
Time bar (total: 4.1s)
| 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 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 2 |
| 66.7% | 50% | 25% | 0% | 0% | 25% | 0% | 3 |
| 83.3% | 62.5% | 12.5% | 0% | 0% | 25% | 0% | 4 |
| 91.7% | 68.7% | 6.2% | 0% | 0% | 25% | 0% | 5 |
| 95.8% | 71.8% | 3.1% | 0% | 0% | 25% | 0% | 6 |
| 97.9% | 73.4% | 1.6% | 0% | 0% | 25% | 0% | 7 |
| 99% | 74.2% | 0.8% | 0% | 0% | 25% | 0% | 8 |
| 99.5% | 74.6% | 0.4% | 0% | 0% | 25% | 0% | 9 |
| 99.7% | 74.8% | 0.2% | 0% | 0% | 25% | 0% | 10 |
| 99.9% | 74.9% | 0.1% | 0% | 0% | 25% | 0% | 11 |
| 99.9% | 74.9% | 0% | 0% | 0% | 25% | 0% | 12 |
Compiled 10 to 8 computations (20% saved)
| 993.0ms | 8255× | body | 256 | valid |
| 0.0ms | 1× | body | 2048 | valid |
| 0.0ms | 1× | body | 256 | invalid |
| 1× | egg-herbie |
| 36× | fma-def |
| 24× | sub-neg |
| 20× | +-commutative |
| 12× | div-sub |
| 10× | associate-+l- |
| 256× | No Errors |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 77 |
| 1 | 25 | 73 |
| 2 | 39 | 73 |
| 3 | 54 | 73 |
| 4 | 66 | 73 |
| 5 | 85 | 73 |
| 6 | 109 | 73 |
| 7 | 134 | 73 |
| 8 | 135 | 73 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 (neg.f64 x) 1)))) |
| Outputs |
|---|
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 (neg.f64 x) 1)))) |
(/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 (neg.f64 x))))) |
(/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (-.f64 1 x)))) |
Compiled 34 to 26 computations (23.5% saved)
Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| ▶ | 99.8% | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
Compiled 18 to 14 computations (22.2% saved)
Found 3 expressions with local error:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (sqrt.f64 (+.f64 x 1)) |
| ✓ | 100.0% | (+.f64 1 (sqrt.f64 (+.f64 x 1))) |
| ✓ | 99.8% | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
Compiled 25 to 19 computations (24% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| 1.0ms | x | @ | -inf | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| 0.0ms | x | @ | 0 | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| 0.0ms | x | @ | inf | (+.f64 1 (sqrt.f64 (+.f64 x 1))) |
| 0.0ms | x | @ | -inf | (+.f64 1 (sqrt.f64 (+.f64 x 1))) |
| 1× | batch-egg-rewrite |
| 882× | log-prod |
| 848× | prod-diff |
| 678× | prod-exp |
| 596× | fma-def |
| 560× | pow-prod-down |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 51 |
| 1 | 195 | 51 |
| 2 | 2725 | 51 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(sqrt.f64 (+.f64 x 1)) |
| Outputs |
|---|
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 1) |
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1))) |
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -2) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1) |
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) 1/2) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) 1/3) |
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) |
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1) |
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)) 1/3) |
(pow.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 1) -1) |
(neg.f64 (/.f64 x (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1))) |
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) |
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) |
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))) |
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) |
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1)) |
(exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1) 1)) |
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 3)) |
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 1/3)) |
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 2)) |
(exp.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 x)) -1)) |
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))) |
(exp.f64 (+.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (*.f64 (log.f64 x) 1))) |
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1) |
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1) |
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) |
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x))) |
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1) |
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) |
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2) 1/2) |
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) 1/3) |
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2) |
(pow.f64 (/.f64 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) -1) |
(pow.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)) -1) |
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) |
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) |
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) 1)) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) 1) 1)) |
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 3)) |
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1/3)) |
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 2)) |
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1) |
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 1) |
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) 1) |
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) 1) |
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1) |
(+.f64 0 (sqrt.f64 (+.f64 x 1))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1) |
(*.f64 1 (sqrt.f64 (+.f64 x 1))) |
(*.f64 (sqrt.f64 (+.f64 x 1)) 1) |
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6)) |
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1))) |
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4)) |
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (-.f64 1 x)))) |
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1))) |
(pow.f64 (+.f64 x 1) 1/2) |
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1) |
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2) |
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3) |
(pow.f64 (pow.f64 (+.f64 x 1) 2) 1/4) |
(pow.f64 (pow.f64 (+.f64 x 1) 3) 1/6) |
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2) |
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3) |
(fabs.f64 (sqrt.f64 (+.f64 x 1))) |
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1))))) |
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) |
(expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) 1)) |
(hypot.f64 1 (sqrt.f64 x)) |
(exp.f64 (*.f64 1/2 (log1p.f64 x))) |
