x)) (/.f64 (/.f64 1 s) (*.f64 (*.f64 s x) (*.f64 x (*.f64 c c))))) | |
| 3.7b | (/.f64 (cos.f64 (*.f64 2 x)) (*.f64 (*.f64 x (*.f64 c s)) (*.f64 c (*.f64 s x)))) | |
| 10.6b | (*.f64 (/.f64 1 x) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (pow.f64 (*.f64 c s) 2) x))) | |
| 20.7b | (*.f64 (cos.f64 (+.f64 x x)) (*.f64 (pow.f64 (*.f64 x c) -2) (pow.f64 s -2))) | |
| ✓ | 1.5b | (*.f64 (cos.f64 (+.f64 x x)) (*.f64 (/.f64 1 (*.f64 s (*.f64 x c))) (/.f64 1 (*.f64 s (*.f64 x c))))) |
| ✓ | 2.0b | (*.f64 (cos.f64 (+.f64 x x)) (pow.f64 (*.f64 x (*.f64 c s)) -2)) |
Compiled 4709 to 1872 computations (60.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (pow.f64 (sin.f64 x) 2) |
| ✓ | 0.4b | (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 x (*.f64 c s)) 2)) |
| ✓ | 2.3b | (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 x (*.f64 c s)) 2)) |
| 4.2b | (*.f64 x (*.f64 c s)) |
3 calls:
| 124.0ms | (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 x (*.f64 c s)) 2)) |
| 122.0ms | (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 x (*.f64 c s)) 2)) |
| 3.0ms | (pow.f64 (sin.f64 x) 2) |
| 1× | batch-egg-rewrite |
| 246× | expm1-udef_binary64 |
| 246× | log1p-udef_binary64 |
| 232× | log-pow_binary64 |
| 140× | add-sqr-sqrt_binary64 |
| 136× | log1p-expm1-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 42 |
| 1 | 295 | 36 |
| 2 | 3735 | 36 |
| 1× | node limit |
3 calls:
| 54.0ms | (pow.f64 (sin.f64 x) 2) |
| 54.0ms | (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 x (*.f64 c s)) 2)) |
| 54.0ms | (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 x (*.f64 c s)) 2)) |
| 1× | egg-herbie |
| 513× | fma-neg_binary64 |
| 504× | unswap-sqr_binary64 |
| 473× | times-frac_binary64 |
| 397× | associate-/r*_binary64 |
| 217× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 1950 |
| 1 | 196 | 1946 |
| 2 | 660 | 1940 |
| 3 | 3945 | 1940 |
| 1× | node limit |
11 alts after pruning (8 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 168 | 0 | 168 |
| Fresh | 0 | 8 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 168 | 11 | 179 |
| Status | Error | Program |
| 23.0b | (sqrt.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) (pow.f64 (*.f64 x (*.f64 c s)) 4))) | |
| 3.0b | (/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) -1) (*.f64 s (neg.f64 (*.f64 x c)))) | |
| ✓ | 2.3b | (-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 x (*.f64 c s)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 x (*.f64 c s)) 2))) |
| 13.3b | (/.f64 (cos.f64 (*.f64 x 2)) (*.f64 (*.f64 s x) (*.f64 (*.f64 s x) (*.f64 c c)))) | |
| 6.5b | (*.f64 (cos.f64 (+.f64 x x)) (/.f64 (/.f64 1 s) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 x c)))) | |
| 16.4b | (*.f64 (cos.f64 (+.f64 x x)) (/.f64 (/.f64 1 s) (*.f64 (*.f64 s x) (*.f64 x (*.f64 c c))))) | |
| 3.7b | (/.f64 (cos.f64 (*.f64 2 x)) (*.f64 (*.f64 x (*.f64 c s)) (*.f64 c (*.f64 s x)))) | |
| 10.6b | (*.f64 (/.f64 1 x) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (pow.f64 (*.f64 c s) 2) x))) | |
| 20.7b | (*.f64 (cos.f64 (+.f64 x x)) (*.f64 (pow.f64 (*.f64 x c) -2) (pow.f64 s -2))) | |
| ✓ | 1.5b | (*.f64 (cos.f64 (+.f64 x x)) (*.f64 (/.f64 1 (*.f64 s (*.f64 x c))) (/.f64 1 (*.f64 s (*.f64 x c))))) |
| ✓ | 2.0b | (*.f64 (cos.f64 (+.f64 x x)) (pow.f64 (*.f64 x (*.f64 c s)) -2)) |
Compiled 5337 to 2531 computations (52.6% saved)
Total 1.9b remaining (97.7%)
Threshold costs 0b (0%)
Compiled 10860 to 7184 computations (33.8% saved)
Compiled 19 to 14 computations (26.3% saved)
| 1× | egg-herbie |
| 20× | *-commutative_binary64 |
| 8× | +-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 8× | neg-sub0_binary64 |
| 7× | neg-mul-1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 76 |
| 1 | 53 | 75 |
| 2 | 69 | 75 |
| 3 | 84 | 75 |
| 4 | 94 | 75 |
| 5 | 100 | 75 |
| 6 | 102 | 75 |
| 1× | saturated |
Compiled 430 to 270 computations (37.2% saved)
Loading profile data...