
Time bar (total: 5.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 0% | 0% | 75% | 0% | 0% | 25% | 0% | 3 |
| 40% | 25% | 37.5% | 0% | 0% | 37.5% | 0% | 4 |
| 66.7% | 37.5% | 18.7% | 0% | 0% | 43.7% | 0% | 5 |
| 82.4% | 43.7% | 9.4% | 0% | 0% | 46.9% | 0% | 6 |
| 90.9% | 46.9% | 4.7% | 0% | 0% | 48.4% | 0% | 7 |
| 95.4% | 48.4% | 2.3% | 0% | 0% | 49.2% | 0% | 8 |
| 97.7% | 49.2% | 1.2% | 0% | 0% | 49.6% | 0% | 9 |
| 98.8% | 49.6% | 0.6% | 0% | 0% | 49.8% | 0% | 10 |
| 99.4% | 49.8% | 0.3% | 0% | 0% | 49.9% | 0% | 11 |
| 99.7% | 49.9% | 0.1% | 0% | 0% | 49.9% | 0% | 12 |
Compiled 10 to 8 computations (20% saved)
| 1.6s | 4187× | body | 1024 | valid |
| 557.0ms | 2050× | body | 512 | valid |
| 238.0ms | 1607× | body | 256 | valid |
| 212.0ms | 412× | body | 2048 | valid |
| 1.0ms | 14× | body | 256 | invalid |
| 1× | egg-herbie |
| 8722× | fma-def |
| 1220× | unsub-neg |
| 1030× | fma-neg |
| 668× | associate-+r+ |
| 656× | distribute-rgt-in |
| 254× | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 2× | No Errors |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 73 |
| 1 | 37 | 57 |
| 2 | 70 | 57 |
| 3 | 148 | 57 |
| 4 | 377 | 57 |
| 5 | 984 | 57 |
| 6 | 1861 | 57 |
| 7 | 2532 | 57 |
| 8 | 3523 | 57 |
| 9 | 4766 | 57 |
| 10 | 5322 | 57 |
| 11 | 5483 | 57 |
| 12 | 5658 | 57 |
| 13 | 6107 | 57 |
| 14 | 7004 | 57 |
| 15 | 7072 | 57 |
| 16 | 7104 | 57 |
| 17 | 7124 | 57 |
| 18 | 7216 | 57 |
| 19 | 7357 | 57 |
| 20 | 7477 | 57 |
| 21 | 7477 | 57 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
(log.f64 (/.f64 (-.f64 1 (neg.f64 eps)) (+.f64 1 (neg.f64 eps)))) |
| Outputs |
|---|
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(log.f64 (/.f64 (-.f64 1 (neg.f64 eps)) (+.f64 1 (neg.f64 eps)))) |
(log.f64 (/.f64 (-.f64 1 (neg.f64 eps)) (-.f64 1 eps))) |
(-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))) |
Compiled 34 to 25 computations (26.5% saved)
Compiled 7 to 5 computations (28.6% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
| ▶ | 8.8% | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| ▶ | 100.0% | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
| ▶ | 8.8% | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
Compiled 32 to 24 computations (25% saved)
Found 4 expressions with local error:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
| ✓ | 100.0% | (log1p.f64 (neg.f64 eps)) |
| ✓ | 100.0% | (/.f64 (-.f64 1 eps) (+.f64 1 eps)) |
| ✓ | 8.9% | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
Compiled 39 to 22 computations (43.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | 0 | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 1.0ms | eps | @ | 0 | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
| 0.0ms | eps | @ | inf | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 0.0ms | eps | @ | 0 | (log1p.f64 (neg.f64 eps)) |
| 0.0ms | eps | @ | -inf | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 1× | batch-egg-rewrite |
| 1534× | prod-diff |
| 920× | log-prod |
| 676× | fma-def |
| 448× | pow-prod-up |
| 412× | pow-exp |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 66 |
| 1 | 279 | 54 |
| 2 | 3805 | 8 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
(/.f64 (-.f64 1 eps) (+.f64 1 eps)) |
(log1p.f64 (neg.f64 eps)) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
| Outputs |
|---|
0 |
1 |
(+.f64 (log1p.f64 eps) 0) |
(+.f64 0 (log1p.f64 eps)) |
(+.f64 (log1p.f64 (pow.f64 eps 3)) (log.f64 (/.f64 1 (+.f64 1 (fma.f64 eps eps eps))))) |
(+.f64 (log1p.f64 (*.f64 eps eps)) (neg.f64 (log1p.f64 eps))) |
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 eps))) (*.f64 1/3 (log1p.f64 eps))) |
(+.f64 (*.f64 1/2 (log1p.f64 eps)) (*.f64 1/2 (log1p.f64 eps))) |
(+.f64 (*.f64 1/3 (log1p.f64 eps)) (*.f64 2 (*.f64 1/3 (log1p.f64 eps)))) |
(+.f64 (log.f64 (/.f64 (+.f64 1 (*.f64 eps eps)) (+.f64 1 (pow.f64 eps 3)))) (log1p.f64 (fma.f64 eps eps eps))) |
(+.f64 (log.f64 (/.f64 (+.f64 1 (*.f64 eps eps)) (+.f64 1 (*.f64 eps eps)))) (log1p.f64 eps)) |
(-.f64 0 (log.f64 (/.f64 (+.f64 1 eps) (+.f64 1 (*.f64 eps eps))))) |
(-.f64 0 (log.f64 (/.f64 (+.f64 1 (fma.f64 eps eps eps)) (+.f64 1 (pow.f64 eps 3))))) |
(-.f64 (log1p.f64 (pow.f64 eps 3)) (log1p.f64 (fma.f64 eps eps eps))) |
(-.f64 (log1p.f64 (pow.f64 eps 3)) (log.f64 (fma.f64 eps eps (+.f64 1 eps)))) |
(-.f64 (log1p.f64 (*.f64 eps eps)) (log1p.f64 eps)) |
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 eps))) 1) |
(-.f64 (log.f64 (neg.f64 (+.f64 1 (*.f64 eps eps)))) (log.f64 (+.f64 eps -1))) |
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 eps 3)))) (log.f64 (neg.f64 (+.f64 1 (fma.f64 eps eps eps))))) |
(-.f64 (log.f64 (fma.f64 eps eps -1)) (log.f64 (+.f64 eps -1))) |
(-.f64 (log.f64 (/.f64 (+.f64 1 (*.f64 eps eps)) 1)) (log1p.f64 eps)) |
(-.f64 (log.f64 (/.f64 (+.f64 1 (*.f64 eps eps)) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))) (*.f64 1/3 (log1p.f64 eps))) |
(-.f64 (log.f64 (/.f64 (+.f64 1 (*.f64 eps eps)) (hypot.f64 1 (sqrt.f64 eps)))) (*.f64 1/2 (log1p.f64 eps))) |
(*.f64 1 (log1p.f64 eps)) |
(*.f64 (log1p.f64 eps) 1) |
(*.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps))) |
(*.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) |
(*.f64 3 (*.f64 1/3 (log1p.f64 eps))) |
(*.f64 2 (*.f64 1/2 (log1p.f64 eps))) |
(*.f64 1/3 (*.f64 3 (log1p.f64 eps))) |
(pow.f64 (log1p.f64 eps) 1) |
(pow.f64 (cbrt.f64 (log1p.f64 eps)) 3) |
(pow.f64 (pow.f64 (log1p.f64 eps) 3) 1/3) |
(pow.f64 (sqrt.f64 (log1p.f64 eps)) 2) |
(neg.f64 (log.f64 (/.f64 (+.f64 1 eps) (+.f64 1 (*.f64 eps eps))))) |
(neg.f64 (log.f64 (/.f64 (+.f64 1 (fma.f64 eps eps eps)) (+.f64 1 (pow.f64 eps 3))))) |
(sqrt.f64 (pow.f64 (log1p.f64 eps) 2)) |
(log.f64 (+.f64 1 eps)) |
(cbrt.f64 (pow.f64 (log1p.f64 eps) 3)) |
(expm1.f64 (log1p.f64 (log1p.f64 eps))) |
(exp.f64 (log.f64 (log1p.f64 eps))) |
(exp.f64 (*.f64 (log.f64 (log1p.f64 eps)) 1)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 eps)) 1) 1)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 eps))) 3)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 eps))) 1/3)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 eps)) 3) 1/3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 eps))) 2)) |
0 |
| 1× | egg-herbie |
| 844× | cancel-sign-sub-inv |
| 818× | associate-+r+ |
| 800× | associate-+l+ |
| 538× | associate--r+ |
| 530× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 208 | 2117 |
| 1 | 523 | 1985 |
| 2 | 2061 | 1967 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -2 eps) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2/5 (pow.f64 eps 5)))) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/7 (pow.f64 eps 7))))) |
(log.f64 -1) |
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))) |
(log.f64 -1) |
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))) |
1 |
(+.f64 1 (*.f64 -2 eps)) |
(+.f64 1 (+.f64 (*.f64 -2 eps) (*.f64 2 (pow.f64 eps 2)))) |
(+.f64 1 (+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2 (pow.f64 eps 3)) (*.f64 2 (pow.f64 eps 2))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 eps)) 1) |
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 eps)) 1) |
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))) |
(*.f64 -1 eps) |
(+.f64 (*.f64 -1 eps) (*.f64 -1/2 (pow.f64 eps 2))) |
(+.f64 (*.f64 -1 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/3 (pow.f64 eps 3)))) |
(+.f64 (*.f64 -1 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/3 (pow.f64 eps 3)) (*.f64 -1/4 (pow.f64 eps 4))))) |
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))) (/.f64 1 eps)) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 eps 2))) (/.f64 1 eps))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 eps 2))) (/.f64 1 eps)))) |
(*.f64 -1 (log.f64 (/.f64 -1 eps))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (/.f64 1 eps)) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 eps 2))) (/.f64 1 eps))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 eps 2))) (/.f64 1 eps)))) |
(*.f64 -2 eps) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2/5 (pow.f64 eps 5)))) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/7 (pow.f64 eps 7))))) |
(log.f64 -1) |
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))) |
(*.f64 -1 (log.f64 -1)) |
(-.f64 (*.f64 -1 (log.f64 -1)) (*.f64 2 (/.f64 1 eps))) |
(-.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))) |
(-.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))) |
0 |
1 |
(+.f64 (log1p.f64 eps) 0) |
(+.f64 0 (log1p.f64 eps)) |
(+.f64 (log1p.f64 (pow.f64 eps 3)) (log.f64 (/.f64 1 (+.f64 1 (fma.f64 eps eps eps))))) |
(+.f64 (log1p.f64 (*.f64 eps eps)) (neg.f64 (log1p.f64 eps))) |
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 eps))) (*.f64 1/3 (log1p.f64 eps))) |
(+.f64 (*.f64 1/2 (log1p.f64 eps)) (*.f64 1/2 (log1p.f64 eps))) |
(+.f64 (*.f64 1/3 (log1p.f64 eps)) (*.f64 2 (*.f64 1/3 (log1p.f64 eps)))) |
(+.f64 (log.f64 (/.f64 (+.f64 1 (*.f64 eps eps)) (+.f64 1 (pow.f64 eps 3)))) (log1p.f64 (fma.f64 eps eps eps))) |
(+.f64 (log.f64 (/.f64 (+.f64 1 (*.f64 eps eps)) (+.f64 1 (*.f64 eps eps)))) (log1p.f64 eps)) |
(-.f64 0 (log.f64 (/.f64 (+.f64 1 eps) (+.f64 1 (*.f64 eps eps))))) |
(-.f64 0 (log.f64 (/.f64 (+.f64 1 (fma.f64 eps eps eps)) (+.f64 1 (pow.f64 eps 3))))) |
(-.f64 (log1p.f64 (pow.f64 eps 3)) (log1p.f64 (fma.f64 eps eps eps))) |
(-.f64 (log1p.f64 (pow.f64 eps 3)) (log.f64 (fma.f64 eps eps (+.f64 1 eps)))) |
(-.f64 (log1p.f64 (*.f64 eps eps)) (log1p.f64 eps)) |
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 eps))) 1) |
(-.f64 (log.f64 (neg.f64 (+.f64 1 (*.f64 eps eps)))) (log.f64 (+.f64 eps -1))) |
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 eps 3)))) (log.f64 (neg.f64 (+.f64 1 (fma.f64 eps eps eps))))) |
(-.f64 (log.f64 (fma.f64 eps eps -1)) (log.f64 (+.f64 eps -1))) |
(-.f64 (log.f64 (/.f64 (+.f64 1 (*.f64 eps eps)) 1)) (log1p.f64 eps)) |
(-.f64 (log.f64 (/.f64 (+.f64 1 (*.f64 eps eps)) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))) (*.f64 1/3 (log1p.f64 eps))) |
(-.f64 (log.f64 (/.f64 (+.f64 1 (*.f64 eps eps)) (hypot.f64 1 (sqrt.f64 eps)))) (*.f64 1/2 (log1p.f64 eps))) |
(*.f64 1 (log1p.f64 eps)) |
(*.f64 (log1p.f64 eps) 1) |
(*.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps))) |
(*.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) |
(*.f64 3 (*.f64 1/3 (log1p.f64 eps))) |
(*.f64 2 (*.f64 1/2 (log1p.f64 eps))) |
(*.f64 1/3 (*.f64 3 (log1p.f64 eps))) |
(pow.f64 (log1p.f64 eps) 1) |
(pow.f64 (cbrt.f64 (log1p.f64 eps)) 3) |
(pow.f64 (pow.f64 (log1p.f64 eps) 3) 1/3) |
(pow.f64 (sqrt.f64 (log1p.f64 eps)) 2) |
(neg.f64 (log.f64 (/.f64 (+.f64 1 eps) (+.f64 1 (*.f64 eps eps))))) |
(neg.f64 (log.f64 (/.f64 (+.f64 1 (fma.f64 eps eps eps)) (+.f64 1 (pow.f64 eps 3))))) |
(sqrt.f64 (pow.f64 (log1p.f64 eps) 2)) |
(log.f64 (+.f64 1 eps)) |
(cbrt.f64 (pow.f64 (log1p.f64 eps) 3)) |
(expm1.f64 (log1p.f64 (log1p.f64 eps))) |
(exp.f64 (log.f64 (log1p.f64 eps))) |
(exp.f64 (*.f64 (log.f64 (log1p.f64 eps)) 1)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 eps)) 1) 1)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 eps))) 3)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 eps))) 1/3)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 eps)) 3) 1/3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 eps))) 2)) |