(exp.f64 (*.f64 (log1p.f64 x) 1/2)) |
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1)) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1) 1/2)) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1/2) 1)) |
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1) 1)) |
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 3)) |
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 2)) |
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3)) |
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 3) 1/3)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1)))) |
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1) |
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1 -1) |
(fma.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) -1) |
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -1) |
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) -1) |
(fma.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) -1) |
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))) -1) |
| 1× | egg-herbie |
| 1584× | fma-def |
| 892× | unswap-sqr |
| 880× | distribute-lft-in |
| 852× | distribute-rgt-in |
| 426× | exp-prod |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 311 | 3901 |
| 1 | 698 | 3617 |
| 2 | 2341 | 3517 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))) |
2 |
(+.f64 2 (*.f64 1/2 x)) |
(+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))) |
(+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))) |
1 |
(+.f64 1 (*.f64 1/2 x)) |
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))) |
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))) |
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 1) |
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1))) |
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -2) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1) |
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) 1/2) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) 1/3) |
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) |
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1) |
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)) 1/3) |
(pow.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 1) -1) |
(neg.f64 (/.f64 x (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1))) |
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) |
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) |
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))) |
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) |
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1)) |
(exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1) 1)) |
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 3)) |
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 1/3)) |
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 2)) |
(exp.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 x)) -1)) |
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))) |
(exp.f64 (+.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (*.f64 (log.f64 x) 1))) |
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1) |
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1) |
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) |
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x))) |
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1) |
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) |
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2) 1/2) |
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) 1/3) |
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2) |
(pow.f64 (/.f64 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) -1) |
(pow.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)) -1) |
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) |
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) |
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) 1)) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) 1) 1)) |
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 3)) |
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1/3)) |
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 2)) |
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1) |
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 1) |
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) 1) |
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) 1) |
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1) |
(+.f64 0 (sqrt.f64 (+.f64 x 1))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1) |
(*.f64 1 (sqrt.f64 (+.f64 x 1))) |
(*.f64 (sqrt.f64 (+.f64 x 1)) 1) |
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6)) |
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1))) |
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4)) |
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (-.f64 1 x)))) |
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1))) |
(pow.f64 (+.f64 x 1) 1/2) |
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1) |
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2) |
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3) |
(pow.f64 (pow.f64 (+.f64 x 1) 2) 1/4) |
(pow.f64 (pow.f64 (+.f64 x 1) 3) 1/6) |
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2) |
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3) |
(fabs.f64 (sqrt.f64 (+.f64 x 1))) |
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1))))) |
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) |
(expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) 1)) |
(hypot.f64 1 (sqrt.f64 x)) |
(exp.f64 (*.f64 1/2 (log1p.f64 x))) |
(exp.f64 (*.f64 (log1p.f64 x) 1/2)) |
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1)) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1) 1/2)) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1/2) 1)) |
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1) 1)) |
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 3)) |
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 2)) |
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3)) |
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 3) 1/3)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1)))) |
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1) |
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1 -1) |
(fma.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) -1) |
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -1) |
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) -1) |
