Time bar (total: 6.4s)
| 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 |
| 33.3% | 25% | 50% | 0% | 0% | 25% | 0% | 3 |
| 66.7% | 50% | 25% | 0% | 0% | 25% | 0% | 4 |
| 83.3% | 62.5% | 12.5% | 0% | 0% | 25% | 0% | 5 |
| 91.7% | 68.7% | 6.2% | 0% | 0% | 25% | 0% | 6 |
| 95.8% | 71.8% | 3.1% | 0% | 0% | 25% | 0% | 7 |
| 97.9% | 73.4% | 1.6% | 0% | 0% | 25% | 0% | 8 |
| 99% | 74.2% | 0.8% | 0% | 0% | 25% | 0% | 9 |
| 99.5% | 74.6% | 0.4% | 0% | 0% | 25% | 0% | 10 |
| 99.7% | 74.8% | 0.2% | 0% | 0% | 25% | 0% | 11 |
| 99.9% | 74.9% | 0.1% | 0% | 0% | 25% | 0% | 12 |
Compiled 10 to 8 computations (20% saved)
| 860.0ms | 8252× | body | 256 | valid |
| 2.0ms | 4× | body | 2048 | valid |
| 2× | egg-herbie |
| 4× | +-commutative |
| 2× | 1-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 13 | 23 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| Outputs |
|---|
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
Compiled 10 to 8 computations (20% saved)
| 1× | egg-herbie |
| 4× | +-commutative |
| 2× | 1-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 13 | 23 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| Outputs |
|---|
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
Compiled 9 to 7 computations (22.2% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
Compiled 9 to 7 computations (22.2% saved)
Found 2 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (+.f64 1 (sqrt.f64 (+.f64 x 1))) |
| ✓ | 99.7% | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
Compiled 24 to 18 computations (25% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | 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 |
| 1280× | associate-*r/ |
| 946× | associate-*l/ |
| 936× | associate-/r* |
| 858× | *-commutative |
| 696× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 40 |
| 1 | 194 | 40 |
| 2 | 2690 | 40 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 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1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 1))))) |
| 1× | egg-herbie |
| 674× | associate-+l+ |
| 632× | distribute-lft-neg-out |
| 568× | distribute-rgt-neg-out |
| 542× | +-commutative |
| 484× | times-frac |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 380 | 6219 |
| 1 | 1088 | 5701 |
| 2 | 4436 | 5673 |
| 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 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3))))) |
2 |
(+.f64 (*.f64 1/2 x) 2) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 2)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3))))) |
(+.f64 (*.f64 (/.f64 x (neg.f64 x)) 1) (*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x 1))))) |
(+.f64 (*.f64 (/.f64 x (neg.f64 x)) 1) (*.f64 (/.f64 x (neg.f64 x)) (*.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(+.f64 (*.f64 (/.f64 x (neg.f64 x)) 1) (*.f64 (/.f64 x (neg.f64 x)) (*.f64 (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (pow.f64 (+.f64 x 1) 1/4))))) |
(+.f64 (*.f64 (/.f64 x (neg.f64 x)) 1) (*.f64 (/.f64 x (neg.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 (+.f64 x 1)))))) |
(+.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))))) |
(+.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 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 (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 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))) |
(*.f64 (pow.f64 (cbrt.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 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (neg.f64 x))) |
(*.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) x) |
(*.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (sqrt.f64 x) 1)) |
(*.f64 (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) |
(*.f64 (/.f64 x 1) (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 1 (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 (/.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 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))) |
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 -1 x) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.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 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))) |
(*.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) (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 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (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 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 (/.f64 x 1) 1) (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 x)) |
(*.f64 (/.f64 x x) (-.f64 (sqrt.f64 (+.f64 x 1)) 1)) |
(*.f64 (/.f64 x (neg.f64 (neg.f64 x))) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 x (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (neg.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (neg.f64 x))) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 (/.f64 x 1) x) (-.f64 (sqrt.f64 (+.f64 x 1)) 1)) |
(*.f64 (/.f64 (/.f64 x 1) (neg.f64 (neg.f64 x))) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (/.f64 x 1) (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (neg.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (sqrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1) |
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) |
(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)))) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1) |
(neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 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)) |
(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))))) |
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 0) |
(-.f64 (exp.f64 (log.f64 (+.f64 2 (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 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 1) |
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1) |
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.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 2 x) (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x)) |
(*.f64 (/.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) |
(*.f64 (/.f64 (neg.f64 x) (neg.f64 x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 (neg.f64 x) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 1 (*.f64 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))))) (+.f64 (neg.f64 x) (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (pow.f64 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))) 3))) (-.f64 (+.f64 1 (*.f64 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))))) (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) 1)) |
(/.f64 x (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) 1) 1)) |
(/.f64 x (*.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) 1))) |
(/.f64 1 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) 1) x)) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1) |
(/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(/.f64 (sqrt.f64 x) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))) |
(/.f64 (sqrt.f64 x) (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) 1) (sqrt.f64 x))) |
(/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (cbrt.f64 x) (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) 1) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) 1) (cbrt.f64 x))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 x)))) |
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (neg.f64 x) (/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (/.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) |
(/.f64 (sqrt.f64 (neg.f64 x)) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (neg.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (/.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (neg.f64 x)))) |
(/.f64 -1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) x)) |
(/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x))) |
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 x))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (neg.f64 (neg.f64 x)) (*.f64 1 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (*.f64 1 (neg.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 2 x))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 x 1) 3/2) 3)) (*.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2))))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (*.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (+.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 2))))) |
(/.f64 (*.f64 1 (neg.f64 (neg.f64 x))) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (*.f64 1 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (neg.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (sqrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (*.f64 (neg.f64 (neg.f64 x)) 1) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1) (neg.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (sqrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 2 x)) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (+.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 2)))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 x 1) 3/2) 3)) (/.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2)))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) |
(/.f64 (/.f64 (neg.f64 x) 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) 1) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (*.f64 (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1) |
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2) |
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) |
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) 1/3) |
(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 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) |
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1) |
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1) |
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.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 x (*.f64 x -1/8))) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -5/128 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) (*.f64 -5/128 (pow.f64 x 4))))) |
2 |
(+.f64 (*.f64 1/2 x) 2) |
(fma.f64 1/2 x 2) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 2)) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 2) (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) 2))) |
(+.f64 (*.f64 (/.f64 x (neg.f64 x)) 1) (*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(+.f64 (*.f64 (/.f64 x (neg.f64 x)) 1) (*.f64 (/.f64 x (neg.f64 x)) (*.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(+.f64 (*.f64 (/.f64 x (neg.f64 x)) 1) (*.f64 (/.f64 x (neg.f64 x)) (*.f64 (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (pow.f64 (+.f64 x 1) 1/4))))) |
(*.f64 (/.f64 x (neg.f64 x)) (+.f64 1 (neg.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))))) |
(*.f64 -1 (-.f64 1 (pow.f64 (+.f64 x 1) 1/2))) |
(+.f64 -1 (*.f64 1 (pow.f64 (+.f64 x 1) 1/2))) |
(+.f64 (*.f64 (/.f64 x (neg.f64 x)) 1) (*.f64 (/.f64 x (neg.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 (+.f64 x 1)))))) |
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(fma.f64 (*.f64 -1 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (neg.f64 (cbrt.f64 (+.f64 x 1))) -1) |
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(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (sqrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (sqrt.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)) (sqrt.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (sqrt.f64 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (/.f64 (cbrt.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (cbrt.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (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)))) (cbrt.f64 (neg.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 2 x)) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 x 2))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (+.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 2)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (+.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (*.f64 (+.f64 x 2) (+.f64 x 1))))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 x 1) 3/2) 3)) (/.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2)))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 x 1) 3/2) 3)) (*.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))) (-.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3)) (pow.f64 (+.f64 x 1) 3/2)))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 x 1) 3/2) 3)) (*.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2))))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (*.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(/.f64 (/.f64 (neg.f64 x) 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(/.f64 (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(/.f64 (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) 1) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (*.f64 (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1))))) |
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2) |
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) 1/3) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) |
(fabs.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(expm1.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) |
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1) |
(+.f64 1 (pow.f64 (+.f64 x 1) 1/2)) |
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 1) |
Compiled 4351 to 3314 computations (23.8% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 229 | 7 | 236 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 229 | 8 | 237 |
| Status | Accuracy | Program |
|---|---|---|
| 66.3% | (fma.f64 1/2 x (*.f64 x (*.f64 x -1/8))) | |
| ▶ | 99.5% | (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1) |
| ▶ | 68.3% | (/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
| ✓ | 99.7% | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| ▶ | 67.3% | (/.f64 x 2) |
| ▶ | 39.5% | (+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
| 66.9% | (*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 x)) | |
| ▶ | 66.3% | (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
Compiled 129 to 97 computations (24.8% saved)
Found 3 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| 100.0% | (+.f64 1 (sqrt.f64 (+.f64 x 1))) | |
| ✓ | 99.9% | (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
| ✓ | 99.6% | (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1) |
Compiled 35 to 27 computations (22.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1) |
| 0.0ms | x | @ | inf | (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
| 0.0ms | x | @ | 0 | (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1) |
| 1× | batch-egg-rewrite |
| 1496× | associate-*r/ |
| 1160× | associate-*l/ |
| 1134× | associate-/r* |
| 970× | *-commutative |
| 788× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 52 |
| 1 | 239 | 46 |
| 2 | 3154 | 46 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))) -2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 1 x))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change 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| 1× | egg-herbie |
| 1038× | distribute-lft-in |
| 1022× | distribute-rgt-in |
| 962× | unswap-sqr |
| 602× | associate-/l* |
| 510× | associate-/l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 472 | 8246 |
| 1 | 1137 | 7976 |
| 2 | 4141 | 7946 |
| 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 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3))))) |
(/.f64 2 x) |
(+.f64 1/2 (*.f64 2 (/.f64 1 x))) |
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) |
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (+.f64 (*.f64 1/16 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) 1) |
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1) |
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))) -2))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))) -2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 x (neg.f64 x))) |
(*.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 1 x))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))) |
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x) |
(*.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))) |
(*.f64 (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))) |
(*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 x)) |
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x)))) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 1 x)))) |
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 (sqrt.f64 x) 1)) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
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(/.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))) -2)) (sqrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))))) (sqrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))) -2)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))) 2))) (cbrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))) -2)) (cbrt.f64 (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))))) (cbrt.f64 (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))) -2)) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))))) (cbrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (cbrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))))) |