0 |
| Outputs |
|---|
(*.f64 -2 eps) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3))) |
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps)) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2/5 (pow.f64 eps 5)))) |
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/7 (pow.f64 eps 7))))) |
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7))))) |
(log.f64 -1) |
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps))) |
(-.f64 (log.f64 -1) (/.f64 2 eps)) |
(+.f64 (log.f64 -1) (/.f64 -2 eps)) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))) |
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3)))) |
(-.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3))) |
(+.f64 (/.f64 -2 eps) (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3)))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))) |
(-.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 2/5 (pow.f64 eps 5)))) |
(-.f64 (-.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 2/5 (pow.f64 eps 5))) |
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (-.f64 (/.f64 -2 eps) (/.f64 2/5 (pow.f64 eps 5)))) |
(log.f64 -1) |
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps))) |
(-.f64 (log.f64 -1) (/.f64 2 eps)) |
(+.f64 (log.f64 -1) (/.f64 -2 eps)) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))) |
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3)))) |
(-.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3))) |
(+.f64 (/.f64 -2 eps) (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3)))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))) |
(-.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 2/5 (pow.f64 eps 5)))) |
(-.f64 (-.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 2/5 (pow.f64 eps 5))) |
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (-.f64 (/.f64 -2 eps) (/.f64 2/5 (pow.f64 eps 5)))) |
1 |
(+.f64 1 (*.f64 -2 eps)) |
(+.f64 (*.f64 -2 eps) 1) |
(fma.f64 -2 eps 1) |
(+.f64 1 (+.f64 (*.f64 -2 eps) (*.f64 2 (pow.f64 eps 2)))) |
(+.f64 1 (fma.f64 -2 eps (*.f64 2 (*.f64 eps eps)))) |
(+.f64 (fma.f64 -2 eps 1) (*.f64 eps (*.f64 eps 2))) |
(+.f64 1 (*.f64 eps (+.f64 -2 (*.f64 eps 2)))) |
(+.f64 1 (+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2 (pow.f64 eps 3)) (*.f64 2 (pow.f64 eps 2))))) |
(+.f64 1 (fma.f64 -2 eps (fma.f64 -2 (pow.f64 eps 3) (*.f64 2 (*.f64 eps eps))))) |
(+.f64 (fma.f64 -2 eps 1) (fma.f64 -2 (pow.f64 eps 3) (*.f64 eps (*.f64 eps 2)))) |
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-1 |
(-.f64 (*.f64 2 (/.f64 1 eps)) 1) |
(+.f64 (/.f64 2 eps) -1) |
(+.f64 -1 (/.f64 2 eps)) |
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))) |
(-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps)))) |
(+.f64 (/.f64 2 eps) (-.f64 -1 (/.f64 2 (*.f64 eps eps)))) |
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(-.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))) |
(-.f64 (+.f64 (/.f64 2 eps) (/.f64 2 (pow.f64 eps 3))) (+.f64 1 (/.f64 2 (*.f64 eps eps)))) |
(+.f64 (/.f64 2 eps) (-.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 1 (/.f64 2 (*.f64 eps eps))))) |
(-.f64 (+.f64 (/.f64 2 (pow.f64 eps 3)) -1) (-.f64 (/.f64 (/.f64 2 eps) eps) (/.f64 2 eps))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 eps)) 1) |
(+.f64 (/.f64 2 eps) -1) |
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(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))) |
(-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps)))) |
(+.f64 (/.f64 2 eps) (-.f64 -1 (/.f64 2 (*.f64 eps eps)))) |
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(-.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))) |
(-.f64 (+.f64 (/.f64 2 eps) (/.f64 2 (pow.f64 eps 3))) (+.f64 1 (/.f64 2 (*.f64 eps eps)))) |
(+.f64 (/.f64 2 eps) (-.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 1 (/.f64 2 (*.f64 eps eps))))) |
(-.f64 (+.f64 (/.f64 2 (pow.f64 eps 3)) -1) (-.f64 (/.f64 (/.f64 2 eps) eps) (/.f64 2 eps))) |
(*.f64 -1 eps) |
(neg.f64 eps) |
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(fma.f64 -1 eps (*.f64 (*.f64 eps eps) -1/2)) |
(-.f64 (*.f64 eps (*.f64 eps -1/2)) eps) |
(+.f64 (*.f64 -1 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/3 (pow.f64 eps 3)))) |
(fma.f64 -1 eps (fma.f64 -1/2 (*.f64 eps eps) (*.f64 (pow.f64 eps 3) -1/3))) |
(-.f64 (fma.f64 (pow.f64 eps 3) -1/3 (*.f64 eps (*.f64 eps -1/2))) eps) |
(-.f64 (*.f64 (*.f64 eps eps) (+.f64 -1/2 (*.f64 eps -1/3))) eps) |
(+.f64 (*.f64 -1 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/3 (pow.f64 eps 3)) (*.f64 -1/4 (pow.f64 eps 4))))) |
(fma.f64 -1 eps (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/3 (pow.f64 eps 3) (*.f64 -1/4 (pow.f64 eps 4))))) |
(-.f64 (fma.f64 (*.f64 eps eps) -1/2 (fma.f64 -1/4 (pow.f64 eps 4) (*.f64 (pow.f64 eps 3) -1/3))) eps) |
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(+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 eps)))) |
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(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))) (/.f64 1 eps)) |
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (neg.f64 (log.f64 eps))) (/.f64 1 eps))) |
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(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 eps 2))) (/.f64 1 eps))) |
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (neg.f64 (log.f64 eps))) (+.f64 (/.f64 1 eps) (/.f64 1/2 (*.f64 eps eps))))) |
(+.f64 (log.f64 -1) (-.f64 (log.f64 eps) (+.f64 (/.f64 1 eps) (/.f64 1/2 (*.f64 eps eps))))) |
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(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 eps 2))) (/.f64 1 eps)))) |
(-.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 eps)))) (+.f64 (+.f64 (/.f64 1 eps) (/.f64 1/2 (*.f64 eps eps))) (/.f64 1/3 (pow.f64 eps 3)))) |
(+.f64 (log.f64 -1) (-.f64 (-.f64 (log.f64 eps) (+.f64 (/.f64 1 eps) (/.f64 1/2 (*.f64 eps eps)))) (/.f64 1/3 (pow.f64 eps 3)))) |
(+.f64 (log.f64 -1) (+.f64 (log.f64 eps) (+.f64 (+.f64 (/.f64 -1 eps) (/.f64 -1/2 (*.f64 eps eps))) (/.f64 -1/3 (pow.f64 eps 3))))) |
(*.f64 -1 (log.f64 (/.f64 -1 eps))) |
(neg.f64 (log.f64 (/.f64 -1 eps))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (/.f64 1 eps)) |
(-.f64 (neg.f64 (log.f64 (/.f64 -1 eps))) (/.f64 1 eps)) |
(fma.f64 -1 (log.f64 (/.f64 -1 eps)) (/.f64 -1 eps)) |
(-.f64 (/.f64 -1 eps) (log.f64 (/.f64 -1 eps))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 eps 2))) (/.f64 1 eps))) |
(-.f64 (neg.f64 (log.f64 (/.f64 -1 eps))) (+.f64 (/.f64 1 eps) (/.f64 1/2 (*.f64 eps eps)))) |
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 eps)) (/.f64 -1 eps)) (/.f64 1/2 (*.f64 eps eps))) |
(+.f64 (-.f64 (/.f64 -1 eps) (log.f64 (/.f64 -1 eps))) (/.f64 -1/2 (*.f64 eps eps))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 eps 2))) (/.f64 1 eps)))) |
(-.f64 (neg.f64 (log.f64 (/.f64 -1 eps))) (+.f64 (+.f64 (/.f64 1 eps) (/.f64 1/2 (*.f64 eps eps))) (/.f64 1/3 (pow.f64 eps 3)))) |
(-.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 eps)) (/.f64 -1 eps)) (/.f64 1/2 (*.f64 eps eps))) (/.f64 1/3 (pow.f64 eps 3))) |
(+.f64 (+.f64 (-.f64 (/.f64 -1 eps) (log.f64 (/.f64 -1 eps))) (/.f64 -1/2 (*.f64 eps eps))) (/.f64 -1/3 (pow.f64 eps 3))) |
(*.f64 -2 eps) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3))) |
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps)) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2/5 (pow.f64 eps 5)))) |
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/7 (pow.f64 eps 7))))) |
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7))))) |
(log.f64 -1) |
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps))) |
(-.f64 (log.f64 -1) (/.f64 2 eps)) |
(+.f64 (log.f64 -1) (/.f64 -2 eps)) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))) |
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3)))) |
(-.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3))) |
(+.f64 (/.f64 -2 eps) (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3)))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))) |
(-.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 2/5 (pow.f64 eps 5)))) |
(-.f64 (-.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 2/5 (pow.f64 eps 5))) |
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (-.f64 (/.f64 -2 eps) (/.f64 2/5 (pow.f64 eps 5)))) |
(*.f64 -1 (log.f64 -1)) |
(neg.f64 (log.f64 -1)) |
(-.f64 (*.f64 -1 (log.f64 -1)) (*.f64 2 (/.f64 1 eps))) |
(-.f64 (neg.f64 (log.f64 -1)) (/.f64 2 eps)) |
(fma.f64 -1 (log.f64 -1) (/.f64 -2 eps)) |
(-.f64 (/.f64 -2 eps) (log.f64 -1)) |
(-.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))) |
(-.f64 (neg.f64 (log.f64 -1)) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3)))) |
(-.f64 (fma.f64 -1 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3))) |
(+.f64 (-.f64 (/.f64 -2 eps) (log.f64 -1)) (/.f64 -2/3 (pow.f64 eps 3))) |
(-.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))) |
(-.f64 (neg.f64 (log.f64 -1)) (+.f64 (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 2/5 (pow.f64 eps 5)))) |
(-.f64 (-.f64 (fma.f64 -1 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 2/5 (pow.f64 eps 5))) |
(+.f64 (+.f64 (-.f64 (/.f64 -2 eps) (log.f64 -1)) (/.f64 -2/3 (pow.f64 eps 3))) (/.f64 -2/5 (pow.f64 eps 5))) |
0 |
1 |
(+.f64 (log1p.f64 eps) 0) |
(log1p.f64 eps) |
(+.f64 0 (log1p.f64 eps)) |
(log1p.f64 eps) |
(+.f64 (log1p.f64 (pow.f64 eps 3)) (log.f64 (/.f64 1 (+.f64 1 (fma.f64 eps eps eps))))) |
(+.f64 (log1p.f64 (pow.f64 eps 3)) (neg.f64 (log.f64 (+.f64 1 (fma.f64 eps eps eps))))) |
(-.f64 (log1p.f64 (pow.f64 eps 3)) (log1p.f64 (fma.f64 eps eps eps))) |
(+.f64 (log1p.f64 (*.f64 eps eps)) (neg.f64 (log1p.f64 eps))) |
(-.f64 (log1p.f64 (*.f64 eps eps)) (log1p.f64 eps)) |
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 eps))) (*.f64 1/3 (log1p.f64 eps))) |
(log1p.f64 eps) |
(+.f64 (*.f64 1/2 (log1p.f64 eps)) (*.f64 1/2 (log1p.f64 eps))) |
(log1p.f64 eps) |
(+.f64 (*.f64 1/3 (log1p.f64 eps)) (*.f64 2 (*.f64 1/3 (log1p.f64 eps)))) |
(log1p.f64 eps) |
(+.f64 (log.f64 (/.f64 (+.f64 1 (*.f64 eps eps)) (+.f64 1 (pow.f64 eps 3)))) (log1p.f64 (fma.f64 eps eps eps))) |
(+.f64 (log.f64 (/.f64 (+.f64 1 (*.f64 eps eps)) (+.f64 (pow.f64 eps 3) 1))) (log1p.f64 (fma.f64 eps eps eps))) |
(-.f64 (+.f64 (log1p.f64 (fma.f64 eps eps eps)) (log1p.f64 (*.f64 eps eps))) (log1p.f64 (pow.f64 eps 3))) |
(+.f64 (-.f64 (log1p.f64 (*.f64 eps eps)) (log1p.f64 (pow.f64 eps 3))) (log1p.f64 (fma.f64 eps eps eps))) |
(+.f64 (log.f64 (/.f64 (+.f64 1 (*.f64 eps eps)) (+.f64 1 (*.f64 eps eps)))) (log1p.f64 eps)) |
(log1p.f64 eps) |
(-.f64 0 (log.f64 (/.f64 (+.f64 1 eps) (+.f64 1 (*.f64 eps eps))))) |
(-.f64 (log1p.f64 (*.f64 eps eps)) (log1p.f64 eps)) |
(-.f64 0 (log.f64 (/.f64 (+.f64 1 (fma.f64 eps eps eps)) (+.f64 1 (pow.f64 eps 3))))) |
(+.f64 (log1p.f64 (pow.f64 eps 3)) (neg.f64 (log.f64 (+.f64 1 (fma.f64 eps eps eps))))) |
(-.f64 (log1p.f64 (pow.f64 eps 3)) (log1p.f64 (fma.f64 eps eps eps))) |
(-.f64 (log1p.f64 (pow.f64 eps 3)) (log1p.f64 (fma.f64 eps eps eps))) |