(fma.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) -1) |
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))) -1) |
| Outputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)) |
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x)) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))) |
(fma.f64 1/2 x (*.f64 (*.f64 x x) (+.f64 -1/8 (*.f64 x 1/16)))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 -5/128 (pow.f64 x 4) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x)))) |
(fma.f64 -5/128 (pow.f64 x 4) (fma.f64 1/2 x (*.f64 (*.f64 x x) (+.f64 -1/8 (*.f64 x 1/16))))) |
2 |
(+.f64 2 (*.f64 1/2 x)) |
(+.f64 (*.f64 1/2 x) 2) |
(fma.f64 1/2 x 2) |
(+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))) |
(+.f64 2 (fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))) |
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) 2)) |
(+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))) |
(+.f64 2 (fma.f64 -1/8 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x)))) |
(+.f64 (fma.f64 1/2 x 2) (*.f64 (*.f64 x x) (+.f64 -1/8 (*.f64 x 1/16)))) |
1 |
(+.f64 1 (*.f64 1/2 x)) |
(+.f64 (*.f64 1/2 x) 1) |
(fma.f64 1/2 x 1) |
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))) |
(+.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x)) 1) |
(+.f64 (*.f64 x (*.f64 x -1/8)) (fma.f64 1/2 x 1)) |
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 1)) |
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))) |
(+.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))) 1) |
(+.f64 (fma.f64 1/2 x 1) (*.f64 (*.f64 x x) (+.f64 -1/8 (*.f64 x 1/16)))) |
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 1) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1))) |
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -2) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -2) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)) |
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)))) |
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(sqrt.f64 (exp.f64 (log1p.f64 x))) |
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1) 1)) |
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2) |
(sqrt.f64 (exp.f64 (log1p.f64 x))) |
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 3)) |
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2) |
(sqrt.f64 (exp.f64 (log1p.f64 x))) |
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 2)) |
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2) |
(sqrt.f64 (exp.f64 (log1p.f64 x))) |
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3)) |
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2) |
(sqrt.f64 (exp.f64 (log1p.f64 x))) |
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 3) 1/3)) |
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2) |
(sqrt.f64 (exp.f64 (log1p.f64 x))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1)))) |
(sqrt.f64 (+.f64 x 1)) |
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1) |
(sqrt.f64 (+.f64 x 1)) |
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1 -1) |
(sqrt.f64 (+.f64 x 1)) |
(fma.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) -1) |
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -1) |
(fma.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) -1) |
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) -1) |
(sqrt.f64 (+.f64 x 1)) |
(fma.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) -1) |
(+.f64 -1 (/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(+.f64 -1 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))) -1) |
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))) -1) |
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))) |
Compiled 2608 to 2036 computations (21.9% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 190 | 4 | 194 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 190 | 5 | 195 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 67.7% | (pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) |
| ▶ | 68.3% | (/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
| ✓ | 99.8% | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| ▶ | 68.0% | (/.f64 x 2) |
| ▶ | 38.3% | (+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
| ▶ | 67.7% | (pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) |
| ▶ | 68.3% | (/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
| ✓ | 99.8% | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| ▶ | 68.0% | (/.f64 x 2) |
| ▶ | 38.3% | (+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
Compiled 80 to 64 computations (20% saved)
Found 7 expressions with local error:
| New | Accuracy | Program |
|---|---|---|
| 100.0% | (+.f64 1 (sqrt.f64 (+.f64 x 1))) | |
| ✓ | 99.9% | (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
| 99.8% | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) | |
| ✓ | 99.4% | (pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) |
| ✓ | 100.0% | (/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
| 100.0% | (sqrt.f64 (+.f64 x 1)) | |
| ✓ | 68.0% | (+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
Compiled 85 to 64 computations (24.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | (pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) |
| 3.0ms | x | @ | -inf | (pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) |
| 2.0ms | x | @ | -inf | (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
| 1.0ms | x | @ | inf | (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
| 1.0ms | x | @ | 0 | (pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) |
| 1× | batch-egg-rewrite |
| 1720× | prod-diff |
| 1164× | fma-def |
| 592× | expm1-udef |
| 590× | log1p-udef |
| 380× | add-sqr-sqrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 76 |
| 1 | 404 | 70 |
| 2 | 5184 | 70 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) |
(sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
| Outputs |
|---|
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) 1) |
(-.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1) |
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2)) |
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/4) (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/4) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/4)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/4)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) 1) (-.f64 (pow.f64 (+.f64 x 1) 1/4) 1)) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) (cbrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) |