(/.f64 (/.f64 (/.f64 x 1) 1) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) |
(/.f64 (/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) 1) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) |
(/.f64 (/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))) |
(/.f64 (/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 (/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (sqrt.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))) (sqrt.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))) |
(/.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) 1) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(/.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))) (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))) |
(/.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))) (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(sqrt.f64 (pow.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))) -2)) |
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))) |
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(exp.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x))))) |
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))))) 1) |
(*.f64 1 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 x)) |
(*.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))) 1) |
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) x)) |
(*.f64 (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)) |
(*.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))) (pow.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))) 2)) |
(*.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))) 2) (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) |
(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 -1 x)) |
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) |
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) x) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) 1)) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) 1)) |
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x))) |
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 -1 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) |
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) 1) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) x)) |
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (cbrt.f64 x))) |
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (cbrt.f64 x)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(pow.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))) 1) |
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) -1) |
(pow.f64 (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))) 2) |
(pow.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))) 3) |
(pow.f64 (pow.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))) 3) 1/3) |
(neg.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(sqrt.f64 (pow.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) |
(log.f64 (exp.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))))) |
(cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x))) |
(log1p.f64 (expm1.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
| 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 x (*.f64 x -1/8))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) (*.f64 1/16 (pow.f64 x 3))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -5/128 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) (*.f64 -5/128 (pow.f64 x 4))))) |
(+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) (fma.f64 1/16 (pow.f64 x 3) (*.f64 -5/128 (pow.f64 x 4)))) |
(/.f64 2 x) |
(+.f64 1/2 (*.f64 2 (/.f64 1 x))) |
(+.f64 1/2 (/.f64 2 x)) |
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) |
(fma.f64 -1/8 x (+.f64 1/2 (/.f64 2 x))) |
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)) |
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (+.f64 (*.f64 1/16 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x))))) |
(fma.f64 -1/8 x (+.f64 1/2 (fma.f64 1/16 (*.f64 x x) (/.f64 2 x)))) |
(+.f64 (fma.f64 (*.f64 x x) 1/16 (/.f64 2 x)) (fma.f64 x -1/8 1/2)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) 1) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))) -2))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) -2))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))) -2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) -2))) |
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 x (neg.f64 x))) |
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (neg.f64 x))) |
(*.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 1 x))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))) |
(*.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(*.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 x) 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 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 x)) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x)))) |
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (neg.f64 x))) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 1 x)))) |
(*.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(*.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 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 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 (sqrt.f64 x) 1)) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 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 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 1 x) 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 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))) |
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (/.f64 1 x) -1)) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (pow.f64 (/.f64 1 x) -1) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1)) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))) -1) (pow.f64 (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))) -1)) |
(pow.f64 (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) -2) |
(neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))) -1)) |
(pow.f64 (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) -2) |
(neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
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(pow.f64 (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) -2) |
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(/.f64 1 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(pow.f64 (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) -2) |
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(pow.f64 (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) -2) |
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(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1) |
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(*.f64 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x))) (sqrt.f64 (cbrt.f64 x))) |
(*.f64 (sqrt.f64 (cbrt.f64 x)) (*.f64 (/.f64 (fabs.f64 (cbrt.f64 x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 x))) |
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(*.f64 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (fabs.f64 (cbrt.f64 x)) (/.f64 (fabs.f64 (cbrt.f64 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 x)))) |
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(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))) |
(*.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x)) |
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(/.f64 (/.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) |
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(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 1 x) 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)))) |
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(/.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (/.f64 -1 x)) |
(/.f64 1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 -1 x))) |
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(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)) |
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(/.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))) |
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(/.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (/.f64 1 x))) |
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(pow.f64 (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) -2) |
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(pow.f64 (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) -2) |
(neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
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(*.f64 (/.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (sqrt.f64 x)) |
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(/.f64 x (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
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(/.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 1) |
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(/.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) -2)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))) -2)) (cbrt.f64 (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))))) (cbrt.f64 (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))))) |
(/.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) -2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))) -2)) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))))) (cbrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (cbrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))))) |
(/.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) -2)) (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (/.f64 (/.f64 x 1) 1) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) 1) (hypot.f64 1 (pow.f64 (+.f64 1 x) 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 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))) |
(/.f64 (/.f64 x (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(/.f64 x (*.f64 (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(/.f64 (/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)))) |
(/.f64 (/.f64 x (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (fabs.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 x (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (fabs.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) |
(/.f64 (/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (sqrt.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))) (sqrt.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 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 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) 1) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)))) |
(/.f64 x (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))))) |
(/.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))) (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))) |
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (*.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))) |
(/.f64 x (*.f64 (*.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))) |
(/.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))) (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(sqrt.f64 (pow.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))) -2)) |
(sqrt.f64 (pow.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) -2)) |
(fabs.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3)) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(exp.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))))) 1) |
(/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 1 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 x)) |
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(*.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))) 1) |
(/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) x)) |
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) x)) |
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) x) |
(*.f64 (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)) |
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(*.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))) (pow.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))) 2)) |
(/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))) 2) (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) |
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 -1 x)) |
(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 -1 x)) |
(/.f64 (neg.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) x) |
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) |
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) x)) |
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) x) |
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) x) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) 1)) |
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) x)) |
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) x) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) |
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) 1)) |
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))) |
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x))) |
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(*.f64 (/.f64 -1 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) |
(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 -1 x)) |
(/.f64 (neg.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) x) |
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) 1) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) x)) |
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) x)) |
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) x) |
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (cbrt.f64 x))) |
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) x)) |
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) x) |
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (cbrt.f64 x)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) x)) |
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)) |
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x))) |
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (sqrt.f64 x))) |
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))) |
(pow.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))) 1) |
(/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) -1) |
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(pow.f64 (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))) 2) |
(/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(pow.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))) 3) |
(/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(pow.f64 (pow.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))) 3) 1/3) |
(/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(neg.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(sqrt.f64 (pow.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) |
(sqrt.f64 (pow.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) |
(fabs.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(log.f64 (exp.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))))) |
(/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))) 3)) |
(/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x))) |
(exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 x))) |
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) x) |
(log1p.f64 (expm1.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
Compiled 6 to 4 computations (33.3% saved)
Found 1 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
Compiled 19 to 14 computations (26.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
| 0.0ms | x | @ | -inf | (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
| 0.0ms | x | @ | 0 | (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
| 1× | batch-egg-rewrite |
| 1842× | add-sqr-sqrt |
| 1810× | *-un-lft-identity |
| 1708× | add-cube-cbrt |
| 1688× | add-cbrt-cube |
| 172× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 178 | 15 |
| 2 | 2262 | 15 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 1/2) 1) (*.f64 (*.f64 -1/8 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/8 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/4 (*.f64 1/64 (*.f64 x x)))) (+.f64 1/2 (*.f64 1/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1/8 (*.f64 -1/512 (pow.f64 x 3)))) (+.f64 1/4 (-.f64 (*.f64 1/64 (*.f64 x x)) (*.f64 -1/16 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 1/64 (*.f64 x x))) x) (+.f64 1/2 (*.f64 1/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/8 (*.f64 -1/512 (pow.f64 x 3))) x) (+.f64 1/4 (-.f64 (*.f64 1/64 (*.f64 x x)) (*.f64 -1/16 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 -1/8 (*.f64 x x)))) (-.f64 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 -1/8 (*.f64 x x)) 3)) (+.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (-.f64 (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 -1/8 (*.f64 x x))) (*.f64 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/8 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/8 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/8 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -1/8 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/8 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/8 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x -1/8 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/8 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (*.f64 -1/8 (*.f64 x x))))))) |