(+.f64 (log1p.f64 (pow.f64 eps 3)) (neg.f64 (log.f64 (+.f64 1 (fma.f64 eps eps eps))))) |
(-.f64 (log1p.f64 (pow.f64 eps 3)) (log.f64 (fma.f64 eps eps (+.f64 1 eps)))) |
(+.f64 (log1p.f64 (pow.f64 eps 3)) (neg.f64 (log.f64 (+.f64 1 (fma.f64 eps eps eps))))) |
(-.f64 (log1p.f64 (pow.f64 eps 3)) (log1p.f64 (fma.f64 eps eps eps))) |
(-.f64 (log1p.f64 (*.f64 eps eps)) (log1p.f64 eps)) |
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 eps))) 1) |
(log1p.f64 eps) |
(-.f64 (log.f64 (neg.f64 (+.f64 1 (*.f64 eps eps)))) (log.f64 (+.f64 eps -1))) |
(-.f64 (log.f64 (+.f64 -1 (neg.f64 (*.f64 eps eps)))) (log.f64 (+.f64 eps -1))) |
(-.f64 (log.f64 (-.f64 -1 (*.f64 eps eps))) (log.f64 (+.f64 eps -1))) |
(-.f64 (log.f64 (fma.f64 eps (neg.f64 eps) -1)) (log.f64 (+.f64 eps -1))) |
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 eps 3)))) (log.f64 (neg.f64 (+.f64 1 (fma.f64 eps eps eps))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 eps 3) 1))) (log.f64 (neg.f64 (+.f64 1 (fma.f64 eps eps eps))))) |
(-.f64 (log.f64 (-.f64 -1 (pow.f64 eps 3))) (log.f64 (-.f64 -1 (fma.f64 eps eps eps)))) |
(-.f64 (log.f64 (fma.f64 eps eps -1)) (log.f64 (+.f64 eps -1))) |
(-.f64 (log.f64 (/.f64 (+.f64 1 (*.f64 eps eps)) 1)) (log1p.f64 eps)) |
(-.f64 (log1p.f64 (*.f64 eps eps)) (log1p.f64 eps)) |
(-.f64 (log.f64 (/.f64 (+.f64 1 (*.f64 eps eps)) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))) (*.f64 1/3 (log1p.f64 eps))) |
(+.f64 (log.f64 (/.f64 (+.f64 1 (*.f64 eps eps)) (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2))) (*.f64 -1/3 (log1p.f64 eps))) |
(+.f64 (log.f64 (/.f64 (fma.f64 eps eps 1) (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2))) (*.f64 -1/3 (log1p.f64 eps))) |
(-.f64 (log.f64 (/.f64 (+.f64 1 (*.f64 eps eps)) (hypot.f64 1 (sqrt.f64 eps)))) (*.f64 1/2 (log1p.f64 eps))) |
(+.f64 (log.f64 (/.f64 (+.f64 1 (*.f64 eps eps)) (hypot.f64 1 (sqrt.f64 eps)))) (*.f64 -1/2 (log1p.f64 eps))) |
(+.f64 (log.f64 (/.f64 (fma.f64 eps eps 1) (hypot.f64 1 (sqrt.f64 eps)))) (*.f64 -1/2 (log1p.f64 eps))) |
(*.f64 1 (log1p.f64 eps)) |
(log1p.f64 eps) |
(*.f64 (log1p.f64 eps) 1) |
(log1p.f64 eps) |
(*.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)) |
(log1p.f64 eps) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps))) |
(log1p.f64 eps) |
(*.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) |
(log1p.f64 eps) |
(*.f64 3 (*.f64 1/3 (log1p.f64 eps))) |
(log1p.f64 eps) |
(*.f64 2 (*.f64 1/2 (log1p.f64 eps))) |
(log1p.f64 eps) |
(*.f64 1/3 (*.f64 3 (log1p.f64 eps))) |
(log1p.f64 eps) |
(pow.f64 (log1p.f64 eps) 1) |
(log1p.f64 eps) |
(pow.f64 (cbrt.f64 (log1p.f64 eps)) 3) |
(log1p.f64 eps) |
(pow.f64 (pow.f64 (log1p.f64 eps) 3) 1/3) |
(log1p.f64 eps) |
(pow.f64 (sqrt.f64 (log1p.f64 eps)) 2) |
(log1p.f64 eps) |
(neg.f64 (log.f64 (/.f64 (+.f64 1 eps) (+.f64 1 (*.f64 eps eps))))) |
(-.f64 (log1p.f64 (*.f64 eps eps)) (log1p.f64 eps)) |
(neg.f64 (log.f64 (/.f64 (+.f64 1 (fma.f64 eps eps eps)) (+.f64 1 (pow.f64 eps 3))))) |
(+.f64 (log1p.f64 (pow.f64 eps 3)) (neg.f64 (log.f64 (+.f64 1 (fma.f64 eps eps eps))))) |
(-.f64 (log1p.f64 (pow.f64 eps 3)) (log1p.f64 (fma.f64 eps eps eps))) |
(sqrt.f64 (pow.f64 (log1p.f64 eps) 2)) |
(log1p.f64 eps) |
(log.f64 (+.f64 1 eps)) |
(log1p.f64 eps) |
(cbrt.f64 (pow.f64 (log1p.f64 eps) 3)) |
(log1p.f64 eps) |
(expm1.f64 (log1p.f64 (log1p.f64 eps))) |
(log1p.f64 eps) |
(exp.f64 (log.f64 (log1p.f64 eps))) |
(log1p.f64 eps) |
(exp.f64 (*.f64 (log.f64 (log1p.f64 eps)) 1)) |
(log1p.f64 eps) |
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 eps)) 1) 1)) |
(log1p.f64 eps) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 eps))) 3)) |
(log1p.f64 eps) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 eps))) 1/3)) |
(log1p.f64 eps) |
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 eps)) 3) 1/3)) |
(log1p.f64 eps) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 eps))) 2)) |
(log1p.f64 eps) |
0 |
Compiled 2147 to 1407 computations (34.5% saved)
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 155 | 4 | 159 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 0 | 0 |
| Total | 155 | 6 | 161 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.7% | (-.f64 (neg.f64 eps) (log1p.f64 eps)) |
| ✓ | 100.0% | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
| ▶ | 99.3% | (+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
| ▶ | 98.6% | (*.f64 -2 eps) |
| ✓ | 8.8% | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 5.2% | 0 | |
| ▶ | 97.7% | (-.f64 (neg.f64 eps) (log1p.f64 eps)) |
| ✓ | 100.0% | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
| ▶ | 99.3% | (+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
| ▶ | 98.6% | (*.f64 -2 eps) |
| ✓ | 8.8% | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 5.2% | 0 |
Compiled 76 to 58 computations (23.7% saved)
Found 2 expressions with local error:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (-.f64 (neg.f64 eps) (log1p.f64 eps)) |
| ✓ | 99.8% | (*.f64 -2/3 (pow.f64 eps 3)) |
Compiled 41 to 26 computations (36.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | inf | (*.f64 -2/3 (pow.f64 eps 3)) |
| 1.0ms | eps | @ | 0 | (*.f64 -2/3 (pow.f64 eps 3)) |
| 0.0ms | eps | @ | -inf | (*.f64 -2/3 (pow.f64 eps 3)) |
| 0.0ms | eps | @ | -inf | (-.f64 (neg.f64 eps) (log1p.f64 eps)) |
| 0.0ms | eps | @ | inf | (-.f64 (neg.f64 eps) (log1p.f64 eps)) |
| 1× | batch-egg-rewrite |
| 1260× | prod-diff |
| 924× | log-prod |
| 572× | fma-def |
| 546× | pow-prod-down |
| 470× | pow-prod-up |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 28 |
| 1 | 240 | 24 |
| 2 | 2968 | 24 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -2/3 (pow.f64 eps 3)) |
(-.f64 (neg.f64 eps) (log1p.f64 eps)) |
| Outputs |
|---|
(+.f64 0 (*.f64 -2/3 (pow.f64 eps 3))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3))))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3)))) 1) |
(pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1) |
(pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 3) |
(pow.f64 (*.f64 (pow.f64 eps 6) 4/9) 1/2) |
(pow.f64 (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 9) 1/3) |
(pow.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3)) 2) |
(sqrt.f64 (*.f64 (pow.f64 eps 6) 4/9)) |
(log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3))))) |
(cbrt.f64 (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 9)) |
(expm1.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3)))) |
(exp.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3))) |
(exp.f64 (*.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3)) 1)) |
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3)) 1) 1)) |
(exp.f64 (*.f64 (log.f64 (*.f64 eps (cbrt.f64 -2/3))) 3)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 9)) 1/3)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3))) 2)) |
(log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3)))) |
(+.f64 eps (neg.f64 (log1p.f64 eps))) |
(+.f64 eps (*.f64 (neg.f64 (log1p.f64 eps)) 1)) |
(+.f64 (-.f64 eps (log1p.f64 eps)) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps))) |
(+.f64 (-.f64 eps (log1p.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps))) |
(+.f64 (-.f64 eps (log1p.f64 eps)) (+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))) |
(+.f64 (-.f64 eps (log1p.f64 eps)) (fma.f64 -1 (log1p.f64 eps) (log1p.f64 eps))) |
(+.f64 (-.f64 eps (log1p.f64 eps)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)) (cbrt.f64 (log1p.f64 eps)) (log1p.f64 eps))) |
(+.f64 (neg.f64 (log1p.f64 eps)) eps) |
(+.f64 0 (-.f64 eps (log1p.f64 eps))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 eps (log1p.f64 eps)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 eps (log1p.f64 eps)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 eps (log1p.f64 eps))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 eps (log1p.f64 eps)))))) |
(*.f64 (-.f64 eps (log1p.f64 eps)) 1) |
(*.f64 1 (-.f64 eps (log1p.f64 eps))) |
(*.f64 (cbrt.f64 (-.f64 eps (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 eps (log1p.f64 eps))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 eps (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 eps (log1p.f64 eps)))) |
(*.f64 (sqrt.f64 (-.f64 eps (log1p.f64 eps))) (sqrt.f64 (-.f64 eps (log1p.f64 eps)))) |
(*.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (fma.f64 (log1p.f64 eps) (+.f64 eps (log1p.f64 eps)) (*.f64 eps eps)))) |
(*.f64 (-.f64 (*.f64 eps eps) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (+.f64 eps (log1p.f64 eps)))) |
(*.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (log1p.f64 eps)))) |
(/.f64 1 (/.f64 (fma.f64 (log1p.f64 eps) (+.f64 eps (log1p.f64 eps)) (*.f64 eps eps)) (-.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)))) |
(/.f64 1 (/.f64 (+.f64 eps (log1p.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (log1p.f64 eps) 2)))) |
(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (fma.f64 (log1p.f64 eps) (+.f64 eps (log1p.f64 eps)) (*.f64 eps eps))) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (log1p.f64 eps) 2)) (+.f64 eps (log1p.f64 eps))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3))) (neg.f64 (fma.f64 (log1p.f64 eps) (+.f64 eps (log1p.f64 eps)) (*.f64 eps eps)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (log1p.f64 eps) 2))) (-.f64 eps (log1p.f64 eps))) |
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (neg.f64 (log1p.f64 eps)) 3)) (fma.f64 eps eps (-.f64 (pow.f64 (neg.f64 (log1p.f64 eps)) 2) (*.f64 eps (neg.f64 (log1p.f64 eps)))))) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (neg.f64 (log1p.f64 eps)) 2)) (-.f64 eps (neg.f64 (log1p.f64 eps)))) |
(pow.f64 (-.f64 eps (log1p.f64 eps)) 1) |
(pow.f64 (cbrt.f64 (-.f64 eps (log1p.f64 eps))) 3) |
(pow.f64 (pow.f64 (-.f64 eps (log1p.f64 eps)) 2) 1/2) |
(pow.f64 (pow.f64 (-.f64 eps (log1p.f64 eps)) 3) 1/3) |
(pow.f64 (sqrt.f64 (-.f64 eps (log1p.f64 eps))) 2) |
(pow.f64 (/.f64 (fma.f64 (log1p.f64 eps) (+.f64 eps (log1p.f64 eps)) (*.f64 eps eps)) (-.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3))) -1) |
(pow.f64 (/.f64 (+.f64 eps (log1p.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (log1p.f64 eps) 2))) -1) |
(neg.f64 (+.f64 eps (log1p.f64 eps))) |
(sqrt.f64 (pow.f64 (-.f64 eps (log1p.f64 eps)) 2)) |
(log.f64 (exp.f64 (-.f64 eps (log1p.f64 eps)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 eps (log1p.f64 eps))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 eps)) (exp.f64 (neg.f64 (log1p.f64 eps))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 eps)) (/.f64 1 (+.f64 eps 1)))) |
(log.f64 (*.f64 (exp.f64 (neg.f64 (log1p.f64 eps))) (exp.f64 eps))) |
(log.f64 (*.f64 (exp.f64 (neg.f64 (log1p.f64 eps))) (+.f64 1 (expm1.f64 eps)))) |
(log.f64 (*.f64 (/.f64 1 (+.f64 eps 1)) (+.f64 1 (expm1.f64 eps)))) |
(log.f64 (/.f64 (+.f64 1 (expm1.f64 eps)) (+.f64 eps 1))) |
(log.f64 (/.f64 1 (exp.f64 (+.f64 eps (log1p.f64 eps))))) |
(cbrt.f64 (pow.f64 (-.f64 eps (log1p.f64 eps)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 eps (log1p.f64 eps)))) |