(/.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1)) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) |
(/.f64 1 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 1)) |
(/.f64 -1 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 x))) |
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x))) |
(/.f64 (neg.f64 x) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (-.f64 (+.f64 x 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (sqrt.f64 x)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(/.f64 (/.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) |
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 3) |
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 2) 1/2) |
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1) |
(neg.f64 (/.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1)))))) |
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 2)) |
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))) |
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) -1) |
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 -1) |
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1) |
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)) -1) |
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1) |
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) -1) |
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)) -1) |
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2) -1) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2)))) 1) |
(*.f64 x (/.f64 1 (fma.f64 x 1/2 2))) |
(*.f64 1 (/.f64 x (fma.f64 x 1/2 2))) |
(*.f64 (/.f64 x (fma.f64 x 1/2 2)) 1) |
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2)))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2)))) |
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2)))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2)))) |
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x 1/2 2)))) |
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) x) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 1/2 2)))) |
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 x (sqrt.f64 (fma.f64 x 1/2 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x 1/2 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x 1/2 2)))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x 1/2 2))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 1/2 2)))) |
(*.f64 (/.f64 x (fma.f64 1/8 (pow.f64 x 3) 8)) (-.f64 (fma.f64 1/4 (*.f64 x x) 4) x)) |
(*.f64 (/.f64 x (fma.f64 1/4 (*.f64 x x) -4)) (fma.f64 x 1/2 -2)) |
(pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 1) |
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 3) |
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3) 1/3) |
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2) |
(pow.f64 (/.f64 (fma.f64 x 1/2 2) x) -1) |
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x 1/2 2)))) |
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2)) |
(log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2))))) |
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 2) 3))) |
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2)))) |
(exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2)))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) 1) |
(-.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1) |
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2)) |
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/4) (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/4) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/4)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/4)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) 1) (-.f64 (pow.f64 (+.f64 x 1) 1/4) 1)) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) (cbrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) |
(/.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1)) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) |
(/.f64 1 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 1)) |
(/.f64 -1 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 x))) |
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x))) |
(/.f64 (neg.f64 x) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (-.f64 (+.f64 x 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (sqrt.f64 x)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(/.f64 (/.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(neg.f64 (/.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1)))))) |
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 2)) |
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))) |
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) -1) |
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 -1) |
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1) |
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)) -1) |
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1) |
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) -1) |
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)) -1) |
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2) -1) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) 1) |
(*.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1) |
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (cbrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/4) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/4)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/2)) |
(*.f64 (sqrt.f64 x) (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1/2)) |
(/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) |
(/.f64 1 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (sqrt.f64 x))) |
(/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (sqrt.f64 (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/2) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1) |
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) 3) |
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3/2) 1/3) |
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/4) 2) |
(fabs.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(log.f64 (exp.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))))) |
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(exp.f64 (log.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1/2)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) 1)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
| 1× | egg-herbie |
| 1100× | fma-def |
| 944× | distribute-rgt-in |
| 928× | distribute-lft-in |
| 458× | log-prod |