| 1× | egg-herbie |
| 1460× | associate-/r* |
| 496× | associate-+l+ |
| 492× | associate-+r+ |
| 486× | fma-def |
| 468× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 888 |
| 1 | 248 | 668 |
| 2 | 935 | 630 |
| 3 | 3172 | 630 |
| 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 1/2 x)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)) |
(*.f64 -1/8 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.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 1/2 x)) |
(*.f64 -1/8 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.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 1/2 x)) |
(+.f64 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x))) |
(+.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 x 1/2)) |
(+.f64 (*.f64 (*.f64 x 1/2) 1) (*.f64 (*.f64 -1/8 (*.f64 x x)) 1)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/8 1/2)))) 1) |
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 1/64 (*.f64 x x)))) (+.f64 1/2 (*.f64 1/8 x))) |
(/.f64 (*.f64 x (+.f64 1/8 (*.f64 -1/512 (pow.f64 x 3)))) (+.f64 1/4 (-.f64 (*.f64 1/64 (*.f64 x x)) (*.f64 -1/16 x)))) |
(/.f64 (*.f64 (-.f64 1/4 (*.f64 1/64 (*.f64 x x))) x) (+.f64 1/2 (*.f64 1/8 x))) |
(/.f64 (*.f64 (+.f64 1/8 (*.f64 -1/512 (pow.f64 x 3))) x) (+.f64 1/4 (-.f64 (*.f64 1/64 (*.f64 x x)) (*.f64 -1/16 x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 -1/8 (*.f64 x x)))) (-.f64 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 -1/8 (*.f64 x x)) 3)) (+.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (-.f64 (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 -1/8 (*.f64 x x))) (*.f64 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x)))))) |
(pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 1) |
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/8 1/2))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/8 1/2))) 3) |
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/8 1/2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -1/8 1/2))))) |
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/8 1/2)))) |
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/8 1/2)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x -1/8 1/2))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/8 1/2)))) |
(fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x))) |
(fma.f64 1/2 x (*.f64 -1/8 (*.f64 x x))) |
| 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 (fma.f64 x -1/8 1/2)) |
(+.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 (fma.f64 x -1/8 1/2)) |
(+.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 (fma.f64 x -1/8 1/2)) |
(*.f64 -1/8 (pow.f64 x 2)) |
(*.f64 -1/8 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/8)) |
(+.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 (fma.f64 x -1/8 1/2)) |
(+.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 (fma.f64 x -1/8 1/2)) |
(+.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 (fma.f64 x -1/8 1/2)) |
(*.f64 -1/8 (pow.f64 x 2)) |
(*.f64 -1/8 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/8)) |
(+.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 (fma.f64 x -1/8 1/2)) |
(+.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 (fma.f64 x -1/8 1/2)) |
(+.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 (fma.f64 x -1/8 1/2)) |
(+.f64 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x))) |
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x)) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(+.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 x 1/2)) |
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x)) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(+.f64 (*.f64 (*.f64 x 1/2) 1) (*.f64 (*.f64 -1/8 (*.f64 x x)) 1)) |
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x)) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/8 1/2)))) 1) |
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x)) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 1/64 (*.f64 x x)))) (+.f64 1/2 (*.f64 1/8 x))) |
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x)) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(/.f64 (*.f64 x (+.f64 1/8 (*.f64 -1/512 (pow.f64 x 3)))) (+.f64 1/4 (-.f64 (*.f64 1/64 (*.f64 x x)) (*.f64 -1/16 x)))) |
(/.f64 (+.f64 1/8 (*.f64 -1/512 (pow.f64 x 3))) (/.f64 (+.f64 1/4 (+.f64 (*.f64 (*.f64 1/64 x) x) (*.f64 1/16 x))) x)) |
(*.f64 (/.f64 x (+.f64 1/4 (*.f64 x (+.f64 (*.f64 x 1/64) 1/16)))) (fma.f64 -1/512 (pow.f64 x 3) 1/8)) |
(*.f64 x (/.f64 (fma.f64 -1/512 (pow.f64 x 3) 1/8) (fma.f64 x (fma.f64 x 1/64 1/16) 1/4))) |
(*.f64 (fma.f64 -1/512 (pow.f64 x 3) 1/8) (/.f64 x (fma.f64 x (fma.f64 x 1/64 1/16) 1/4))) |
(/.f64 (*.f64 (-.f64 1/4 (*.f64 1/64 (*.f64 x x))) x) (+.f64 1/2 (*.f64 1/8 x))) |
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x)) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(/.f64 (*.f64 (+.f64 1/8 (*.f64 -1/512 (pow.f64 x 3))) x) (+.f64 1/4 (-.f64 (*.f64 1/64 (*.f64 x x)) (*.f64 -1/16 x)))) |
(/.f64 (+.f64 1/8 (*.f64 -1/512 (pow.f64 x 3))) (/.f64 (+.f64 1/4 (+.f64 (*.f64 (*.f64 1/64 x) x) (*.f64 1/16 x))) x)) |
(*.f64 (/.f64 x (+.f64 1/4 (*.f64 x (+.f64 (*.f64 x 1/64) 1/16)))) (fma.f64 -1/512 (pow.f64 x 3) 1/8)) |
(*.f64 x (/.f64 (fma.f64 -1/512 (pow.f64 x 3) 1/8) (fma.f64 x (fma.f64 x 1/64 1/16) 1/4))) |
(*.f64 (fma.f64 -1/512 (pow.f64 x 3) 1/8) (/.f64 x (fma.f64 x (fma.f64 x 1/64 1/16) 1/4))) |
(/.f64 (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 -1/8 (*.f64 x x)))) (-.f64 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x)))) |
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x)) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 -1/8 (*.f64 x x)) 3)) (+.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (-.f64 (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 -1/8 (*.f64 x x))) (*.f64 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 3) (*.f64 -1/512 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (*.f64 -1/8 (*.f64 x x)) (-.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 1/2 x))))) |
(/.f64 (fma.f64 -1/512 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 1/2 x) 3)) (fma.f64 x (*.f64 1/4 x) (*.f64 (*.f64 x x) (*.f64 x (+.f64 (*.f64 x 1/64) 1/16))))) |
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 -1/512 (pow.f64 x 6))) (*.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 1/64 1/16) 1/4))) |
(/.f64 (*.f64 (pow.f64 x 3) (fma.f64 -1/512 (pow.f64 x 3) 1/8)) (*.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 1/64 1/16) 1/4))) |
(pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 1) |
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x)) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/8 1/2))) 2) |
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x)) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/8 1/2))) 3) |
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x)) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 3) 1/3) |
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x)) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)) |
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x)) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/8 1/2))) |
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x)) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -1/8 1/2))))) |
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x)) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 3)) |
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x)) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/8 1/2)))) |
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x)) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/8 1/2)))) |
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x)) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x -1/8 1/2))) 1)) |
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x)) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/8 1/2)))) |
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x)) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x))) |
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x)) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(fma.f64 1/2 x (*.f64 -1/8 (*.f64 x x))) |
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x)) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
Found 1 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
Compiled 19 to 14 computations (26.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
| 0.0ms | x | @ | 0 | (/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
| 0.0ms | x | @ | -inf | (/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
| 1× | batch-egg-rewrite |
| 1904× | add-sqr-sqrt |
| 1876× | *-un-lft-identity |
| 1766× | add-cube-cbrt |
| 1750× | add-cbrt-cube |
| 174× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 15 |
| 1 | 180 | 15 |
| 2 | 2321 | 15 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (fma.f64 x 1/2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (fma.f64 x 1/2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 1/2 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 x (sqrt.f64 (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (*.f64 (*.f64 x x) 1/4) -4)) (fma.f64 x 1/2 -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 8 (*.f64 (pow.f64 x 3) 1/8))) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x 1/2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x 1/2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 1/2 2) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2)))))))) |
| 1× | egg-herbie |
| 1684× | distribute-lft-in |
| 1334× | associate-+r+ |
| 1012× | associate-+l+ |
| 642× | associate-*r/ |
| 484× | associate-/l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 131 | 1034 |
| 1 | 330 | 1006 |
| 2 | 1175 | 1002 |
| 3 | 4684 | 1002 |
| 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 1/32 (pow.f64 x 3)) (*.f64 1/2 x))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 -1/128 (pow.f64 x 4))))) |
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 x (fma.f64 x 1/2 2)))) 1) |
(*.f64 x (/.f64 1 (fma.f64 x 1/2 2))) |
(*.f64 (/.f64 x (fma.f64 x 1/2 2)) 1) |
(*.f64 1 (/.f64 x (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 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2)) |
(*.f64 (pow.f64 (cbrt.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 (/.f64 1 (fma.f64 x 1/2 2)) x) |
(*.f64 (neg.f64 x) (/.f64 1 (neg.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 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 1/2 2)))) |
(*.f64 (/.f64 x (+.f64 (*.f64 (*.f64 x x) 1/4) -4)) (fma.f64 x 1/2 -2)) |
(*.f64 (/.f64 x (+.f64 8 (*.f64 (pow.f64 x 3) 1/8))) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 4 x))) |
(*.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 (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) (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (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)))) |
(pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 1) |
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2) |
(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 (/.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)) |
(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)))) |
| 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 1/32 (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 1/2 x (*.f64 (*.f64 x x) (+.f64 -1/8 (*.f64 x 1/32)))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 -1/128 (pow.f64 x 4))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 -1/128 (pow.f64 x 4))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 -1/128 (pow.f64 x 4) (*.f64 1/2 x)))) |
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 -1/128 (pow.f64 x 4))))) |
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 -1/128 (pow.f64 x 4) (*.f64 1/2 x)))) |
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 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))) |
(+.f64 (/.f64 32 (*.f64 x x)) (+.f64 2 (/.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 2 (-.f64 (/.f64 32 (*.f64 x x)) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3))))) |
(-.f64 (+.f64 (/.f64 32 (*.f64 x x)) (+.f64 2 (/.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 -8 x) (-.f64 (/.f64 32 (*.f64 x 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 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))) |
(+.f64 (/.f64 32 (*.f64 x x)) (+.f64 2 (/.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 2 (-.f64 (/.f64 32 (*.f64 x x)) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3))))) |
(-.f64 (+.f64 (/.f64 32 (*.f64 x x)) (+.f64 2 (/.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 -8 x) (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 128 (pow.f64 x 3))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2)))) 1) |
(/.f64 x (fma.f64 x 1/2 2)) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 x (/.f64 1 (fma.f64 x 1/2 2))) |
(/.f64 x (fma.f64 x 1/2 2)) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (/.f64 x (fma.f64 x 1/2 2)) 1) |
(/.f64 x (fma.f64 x 1/2 2)) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 1 (/.f64 x (fma.f64 x 1/2 2))) |
(/.f64 x (fma.f64 x 1/2 2)) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2)))) |
(/.f64 x (fma.f64 x 1/2 2)) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2)))) |
(/.f64 x (fma.f64 x 1/2 2)) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2)) |
(/.f64 x (fma.f64 x 1/2 2)) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2)))) |
(/.f64 x (fma.f64 x 1/2 2)) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2)))) |
(/.f64 x (fma.f64 x 1/2 2)) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) x) |
(/.f64 x (fma.f64 x 1/2 2)) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x 1/2 2)))) |
(/.f64 x (fma.f64 x 1/2 2)) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 x (sqrt.f64 (fma.f64 x 1/2 2)))) |
(/.f64 (/.f64 x (sqrt.f64 (fma.f64 1/2 x 2))) (sqrt.f64 (fma.f64 1/2 x 2))) |
(/.f64 x (*.f64 (sqrt.f64 (fma.f64 1/2 x 2)) (sqrt.f64 (fma.f64 1/2 x 2)))) |
(*.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 x (cbrt.f64 (fma.f64 1/2 x 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2)) |
(/.f64 x (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) (cbrt.f64 (fma.f64 1/2 x 2)))) |
(*.f64 (/.f64 x (+.f64 (*.f64 (*.f64 x x) 1/4) -4)) (fma.f64 x 1/2 -2)) |
(/.f64 (*.f64 x (fma.f64 x 1/2 -2)) (fma.f64 (*.f64 x x) 1/4 -4)) |
(/.f64 (*.f64 x (fma.f64 1/2 x -2)) (fma.f64 x (*.f64 x 1/4) -4)) |
(/.f64 (fma.f64 1/2 x -2) (/.f64 (fma.f64 x (*.f64 x 1/4) -4) x)) |
(*.f64 (/.f64 x (+.f64 8 (*.f64 (pow.f64 x 3) 1/8))) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 4 x))) |
(*.f64 (/.f64 x (+.f64 8 (*.f64 (pow.f64 x 3) 1/8))) (fma.f64 (*.f64 x x) 1/4 (-.f64 4 x))) |
(*.f64 (/.f64 x (fma.f64 (pow.f64 x 3) 1/8 8)) (fma.f64 x (*.f64 x 1/4) (-.f64 4 x))) |
(/.f64 (-.f64 (fma.f64 x (*.f64 x 1/4) 4) x) (/.f64 (fma.f64 (pow.f64 x 3) 1/8 8) x)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x 1/2 2))) |
(/.f64 x (fma.f64 x 1/2 2)) |
(/.f64 x (fma.f64 1/2 x 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 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 1/2 2)))) |
(/.f64 (/.f64 x (cbrt.f64 (fma.f64 1/2 x 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2)) |
(/.f64 x (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) (cbrt.f64 (fma.f64 1/2 x 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x 1/2 2))) |
(/.f64 x (fma.f64 x 1/2 2)) |
(/.f64 x (fma.f64 1/2 x 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 1 (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 x (sqrt.f64 (fma.f64 x 1/2 2)))) |
(/.f64 (/.f64 x (sqrt.f64 (fma.f64 1/2 x 2))) (sqrt.f64 (fma.f64 1/2 x 2))) |
(/.f64 x (*.f64 (sqrt.f64 (fma.f64 1/2 x 2)) (sqrt.f64 (fma.f64 1/2 x 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 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2))) |
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2))) |
(pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 1) |
(/.f64 x (fma.f64 x 1/2 2)) |
(/.f64 x (fma.f64 1/2 x 2)) |
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2) |
(/.f64 x (fma.f64 x 1/2 2)) |
(/.f64 x (fma.f64 1/2 x 2)) |
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 3) |
(/.f64 x (fma.f64 x 1/2 2)) |
(/.f64 x (fma.f64 1/2 x 2)) |
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3) 1/3) |
(/.f64 x (fma.f64 x 1/2 2)) |
(/.f64 x (fma.f64 1/2 x 2)) |
(pow.f64 (/.f64 (fma.f64 x 1/2 2) x) -1) |
(/.f64 x (fma.f64 x 1/2 2)) |