(exp.f64 (log.f64 (-.f64 eps (log1p.f64 eps)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 eps (log1p.f64 eps))) 1)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 eps (log1p.f64 eps))) 1) 1)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 eps (log1p.f64 eps)))) 3)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 eps (log1p.f64 eps)))) 1/3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 eps (log1p.f64 eps)))) 2)) |
(log1p.f64 (expm1.f64 (-.f64 eps (log1p.f64 eps)))) |
(fma.f64 eps 1 (neg.f64 (log1p.f64 eps))) |
(fma.f64 eps 1 (*.f64 (neg.f64 (log1p.f64 eps)) 1)) |
(fma.f64 eps -1 (neg.f64 (log1p.f64 eps))) |
(fma.f64 eps -1 (*.f64 (neg.f64 (log1p.f64 eps)) 1)) |
(fma.f64 (-.f64 eps (log1p.f64 eps)) 1 (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps))) |
(fma.f64 (-.f64 eps (log1p.f64 eps)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps))) |
(fma.f64 (-.f64 eps (log1p.f64 eps)) 1 (+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))) |
(fma.f64 1 eps (neg.f64 (log1p.f64 eps))) |
(fma.f64 1 eps (*.f64 (neg.f64 (log1p.f64 eps)) 1)) |
(fma.f64 1 (-.f64 eps (log1p.f64 eps)) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps))) |
(fma.f64 1 (-.f64 eps (log1p.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps))) |
(fma.f64 1 (-.f64 eps (log1p.f64 eps)) (+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))) |
(fma.f64 1 (neg.f64 (log1p.f64 eps)) eps) |
(fma.f64 (cbrt.f64 (-.f64 eps (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 eps (log1p.f64 eps))) 2) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps))) |
(fma.f64 (cbrt.f64 (-.f64 eps (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 eps (log1p.f64 eps))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps))) |
(fma.f64 (cbrt.f64 (-.f64 eps (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 eps (log1p.f64 eps))) 2) (+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 eps (log1p.f64 eps))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps))) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 eps (log1p.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps))) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 eps (log1p.f64 eps))) (+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))) |
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (neg.f64 (cbrt.f64 (log1p.f64 eps))) eps) |
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2) (neg.f64 (log1p.f64 eps))) |
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2) (*.f64 (neg.f64 (log1p.f64 eps)) 1)) |
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (neg.f64 (log1p.f64 eps))) |
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (*.f64 (neg.f64 (log1p.f64 eps)) 1)) |
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (neg.f64 (cbrt.f64 eps)) (neg.f64 (log1p.f64 eps))) |
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (neg.f64 (cbrt.f64 eps)) (*.f64 (neg.f64 (log1p.f64 eps)) 1)) |
(fma.f64 (sqrt.f64 (-.f64 eps (log1p.f64 eps))) (sqrt.f64 (-.f64 eps (log1p.f64 eps))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps))) |
(fma.f64 (sqrt.f64 (-.f64 eps (log1p.f64 eps))) (sqrt.f64 (-.f64 eps (log1p.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps))) |
(fma.f64 (sqrt.f64 (-.f64 eps (log1p.f64 eps))) (sqrt.f64 (-.f64 eps (log1p.f64 eps))) (+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))) |
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (neg.f64 (log1p.f64 eps))) |
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 (neg.f64 (log1p.f64 eps)) 1)) |
(fma.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 eps)) (neg.f64 (log1p.f64 eps))) |
(fma.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 eps)) (*.f64 (neg.f64 (log1p.f64 eps)) 1)) |
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (neg.f64 (sqrt.f64 (log1p.f64 eps))) eps) |
(fma.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (fma.f64 (log1p.f64 eps) (+.f64 eps (log1p.f64 eps)) (*.f64 eps eps))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps))) |
(fma.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (fma.f64 (log1p.f64 eps) (+.f64 eps (log1p.f64 eps)) (*.f64 eps eps))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps))) |
(fma.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (fma.f64 (log1p.f64 eps) (+.f64 eps (log1p.f64 eps)) (*.f64 eps eps))) (+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))) |
(fma.f64 -1 eps (neg.f64 (log1p.f64 eps))) |
(fma.f64 -1 eps (*.f64 (neg.f64 (log1p.f64 eps)) 1)) |
(fma.f64 -1 (log1p.f64 eps) eps) |
(fma.f64 (-.f64 (*.f64 eps eps) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (+.f64 eps (log1p.f64 eps))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps))) |
(fma.f64 (-.f64 (*.f64 eps eps) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (+.f64 eps (log1p.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps))) |
(fma.f64 (-.f64 (*.f64 eps eps) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (+.f64 eps (log1p.f64 eps))) (+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))) |
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log1p.f64 eps))) 2) (cbrt.f64 (neg.f64 (log1p.f64 eps))) eps) |
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 eps))) (sqrt.f64 (neg.f64 (log1p.f64 eps))) eps) |
(fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 eps)) eps) |
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (log1p.f64 eps))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps))) |
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (log1p.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps))) |
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (log1p.f64 eps))) (+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))) |
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (neg.f64 (log1p.f64 eps))) |
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (*.f64 (neg.f64 (log1p.f64 eps)) 1)) |
(fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps) (neg.f64 (log1p.f64 eps))) |
(fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 (neg.f64 (log1p.f64 eps)) 1)) |
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)) (cbrt.f64 (log1p.f64 eps)) eps) |
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (neg.f64 (log1p.f64 eps))) |
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (*.f64 (neg.f64 (log1p.f64 eps)) 1)) |
(fma.f64 (*.f64 -1 (sqrt.f64 eps)) (sqrt.f64 eps) (neg.f64 (log1p.f64 eps))) |
(fma.f64 (*.f64 -1 (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 (neg.f64 (log1p.f64 eps)) 1)) |
| 1× | egg-herbie |
| 1886× | fma-def |
| 620× | times-frac |
| 488× | associate-+l+ |
| 444× | distribute-lft-in |
| 418× | distribute-rgt-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 308 | 2893 |
| 1 | 741 | 2691 |
| 2 | 1970 | 2641 |
| 3 | 7561 | 2641 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -2 eps) |
(+.f64 (*.f64 -2 eps) (*.f64 1/2 (pow.f64 eps 2))) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -1/3 (pow.f64 eps 3)) (*.f64 1/2 (pow.f64 eps 2)))) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -1/3 (pow.f64 eps 3)) (+.f64 (*.f64 1/4 (pow.f64 eps 4)) (*.f64 1/2 (pow.f64 eps 2))))) |
(*.f64 -1 eps) |
(+.f64 (log.f64 (/.f64 1 eps)) (*.f64 -1 eps)) |
(-.f64 (+.f64 (log.f64 (/.f64 1 eps)) (*.f64 -1 eps)) (/.f64 1 eps)) |
(-.f64 (+.f64 (log.f64 (/.f64 1 eps)) (+.f64 (*.f64 -1 eps) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2))))) (/.f64 1 eps)) |
(*.f64 -1 eps) |
(+.f64 (*.f64 -1 eps) (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 eps)))))) |
(-.f64 (+.f64 (*.f64 -1 eps) (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 eps)))))) (/.f64 1 eps)) |
(-.f64 (+.f64 (*.f64 -1 eps) (+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 eps))))) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2))))) (/.f64 1 eps)) |
(+.f64 0 (*.f64 -2/3 (pow.f64 eps 3))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3))))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3)))) 1) |
(pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1) |
(pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 3) |
(pow.f64 (*.f64 (pow.f64 eps 6) 4/9) 1/2) |
(pow.f64 (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 9) 1/3) |
(pow.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3)) 2) |
(sqrt.f64 (*.f64 (pow.f64 eps 6) 4/9)) |
(log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3))))) |
(cbrt.f64 (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 9)) |
(expm1.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3)))) |
(exp.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3))) |
(exp.f64 (*.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3)) 1)) |
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3)) 1) 1)) |
(exp.f64 (*.f64 (log.f64 (*.f64 eps (cbrt.f64 -2/3))) 3)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 9)) 1/3)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3))) 2)) |
(log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3)))) |
(+.f64 eps (neg.f64 (log1p.f64 eps))) |
(+.f64 eps (*.f64 (neg.f64 (log1p.f64 eps)) 1)) |
(+.f64 (-.f64 eps (log1p.f64 eps)) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps))) |
(+.f64 (-.f64 eps (log1p.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps))) |
(+.f64 (-.f64 eps (log1p.f64 eps)) (+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))) |
(+.f64 (-.f64 eps (log1p.f64 eps)) (fma.f64 -1 (log1p.f64 eps) (log1p.f64 eps))) |
(+.f64 (-.f64 eps (log1p.f64 eps)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)) (cbrt.f64 (log1p.f64 eps)) (log1p.f64 eps))) |
(+.f64 (neg.f64 (log1p.f64 eps)) eps) |
(+.f64 0 (-.f64 eps (log1p.f64 eps))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 eps (log1p.f64 eps)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 eps (log1p.f64 eps)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 eps (log1p.f64 eps))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 eps (log1p.f64 eps)))))) |
(*.f64 (-.f64 eps (log1p.f64 eps)) 1) |
(*.f64 1 (-.f64 eps (log1p.f64 eps))) |
(*.f64 (cbrt.f64 (-.f64 eps (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 eps (log1p.f64 eps))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 eps (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 eps (log1p.f64 eps)))) |
(*.f64 (sqrt.f64 (-.f64 eps (log1p.f64 eps))) (sqrt.f64 (-.f64 eps (log1p.f64 eps)))) |
(*.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (fma.f64 (log1p.f64 eps) (+.f64 eps (log1p.f64 eps)) (*.f64 eps eps)))) |
(*.f64 (-.f64 (*.f64 eps eps) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (+.f64 eps (log1p.f64 eps)))) |
(*.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (log1p.f64 eps)))) |
(/.f64 1 (/.f64 (fma.f64 (log1p.f64 eps) (+.f64 eps (log1p.f64 eps)) (*.f64 eps eps)) (-.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)))) |
(/.f64 1 (/.f64 (+.f64 eps (log1p.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (log1p.f64 eps) 2)))) |
(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (fma.f64 (log1p.f64 eps) (+.f64 eps (log1p.f64 eps)) (*.f64 eps eps))) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (log1p.f64 eps) 2)) (+.f64 eps (log1p.f64 eps))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3))) (neg.f64 (fma.f64 (log1p.f64 eps) (+.f64 eps (log1p.f64 eps)) (*.f64 eps eps)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (log1p.f64 eps) 2))) (-.f64 eps (log1p.f64 eps))) |