| 310× | exp-prod |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 351 | 6483 |
| 1 | 790 | 5921 |
| 2 | 2735 | 5885 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))) |
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/128 (pow.f64 x 4)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))) |
2 |
(-.f64 2 (*.f64 8 (/.f64 1 x))) |
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x))) |
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3))))) |
2 |
(-.f64 2 (*.f64 8 (/.f64 1 x))) |
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x))) |
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) 1) |
(-.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1) |
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2)) |
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/4) (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/4) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/4)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/4)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) 1) (-.f64 (pow.f64 (+.f64 x 1) 1/4) 1)) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) (cbrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) |
(/.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1)) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) |
(/.f64 1 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 1)) |
(/.f64 -1 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 x))) |
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x))) |
(/.f64 (neg.f64 x) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (-.f64 (+.f64 x 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (sqrt.f64 x)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(/.f64 (/.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) |
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 3) |
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 2) 1/2) |
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1) |
(neg.f64 (/.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1)))))) |
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 2)) |
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))) |
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) -1) |
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 -1) |
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1) |
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)) -1) |
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1) |
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) -1) |
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)) -1) |
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2) -1) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2)))) 1) |
(*.f64 x (/.f64 1 (fma.f64 x 1/2 2))) |
(*.f64 1 (/.f64 x (fma.f64 x 1/2 2))) |
(*.f64 (/.f64 x (fma.f64 x 1/2 2)) 1) |
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2)))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2)))) |
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2)))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2)))) |
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x 1/2 2)))) |
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) x) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 1/2 2)))) |
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 x (sqrt.f64 (fma.f64 x 1/2 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x 1/2 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x 1/2 2)))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x 1/2 2))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 1/2 2)))) |
(*.f64 (/.f64 x (fma.f64 1/8 (pow.f64 x 3) 8)) (-.f64 (fma.f64 1/4 (*.f64 x x) 4) x)) |
(*.f64 (/.f64 x (fma.f64 1/4 (*.f64 x x) -4)) (fma.f64 x 1/2 -2)) |
(pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 1) |
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 3) |
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3) 1/3) |
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2) |
(pow.f64 (/.f64 (fma.f64 x 1/2 2) x) -1) |
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x 1/2 2)))) |
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2)) |
(log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2))))) |
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 2) 3))) |
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2)))) |
(exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2)))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) 1) |
(-.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1) |
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2)) |
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/4) (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/4) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/4)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/4)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) 1) (-.f64 (pow.f64 (+.f64 x 1) 1/4) 1)) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) (cbrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) |
(/.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1)) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) |
(/.f64 1 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 1)) |
(/.f64 -1 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 x))) |
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x))) |
(/.f64 (neg.f64 x) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (-.f64 (+.f64 x 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (sqrt.f64 x)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(/.f64 (/.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(neg.f64 (/.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1)))))) |
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 2)) |
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))) |
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) -1) |
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 -1) |
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1) |
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)) -1) |
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1) |
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) -1) |
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)) -1) |
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2) -1) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) 1) |
(*.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1) |
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (cbrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/4) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/4)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/2)) |