(/.f64 x (fma.f64 1/2 x 2)) |
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x 1/2 2)))) |
(/.f64 x (fma.f64 x 1/2 2)) |
(/.f64 x (fma.f64 1/2 x 2)) |
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2)) |
(/.f64 x (fma.f64 x 1/2 2)) |
(/.f64 x (fma.f64 1/2 x 2)) |
(log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2)))) |
(/.f64 x (fma.f64 x 1/2 2)) |
(/.f64 x (fma.f64 1/2 x 2)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2))))) |
(/.f64 x (fma.f64 x 1/2 2)) |
(/.f64 x (fma.f64 1/2 x 2)) |
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3)) |
(/.f64 x (fma.f64 x 1/2 2)) |
(/.f64 x (fma.f64 1/2 x 2)) |
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2)))) |
(/.f64 x (fma.f64 x 1/2 2)) |
(/.f64 x (fma.f64 1/2 x 2)) |
(exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2)))) |
(/.f64 x (fma.f64 x 1/2 2)) |
(/.f64 x (fma.f64 1/2 x 2)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))) 1)) |
(/.f64 x (fma.f64 x 1/2 2)) |
(/.f64 x (fma.f64 1/2 x 2)) |
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2)))) |
(/.f64 x (fma.f64 x 1/2 2)) |
(/.f64 x (fma.f64 1/2 x 2)) |
Found 1 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 92.4% | (+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
Compiled 17 to 13 computations (23.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
| 0.0ms | x | @ | -inf | (+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
| 0.0ms | x | @ | 0 | (+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
| 1× | batch-egg-rewrite |
| 1816× | add-sqr-sqrt |
| 1798× | *-un-lft-identity |
| 1674× | add-cube-cbrt |
| 1662× | add-cbrt-cube |
| 180× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 17 |
| 1 | 188 | 17 |
| 2 | 2320 | 17 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 x 1)) 1)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 (+.f64 x 1) (-.f64 1 (*.f64 (sqrt.f64 (+.f64 x 1)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) 1) (-.f64 (pow.f64 (+.f64 x 1) 1/4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 x 1) (-.f64 1 (*.f64 (sqrt.f64 (+.f64 x 1)) -1))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 1 (*.f64 (sqrt.f64 (+.f64 x 1)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (-.f64 (+.f64 x 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (+.f64 x 1)) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (+.f64 (+.f64 x 1) (-.f64 1 (*.f64 (sqrt.f64 (+.f64 x 1)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1))))) |
| 1× | egg-herbie |
| 942× | associate-*r* |
| 856× | *-commutative |
| 780× | associate-*l* |
| 686× | associate-+r+ |
| 628× | associate-/l* |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 1169 |
| 1 | 242 | 1079 |
| 2 | 842 | 1075 |
| 3 | 3789 | 865 |
| 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 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3))))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) 1) |
(-.f64 (/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 x 1)) 1)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) 1))) |
(*.f64 x (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) 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 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 (+.f64 x 1) (-.f64 1 (*.f64 (sqrt.f64 (+.f64 x 1)) -1))))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) 1) (-.f64 (pow.f64 (+.f64 x 1) 1/4) 1)) |
(/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) 1)) |
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)) |
(/.f64 1 (/.f64 (+.f64 (+.f64 x 1) (-.f64 1 (*.f64 (sqrt.f64 (+.f64 x 1)) -1))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 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 x) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1))) |
(/.f64 (-.f64 1 (+.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 x 1) (-.f64 1 (*.f64 (sqrt.f64 (+.f64 x 1)) -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) 3) 1/3) |
(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)) |
(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 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1) |
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.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 x (*.f64 x -1/8))) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(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 (*.f64 x 1/16) -1/8))) |
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -5/128 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) (*.f64 -5/128 (pow.f64 x 4))))) |
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) (*.f64 -5/128 (pow.f64 x 4))))) |
(fma.f64 1/2 x (*.f64 (*.f64 x x) (+.f64 -1/8 (*.f64 x (+.f64 (*.f64 x -5/128) 1/16))))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) 1) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(-.f64 (/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 x 1)) 1)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) 1))) |
(-.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 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 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 x (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) 1))) |
(-.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 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 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2)) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 (+.f64 x 1) (-.f64 1 (*.f64 (sqrt.f64 (+.f64 x 1)) -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 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (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 (sqrt.f64 (+.f64 x 1)) -1) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) 1)) |
(-.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 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 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)) |
(-.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 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 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 1 (/.f64 (+.f64 (+.f64 x 1) (-.f64 1 (*.f64 (sqrt.f64 (+.f64 x 1)) -1))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) |
(*.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 (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 (+.f64 x 1) (-.f64 1 (*.f64 (sqrt.f64 (+.f64 x 1)) -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 (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 1 (-.f64 (+.f64 x 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -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 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (neg.f64 x) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1))) |
(-.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 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 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (-.f64 1 (+.f64 x 1)) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) |
(-.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 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 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (+.f64 (+.f64 x 1) (-.f64 1 (*.f64 (sqrt.f64 (+.f64 x 1)) -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 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 3) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3) 1/3) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(+.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) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3)) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1)) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) -1) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(+.f64 -1 (sqrt.f64 (+.f64 x 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) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1) |
Compiled 11329 to 8918 computations (21.3% saved)
10 alts after pruning (5 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 611 | 5 | 616 |
| Fresh | 2 | 0 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 4 | 5 |
| Total | 614 | 10 | 624 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 68.3% | (/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
| ✓ | 99.7% | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| ✓ | 67.3% | (/.f64 x 2) |
| ▶ | 99.5% | (/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)) |
| ▶ | 66.3% | (+.f64 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x))) |
| ✓ | 39.5% | (+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
| ▶ | 66.9% | (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
| ✓ | 66.3% | (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
| ▶ | 61.4% | (exp.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
| 4.7% | 2 |
Compiled 82 to 64 computations (22% saved)
Found 3 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (+.f64 1 (sqrt.f64 (+.f64 1 x))) |
| ✓ | 99.7% | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) |
| ✓ | 94.2% | (exp.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
Compiled 43 to 33 computations (23.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (exp.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
| 0.0ms | x | @ | -inf | (exp.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
| 0.0ms | x | @ | -inf | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) |
| 0.0ms | x | @ | inf | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) |
| 0.0ms | x | @ | -inf | (+.f64 1 (sqrt.f64 (+.f64 1 x))) |
| 1× | batch-egg-rewrite |
| 1294× | associate-*r/ |
| 954× | associate-*l/ |
| 922× | *-commutative |
| 890× | associate-/r* |
| 696× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 63 |
| 1 | 223 | 63 |
| 2 | 2858 | 63 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) |
(+.f64 1 (sqrt.f64 (+.f64 1 x))) |
| Outputs |
|---|
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1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 1))))) |
| 1× | egg-herbie |
| 1044× | associate-/l* |
| 782× | times-frac |
| 694× | associate-+l+ |
| 648× | +-commutative |
| 596× | associate-/l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 589 | 13101 |
| 1 | 1570 | 12327 |
| 2 | 7037 | 12319 |
| 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 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3))))) |
(*.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 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3))))) |
2 |
(+.f64 (*.f64 1/2 x) 2) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 2)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3))))) |
(+.f64 (*.f64 (/.f64 x (neg.f64 x)) 1) (*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x 1))))) |
(+.f64 (*.f64 (/.f64 x (neg.f64 x)) 1) (*.f64 (/.f64 x (neg.f64 x)) (*.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(+.f64 (*.f64 (/.f64 x (neg.f64 x)) 1) (*.f64 (/.f64 x (neg.f64 x)) (*.f64 (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (pow.f64 (+.f64 x 1) 1/4))))) |
(+.f64 (*.f64 (/.f64 x (neg.f64 x)) 1) (*.f64 (/.f64 x (neg.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 (+.f64 x 1)))))) |
(+.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))) |
(+.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 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 (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 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))) |
(*.f64 (pow.f64 (cbrt.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 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (neg.f64 x))) |
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x) |
(*.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (sqrt.f64 x) 1)) |
(*.f64 (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) |
(*.f64 (/.f64 x 1) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
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(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (*.f64 1 (neg.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 2 x))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 x 1) 3/2) 3)) (*.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2))))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (*.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (+.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 2))))) |
(/.f64 (*.f64 1 (neg.f64 (neg.f64 x))) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (*.f64 1 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (neg.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (sqrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (*.f64 (neg.f64 (neg.f64 x)) 1) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1) (neg.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (sqrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 2 x)) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (+.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 2)))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 x 1) 3/2) 3)) (/.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2)))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) |
(/.f64 (/.f64 (neg.f64 x) 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) 1) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (*.f64 (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1) |
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2) |
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) |
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) 1/3) |
(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 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) |
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1) |
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1) |
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.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)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -5/128 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) (*.f64 -5/128 (pow.f64 x 4))))) |
(*.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 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -5/128 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) (*.f64 -5/128 (pow.f64 x 4))))) |
2 |
(+.f64 (*.f64 1/2 x) 2) |
(fma.f64 1/2 x 2) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 2)) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 2) (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) 2))) |
(+.f64 (*.f64 (/.f64 x (neg.f64 x)) 1) (*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(+.f64 (*.f64 (/.f64 x (neg.f64 x)) 1) (*.f64 (/.f64 x (neg.f64 x)) (*.f64 (sqrt.f64 (+.f64 x 1)) -1))) |
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(+.f64 (*.f64 (/.f64 x (neg.f64 x)) 1) (*.f64 (/.f64 x (neg.f64 x)) (*.f64 (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (pow.f64 (+.f64 x 1) 1/4))))) |
(*.f64 (/.f64 x (neg.f64 x)) (+.f64 1 (*.f64 (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (pow.f64 (+.f64 x 1) 1/4))))) |
(fma.f64 -1 (neg.f64 (pow.f64 (+.f64 x 1) 1/2)) -1) |
(+.f64 (*.f64 (/.f64 x (neg.f64 x)) 1) (*.f64 (/.f64 x (neg.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 x (neg.f64 x)) (+.f64 1 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 (+.f64 x 1)))))) |
(*.f64 -1 (-.f64 1 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1))))) |
(+.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 x (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))) |
(+.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1)) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 x (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 x 2) (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 (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 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)) |
(/.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) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (neg.f64 x))) |
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 x (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 x)) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (sqrt.f64 x) 1)) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 x 1) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(/.f64 x (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2)) |
(*.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 (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2)) |
(*.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 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 x (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 -1 x) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 x (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x)) |
(/.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 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.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 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.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) (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 x (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2)) |
(*.f64 (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(/.f64 x (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.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) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))) |