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (neg.f64 (log1p.f64 eps)) 3)) (fma.f64 eps eps (-.f64 (pow.f64 (neg.f64 (log1p.f64 eps)) 2) (*.f64 eps (neg.f64 (log1p.f64 eps)))))) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (neg.f64 (log1p.f64 eps)) 2)) (-.f64 eps (neg.f64 (log1p.f64 eps)))) |
(pow.f64 (-.f64 eps (log1p.f64 eps)) 1) |
(pow.f64 (cbrt.f64 (-.f64 eps (log1p.f64 eps))) 3) |
(pow.f64 (pow.f64 (-.f64 eps (log1p.f64 eps)) 2) 1/2) |
(pow.f64 (pow.f64 (-.f64 eps (log1p.f64 eps)) 3) 1/3) |
(pow.f64 (sqrt.f64 (-.f64 eps (log1p.f64 eps))) 2) |
(pow.f64 (/.f64 (fma.f64 (log1p.f64 eps) (+.f64 eps (log1p.f64 eps)) (*.f64 eps eps)) (-.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3))) -1) |
(pow.f64 (/.f64 (+.f64 eps (log1p.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (log1p.f64 eps) 2))) -1) |
(neg.f64 (+.f64 eps (log1p.f64 eps))) |
(sqrt.f64 (pow.f64 (-.f64 eps (log1p.f64 eps)) 2)) |
(log.f64 (exp.f64 (-.f64 eps (log1p.f64 eps)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 eps (log1p.f64 eps))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 eps)) (exp.f64 (neg.f64 (log1p.f64 eps))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 eps)) (/.f64 1 (+.f64 eps 1)))) |
(log.f64 (*.f64 (exp.f64 (neg.f64 (log1p.f64 eps))) (exp.f64 eps))) |
(log.f64 (*.f64 (exp.f64 (neg.f64 (log1p.f64 eps))) (+.f64 1 (expm1.f64 eps)))) |
(log.f64 (*.f64 (/.f64 1 (+.f64 eps 1)) (+.f64 1 (expm1.f64 eps)))) |
(log.f64 (/.f64 (+.f64 1 (expm1.f64 eps)) (+.f64 eps 1))) |
(log.f64 (/.f64 1 (exp.f64 (+.f64 eps (log1p.f64 eps))))) |
(cbrt.f64 (pow.f64 (-.f64 eps (log1p.f64 eps)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 eps (log1p.f64 eps)))) |
(exp.f64 (log.f64 (-.f64 eps (log1p.f64 eps)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 eps (log1p.f64 eps))) 1)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 eps (log1p.f64 eps))) 1) 1)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 eps (log1p.f64 eps)))) 3)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 eps (log1p.f64 eps)))) 1/3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 eps (log1p.f64 eps)))) 2)) |
(log1p.f64 (expm1.f64 (-.f64 eps (log1p.f64 eps)))) |
(fma.f64 eps 1 (neg.f64 (log1p.f64 eps))) |
(fma.f64 eps 1 (*.f64 (neg.f64 (log1p.f64 eps)) 1)) |
(fma.f64 eps -1 (neg.f64 (log1p.f64 eps))) |
(fma.f64 eps -1 (*.f64 (neg.f64 (log1p.f64 eps)) 1)) |
(fma.f64 (-.f64 eps (log1p.f64 eps)) 1 (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps))) |
(fma.f64 (-.f64 eps (log1p.f64 eps)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps))) |
(fma.f64 (-.f64 eps (log1p.f64 eps)) 1 (+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))) |
(fma.f64 1 eps (neg.f64 (log1p.f64 eps))) |
(fma.f64 1 eps (*.f64 (neg.f64 (log1p.f64 eps)) 1)) |
(fma.f64 1 (-.f64 eps (log1p.f64 eps)) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps))) |
(fma.f64 1 (-.f64 eps (log1p.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps))) |
(fma.f64 1 (-.f64 eps (log1p.f64 eps)) (+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))) |
(fma.f64 1 (neg.f64 (log1p.f64 eps)) eps) |
(fma.f64 (cbrt.f64 (-.f64 eps (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 eps (log1p.f64 eps))) 2) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps))) |
(fma.f64 (cbrt.f64 (-.f64 eps (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 eps (log1p.f64 eps))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps))) |
(fma.f64 (cbrt.f64 (-.f64 eps (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 eps (log1p.f64 eps))) 2) (+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 eps (log1p.f64 eps))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps))) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 eps (log1p.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps))) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 eps (log1p.f64 eps))) (+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))) |
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (neg.f64 (cbrt.f64 (log1p.f64 eps))) eps) |
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2) (neg.f64 (log1p.f64 eps))) |
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2) (*.f64 (neg.f64 (log1p.f64 eps)) 1)) |
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (neg.f64 (log1p.f64 eps))) |
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (*.f64 (neg.f64 (log1p.f64 eps)) 1)) |
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (neg.f64 (cbrt.f64 eps)) (neg.f64 (log1p.f64 eps))) |
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (neg.f64 (cbrt.f64 eps)) (*.f64 (neg.f64 (log1p.f64 eps)) 1)) |
(fma.f64 (sqrt.f64 (-.f64 eps (log1p.f64 eps))) (sqrt.f64 (-.f64 eps (log1p.f64 eps))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps))) |
(fma.f64 (sqrt.f64 (-.f64 eps (log1p.f64 eps))) (sqrt.f64 (-.f64 eps (log1p.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps))) |
(fma.f64 (sqrt.f64 (-.f64 eps (log1p.f64 eps))) (sqrt.f64 (-.f64 eps (log1p.f64 eps))) (+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))) |
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (neg.f64 (log1p.f64 eps))) |
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 (neg.f64 (log1p.f64 eps)) 1)) |
(fma.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 eps)) (neg.f64 (log1p.f64 eps))) |
(fma.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 eps)) (*.f64 (neg.f64 (log1p.f64 eps)) 1)) |
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (neg.f64 (sqrt.f64 (log1p.f64 eps))) eps) |
(fma.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (fma.f64 (log1p.f64 eps) (+.f64 eps (log1p.f64 eps)) (*.f64 eps eps))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps))) |
(fma.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (fma.f64 (log1p.f64 eps) (+.f64 eps (log1p.f64 eps)) (*.f64 eps eps))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps))) |
(fma.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (fma.f64 (log1p.f64 eps) (+.f64 eps (log1p.f64 eps)) (*.f64 eps eps))) (+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))) |
(fma.f64 -1 eps (neg.f64 (log1p.f64 eps))) |
(fma.f64 -1 eps (*.f64 (neg.f64 (log1p.f64 eps)) 1)) |
(fma.f64 -1 (log1p.f64 eps) eps) |
(fma.f64 (-.f64 (*.f64 eps eps) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (+.f64 eps (log1p.f64 eps))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps))) |
(fma.f64 (-.f64 (*.f64 eps eps) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (+.f64 eps (log1p.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps))) |
(fma.f64 (-.f64 (*.f64 eps eps) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (+.f64 eps (log1p.f64 eps))) (+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))) |
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log1p.f64 eps))) 2) (cbrt.f64 (neg.f64 (log1p.f64 eps))) eps) |
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 eps))) (sqrt.f64 (neg.f64 (log1p.f64 eps))) eps) |
(fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 eps)) eps) |
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (log1p.f64 eps))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps))) |
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (log1p.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps))) |
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (log1p.f64 eps))) (+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))) |
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (neg.f64 (log1p.f64 eps))) |
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (*.f64 (neg.f64 (log1p.f64 eps)) 1)) |
(fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps) (neg.f64 (log1p.f64 eps))) |
(fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 (neg.f64 (log1p.f64 eps)) 1)) |
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)) (cbrt.f64 (log1p.f64 eps)) eps) |
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (neg.f64 (log1p.f64 eps))) |
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (*.f64 (neg.f64 (log1p.f64 eps)) 1)) |
(fma.f64 (*.f64 -1 (sqrt.f64 eps)) (sqrt.f64 eps) (neg.f64 (log1p.f64 eps))) |
(fma.f64 (*.f64 -1 (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 (neg.f64 (log1p.f64 eps)) 1)) |
| Outputs |
|---|
(*.f64 -2 eps) |
(+.f64 (*.f64 -2 eps) (*.f64 1/2 (pow.f64 eps 2))) |
(fma.f64 -2 eps (*.f64 1/2 (*.f64 eps eps))) |
(fma.f64 -2 eps (*.f64 (*.f64 1/2 eps) eps)) |
(*.f64 eps (+.f64 (*.f64 eps 1/2) -2)) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -1/3 (pow.f64 eps 3)) (*.f64 1/2 (pow.f64 eps 2)))) |
(fma.f64 -2 eps (fma.f64 -1/3 (pow.f64 eps 3) (*.f64 1/2 (*.f64 eps eps)))) |
(fma.f64 -2 eps (fma.f64 -1/3 (pow.f64 eps 3) (*.f64 (*.f64 1/2 eps) eps))) |
(fma.f64 -2 eps (*.f64 (*.f64 eps eps) (+.f64 1/2 (*.f64 eps -1/3)))) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -1/3 (pow.f64 eps 3)) (+.f64 (*.f64 1/4 (pow.f64 eps 4)) (*.f64 1/2 (pow.f64 eps 2))))) |
(fma.f64 -2 eps (fma.f64 -1/3 (pow.f64 eps 3) (fma.f64 1/4 (pow.f64 eps 4) (*.f64 1/2 (*.f64 eps eps))))) |
(fma.f64 -2 eps (fma.f64 -1/3 (pow.f64 eps 3) (fma.f64 1/4 (pow.f64 eps 4) (*.f64 (*.f64 1/2 eps) eps)))) |
(fma.f64 -2 eps (fma.f64 1/4 (pow.f64 eps 4) (*.f64 (*.f64 eps eps) (+.f64 1/2 (*.f64 eps -1/3))))) |
(*.f64 -1 eps) |
(neg.f64 eps) |
(+.f64 (log.f64 (/.f64 1 eps)) (*.f64 -1 eps)) |
(+.f64 (neg.f64 eps) (neg.f64 (log.f64 eps))) |
(-.f64 (neg.f64 eps) (log.f64 eps)) |
(-.f64 (+.f64 (log.f64 (/.f64 1 eps)) (*.f64 -1 eps)) (/.f64 1 eps)) |
(+.f64 (neg.f64 (log.f64 eps)) (-.f64 (neg.f64 eps) (/.f64 1 eps))) |
(+.f64 (-.f64 (neg.f64 eps) (log.f64 eps)) (/.f64 -1 eps)) |
(-.f64 (/.f64 -1 eps) (+.f64 eps (log.f64 eps))) |
(-.f64 (+.f64 (log.f64 (/.f64 1 eps)) (+.f64 (*.f64 -1 eps) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2))))) (/.f64 1 eps)) |
(+.f64 (neg.f64 (log.f64 eps)) (-.f64 (fma.f64 -1 eps (/.f64 1/2 (*.f64 eps eps))) (/.f64 1 eps))) |
(+.f64 (-.f64 (-.f64 (/.f64 (/.f64 1/2 eps) eps) eps) (log.f64 eps)) (/.f64 -1 eps)) |
(+.f64 (/.f64 1/2 (*.f64 eps eps)) (-.f64 (/.f64 -1 eps) (+.f64 eps (log.f64 eps)))) |
(*.f64 -1 eps) |
(neg.f64 eps) |
(+.f64 (*.f64 -1 eps) (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 eps)))))) |
(*.f64 -1 (+.f64 eps (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 eps)))))) |
(-.f64 (neg.f64 eps) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 eps)))) |
(-.f64 (-.f64 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) eps) |
(-.f64 (+.f64 (*.f64 -1 eps) (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 eps)))))) (/.f64 1 eps)) |
(-.f64 (*.f64 -1 (+.f64 eps (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 eps)))))) (/.f64 1 eps)) |
(fma.f64 -1 (+.f64 eps (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 eps)))) (/.f64 -1 eps)) |
(-.f64 (-.f64 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (-.f64 eps (/.f64 -1 eps))) |
(-.f64 (+.f64 (*.f64 -1 eps) (+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 eps))))) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2))))) (/.f64 1 eps)) |