(*.f64 (sqrt.f64 x) (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1/2)) |
(/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) |
(/.f64 1 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (sqrt.f64 x))) |
(/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (sqrt.f64 (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/2) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1) |
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) 3) |
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3/2) 1/3) |
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/4) 2) |
(fabs.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(log.f64 (exp.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))))) |
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(exp.f64 (log.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1/2)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) 1)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
| Outputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)) |
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x)) |
(fma.f64 1/2 x (*.f64 -1/8 (*.f64 x x))) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 1/2 x (*.f64 (*.f64 x x) (+.f64 -1/8 (*.f64 x 1/16)))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 -5/128 (pow.f64 x 4) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 -5/128 (pow.f64 x 4) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -5/128 (pow.f64 x 4) (fma.f64 1/2 x (*.f64 (*.f64 x x) (+.f64 -1/8 (*.f64 x 1/16))))) |
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)) |
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x)) |
(fma.f64 1/2 x (*.f64 -1/8 (*.f64 x x))) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (*.f64 1/2 x))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 (pow.f64 x 3) 1/32))) |
(fma.f64 1/2 x (*.f64 (*.f64 x x) (+.f64 -1/8 (*.f64 x 1/32)))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/128 (pow.f64 x 4)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 -1/128 (pow.f64 x 4) (fma.f64 1/32 (pow.f64 x 3) (*.f64 1/2 x)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/128 (fma.f64 1/2 x (*.f64 (pow.f64 x 3) 1/32)))) |
(fma.f64 (pow.f64 x 4) -1/128 (fma.f64 1/2 x (*.f64 (*.f64 x x) (+.f64 -1/8 (*.f64 x 1/32))))) |
2 |
(-.f64 2 (*.f64 8 (/.f64 1 x))) |
(-.f64 2 (/.f64 8 x)) |
(+.f64 2 (/.f64 -8 x)) |
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x))) |
(-.f64 (+.f64 2 (/.f64 32 (*.f64 x x))) (/.f64 8 x)) |
(+.f64 2 (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 -8 x))) |
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 2 (/.f64 32 (*.f64 x x))) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3)))) |
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3))))) |
(+.f64 2 (+.f64 (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 -8 x)) (/.f64 -128 (pow.f64 x 3)))) |
2 |
(-.f64 2 (*.f64 8 (/.f64 1 x))) |
(-.f64 2 (/.f64 8 x)) |
(+.f64 2 (/.f64 -8 x)) |
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x))) |
(-.f64 (+.f64 2 (/.f64 32 (*.f64 x x))) (/.f64 8 x)) |
(+.f64 2 (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 -8 x))) |
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 2 (/.f64 32 (*.f64 x x))) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3)))) |
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(*.f64 (/.f64 x (fma.f64 x 1/2 2)) 1) |
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(*.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) (cbrt.f64 (pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 2))) |
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(/.f64 x (fma.f64 x 1/2 2)) |
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(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3) 1/3) |
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(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 x 2) (neg.f64 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 2))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 x 2) (neg.f64 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 2))) |
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(/.f64 x (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (sqrt.f64 x)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (sqrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (sqrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(/.f64 (/.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(neg.f64 (/.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 2)) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3)) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))) |
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1)) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) -1) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 -1) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1) |
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)) -1) |
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1) |
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) -1) |
(fma.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) -1) |
(fma.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) -1) |
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)) -1) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2) -1) |
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) -1) |
(fma.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) -1) |
(fma.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) -1) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) 1) |
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(*.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1) |
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (cbrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (cbrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/4) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/4)) |
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/2)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (sqrt.f64 x) (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(/.f64 1 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (sqrt.f64 x))) |
(/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) (sqrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (sqrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1/2)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) (sqrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (sqrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) |