(*.f64 (/.f64 (/.f64 x 1) 1) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 x)) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (neg.f64 x))) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
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(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)) (sqrt.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (/.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (neg.f64 x)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (/.f64 (cbrt.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (cbrt.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (neg.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)))) (cbrt.f64 (neg.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) |
(/.f64 (*.f64 (neg.f64 (neg.f64 x)) 1) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1) (neg.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (sqrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (/.f64 (sqrt.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) |
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)) (sqrt.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (/.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (neg.f64 x)))) |
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (/.f64 (cbrt.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (cbrt.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (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)))) (cbrt.f64 (neg.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 2 x)) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 x 2))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (+.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 2)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 (+.f64 1 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (*.f64 (+.f64 x 2) (+.f64 x 1))))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 x (+.f64 (pow.f64 (+.f64 x 1) 2) 2)))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 x 1) 3/2) 3)) (/.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2)))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 x 1) 3/2) 3)) (*.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))) (-.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3)) (pow.f64 (+.f64 x 1) 3/2)))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 x 1) 3/2) 3)) (*.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))) (+.f64 (pow.f64 (+.f64 x 1) 3) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (*.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(/.f64 (/.f64 (neg.f64 x) 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(/.f64 (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(/.f64 (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) 1) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (*.f64 (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) |
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2) |
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) 1/3) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) |
(fabs.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(expm1.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) |
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1) |
(+.f64 1 (pow.f64 (+.f64 x 1) 1/2)) |
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 1) |
Found 2 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) |
| ✓ | 100.0% | (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
Compiled 40 to 30 computations (25% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
| 0.0ms | x | @ | inf | (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) |
| 0.0ms | x | @ | 0 | (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
| 0.0ms | x | @ | -inf | (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
| 0.0ms | x | @ | -inf | (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) |
| 1× | batch-egg-rewrite |
| 1460× | associate-*r/ |
| 1188× | associate-*l/ |
| 1038× | distribute-lft-in |
| 256× | add-sqr-sqrt |
| 246× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 50 |
| 1 | 255 | 38 |
| 2 | 3370 | 38 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
(*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -1/8)) (+.f64 (*.f64 x (*.f64 x (*.f64 x 1/16))) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -1/8)) (*.f64 x (+.f64 1/2 (*.f64 x (*.f64 x 1/16)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 1/2) 1) (*.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) 1) (*.f64 (*.f64 x 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -1/8) x) (+.f64 (*.f64 (*.f64 x (*.f64 x 1/16)) x) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x -1/8))) (*.f64 x (*.f64 x (*.f64 x 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x 1/2) (*.f64 (*.f64 x -1/8) x)) (*.f64 (*.f64 x (*.f64 x 1/16)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) (*.f64 x (*.f64 x (*.f64 x 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 x 1/2) 1)) (*.f64 1 (*.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2)) (/.f64 (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)) (/.f64 (+.f64 1/4 (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2))) x))))) (#(struct:change #<rule 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cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/16 -1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/16 -1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x 1/16 -1/8))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/16 -1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -1/8 (*.f64 x (*.f64 x 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/8 x (*.f64 x (*.f64 x 1/16))))))) |
| 1× | egg-herbie |
| 1120× | associate-*r/ |
| 1082× | associate-/l/ |
| 974× | associate-/r/ |
| 816× | associate-/l* |
| 670× | associate-*l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 388 | 7858 |
| 1 | 1065 | 6922 |
| 2 | 4635 | 6714 |
| 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 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 1/16 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 1/16 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 -1/8 x) |
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2))) |
(*.f64 1/16 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2))) |
(*.f64 1/16 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2))) |
(+.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8)))) |
(+.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) (*.f64 x 1/2)) |
(+.f64 (*.f64 x (*.f64 x -1/8)) (+.f64 (*.f64 x (*.f64 x (*.f64 x 1/16))) (*.f64 x 1/2))) |
(+.f64 (*.f64 x (*.f64 x -1/8)) (*.f64 x (+.f64 1/2 (*.f64 x (*.f64 x 1/16))))) |
(+.f64 (*.f64 (*.f64 x 1/2) 1) (*.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) 1)) |
(+.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) 1) (*.f64 (*.f64 x 1/2) 1)) |
(+.f64 (*.f64 (*.f64 x -1/8) x) (+.f64 (*.f64 (*.f64 x (*.f64 x 1/16)) x) (*.f64 x 1/2))) |
(+.f64 (+.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x -1/8))) (*.f64 x (*.f64 x (*.f64 x 1/16)))) |
(+.f64 (+.f64 (*.f64 x 1/2) (*.f64 (*.f64 x -1/8) x)) (*.f64 (*.f64 x (*.f64 x 1/16)) x)) |
(+.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) (*.f64 x (*.f64 x (*.f64 x 1/16)))) |
(+.f64 (*.f64 1 (*.f64 (*.f64 x 1/2) 1)) (*.f64 1 (*.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) 1))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)))) 1) |
(/.f64 x (/.f64 1 (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))) |
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2)) (/.f64 (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))) x)) |
(/.f64 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)) (/.f64 (+.f64 1/4 (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2))) x)) |
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2))) (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8)))) |
(/.f64 (*.f64 x (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3))) (+.f64 1/4 (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2)))) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2)) x) (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8)))) |
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)) x) (+.f64 1/4 (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (*.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))))) (-.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) 3)) (+.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (-.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8)))) (*.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))))))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2) 1/4)) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2)) |
(/.f64 (*.f64 x (neg.f64 (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2)))) (neg.f64 (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))))) |
(/.f64 (*.f64 x (neg.f64 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)))) (neg.f64 (+.f64 1/4 (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2))))) |
(/.f64 (*.f64 1 (*.f64 x (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2)))) (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8)))) |
(/.f64 (*.f64 1 (*.f64 x (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)))) (+.f64 1/4 (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2)))) |
(/.f64 (*.f64 1 (*.f64 (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2)) x)) (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8)))) |
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(/.f64 (/.f64 (*.f64 x (-.f64 1/64 (*.f64 1/256 (*.f64 x x)))) 1) (+.f64 -1/8 (*.f64 -1/16 x))) |
(/.f64 (/.f64 (*.f64 x (-.f64 1/64 (*.f64 1/256 (*.f64 x x)))) (sqrt.f64 (+.f64 -1/8 (*.f64 -1/16 x)))) (sqrt.f64 (+.f64 -1/8 (*.f64 -1/16 x)))) |
(/.f64 (/.f64 (*.f64 x (-.f64 1/64 (*.f64 1/256 (*.f64 x x)))) (*.f64 (cbrt.f64 (+.f64 -1/8 (*.f64 -1/16 x))) (cbrt.f64 (+.f64 -1/8 (*.f64 -1/16 x))))) (cbrt.f64 (+.f64 -1/8 (*.f64 -1/16 x)))) |
(/.f64 (/.f64 (*.f64 x (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3)))) 1) (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8)))) |
(/.f64 (/.f64 (*.f64 x (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8))))) (sqrt.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8))))) |
(/.f64 (/.f64 (*.f64 x (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3)))) (*.f64 (cbrt.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8)))) (cbrt.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8)))))) (cbrt.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8))))) |
(/.f64 (/.f64 (*.f64 (-.f64 1/64 (*.f64 1/256 (*.f64 x x))) x) 1) (+.f64 -1/8 (*.f64 -1/16 x))) |
(/.f64 (/.f64 (*.f64 (-.f64 1/64 (*.f64 1/256 (*.f64 x x))) x) (sqrt.f64 (+.f64 -1/8 (*.f64 -1/16 x)))) (sqrt.f64 (+.f64 -1/8 (*.f64 -1/16 x)))) |
(/.f64 (/.f64 (*.f64 (-.f64 1/64 (*.f64 1/256 (*.f64 x x))) x) (*.f64 (cbrt.f64 (+.f64 -1/8 (*.f64 -1/16 x))) (cbrt.f64 (+.f64 -1/8 (*.f64 -1/16 x))))) (cbrt.f64 (+.f64 -1/8 (*.f64 -1/16 x)))) |
(/.f64 (/.f64 (*.f64 (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3))) x) 1) (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8)))) |
(/.f64 (/.f64 (*.f64 (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3))) x) (sqrt.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8))))) (sqrt.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8))))) |
(/.f64 (/.f64 (*.f64 (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3))) x) (*.f64 (cbrt.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8)))) (cbrt.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8)))))) (cbrt.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8))))) |
(pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1) |
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/16 -1/8))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/16 -1/8))) 3) |
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/16 -1/8))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 1/16 -1/8))))) |
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/16 -1/8)))) |
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/16 -1/8)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x 1/16 -1/8))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/16 -1/8)))) |
(fma.f64 x -1/8 (*.f64 x (*.f64 x 1/16))) |
(fma.f64 -1/8 x (*.f64 x (*.f64 x 1/16))) |
| Outputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
(*.f64 1/16 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))) |
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/16 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) |
(*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
(*.f64 1/16 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))) |
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/16 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) |
(*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
(*.f64 -1/8 x) |
(*.f64 x -1/8) |
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2))) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2))) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2))) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(*.f64 1/16 (pow.f64 x 2)) |
(*.f64 1/16 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/16)) |
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2))) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2))) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2))) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(*.f64 1/16 (pow.f64 x 2)) |
(*.f64 1/16 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/16)) |
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2))) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2))) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2))) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(+.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
(+.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) (*.f64 x 1/2)) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
(+.f64 (*.f64 x (*.f64 x -1/8)) (+.f64 (*.f64 x (*.f64 x (*.f64 x 1/16))) (*.f64 x 1/2))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
(+.f64 (*.f64 x (*.f64 x -1/8)) (*.f64 x (+.f64 1/2 (*.f64 x (*.f64 x 1/16))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
(+.f64 (*.f64 (*.f64 x 1/2) 1) (*.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) 1)) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
(+.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) 1) (*.f64 (*.f64 x 1/2) 1)) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
(+.f64 (*.f64 (*.f64 x -1/8) x) (+.f64 (*.f64 (*.f64 x (*.f64 x 1/16)) x) (*.f64 x 1/2))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
(+.f64 (+.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x -1/8))) (*.f64 x (*.f64 x (*.f64 x 1/16)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
(+.f64 (+.f64 (*.f64 x 1/2) (*.f64 (*.f64 x -1/8) x)) (*.f64 (*.f64 x (*.f64 x 1/16)) x)) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
(+.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) (*.f64 x (*.f64 x (*.f64 x 1/16)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
(+.f64 (*.f64 1 (*.f64 (*.f64 x 1/2) 1)) (*.f64 1 (*.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) 1))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)))) 1) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
(/.f64 x (/.f64 1 (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2)) (/.f64 (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))) x)) |
(*.f64 (/.f64 (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2)) (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8)))) x) |
(*.f64 (/.f64 x (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8)))) (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2))) |
(*.f64 (/.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) -1/2)) (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2) -1/4)) |
(/.f64 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)) (/.f64 (+.f64 1/4 (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2))) x)) |
(*.f64 (/.f64 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)) (+.f64 1/4 (*.f64 x (*.f64 (fma.f64 x 1/16 -1/8) (fma.f64 x (fma.f64 x 1/16 -1/8) -1/2))))) x) |
(*.f64 x (/.f64 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)) (fma.f64 x (*.f64 (fma.f64 x 1/16 -1/8) (fma.f64 x (fma.f64 x 1/16 -1/8) -1/2)) 1/4))) |
(*.f64 x (/.f64 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)) (fma.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (fma.f64 x (fma.f64 x 1/16 -1/8) -1/2) 1/4))) |
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2))) (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8)))) |
(*.f64 (/.f64 (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2)) (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8)))) x) |
(*.f64 (/.f64 x (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8)))) (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2))) |
(*.f64 (/.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) -1/2)) (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2) -1/4)) |