(-.f64 (fma.f64 -1 eps (fma.f64 -1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 eps)))) (/.f64 1/2 (*.f64 eps eps)))) (/.f64 1 eps)) |
(+.f64 (-.f64 (-.f64 (/.f64 (/.f64 1/2 eps) eps) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 eps)))) eps) (/.f64 -1 eps)) |
(+.f64 (/.f64 1/2 (*.f64 eps eps)) (-.f64 (-.f64 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (-.f64 eps (/.f64 -1 eps)))) |
(+.f64 0 (*.f64 -2/3 (pow.f64 eps 3))) |
(*.f64 (pow.f64 eps 3) -2/3) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3))))) |
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3))))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3))))) |
(*.f64 (pow.f64 eps 3) -2/3) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3)))) 1) |
(*.f64 (pow.f64 eps 3) -2/3) |
(pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1) |
(*.f64 (pow.f64 eps 3) -2/3) |
(pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 3) |
(*.f64 (pow.f64 eps 3) -2/3) |
(pow.f64 (*.f64 (pow.f64 eps 6) 4/9) 1/2) |
(sqrt.f64 (*.f64 (pow.f64 eps 6) 4/9)) |
(pow.f64 (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 9) 1/3) |
(*.f64 (pow.f64 eps 3) -2/3) |
(pow.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3)) 2) |
(*.f64 (pow.f64 eps 3) -2/3) |
(sqrt.f64 (*.f64 (pow.f64 eps 6) 4/9)) |
(log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3))) |
(*.f64 (pow.f64 eps 3) -2/3) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3))))) |
(*.f64 (pow.f64 eps 3) -2/3) |
(cbrt.f64 (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 9)) |
(*.f64 (pow.f64 eps 3) -2/3) |
(expm1.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3)))) |
(*.f64 (pow.f64 eps 3) -2/3) |
(exp.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3))) |
(*.f64 (pow.f64 eps 3) -2/3) |
(exp.f64 (*.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3)) 1)) |
(*.f64 (pow.f64 eps 3) -2/3) |
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3)) 1) 1)) |
(*.f64 (pow.f64 eps 3) -2/3) |
(exp.f64 (*.f64 (log.f64 (*.f64 eps (cbrt.f64 -2/3))) 3)) |
(*.f64 (pow.f64 eps 3) -2/3) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 9)) 1/3)) |
(*.f64 (pow.f64 eps 3) -2/3) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3))) 2)) |
(*.f64 (pow.f64 eps 3) -2/3) |
(log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3)))) |
(*.f64 (pow.f64 eps 3) -2/3) |
(+.f64 eps (neg.f64 (log1p.f64 eps))) |
(-.f64 eps (log1p.f64 eps)) |
(+.f64 eps (*.f64 (neg.f64 (log1p.f64 eps)) 1)) |
(-.f64 eps (log1p.f64 eps)) |
(+.f64 (-.f64 eps (log1p.f64 eps)) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps))) |
(-.f64 eps (log1p.f64 eps)) |
(+.f64 (-.f64 eps (log1p.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps))) |
(-.f64 eps (log1p.f64 eps)) |
(+.f64 (-.f64 eps (log1p.f64 eps)) (+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))) |
(-.f64 eps (log1p.f64 eps)) |
(+.f64 (-.f64 eps (log1p.f64 eps)) (fma.f64 -1 (log1p.f64 eps) (log1p.f64 eps))) |
(-.f64 eps (log1p.f64 eps)) |
(+.f64 (-.f64 eps (log1p.f64 eps)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)) (cbrt.f64 (log1p.f64 eps)) (log1p.f64 eps))) |
(-.f64 eps (log1p.f64 eps)) |
(+.f64 (neg.f64 (log1p.f64 eps)) eps) |
(-.f64 eps (log1p.f64 eps)) |
(+.f64 0 (-.f64 eps (log1p.f64 eps))) |
(-.f64 eps (log1p.f64 eps)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 eps (log1p.f64 eps)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 eps (log1p.f64 eps)))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (-.f64 eps (log1p.f64 eps)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 eps (log1p.f64 eps))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 eps (log1p.f64 eps)))))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 eps (log1p.f64 eps)))))) |
(*.f64 (-.f64 eps (log1p.f64 eps)) 1) |
(-.f64 eps (log1p.f64 eps)) |
(*.f64 1 (-.f64 eps (log1p.f64 eps))) |
(-.f64 eps (log1p.f64 eps)) |
(*.f64 (cbrt.f64 (-.f64 eps (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 eps (log1p.f64 eps))) 2)) |
(-.f64 eps (log1p.f64 eps)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 eps (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 eps (log1p.f64 eps)))) |
(-.f64 eps (log1p.f64 eps)) |
(*.f64 (sqrt.f64 (-.f64 eps (log1p.f64 eps))) (sqrt.f64 (-.f64 eps (log1p.f64 eps)))) |
(-.f64 eps (log1p.f64 eps)) |
(*.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (fma.f64 (log1p.f64 eps) (+.f64 eps (log1p.f64 eps)) (*.f64 eps eps)))) |
(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (fma.f64 (log1p.f64 eps) (+.f64 eps (log1p.f64 eps)) (*.f64 eps eps))) |
(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (fma.f64 eps eps (*.f64 (log1p.f64 eps) (+.f64 eps (log1p.f64 eps))))) |
(*.f64 (-.f64 (*.f64 eps eps) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (+.f64 eps (log1p.f64 eps)))) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (log1p.f64 eps) 2)) (+.f64 eps (log1p.f64 eps))) |
(*.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (log1p.f64 eps)))) |
(-.f64 eps (log1p.f64 eps)) |
(/.f64 1 (/.f64 (fma.f64 (log1p.f64 eps) (+.f64 eps (log1p.f64 eps)) (*.f64 eps eps)) (-.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)))) |
(*.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (fma.f64 (log1p.f64 eps) (+.f64 eps (log1p.f64 eps)) (*.f64 eps eps)))) |
(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (fma.f64 (log1p.f64 eps) (+.f64 eps (log1p.f64 eps)) (*.f64 eps eps))) |
(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (fma.f64 eps eps (*.f64 (log1p.f64 eps) (+.f64 eps (log1p.f64 eps))))) |
(/.f64 1 (/.f64 (+.f64 eps (log1p.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (log1p.f64 eps) 2)))) |
(*.f64 (-.f64 (*.f64 eps eps) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (+.f64 eps (log1p.f64 eps)))) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (log1p.f64 eps) 2)) (+.f64 eps (log1p.f64 eps))) |
(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (fma.f64 (log1p.f64 eps) (+.f64 eps (log1p.f64 eps)) (*.f64 eps eps))) |
(*.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (fma.f64 (log1p.f64 eps) (+.f64 eps (log1p.f64 eps)) (*.f64 eps eps)))) |
(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (fma.f64 eps eps (*.f64 (log1p.f64 eps) (+.f64 eps (log1p.f64 eps))))) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (log1p.f64 eps) 2)) (+.f64 eps (log1p.f64 eps))) |
(*.f64 (-.f64 (*.f64 eps eps) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (+.f64 eps (log1p.f64 eps)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3))) (neg.f64 (fma.f64 (log1p.f64 eps) (+.f64 eps (log1p.f64 eps)) (*.f64 eps eps)))) |
(*.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (fma.f64 (log1p.f64 eps) (+.f64 eps (log1p.f64 eps)) (*.f64 eps eps)))) |
(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (fma.f64 (log1p.f64 eps) (+.f64 eps (log1p.f64 eps)) (*.f64 eps eps))) |
(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (fma.f64 eps eps (*.f64 (log1p.f64 eps) (+.f64 eps (log1p.f64 eps))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (log1p.f64 eps) 2))) (-.f64 eps (log1p.f64 eps))) |
(neg.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (log1p.f64 eps) 2)) (-.f64 eps (log1p.f64 eps)))) |
(/.f64 (+.f64 (neg.f64 (*.f64 eps eps)) (pow.f64 (log1p.f64 eps) 2)) (-.f64 eps (log1p.f64 eps))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 eps eps)) (-.f64 eps (log1p.f64 eps))) |
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (neg.f64 (log1p.f64 eps)) 3)) (fma.f64 eps eps (-.f64 (pow.f64 (neg.f64 (log1p.f64 eps)) 2) (*.f64 eps (neg.f64 (log1p.f64 eps)))))) |
(*.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (fma.f64 (log1p.f64 eps) (+.f64 eps (log1p.f64 eps)) (*.f64 eps eps)))) |
(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (fma.f64 (log1p.f64 eps) (+.f64 eps (log1p.f64 eps)) (*.f64 eps eps))) |
(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (fma.f64 eps eps (*.f64 (log1p.f64 eps) (+.f64 eps (log1p.f64 eps))))) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (neg.f64 (log1p.f64 eps)) 2)) (-.f64 eps (neg.f64 (log1p.f64 eps)))) |
(*.f64 (-.f64 (*.f64 eps eps) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (+.f64 eps (log1p.f64 eps)))) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (log1p.f64 eps) 2)) (+.f64 eps (log1p.f64 eps))) |
(pow.f64 (-.f64 eps (log1p.f64 eps)) 1) |
(-.f64 eps (log1p.f64 eps)) |
(pow.f64 (cbrt.f64 (-.f64 eps (log1p.f64 eps))) 3) |
(-.f64 eps (log1p.f64 eps)) |
(pow.f64 (pow.f64 (-.f64 eps (log1p.f64 eps)) 2) 1/2) |
(-.f64 eps (log1p.f64 eps)) |
(pow.f64 (pow.f64 (-.f64 eps (log1p.f64 eps)) 3) 1/3) |
(-.f64 eps (log1p.f64 eps)) |
(pow.f64 (sqrt.f64 (-.f64 eps (log1p.f64 eps))) 2) |
(-.f64 eps (log1p.f64 eps)) |
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(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (*.f64 (neg.f64 (log1p.f64 eps)) 1)) |
(neg.f64 (+.f64 eps (log1p.f64 eps))) |
(-.f64 (neg.f64 eps) (log1p.f64 eps)) |
(fma.f64 (*.f64 -1 (sqrt.f64 eps)) (sqrt.f64 eps) (neg.f64 (log1p.f64 eps))) |
(neg.f64 (+.f64 eps (log1p.f64 eps))) |
(-.f64 (neg.f64 eps) (log1p.f64 eps)) |
(fma.f64 (*.f64 -1 (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 (neg.f64 (log1p.f64 eps)) 1)) |
(neg.f64 (+.f64 eps (log1p.f64 eps))) |
(-.f64 (neg.f64 eps) (log1p.f64 eps)) |
Compiled 2339 to 1090 computations (53.4% saved)
8 alts after pruning (3 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 182 | 2 | 184 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 2 | 2 |
| Total | 182 | 8 | 190 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 97.7% | (-.f64 (neg.f64 eps) (log1p.f64 eps)) |
| ✓ | 100.0% | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
| ✓ | 99.3% | (+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
| ▶ | 97.7% | (*.f64 eps (+.f64 (*.f64 eps 1/2) -2)) |
| ✓ | 98.6% | (*.f64 -2 eps) |
| ▶ | 18.8% | (neg.f64 eps) |
| ✓ | 8.8% | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 5.2% | 0 | |
| ✓ | 97.7% | (-.f64 (neg.f64 eps) (log1p.f64 eps)) |
| ✓ | 100.0% | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
| ✓ | 99.3% | (+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
| ▶ | 97.7% | (*.f64 eps (+.f64 (*.f64 eps 1/2) -2)) |
| ✓ | 98.6% | (*.f64 -2 eps) |
| ▶ | 18.8% | (neg.f64 eps) |
| ✓ | 8.8% | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 5.2% | 0 |
Compiled 98 to 74 computations (24.5% saved)
Found 1 expressions with local error:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 eps (+.f64 (*.f64 eps 1/2) -2)) |
Compiled 23 to 16 computations (30.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | eps | @ | inf | (*.f64 eps (+.f64 (*.f64 eps 1/2) -2)) |
| 0.0ms | eps | @ | 0 | (*.f64 eps (+.f64 (*.f64 eps 1/2) -2)) |
| 0.0ms | eps | @ | -inf | (*.f64 eps (+.f64 (*.f64 eps 1/2) -2)) |
| 1× | batch-egg-rewrite |
| 1822× | pow1 |
| 1698× | add-exp-log |
| 1698× | log1p-expm1-u |
| 1698× | expm1-log1p-u |
| 1670× | add-log-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 15 |
| 1 | 180 | 15 |
| 2 | 2304 | 15 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 eps (+.f64 (*.f64 eps 1/2) -2)) |
| Outputs |
|---|