(/.f64 1 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (sqrt.f64 x))) |
(/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(/.f64 1 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (sqrt.f64 x))) |
(/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (sqrt.f64 (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (sqrt.f64 (-.f64 (+.f64 x 2) (neg.f64 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (sqrt.f64 (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 2)))) |
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(/.f64 1 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (sqrt.f64 x))) |
(/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/2) |
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1) |
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) 3) |
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3/2) 1/3) |
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3/2)) |
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/4) 2) |
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(fabs.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(log.f64 (exp.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))))) |
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(exp.f64 (log.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1/2)) |
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) 1)) |
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
Compiled 6709 to 5438 computations (18.9% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 462 | 1 | 463 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 1 | 1 |
| Total | 462 | 6 | 468 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 67.7% | (pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) |
| ✓ | 68.3% | (/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
| ✓ | 99.8% | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| ✓ | 68.0% | (/.f64 x 2) |
| ✓ | 38.3% | (+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
| 4.8% | 2 | |
| ✓ | 67.7% | (pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) |
| ✓ | 68.3% | (/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
| ✓ | 99.8% | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| ✓ | 68.0% | (/.f64 x 2) |
| ✓ | 38.3% | (+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
| 4.8% | 2 |
Compiled 84 to 68 computations (19% saved)
Compiled 1 to 1 computations (0% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 5 | 5 |
| Total | 0 | 6 | 6 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 67.7% | (pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) |
| ✓ | 68.3% | (/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
| ✓ | 99.8% | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| ✓ | 68.0% | (/.f64 x 2) |
| ✓ | 38.3% | (+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
| 4.8% | 2 | |
| ✓ | 67.7% | (pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) |
| ✓ | 68.3% | (/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
| ✓ | 99.8% | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| ✓ | 68.0% | (/.f64 x 2) |
| ✓ | 38.3% | (+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
| 4.8% | 2 |
Compiled 84 to 68 computations (19% saved)
Compiled 1 to 1 computations (0% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 5 | 5 |
| Total | 0 | 6 | 6 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 67.7% | (pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) |
| ✓ | 68.3% | (/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
| ✓ | 99.8% | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| ✓ | 68.0% | (/.f64 x 2) |
| ✓ | 38.3% | (+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
| 4.8% | 2 |
Compiled 79 to 63 computations (20.3% saved)
| Inputs |
|---|
2 |
(/.f64 x 2) |
(/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) |
| Outputs |
|---|
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
2 calls:
| 43.0ms | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| 18.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
Compiled 48 to 37 computations (22.9% saved)
| Inputs |
|---|
2 |
(/.f64 x 2) |
(/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
| Outputs |
|---|
(/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
1 calls:
| 33.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 2 | x |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
2 |
(/.f64 x 2) |
(/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
| Outputs |
|---|
(/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
1 calls:
| 16.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.3% | 1 | x |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
2 |
(/.f64 x 2) |
| Outputs |
|---|
(/.f64 x 2) |
1 calls:
| 15.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.0% | 1 | x |
Compiled 7 to 5 computations (28.6% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
2 |
| Outputs |
|---|
2 |
1 calls:
| 16.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.8% | 1 | x |
Compiled 4 to 3 computations (25% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 48.0ms | 1.0229931643279276e-13 | 0.00038573294429484166 |
| 42.0ms | 144× | body | 256 | valid |
Compiled 166 to 136 computations (18.1% saved)
| 1× | egg-herbie |
| 8× | +-commutative |
| 2× | 1-exp |
| 2× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 95 |
| 1 | 30 | 95 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(if (<=.f64 x 6788401819125115/590295810358705651712) (/.f64 x (+.f64 (*.f64 1/2 x) 2)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
(/.f64 x 2) |
2 |
| Outputs |
|---|
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(if (<=.f64 x 6788401819125115/590295810358705651712) (/.f64 x (+.f64 (*.f64 1/2 x) 2)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(if (<=.f64 x 6788401819125115/590295810358705651712) (/.f64 x (+.f64 (*.f64 x 1/2) 2)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
(/.f64 x (+.f64 (*.f64 x 1/2) 2)) |
(/.f64 x 2) |
2 |
Compiled 41 to 32 computations (22% saved)
| 1584× | fma-def |
| 1584× | fma-def |
| 892× | unswap-sqr |
| 892× | unswap-sqr |
| 882× | log-prod |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 311 | 3901 |
| 1 | 698 | 3617 |
| 2 | 2341 | 3517 |
| 0 | 9 | 51 |
| 1 | 195 | 51 |
| 2 | 2725 | 51 |
| 0 | 311 | 3901 |
| 1 | 698 | 3617 |
| 2 | 2341 | 3517 |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
Compiled 242 to 188 computations (22.3% saved)
Compiled 92 to 70 computations (23.9% saved)
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