(/.f64 (*.f64 x (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3))) (+.f64 1/4 (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2)))) |
(*.f64 (/.f64 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)) (+.f64 1/4 (*.f64 x (*.f64 (fma.f64 x 1/16 -1/8) (fma.f64 x (fma.f64 x 1/16 -1/8) -1/2))))) x) |
(*.f64 x (/.f64 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)) (fma.f64 x (*.f64 (fma.f64 x 1/16 -1/8) (fma.f64 x (fma.f64 x 1/16 -1/8) -1/2)) 1/4))) |
(*.f64 x (/.f64 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)) (fma.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (fma.f64 x (fma.f64 x 1/16 -1/8) -1/2) 1/4))) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2)) x) (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8)))) |
(*.f64 (/.f64 (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2)) (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8)))) x) |
(*.f64 (/.f64 x (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8)))) (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2))) |
(*.f64 (/.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) -1/2)) (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2) -1/4)) |
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)) x) (+.f64 1/4 (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2)))) |
(*.f64 (/.f64 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)) (+.f64 1/4 (*.f64 x (*.f64 (fma.f64 x 1/16 -1/8) (fma.f64 x (fma.f64 x 1/16 -1/8) -1/2))))) x) |
(*.f64 x (/.f64 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)) (fma.f64 x (*.f64 (fma.f64 x 1/16 -1/8) (fma.f64 x (fma.f64 x 1/16 -1/8) -1/2)) 1/4))) |
(*.f64 x (/.f64 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)) (fma.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (fma.f64 x (fma.f64 x 1/16 -1/8) -1/2) 1/4))) |
(/.f64 (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (*.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))))) (-.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (*.f64 x x) (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2))) (*.f64 x (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2))) (*.f64 x (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) 3)) (+.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (-.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8)))) (*.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))))))) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)) 3)) (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)) (*.f64 1/2 x))))) |
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3))) (fma.f64 x (*.f64 1/4 x) (*.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) -1/2))))) |
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(/.f64 (*.f64 (neg.f64 (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3)))) x) (neg.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8))))) |
(/.f64 x (/.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (fma.f64 x 1/16 1/8))) (+.f64 -1/512 (*.f64 (pow.f64 x 3) 1/4096)))) |
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1/4096 -1/512) (fma.f64 (*.f64 x 1/16) (fma.f64 x 1/16 1/8) 1/64))) |
(/.f64 (*.f64 (*.f64 x (-.f64 1/64 (*.f64 1/256 (*.f64 x x)))) 1) (+.f64 -1/8 (*.f64 -1/16 x))) |
(*.f64 (/.f64 (+.f64 1/64 (*.f64 -1/256 (*.f64 x x))) (+.f64 -1/8 (*.f64 x -1/16))) x) |
(*.f64 x (/.f64 (+.f64 1/64 (*.f64 (*.f64 x x) -1/256)) (fma.f64 x -1/16 -1/8))) |
(/.f64 (fma.f64 1/256 (*.f64 x x) -1/64) (/.f64 (fma.f64 x 1/16 1/8) x)) |
(/.f64 (*.f64 (*.f64 x (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3)))) 1) (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8)))) |
(/.f64 x (/.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (fma.f64 x 1/16 1/8))) (+.f64 -1/512 (*.f64 (pow.f64 x 3) 1/4096)))) |
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1/4096 -1/512) (fma.f64 (*.f64 x 1/16) (fma.f64 x 1/16 1/8) 1/64))) |
(/.f64 (*.f64 (*.f64 (-.f64 1/64 (*.f64 1/256 (*.f64 x x))) x) 1) (+.f64 -1/8 (*.f64 -1/16 x))) |
(*.f64 (/.f64 (+.f64 1/64 (*.f64 -1/256 (*.f64 x x))) (+.f64 -1/8 (*.f64 x -1/16))) x) |
(*.f64 x (/.f64 (+.f64 1/64 (*.f64 (*.f64 x x) -1/256)) (fma.f64 x -1/16 -1/8))) |
(/.f64 (fma.f64 1/256 (*.f64 x x) -1/64) (/.f64 (fma.f64 x 1/16 1/8) x)) |
(/.f64 (*.f64 (*.f64 (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3))) x) 1) (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8)))) |
(/.f64 x (/.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (fma.f64 x 1/16 1/8))) (+.f64 -1/512 (*.f64 (pow.f64 x 3) 1/4096)))) |
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1/4096 -1/512) (fma.f64 (*.f64 x 1/16) (fma.f64 x 1/16 1/8) 1/64))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x -1/8) (*.f64 x -1/8)) (*.f64 (*.f64 x (*.f64 x 1/16)) (*.f64 x (*.f64 x 1/16)))) 1) (-.f64 (*.f64 x -1/8) (*.f64 x (*.f64 x 1/16)))) |
(/.f64 (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (*.f64 x (-.f64 -1/8 (*.f64 x 1/16)))) (*.f64 x (-.f64 -1/8 (*.f64 x 1/16)))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 1/64 (*.f64 (*.f64 x x) -1/256))) (*.f64 x (fma.f64 x -1/16 -1/8))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 1/64 (*.f64 x (*.f64 x 1/256)))) (*.f64 x (fma.f64 x -1/16 -1/8))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x -1/8) 3) (pow.f64 (*.f64 x (*.f64 x 1/16)) 3)) 1) (+.f64 (*.f64 (*.f64 x -1/8) (*.f64 x -1/8)) (-.f64 (*.f64 (*.f64 x (*.f64 x 1/16)) (*.f64 x (*.f64 x 1/16))) (*.f64 (*.f64 x -1/8) (*.f64 x (*.f64 x 1/16)))))) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (*.f64 1/16 (*.f64 x x)) 3)) (+.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 (*.f64 1/16 (*.f64 x x)) (*.f64 x -1/8))))) |
(/.f64 (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 3) 1/4096 -1/512)) (fma.f64 x (*.f64 1/64 x) (*.f64 x (*.f64 (*.f64 x 1/16) (*.f64 x (fma.f64 x 1/16 1/8)))))) |
(/.f64 (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 3) 1/4096 -1/512)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x 1/16) (fma.f64 x 1/16 1/8) 1/64))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/64 (*.f64 1/256 (*.f64 x x)))) (*.f64 (sqrt.f64 (fma.f64 x 1/16 -1/8)) x)) (sqrt.f64 (+.f64 -1/8 (*.f64 -1/16 x)))) |
(/.f64 (sqrt.f64 (+.f64 1/64 (*.f64 -1/256 (*.f64 x x)))) (/.f64 (sqrt.f64 (+.f64 -1/8 (*.f64 x -1/16))) (*.f64 x (sqrt.f64 (fma.f64 x 1/16 -1/8))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/64 (*.f64 (*.f64 x x) -1/256))) (sqrt.f64 (fma.f64 x -1/16 -1/8))) (*.f64 x (sqrt.f64 (fma.f64 x 1/16 -1/8)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1/64 (*.f64 x (*.f64 x 1/256)))) (sqrt.f64 (fma.f64 x -1/16 -1/8))) (*.f64 x (sqrt.f64 (fma.f64 x 1/16 -1/8)))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3)))) (*.f64 (sqrt.f64 (fma.f64 x 1/16 -1/8)) x)) (sqrt.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8))))) |
(/.f64 (sqrt.f64 (+.f64 -1/512 (*.f64 (pow.f64 x 3) 1/4096))) (/.f64 (sqrt.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (fma.f64 x 1/16 1/8)))) (*.f64 x (sqrt.f64 (fma.f64 x 1/16 -1/8))))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 1/4096 -1/512)) (sqrt.f64 (fma.f64 (*.f64 x 1/16) (fma.f64 x 1/16 1/8) 1/64))) (*.f64 x (sqrt.f64 (fma.f64 x 1/16 -1/8)))) |
(/.f64 (sqrt.f64 (fma.f64 x 1/16 -1/8)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 x 1/16) (fma.f64 x 1/16 1/8) 1/64)) (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x 3) 1/4096 -1/512))))) |
(/.f64 (/.f64 (*.f64 x (-.f64 1/64 (*.f64 1/256 (*.f64 x x)))) 1) (+.f64 -1/8 (*.f64 -1/16 x))) |
(*.f64 (/.f64 (+.f64 1/64 (*.f64 -1/256 (*.f64 x x))) (+.f64 -1/8 (*.f64 x -1/16))) x) |
(*.f64 x (/.f64 (+.f64 1/64 (*.f64 (*.f64 x x) -1/256)) (fma.f64 x -1/16 -1/8))) |
(/.f64 (fma.f64 1/256 (*.f64 x x) -1/64) (/.f64 (fma.f64 x 1/16 1/8) x)) |
(/.f64 (/.f64 (*.f64 x (-.f64 1/64 (*.f64 1/256 (*.f64 x x)))) (sqrt.f64 (+.f64 -1/8 (*.f64 -1/16 x)))) (sqrt.f64 (+.f64 -1/8 (*.f64 -1/16 x)))) |
(*.f64 (/.f64 (+.f64 1/64 (*.f64 -1/256 (*.f64 x x))) (+.f64 -1/8 (*.f64 x -1/16))) x) |
(*.f64 x (/.f64 (+.f64 1/64 (*.f64 (*.f64 x x) -1/256)) (fma.f64 x -1/16 -1/8))) |
(/.f64 (fma.f64 1/256 (*.f64 x x) -1/64) (/.f64 (fma.f64 x 1/16 1/8) x)) |
(/.f64 (/.f64 (*.f64 x (-.f64 1/64 (*.f64 1/256 (*.f64 x x)))) (*.f64 (cbrt.f64 (+.f64 -1/8 (*.f64 -1/16 x))) (cbrt.f64 (+.f64 -1/8 (*.f64 -1/16 x))))) (cbrt.f64 (+.f64 -1/8 (*.f64 -1/16 x)))) |
(*.f64 (/.f64 (+.f64 1/64 (*.f64 -1/256 (*.f64 x x))) (+.f64 -1/8 (*.f64 x -1/16))) x) |
(*.f64 x (/.f64 (+.f64 1/64 (*.f64 (*.f64 x x) -1/256)) (fma.f64 x -1/16 -1/8))) |
(/.f64 (fma.f64 1/256 (*.f64 x x) -1/64) (/.f64 (fma.f64 x 1/16 1/8) x)) |
(/.f64 (/.f64 (*.f64 x (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3)))) 1) (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8)))) |
(/.f64 x (/.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (fma.f64 x 1/16 1/8))) (+.f64 -1/512 (*.f64 (pow.f64 x 3) 1/4096)))) |
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1/4096 -1/512) (fma.f64 (*.f64 x 1/16) (fma.f64 x 1/16 1/8) 1/64))) |
(/.f64 (/.f64 (*.f64 x (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8))))) (sqrt.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8))))) |
(/.f64 x (/.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (fma.f64 x 1/16 1/8))) (+.f64 -1/512 (*.f64 (pow.f64 x 3) 1/4096)))) |
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1/4096 -1/512) (fma.f64 (*.f64 x 1/16) (fma.f64 x 1/16 1/8) 1/64))) |
(/.f64 (/.f64 (*.f64 x (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3)))) (*.f64 (cbrt.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8)))) (cbrt.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8)))))) (cbrt.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8))))) |
(/.f64 x (/.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (fma.f64 x 1/16 1/8))) (+.f64 -1/512 (*.f64 (pow.f64 x 3) 1/4096)))) |
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1/4096 -1/512) (fma.f64 (*.f64 x 1/16) (fma.f64 x 1/16 1/8) 1/64))) |
(/.f64 (/.f64 (*.f64 (-.f64 1/64 (*.f64 1/256 (*.f64 x x))) x) 1) (+.f64 -1/8 (*.f64 -1/16 x))) |
(*.f64 (/.f64 (+.f64 1/64 (*.f64 -1/256 (*.f64 x x))) (+.f64 -1/8 (*.f64 x -1/16))) x) |
(*.f64 x (/.f64 (+.f64 1/64 (*.f64 (*.f64 x x) -1/256)) (fma.f64 x -1/16 -1/8))) |
(/.f64 (fma.f64 1/256 (*.f64 x x) -1/64) (/.f64 (fma.f64 x 1/16 1/8) x)) |
(/.f64 (/.f64 (*.f64 (-.f64 1/64 (*.f64 1/256 (*.f64 x x))) x) (sqrt.f64 (+.f64 -1/8 (*.f64 -1/16 x)))) (sqrt.f64 (+.f64 -1/8 (*.f64 -1/16 x)))) |
(*.f64 (/.f64 (+.f64 1/64 (*.f64 -1/256 (*.f64 x x))) (+.f64 -1/8 (*.f64 x -1/16))) x) |
(*.f64 x (/.f64 (+.f64 1/64 (*.f64 (*.f64 x x) -1/256)) (fma.f64 x -1/16 -1/8))) |
(/.f64 (fma.f64 1/256 (*.f64 x x) -1/64) (/.f64 (fma.f64 x 1/16 1/8) x)) |
(/.f64 (/.f64 (*.f64 (-.f64 1/64 (*.f64 1/256 (*.f64 x x))) x) (*.f64 (cbrt.f64 (+.f64 -1/8 (*.f64 -1/16 x))) (cbrt.f64 (+.f64 -1/8 (*.f64 -1/16 x))))) (cbrt.f64 (+.f64 -1/8 (*.f64 -1/16 x)))) |
(*.f64 (/.f64 (+.f64 1/64 (*.f64 -1/256 (*.f64 x x))) (+.f64 -1/8 (*.f64 x -1/16))) x) |
(*.f64 x (/.f64 (+.f64 1/64 (*.f64 (*.f64 x x) -1/256)) (fma.f64 x -1/16 -1/8))) |
(/.f64 (fma.f64 1/256 (*.f64 x x) -1/64) (/.f64 (fma.f64 x 1/16 1/8) x)) |
(/.f64 (/.f64 (*.f64 (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3))) x) 1) (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8)))) |
(/.f64 x (/.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (fma.f64 x 1/16 1/8))) (+.f64 -1/512 (*.f64 (pow.f64 x 3) 1/4096)))) |
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1/4096 -1/512) (fma.f64 (*.f64 x 1/16) (fma.f64 x 1/16 1/8) 1/64))) |
(/.f64 (/.f64 (*.f64 (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3))) x) (sqrt.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8))))) (sqrt.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8))))) |
(/.f64 x (/.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (fma.f64 x 1/16 1/8))) (+.f64 -1/512 (*.f64 (pow.f64 x 3) 1/4096)))) |
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1/4096 -1/512) (fma.f64 (*.f64 x 1/16) (fma.f64 x 1/16 1/8) 1/64))) |
(/.f64 (/.f64 (*.f64 (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3))) x) (*.f64 (cbrt.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8)))) (cbrt.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8)))))) (cbrt.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8))))) |
(/.f64 x (/.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (fma.f64 x 1/16 1/8))) (+.f64 -1/512 (*.f64 (pow.f64 x 3) 1/4096)))) |
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1/4096 -1/512) (fma.f64 (*.f64 x 1/16) (fma.f64 x 1/16 1/8) 1/64))) |
(pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/16 -1/8))) 2) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/16 -1/8))) 3) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3) 1/3) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2)) |
(fabs.f64 (*.f64 x (fma.f64 x 1/16 -1/8))) |
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/16 -1/8))) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 1/16 -1/8))))) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/16 -1/8)))) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/16 -1/8)))) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x 1/16 -1/8))) 1)) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/16 -1/8)))) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(fma.f64 x -1/8 (*.f64 x (*.f64 x 1/16))) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(fma.f64 -1/8 x (*.f64 x (*.f64 x 1/16))) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
Found 1 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 -1/8 (*.f64 x x)) |
Compiled 24 to 13 computations (45.8% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 -1/8 (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (*.f64 -1/8 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (*.f64 -1/8 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1080× | add-sqr-sqrt |
| 1058× | *-un-lft-identity |
| 1006× | pow1 |
| 990× | add-cube-cbrt |
| 982× | add-cbrt-cube |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 122 | 13 |
| 2 | 1411 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/8 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/8 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/8 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/8 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/8 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/8) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/8 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/8 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/8 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/8 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 1470× | distribute-rgt-in |
| 1446× | distribute-lft-in |
| 1164× | log-prod |
| 760× | associate-*r* |
| 696× | associate-+r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 299 |
| 1 | 93 | 299 |
| 2 | 348 | 299 |
| 3 | 1913 | 299 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/8 (pow.f64 x 2)) |
(*.f64 -1/8 (pow.f64 x 2)) |
(*.f64 -1/8 (pow.f64 x 2)) |
(*.f64 -1/8 (pow.f64 x 2)) |
(*.f64 -1/8 (pow.f64 x 2)) |
(*.f64 -1/8 (pow.f64 x 2)) |
(*.f64 -1/8 (pow.f64 x 2)) |
(*.f64 -1/8 (pow.f64 x 2)) |
(*.f64 -1/8 (pow.f64 x 2)) |
(*.f64 -1/8 (pow.f64 x 2)) |
(*.f64 -1/8 (pow.f64 x 2)) |
(*.f64 -1/8 (pow.f64 x 2)) |
(-.f64 (+.f64 1 (*.f64 -1/8 (*.f64 x x))) 1) |
(pow.f64 (*.f64 -1/8 (*.f64 x x)) 1) |
(pow.f64 (*.f64 x (sqrt.f64 -1/8)) 2) |
(pow.f64 (cbrt.f64 (*.f64 -1/8 (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (*.f64 -1/8 (*.f64 x x)) 3) 1/3) |
(sqrt.f64 (*.f64 1/64 (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 -1/8) (*.f64 x x))) |
(cbrt.f64 (pow.f64 (*.f64 -1/8 (*.f64 x x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 -1/8 (*.f64 x x)))) |
(exp.f64 (log.f64 (*.f64 -1/8 (*.f64 x x)))) |
(log1p.f64 (expm1.f64 (*.f64 -1/8 (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 -1/8 (pow.f64 x 2)) |
(*.f64 -1/8 (*.f64 x x)) |
(*.f64 x (*.f64 -1/8 x)) |
(*.f64 -1/8 (pow.f64 x 2)) |
(*.f64 -1/8 (*.f64 x x)) |
(*.f64 x (*.f64 -1/8 x)) |
(*.f64 -1/8 (pow.f64 x 2)) |
(*.f64 -1/8 (*.f64 x x)) |
(*.f64 x (*.f64 -1/8 x)) |
(*.f64 -1/8 (pow.f64 x 2)) |
(*.f64 -1/8 (*.f64 x x)) |
(*.f64 x (*.f64 -1/8 x)) |
(*.f64 -1/8 (pow.f64 x 2)) |
(*.f64 -1/8 (*.f64 x x)) |
(*.f64 x (*.f64 -1/8 x)) |
(*.f64 -1/8 (pow.f64 x 2)) |
(*.f64 -1/8 (*.f64 x x)) |
(*.f64 x (*.f64 -1/8 x)) |
(*.f64 -1/8 (pow.f64 x 2)) |
(*.f64 -1/8 (*.f64 x x)) |
(*.f64 x (*.f64 -1/8 x)) |
(*.f64 -1/8 (pow.f64 x 2)) |
(*.f64 -1/8 (*.f64 x x)) |
(*.f64 x (*.f64 -1/8 x)) |
(*.f64 -1/8 (pow.f64 x 2)) |
(*.f64 -1/8 (*.f64 x x)) |
(*.f64 x (*.f64 -1/8 x)) |
(*.f64 -1/8 (pow.f64 x 2)) |
(*.f64 -1/8 (*.f64 x x)) |
(*.f64 x (*.f64 -1/8 x)) |
(*.f64 -1/8 (pow.f64 x 2)) |
(*.f64 -1/8 (*.f64 x x)) |
(*.f64 x (*.f64 -1/8 x)) |
(*.f64 -1/8 (pow.f64 x 2)) |
(*.f64 -1/8 (*.f64 x x)) |
(*.f64 x (*.f64 -1/8 x)) |
(-.f64 (+.f64 1 (*.f64 -1/8 (*.f64 x x))) 1) |
(*.f64 -1/8 (*.f64 x x)) |
(*.f64 x (*.f64 -1/8 x)) |
(pow.f64 (*.f64 -1/8 (*.f64 x x)) 1) |
(*.f64 -1/8 (*.f64 x x)) |
(*.f64 x (*.f64 -1/8 x)) |
(pow.f64 (*.f64 x (sqrt.f64 -1/8)) 2) |