(+.f64 (*.f64 eps -2) (*.f64 1/2 (*.f64 eps eps))) |
(+.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 eps -2)) |
(+.f64 (*.f64 (*.f64 1/2 (*.f64 eps eps)) 1) (*.f64 (*.f64 eps -2) 1)) |
(-.f64 (+.f64 1 (*.f64 eps (fma.f64 eps 1/2 -2))) 1) |
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 eps eps)) 3) (pow.f64 (*.f64 eps -2) 3)) (+.f64 (*.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 1/2 (*.f64 eps eps))) (-.f64 (*.f64 (*.f64 eps -2) (*.f64 eps -2)) (*.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 eps -2))))) |
(/.f64 (-.f64 (*.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 1/2 (*.f64 eps eps))) (*.f64 (*.f64 eps -2) (*.f64 eps -2))) (-.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 eps -2))) |
(/.f64 (*.f64 eps (+.f64 (*.f64 (pow.f64 eps 3) 1/8) -8)) (+.f64 (*.f64 (*.f64 eps eps) 1/4) (-.f64 4 (*.f64 eps -1)))) |
(/.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 eps eps) 1/4) -4)) (fma.f64 eps 1/2 2)) |
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 eps 3) 1/8) -8) eps) (+.f64 (*.f64 (*.f64 eps eps) 1/4) (-.f64 4 (*.f64 eps -1)))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 eps eps) 1/4) -4) eps) (fma.f64 eps 1/2 2)) |
(pow.f64 (*.f64 eps (fma.f64 eps 1/2 -2)) 1) |
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps 1/2 -2))) 3) |
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 eps 1/2 -2)) 3) 1/3) |
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 eps 1/2 -2))) 2) |
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps 1/2 -2)) 2)) |
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 eps 1/2 -2))) |
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps 1/2 -2)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 eps 1/2 -2) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 eps 1/2 -2) 3) (pow.f64 eps 3))) |
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 eps 1/2 -2)))) |
(exp.f64 (log.f64 (*.f64 eps (fma.f64 eps 1/2 -2)))) |
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 eps 1/2 -2)))) |
(fma.f64 eps (*.f64 eps 1/2) (*.f64 eps -2)) |
(fma.f64 (*.f64 eps 1/2) eps (*.f64 eps -2)) |
| 1× | egg-herbie |
| 1220× | associate-/r* |
| 572× | fma-def |
| 494× | fma-neg |
| 392× | log-prod |
| 386× | div-sub |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 906 |
| 1 | 259 | 708 |
| 2 | 916 | 694 |
| 3 | 3128 | 690 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -2 eps) |
(+.f64 (*.f64 -2 eps) (*.f64 1/2 (pow.f64 eps 2))) |
(+.f64 (*.f64 -2 eps) (*.f64 1/2 (pow.f64 eps 2))) |
(+.f64 (*.f64 -2 eps) (*.f64 1/2 (pow.f64 eps 2))) |
(*.f64 1/2 (pow.f64 eps 2)) |
(+.f64 (*.f64 -2 eps) (*.f64 1/2 (pow.f64 eps 2))) |
(+.f64 (*.f64 -2 eps) (*.f64 1/2 (pow.f64 eps 2))) |
(+.f64 (*.f64 -2 eps) (*.f64 1/2 (pow.f64 eps 2))) |
(*.f64 1/2 (pow.f64 eps 2)) |
(+.f64 (*.f64 -2 eps) (*.f64 1/2 (pow.f64 eps 2))) |
(+.f64 (*.f64 -2 eps) (*.f64 1/2 (pow.f64 eps 2))) |
(+.f64 (*.f64 -2 eps) (*.f64 1/2 (pow.f64 eps 2))) |
(+.f64 (*.f64 eps -2) (*.f64 1/2 (*.f64 eps eps))) |
(+.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 eps -2)) |
(+.f64 (*.f64 (*.f64 1/2 (*.f64 eps eps)) 1) (*.f64 (*.f64 eps -2) 1)) |
(-.f64 (+.f64 1 (*.f64 eps (fma.f64 eps 1/2 -2))) 1) |
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 eps eps)) 3) (pow.f64 (*.f64 eps -2) 3)) (+.f64 (*.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 1/2 (*.f64 eps eps))) (-.f64 (*.f64 (*.f64 eps -2) (*.f64 eps -2)) (*.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 eps -2))))) |
(/.f64 (-.f64 (*.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 1/2 (*.f64 eps eps))) (*.f64 (*.f64 eps -2) (*.f64 eps -2))) (-.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 eps -2))) |
(/.f64 (*.f64 eps (+.f64 (*.f64 (pow.f64 eps 3) 1/8) -8)) (+.f64 (*.f64 (*.f64 eps eps) 1/4) (-.f64 4 (*.f64 eps -1)))) |
(/.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 eps eps) 1/4) -4)) (fma.f64 eps 1/2 2)) |
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 eps 3) 1/8) -8) eps) (+.f64 (*.f64 (*.f64 eps eps) 1/4) (-.f64 4 (*.f64 eps -1)))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 eps eps) 1/4) -4) eps) (fma.f64 eps 1/2 2)) |
(pow.f64 (*.f64 eps (fma.f64 eps 1/2 -2)) 1) |
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps 1/2 -2))) 3) |
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 eps 1/2 -2)) 3) 1/3) |
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 eps 1/2 -2))) 2) |
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps 1/2 -2)) 2)) |
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 eps 1/2 -2))) |
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps 1/2 -2)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 eps 1/2 -2) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 eps 1/2 -2) 3) (pow.f64 eps 3))) |
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 eps 1/2 -2)))) |
(exp.f64 (log.f64 (*.f64 eps (fma.f64 eps 1/2 -2)))) |
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 eps 1/2 -2)))) |
(fma.f64 eps (*.f64 eps 1/2) (*.f64 eps -2)) |
(fma.f64 (*.f64 eps 1/2) eps (*.f64 eps -2)) |
| Outputs |
|---|
(*.f64 -2 eps) |
(+.f64 (*.f64 -2 eps) (*.f64 1/2 (pow.f64 eps 2))) |
(fma.f64 (*.f64 eps 1/2) eps (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 eps 1/2 -2)) |
(+.f64 (*.f64 -2 eps) (*.f64 1/2 (pow.f64 eps 2))) |
(fma.f64 (*.f64 eps 1/2) eps (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 eps 1/2 -2)) |
(+.f64 (*.f64 -2 eps) (*.f64 1/2 (pow.f64 eps 2))) |
(fma.f64 (*.f64 eps 1/2) eps (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 eps 1/2 -2)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (*.f64 eps eps)) |
(*.f64 eps (*.f64 eps 1/2)) |
(+.f64 (*.f64 -2 eps) (*.f64 1/2 (pow.f64 eps 2))) |
(fma.f64 (*.f64 eps 1/2) eps (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 eps 1/2 -2)) |
(+.f64 (*.f64 -2 eps) (*.f64 1/2 (pow.f64 eps 2))) |
(fma.f64 (*.f64 eps 1/2) eps (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 eps 1/2 -2)) |
(+.f64 (*.f64 -2 eps) (*.f64 1/2 (pow.f64 eps 2))) |
(fma.f64 (*.f64 eps 1/2) eps (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 eps 1/2 -2)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (*.f64 eps eps)) |
(*.f64 eps (*.f64 eps 1/2)) |
(+.f64 (*.f64 -2 eps) (*.f64 1/2 (pow.f64 eps 2))) |
(fma.f64 (*.f64 eps 1/2) eps (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 eps 1/2 -2)) |
(+.f64 (*.f64 -2 eps) (*.f64 1/2 (pow.f64 eps 2))) |
(fma.f64 (*.f64 eps 1/2) eps (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 eps 1/2 -2)) |
(+.f64 (*.f64 -2 eps) (*.f64 1/2 (pow.f64 eps 2))) |
(fma.f64 (*.f64 eps 1/2) eps (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 eps 1/2 -2)) |
(+.f64 (*.f64 eps -2) (*.f64 1/2 (*.f64 eps eps))) |
(fma.f64 (*.f64 eps 1/2) eps (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 eps 1/2 -2)) |
(+.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 eps -2)) |
(fma.f64 (*.f64 eps 1/2) eps (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 eps 1/2 -2)) |
(+.f64 (*.f64 (*.f64 1/2 (*.f64 eps eps)) 1) (*.f64 (*.f64 eps -2) 1)) |
(fma.f64 (*.f64 eps 1/2) eps (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 eps 1/2 -2)) |
(-.f64 (+.f64 1 (*.f64 eps (fma.f64 eps 1/2 -2))) 1) |
(fma.f64 (*.f64 eps 1/2) eps (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 eps 1/2 -2)) |
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 eps eps)) 3) (pow.f64 (*.f64 eps -2) 3)) (+.f64 (*.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 1/2 (*.f64 eps eps))) (-.f64 (*.f64 (*.f64 eps -2) (*.f64 eps -2)) (*.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 eps -2))))) |
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 (*.f64 eps eps) 3)) (pow.f64 (*.f64 -2 eps) 3)) (+.f64 (*.f64 1/4 (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 (*.f64 -2 eps) (-.f64 (*.f64 -2 eps) (*.f64 1/2 (*.f64 eps eps)))))) |
(/.f64 (fma.f64 1/8 (pow.f64 (*.f64 eps eps) 3) (pow.f64 (*.f64 -2 eps) 3)) (fma.f64 (*.f64 -2 eps) (*.f64 eps (-.f64 -2 (*.f64 eps 1/2))) (*.f64 1/4 (pow.f64 eps 4)))) |
(/.f64 (fma.f64 1/8 (pow.f64 eps 6) (pow.f64 (*.f64 -2 eps) 3)) (fma.f64 -2 (*.f64 (*.f64 eps eps) (+.f64 -2 (*.f64 eps -1/2))) (*.f64 1/4 (pow.f64 eps 4)))) |
(/.f64 (fma.f64 (pow.f64 eps 3) -8 (*.f64 1/8 (pow.f64 eps 6))) (fma.f64 eps (*.f64 eps 4) (*.f64 (*.f64 1/2 (pow.f64 eps 3)) (fma.f64 eps 1/2 2)))) |
(/.f64 (-.f64 (*.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 1/2 (*.f64 eps eps))) (*.f64 (*.f64 eps -2) (*.f64 eps -2))) (-.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 eps -2))) |
(fma.f64 (*.f64 eps 1/2) eps (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 eps 1/2 -2)) |
(/.f64 (*.f64 eps (+.f64 (*.f64 (pow.f64 eps 3) 1/8) -8)) (+.f64 (*.f64 (*.f64 eps eps) 1/4) (-.f64 4 (*.f64 eps -1)))) |
(/.f64 eps (/.f64 (fma.f64 (*.f64 eps eps) 1/4 (-.f64 4 (*.f64 eps -1))) (fma.f64 (pow.f64 eps 3) 1/8 -8))) |
(/.f64 eps (/.f64 (-.f64 (fma.f64 (*.f64 eps eps) 1/4 4) (neg.f64 eps)) (fma.f64 (pow.f64 eps 3) 1/8 -8))) |
(/.f64 (fma.f64 eps -8 (*.f64 1/8 (pow.f64 eps 4))) (fma.f64 eps (*.f64 eps 1/4) (+.f64 eps 4))) |
(*.f64 eps (/.f64 (fma.f64 (pow.f64 eps 3) 1/8 -8) (+.f64 eps (fma.f64 eps (*.f64 eps 1/4) 4)))) |
(/.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 eps eps) 1/4) -4)) (fma.f64 eps 1/2 2)) |
(/.f64 (fma.f64 (*.f64 eps eps) 1/4 -4) (/.f64 (fma.f64 eps 1/2 2) eps)) |
(*.f64 (/.f64 eps (fma.f64 eps 1/2 2)) (fma.f64 eps (*.f64 eps 1/4) -4)) |
(*.f64 (fma.f64 eps (*.f64 eps 1/4) -4) (/.f64 eps (fma.f64 eps 1/2 2))) |
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 eps 3) 1/8) -8) eps) (+.f64 (*.f64 (*.f64 eps eps) 1/4) (-.f64 4 (*.f64 eps -1)))) |
(/.f64 eps (/.f64 (fma.f64 (*.f64 eps eps) 1/4 (-.f64 4 (*.f64 eps -1))) (fma.f64 (pow.f64 eps 3) 1/8 -8))) |
(/.f64 eps (/.f64 (-.f64 (fma.f64 (*.f64 eps eps) 1/4 4) (neg.f64 eps)) (fma.f64 (pow.f64 eps 3) 1/8 -8))) |
(/.f64 (fma.f64 eps -8 (*.f64 1/8 (pow.f64 eps 4))) (fma.f64 eps (*.f64 eps 1/4) (+.f64 eps 4))) |
(*.f64 eps (/.f64 (fma.f64 (pow.f64 eps 3) 1/8 -8) (+.f64 eps (fma.f64 eps (*.f64 eps 1/4) 4)))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 eps eps) 1/4) -4) eps) (fma.f64 eps 1/2 2)) |
(/.f64 (fma.f64 (*.f64 eps eps) 1/4 -4) (/.f64 (fma.f64 eps 1/2 2) eps)) |
(*.f64 (/.f64 eps (fma.f64 eps 1/2 2)) (fma.f64 eps (*.f64 eps 1/4) -4)) |
(*.f64 (fma.f64 eps (*.f64 eps 1/4) -4) (/.f64 eps (fma.f64 eps 1/2 2))) |
(pow.f64 (*.f64 eps (fma.f64 eps 1/2 -2)) 1) |
(fma.f64 (*.f64 eps 1/2) eps (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 eps 1/2 -2)) |
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps 1/2 -2))) 3) |
(fma.f64 (*.f64 eps 1/2) eps (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 eps 1/2 -2)) |
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 eps 1/2 -2)) 3) 1/3) |
(fma.f64 (*.f64 eps 1/2) eps (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 eps 1/2 -2)) |
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 eps 1/2 -2))) 2) |
(fma.f64 (*.f64 eps 1/2) eps (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 eps 1/2 -2)) |
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps 1/2 -2)) 2)) |