(*.f64 -1/8 (*.f64 x x)) |
(*.f64 x (*.f64 -1/8 x)) |
(pow.f64 (cbrt.f64 (*.f64 -1/8 (*.f64 x x))) 3) |
(*.f64 -1/8 (*.f64 x x)) |
(*.f64 x (*.f64 -1/8 x)) |
(pow.f64 (pow.f64 (*.f64 -1/8 (*.f64 x x)) 3) 1/3) |
(*.f64 -1/8 (*.f64 x x)) |
(*.f64 x (*.f64 -1/8 x)) |
(sqrt.f64 (*.f64 1/64 (pow.f64 x 4))) |
(*.f64 -1/8 (*.f64 x x)) |
(*.f64 x (*.f64 -1/8 x)) |
(log.f64 (pow.f64 (exp.f64 -1/8) (*.f64 x x))) |
(*.f64 -1/8 (*.f64 x x)) |
(*.f64 x (*.f64 -1/8 x)) |
(cbrt.f64 (pow.f64 (*.f64 -1/8 (*.f64 x x)) 3)) |
(*.f64 -1/8 (*.f64 x x)) |
(*.f64 x (*.f64 -1/8 x)) |
(expm1.f64 (log1p.f64 (*.f64 -1/8 (*.f64 x x)))) |
(*.f64 -1/8 (*.f64 x x)) |
(*.f64 x (*.f64 -1/8 x)) |
(exp.f64 (log.f64 (*.f64 -1/8 (*.f64 x x)))) |
(*.f64 -1/8 (*.f64 x x)) |
(*.f64 x (*.f64 -1/8 x)) |
(log1p.f64 (expm1.f64 (*.f64 -1/8 (*.f64 x x)))) |
(*.f64 -1/8 (*.f64 x x)) |
(*.f64 x (*.f64 -1/8 x)) |
Found 3 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (+.f64 (sqrt.f64 (+.f64 x 1)) 1) |
| ✓ | 99.9% | (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x) |
| ✓ | 99.6% | (/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)) |
Compiled 34 to 26 computations (23.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)) |
| 0.0ms | x | @ | inf | (/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x) |
| 0.0ms | x | @ | inf | (+.f64 (sqrt.f64 (+.f64 x 1)) 1) |
| 1× | batch-egg-rewrite |
| 1026× | associate-/l* |
| 968× | *-commutative |
| 708× | associate-/r/ |
| 590× | distribute-lft-in |
| 578× | swap-sqr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 69 |
| 1 | 223 | 53 |
| 2 | 3129 | 53 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)) |
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x) |
(+.f64 (sqrt.f64 (+.f64 x 1)) 1) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1052× | associate-*r* |
| 880× | times-frac |
| 878× | associate-/l* |
| 878× | associate-*l* |
| 746× | associate-*r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 592 | 9339 |
| 1 | 1754 | 8493 |
| 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 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3))))) |
(/.f64 2 x) |
(+.f64 1/2 (*.f64 2 (/.f64 1 x))) |
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) |
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (+.f64 (*.f64 1/16 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x))))) |
2 |
(+.f64 (*.f64 1/2 x) 2) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 2)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3))))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) -1) |
(+.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) 0)) |
(+.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) (*.f64 0 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))) |
(+.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) (+.f64 x -1))) |
(+.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) (*.f64 (+.f64 x -1) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))) |
(+.f64 -1 (sqrt.f64 (+.f64 1 x))) |
(+.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) (+.f64 1 x)) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) -1)) |
(+.f64 (*.f64 (/.f64 x x) (sqrt.f64 (+.f64 1 x))) (*.f64 (/.f64 x x) -1)) |
(+.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) 1) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(+.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) x) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 2 (sqrt.f64 (+.f64 1 x))))) |
(+.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 1 x)) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(+.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 1 x))) |
(+.f64 (*.f64 (+.f64 1 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)) (*.f64 -1 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))) |
(+.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 x x)) (*.f64 -1 (/.f64 x x))) |
(+.f64 (*.f64 1 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))) (*.f64 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))))) |
(+.f64 (*.f64 x (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))) (*.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))))) |
(+.f64 (*.f64 (+.f64 1 x) (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))))) |
(+.f64 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))) (*.f64 (+.f64 1 x) (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))))) |
(-.f64 (sqrt.f64 (+.f64 1 x)) 1) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2) |
(*.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) |
(*.f64 x (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) (/.f64 x x)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))) |
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))) |
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)) |
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) x) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) (pow.f64 (/.f64 1 x) -1)) |
(*.f64 (/.f64 1 x) (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) -1) |
(*.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))) |
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) |
(*.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))) |
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)) (sqrt.f64 x)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)) (cbrt.f64 x)) |
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))) |
(*.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(*.f64 (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))) |
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (*.f64 x (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (/.f64 x x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 x)) |
(*.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) 1)) |
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) 1/4) 1) (+.f64 1 (pow.f64 (+.f64 1 x) 1/4))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 (sqrt.f64 x) 1)) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))) |
(*.f64 (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(*.f64 (pow.f64 (/.f64 1 x) -1) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) -1) (pow.f64 (sqrt.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) -1)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) -1)) |
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) -1) (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2) -1)) |
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 x)) |
(*.f64 (/.f64 (neg.f64 x) (neg.f64 x)) (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) |
(*.f64 (/.f64 (neg.f64 x) (+.f64 -1 (neg.f64 (pow.f64 (+.f64 1 x) 3/2)))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (/.f64 1 (*.f64 x (/.f64 1 x))) (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) |
(*.f64 (/.f64 1 (*.f64 (/.f64 1 x) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (/.f64 x (+.f64 -1 (neg.f64 (pow.f64 (+.f64 1 x) 3/2)))) (neg.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (sqrt.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (sqrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (neg.f64 x))) |
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) 1) x) |
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) -1) (neg.f64 x)) |
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 x)) |
(*.f64 (/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (sqrt.f64 x)) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(*.f64 (/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))) (sqrt.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 x)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))) (cbrt.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) 1) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (cbrt.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) (cbrt.f64 (neg.f64 x))) |
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) -1) |
(pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1) |
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2) |
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3) |
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3) 1/3) |
(neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x)))) |
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2)) |
(log.f64 (exp.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) |
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3))) |
(expm1.f64 (*.f64 (log1p.f64 x) 1/2)) |
(exp.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x))))) |
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) -1) |
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) -1) |
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 1 x)))) |
(+.f64 (/.f64 1 x) (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 x))) |
(+.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 1 x))) (/.f64 1 x)) |
(+.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 x)) (/.f64 1 x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) 1) |
(*.f64 1 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 x)) |
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (neg.f64 (/.f64 -1 x))) |
(*.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1) |
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (/.f64 1 x))) |
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (sqrt.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) |
(*.f64 (sqrt.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (neg.f64 (/.f64 -1 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))) |
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) |
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2) (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) |
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2) (neg.f64 (/.f64 -1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))) |
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) |
(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 -1 x)) |
(*.f64 -1 (/.f64 -1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(*.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (neg.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))) |
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(*.f64 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (/.f64 1 x)) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) |
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(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
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(*.f64 (/.f64 -1 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) |
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(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (cbrt.f64 x)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (pow.f64 (cbrt.f64 x) 2))) |
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (sqrt.f64 x))) |
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(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (-.f64 (pow.f64 (+.f64 1 x) 3) 1)) (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))) |
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(*.f64 (/.f64 (*.f64 x (/.f64 1 x)) x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) |
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(*.f64 (/.f64 (*.f64 x (/.f64 1 x)) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)) (/.f64 1 x)) |
(*.f64 (/.f64 (*.f64 x (/.f64 1 x)) (neg.f64 x)) (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) |
(*.f64 (/.f64 (*.f64 x (/.f64 1 x)) -1) (/.f64 -1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(*.f64 (/.f64 (*.f64 x (/.f64 1 x)) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) |
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(*.f64 (/.f64 (*.f64 x (/.f64 1 x)) (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2))) (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) |
(*.f64 (/.f64 (*.f64 x (/.f64 1 x)) (-.f64 (pow.f64 (+.f64 1 x) 3/2) 1)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))) (+.f64 x (sqrt.f64 (+.f64 1 x)))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) 3))) (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (-.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x))))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) (sqrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (cbrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))) (cbrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) |
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(pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1) |
(pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) -1) |
(pow.f64 (sqrt.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 3) |
(pow.f64 (/.f64 1 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3)) 1/3) |
(neg.f64 (/.f64 -1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(sqrt.f64 (pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)) |
(log.f64 (exp.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))) |
(cbrt.f64 (/.f64 1 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3))) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) |
(exp.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 0) |
(-.f64 (exp.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))))) 1) |
(-.f64 (/.f64 (+.f64 1 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) 1) |
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) |
(*.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1) |
(*.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) x) |
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) |
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(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) |
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(*.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) |
(*.f64 (sqrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 (sqrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))) |
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(*.f64 (/.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) |
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(*.f64 (/.f64 x (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)) (/.f64 1 x)) |
(*.f64 (/.f64 x (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (sqrt.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) |
(*.f64 (/.f64 x (sqrt.f64 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))) |
(*.f64 (/.f64 x (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) |
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) |
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(*.f64 (/.f64 x -1) (/.f64 -1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
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(*.f64 (/.f64 x (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2))) (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) |
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(*.f64 (/.f64 (neg.f64 x) (neg.f64 x)) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) |
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(*.f64 (neg.f64 (sqrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))) (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (neg.f64 (neg.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) |
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(/.f64 1 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)) |
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (neg.f64 x))) |
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(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1) |
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(/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))) |
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(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 (cbrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) (cbrt.f64 x))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (neg.f64 (cbrt.f64 x)))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (/.f64 1 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x))))))) |
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 1 x)))) |
(/.f64 -1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) x)) |
(/.f64 (sqrt.f64 (neg.f64 x)) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (neg.f64 x)))) |
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (/.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))))) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (neg.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))) (/.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))))) |
(/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))) |
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x))) |
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 (+.f64 1 x) 3/2))) (neg.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 (+.f64 (*.f64 x (+.f64 1 x)) x) (*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) (+.f64 x 2))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 1 x) 3/2) 3)) (*.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3) (-.f64 1 (pow.f64 (+.f64 1 x) 3/2))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3) 1) (*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3) 1) (*.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) 1))) |