(fma.f64 (*.f64 eps 1/2) eps (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 eps 1/2 -2)) |
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 eps 1/2 -2))) |
(fma.f64 (*.f64 eps 1/2) eps (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 eps 1/2 -2)) |
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps 1/2 -2)) 3)) |
(fma.f64 (*.f64 eps 1/2) eps (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 eps 1/2 -2)) |
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 eps 1/2 -2) 3))) |
(fma.f64 (*.f64 eps 1/2) eps (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 eps 1/2 -2)) |
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 eps 1/2 -2) 3) (pow.f64 eps 3))) |
(fma.f64 (*.f64 eps 1/2) eps (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 eps 1/2 -2)) |
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 eps 1/2 -2)))) |
(fma.f64 (*.f64 eps 1/2) eps (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 eps 1/2 -2)) |
(exp.f64 (log.f64 (*.f64 eps (fma.f64 eps 1/2 -2)))) |
(fma.f64 (*.f64 eps 1/2) eps (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 eps 1/2 -2)) |
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 eps 1/2 -2)))) |
(fma.f64 (*.f64 eps 1/2) eps (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 eps 1/2 -2)) |
(fma.f64 eps (*.f64 eps 1/2) (*.f64 eps -2)) |
(fma.f64 (*.f64 eps 1/2) eps (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 eps 1/2 -2)) |
(fma.f64 (*.f64 eps 1/2) eps (*.f64 eps -2)) |
(fma.f64 (*.f64 eps 1/2) eps (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 eps 1/2 -2)) |
Compiled 578 to 400 computations (30.8% saved)
9 alts after pruning (2 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 41 | 1 | 42 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 5 | 5 |
| Total | 41 | 9 | 50 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 97.7% | (-.f64 (neg.f64 eps) (log1p.f64 eps)) |
| ✓ | 100.0% | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
| ▶ | 97.7% | (+.f64 (*.f64 eps -2) (*.f64 1/2 (*.f64 eps eps))) |
| ✓ | 99.3% | (+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
| ✓ | 97.7% | (*.f64 eps (+.f64 (*.f64 eps 1/2) -2)) |
| ✓ | 98.6% | (*.f64 -2 eps) |
| ✓ | 18.8% | (neg.f64 eps) |
| ✓ | 8.8% | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 5.2% | 0 | |
| ✓ | 97.7% | (-.f64 (neg.f64 eps) (log1p.f64 eps)) |
| ✓ | 100.0% | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
| ▶ | 97.7% | (+.f64 (*.f64 eps -2) (*.f64 1/2 (*.f64 eps eps))) |
| ✓ | 99.3% | (+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
| ✓ | 97.7% | (*.f64 eps (+.f64 (*.f64 eps 1/2) -2)) |
| ✓ | 98.6% | (*.f64 -2 eps) |
| ✓ | 18.8% | (neg.f64 eps) |
| ✓ | 8.8% | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 5.2% | 0 |
Compiled 118 to 88 computations (25.4% saved)
Found 1 expressions with local error:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 1/2 (*.f64 eps eps)) |
Compiled 25 to 14 computations (44% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | eps | @ | 0 | (*.f64 1/2 (*.f64 eps eps)) |
| 0.0ms | eps | @ | inf | (*.f64 1/2 (*.f64 eps eps)) |
| 0.0ms | eps | @ | -inf | (*.f64 1/2 (*.f64 eps eps)) |
| 1× | batch-egg-rewrite |
| 1058× | pow1 |
| 1024× | add-sqr-sqrt |
| 976× | add-exp-log |
| 976× | log1p-expm1-u |
| 976× | expm1-log1p-u |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 122 | 13 |
| 2 | 1383 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (*.f64 eps eps)) |
| Outputs |
|---|
(-.f64 (+.f64 1 (*.f64 1/2 (*.f64 eps eps))) 1) |
(pow.f64 (*.f64 1/2 (*.f64 eps eps)) 1) |
(pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 eps eps))) 3) |
(pow.f64 (pow.f64 (*.f64 1/2 (*.f64 eps eps)) 3) 1/3) |
(pow.f64 (*.f64 eps (sqrt.f64 1/2)) 2) |
(sqrt.f64 (*.f64 1/4 (pow.f64 eps 4))) |
(log.f64 (pow.f64 (exp.f64 1/2) (*.f64 eps eps))) |
(cbrt.f64 (pow.f64 (*.f64 1/2 (*.f64 eps eps)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 1/2 (*.f64 eps eps)))) |
(exp.f64 (log.f64 (*.f64 1/2 (*.f64 eps eps)))) |
(log1p.f64 (expm1.f64 (*.f64 1/2 (*.f64 eps eps)))) |
| 1× | egg-herbie |
| 2120× | log-prod |
| 1106× | distribute-rgt-in |
| 1092× | distribute-lft-in |
| 768× | associate-*r* |
| 688× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 299 |
| 1 | 90 | 299 |
| 2 | 319 | 299 |
| 3 | 2131 | 299 |
| 4 | 7005 | 299 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(-.f64 (+.f64 1 (*.f64 1/2 (*.f64 eps eps))) 1) |
(pow.f64 (*.f64 1/2 (*.f64 eps eps)) 1) |
(pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 eps eps))) 3) |
(pow.f64 (pow.f64 (*.f64 1/2 (*.f64 eps eps)) 3) 1/3) |
(pow.f64 (*.f64 eps (sqrt.f64 1/2)) 2) |
(sqrt.f64 (*.f64 1/4 (pow.f64 eps 4))) |
(log.f64 (pow.f64 (exp.f64 1/2) (*.f64 eps eps))) |
(cbrt.f64 (pow.f64 (*.f64 1/2 (*.f64 eps eps)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 1/2 (*.f64 eps eps)))) |
(exp.f64 (log.f64 (*.f64 1/2 (*.f64 eps eps)))) |
(log1p.f64 (expm1.f64 (*.f64 1/2 (*.f64 eps eps)))) |
| Outputs |
|---|
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (*.f64 eps eps)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (*.f64 eps eps)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (*.f64 eps eps)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (*.f64 eps eps)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (*.f64 eps eps)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (*.f64 eps eps)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (*.f64 eps eps)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (*.f64 eps eps)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (*.f64 eps eps)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (*.f64 eps eps)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (*.f64 eps eps)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (*.f64 eps eps)) |
(-.f64 (+.f64 1 (*.f64 1/2 (*.f64 eps eps))) 1) |
(*.f64 1/2 (*.f64 eps eps)) |
(pow.f64 (*.f64 1/2 (*.f64 eps eps)) 1) |
(*.f64 1/2 (*.f64 eps eps)) |
(pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 eps eps))) 3) |
(*.f64 1/2 (*.f64 eps eps)) |
(pow.f64 (pow.f64 (*.f64 1/2 (*.f64 eps eps)) 3) 1/3) |
(*.f64 1/2 (*.f64 eps eps)) |
(pow.f64 (*.f64 eps (sqrt.f64 1/2)) 2) |
(*.f64 1/2 (*.f64 eps eps)) |
(sqrt.f64 (*.f64 1/4 (pow.f64 eps 4))) |
(*.f64 1/2 (*.f64 eps eps)) |
(log.f64 (pow.f64 (exp.f64 1/2) (*.f64 eps eps))) |
(*.f64 1/2 (*.f64 eps eps)) |
(cbrt.f64 (pow.f64 (*.f64 1/2 (*.f64 eps eps)) 3)) |
(*.f64 1/2 (*.f64 eps eps)) |
(expm1.f64 (log1p.f64 (*.f64 1/2 (*.f64 eps eps)))) |
(*.f64 1/2 (*.f64 eps eps)) |
(exp.f64 (log.f64 (*.f64 1/2 (*.f64 eps eps)))) |
(*.f64 1/2 (*.f64 eps eps)) |
(log1p.f64 (expm1.f64 (*.f64 1/2 (*.f64 eps eps)))) |
(*.f64 1/2 (*.f64 eps eps)) |
Compiled 144 to 99 computations (31.3% saved)
9 alts after pruning (1 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 13 | 0 | 13 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 7 | 7 |
| Total | 13 | 9 | 22 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 97.7% | (-.f64 (neg.f64 eps) (log1p.f64 eps)) |
| ✓ | 100.0% | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
| ✓ | 97.7% | (+.f64 (*.f64 eps -2) (*.f64 1/2 (*.f64 eps eps))) |
| ✓ | 99.3% | (+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
| ✓ | 97.7% | (*.f64 eps (+.f64 (*.f64 eps 1/2) -2)) |
| ✓ | 98.6% | (*.f64 -2 eps) |
| ✓ | 18.8% | (neg.f64 eps) |
| ✓ | 8.8% | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 5.2% | 0 |
Compiled 110 to 77 computations (30% saved)
| Inputs |
|---|
0 |
(neg.f64 eps) |
(*.f64 -2 eps) |
(*.f64 eps (+.f64 (*.f64 eps 1/2) -2)) |
(+.f64 (*.f64 eps -2) (*.f64 1/2 (*.f64 eps eps))) |
(-.f64 (neg.f64 eps) (log1p.f64 eps)) |
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
| Outputs |
|---|
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
3 calls:
| 6.0ms | eps |
| 2.0ms | (/.f64 (-.f64 1 eps) (+.f64 1 eps)) |
| 2.0ms | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | eps |
| 100.0% | 1 | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 100.0% | 1 | (/.f64 (-.f64 1 eps) (+.f64 1 eps)) |
Compiled 70 to 47 computations (32.9% saved)
| Inputs |
|---|
0 |
(neg.f64 eps) |
(*.f64 -2 eps) |
(*.f64 eps (+.f64 (*.f64 eps 1/2) -2)) |
(+.f64 (*.f64 eps -2) (*.f64 1/2 (*.f64 eps eps))) |
(-.f64 (neg.f64 eps) (log1p.f64 eps)) |
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
| Outputs |
|---|
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
3 calls:
| 5.0ms | eps |
| 2.0ms | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 2.0ms | (/.f64 (-.f64 1 eps) (+.f64 1 eps)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | eps |
| 99.3% | 1 | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 99.3% | 1 | (/.f64 (-.f64 1 eps) (+.f64 1 eps)) |
Compiled 64 to 45 computations (29.7% saved)
| Inputs |
|---|
0 |
(neg.f64 eps) |
(*.f64 -2 eps) |
(*.f64 eps (+.f64 (*.f64 eps 1/2) -2)) |
(+.f64 (*.f64 eps -2) (*.f64 1/2 (*.f64 eps eps))) |
(-.f64 (neg.f64 eps) (log1p.f64 eps)) |
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| Outputs |
|---|
(*.f64 -2 eps) |
3 calls:
| 5.0ms | eps |
| 3.0ms | (/.f64 (-.f64 1 eps) (+.f64 1 eps)) |
| 2.0ms | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 1 | eps |
| 98.6% | 1 | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 98.6% | 1 | (/.f64 (-.f64 1 eps) (+.f64 1 eps)) |
Compiled 55 to 38 computations (30.9% saved)
| Inputs |
|---|
0 |
(neg.f64 eps) |
| Outputs |
|---|
(neg.f64 eps) |
1 calls:
| 3.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 18.8% | 1 | eps |
Compiled 6 to 4 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
1 calls:
| 3.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 5.2% | 1 | eps |
Compiled 4 to 3 computations (25% saved)
| 1× | egg-herbie |
| 8× | +-commutative |
| 8× | *-commutative |
| 6× | sub-neg |
| 4× | neg-mul-1 |
| 4× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 57 |
| 1 | 24 | 57 |
| 2 | 29 | 57 |
| 3 | 32 | 57 |
| 4 | 33 | 57 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(*.f64 -2 eps) |
(neg.f64 eps) |
0 |
| Outputs |
|---|
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(+.f64 (*.f64 eps -2) (*.f64 -2/3 (pow.f64 eps 3))) |
(*.f64 -2 eps) |
(*.f64 eps -2) |
(neg.f64 eps) |
0 |
Compiled 26 to 20 computations (23.1% saved)
| 8722× | fma-def |
| 1886× | fma-def |
| 1534× | prod-diff |
| 1220× | unsub-neg |
| 1030× | fma-neg |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 73 |
| 1 | 37 | 57 |
| 2 | 70 | 57 |
| 3 | 148 | 57 |
| 4 | 377 | 57 |
| 5 | 984 | 57 |
| 6 | 1861 | 57 |
| 7 | 2532 | 57 |
| 8 | 3523 | 57 |
| 9 | 4766 | 57 |
| 10 | 5322 | 57 |
| 11 | 5483 | 57 |
| 12 | 5658 | 57 |
| 13 | 6107 | 57 |
| 14 | 7004 | 57 |
| 15 | 7072 | 57 |
| 16 | 7104 | 57 |
| 17 | 7124 | 57 |
| 18 | 7216 | 57 |
| 19 | 7357 | 57 |
| 20 | 7477 | 57 |
| 21 | 7477 | 57 |
| 0 | 13 | 66 |
| 1 | 279 | 54 |
| 2 | 3805 | 8 |
| 0 | 208 | 2117 |
| 1 | 523 | 1985 |
| 2 | 2061 | 1967 |
| 0 | 308 | 2893 |
| 1 | 741 | 2691 |
| 2 | 1970 | 2641 |
| 3 | 7561 | 2641 |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
Compiled 199 to 147 computations (26.1% saved)
Compiled 94 to 70 computations (25.5% saved)
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