(/.f64 (neg.f64 (+.f64 -1 (neg.f64 (pow.f64 (+.f64 1 x) 3/2)))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x))))) |
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1) |
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) 2) |
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3) |
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3) 1/3) |
(neg.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) |
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (neg.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x))))))) |
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) |
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3)) |
(expm1.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))))) |
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) |
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) 1) |
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) 1) |
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 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 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -5/128 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 3))))) |
(/.f64 2 x) |
(+.f64 1/2 (*.f64 2 (/.f64 1 x))) |
(+.f64 1/2 (/.f64 2 x)) |
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) |
(fma.f64 -1/8 x (+.f64 1/2 (/.f64 2 x))) |
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (+.f64 (*.f64 1/16 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x))))) |
(fma.f64 -1/8 x (+.f64 1/2 (fma.f64 1/16 (*.f64 x x) (/.f64 2 x)))) |
2 |
(+.f64 (*.f64 1/2 x) 2) |
(fma.f64 1/2 x 2) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 2)) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 2) (*.f64 1/16 (pow.f64 x 3)))) |
(+.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2)) (*.f64 1/16 (pow.f64 x 3))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) -1) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(+.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) 0)) |
(+.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 0) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(+.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) (*.f64 0 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))) |
(+.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 0) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(+.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) (+.f64 x -1))) |
(*.f64 (+.f64 (+.f64 x -1) 1) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)) |
(*.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) (+.f64 x 0)) |
(+.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) (*.f64 (+.f64 x -1) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))) |
(*.f64 (+.f64 (+.f64 x -1) 1) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)) |
(*.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) (+.f64 x 0)) |
(+.f64 -1 (sqrt.f64 (+.f64 1 x))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(+.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) (+.f64 1 x)) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) -1)) |
(*.f64 (+.f64 (+.f64 x -1) 1) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)) |
(*.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) (+.f64 x 0)) |
(+.f64 (*.f64 (/.f64 x x) (sqrt.f64 (+.f64 1 x))) (*.f64 (/.f64 x x) -1)) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(+.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) 1) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (*.f64 x (+.f64 1 (-.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) x)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) |
(+.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) x) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 2 (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 x (/.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(+.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 1 x)) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (*.f64 x (+.f64 1 (-.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) x)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) |
(+.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 1 x))) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (*.f64 x (+.f64 1 (-.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) x)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) |
(+.f64 (*.f64 (+.f64 1 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)) (*.f64 -1 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))) |
(*.f64 (+.f64 (+.f64 x -1) 1) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)) |
(*.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) (+.f64 x 0)) |
(+.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 x x)) (*.f64 -1 (/.f64 x x))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(+.f64 (*.f64 1 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))) (*.f64 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))))) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (*.f64 x (+.f64 1 (-.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) x)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) |
(+.f64 (*.f64 x (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))) (*.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))))) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 x (/.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(+.f64 (*.f64 (+.f64 1 x) (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))))) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (*.f64 x (+.f64 1 (-.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) x)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) |
(+.f64 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))) (*.f64 (+.f64 1 x) (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))))) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (*.f64 x (+.f64 1 (-.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) x)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) |
(-.f64 (sqrt.f64 (+.f64 1 x)) 1) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(*.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) |
(+.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 0) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(*.f64 x (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)) |
(+.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 0) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1) |
(+.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 0) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) (/.f64 x x)) |
(+.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 0) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))) |
(+.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 0) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(+.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 0) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))) |
(+.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 0) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)) |
(+.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 0) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))) |
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(+.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 0) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) x) |
(+.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 0) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) (pow.f64 (/.f64 1 x) -1)) |
(+.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 0) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(*.f64 (/.f64 1 x) (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(+.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 0) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) -1) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(*.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 x (/.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)) (sqrt.f64 x)) |
(+.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 0) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)) (cbrt.f64 x)) |
(+.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 0) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 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 (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 x) 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 (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2)) |
(*.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(+.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 0) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(*.f64 (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))) |
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (*.f64 x (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 x (/.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(*.f64 (/.f64 x x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) |
(+.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 0) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 x (/.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 x)) |
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) 1)) |
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (+.f64 (pow.f64 (+.f64 x 1) 1/4) -1)) |
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(/.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (/.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (neg.f64 x)))) |
(*.f64 (/.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x))) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))) (/.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))))) |
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 (/.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) |
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))) |
(/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (/.f64 (neg.f64 (sqrt.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 (cbrt.f64 x))) |
(*.f64 (cbrt.f64 x) (/.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 (+.f64 1 x) 3/2))) (neg.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (neg.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (neg.f64 x) (-.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (+.f64 (*.f64 x (+.f64 1 x)) x) (*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) (+.f64 x 2))) |
(/.f64 (fma.f64 x (+.f64 x 1) x) (*.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) (+.f64 x 2))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 1 x) 3/2) 3)) (*.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3) (-.f64 1 (pow.f64 (+.f64 1 x) 3/2))))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 x 1) 3/2) 3)) (*.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))) (+.f64 (pow.f64 (+.f64 x 1) 3) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3) 1) (*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (*.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (*.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3) 1) (*.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) 1))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1)) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) |
(/.f64 (neg.f64 (+.f64 -1 (neg.f64 (pow.f64 (+.f64 1 x) 3/2)))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) 2) |
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2) |
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3) 1/3) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(neg.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (neg.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x))))))) |
(/.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (neg.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (neg.f64 x) (-.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) |
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) |
(fabs.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3)) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(expm1.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))))) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) |
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) |
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) 1) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) 1) |
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1) |
(+.f64 1 (pow.f64 (+.f64 x 1) 1/2)) |
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 1) |
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 1) |
Compiled 19981 to 15261 computations (23.6% saved)
11 alts after pruning (5 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 987 | 4 | 991 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 3 | 5 | 8 |
| Total | 990 | 11 | 1001 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 68.3% | (/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
| ✓ | 99.7% | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| ✓ | 67.3% | (/.f64 x 2) |
| ✓ | 99.5% | (/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)) |
| ▶ | 67.1% | (/.f64 1 (/.f64 2 x)) |
| ▶ | 99.4% | (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 1 x))))) |
| ▶ | 66.9% | (/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) |
| ▶ | 68.1% | (/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
| ✓ | 39.5% | (+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
| ✓ | 66.9% | (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
| 4.7% | 2 |
Compiled 96 to 78 computations (18.8% saved)
Found 1 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 99.7% | (/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
Compiled 20 to 16 computations (20% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
| 0.0ms | x | @ | -inf | (/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
| 0.0ms | x | @ | inf | (/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
| 1× | batch-egg-rewrite |
| 1902× | add-sqr-sqrt |
| 1870× | *-un-lft-identity |
| 1760× | add-cube-cbrt |
| 1748× | add-cbrt-cube |
| 184× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 19 |
| 1 | 198 | 19 |
| 2 | 2414 | 19 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)) (cbrt.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -1/2 (neg.f64 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1/4 (/.f64 4 (*.f64 x x)))) (-.f64 1/2 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1/8 (/.f64 8 (pow.f64 x 3)))) (+.f64 1/4 (-.f64 (/.f64 4 (*.f64 x x)) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -1) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (/.f64 2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))))))) |
| 1× | egg-herbie |
| 1468× | distribute-lft-in |
| 1426× | distribute-rgt-in |
| 1166× | associate-/r* |
| 1148× | associate-*r* |
| 944× | associate-*l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 947 |
| 1 | 263 | 935 |
| 2 | 808 | 925 |
| 3 | 3682 | 925 |
| 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 1/32 (pow.f64 x 3)) (*.f64 1/2 x))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 -1/128 (pow.f64 x 4))))) |
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 1 (+.f64 1/2 (/.f64 2 x))))) 1) |
(*.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))) |
(*.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1) |
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2)) |
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)) (cbrt.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) |
(*.f64 -1 (/.f64 1 (+.f64 -1/2 (neg.f64 (/.f64 2 x))))) |
(*.f64 (/.f64 1 (-.f64 1/4 (/.f64 4 (*.f64 x x)))) (-.f64 1/2 (/.f64 2 x))) |
(*.f64 (/.f64 1 (+.f64 1/8 (/.f64 8 (pow.f64 x 3)))) (+.f64 1/4 (-.f64 (/.f64 4 (*.f64 x x)) (/.f64 1 x)))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -1) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -1)) |
(pow.f64 (+.f64 1/2 (/.f64 2 x)) -1) |
(pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1) |
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))) -1)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) |
| 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 x (*.f64 x -1/8))) |
(*.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 1/32 (pow.f64 x 3)))) |
(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 1/32 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 -1/128 (pow.f64 x 4))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 -1/128 (pow.f64 x 4))))) |
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x (fma.f64 1/32 (pow.f64 x 3) (*.f64 -1/128 (pow.f64 x 4))))) |
(fma.f64 1/32 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/8) (fma.f64 -1/128 (pow.f64 x 4) (*.f64 1/2 x)))) |
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 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))) |
(+.f64 (/.f64 32 (*.f64 x x)) (+.f64 2 (/.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 2 (-.f64 (/.f64 32 (*.f64 x x)) (+.f64 (/.f64 8 x) (/.f64 128 (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 (/.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 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))) |
(+.f64 (/.f64 32 (*.f64 x x)) (+.f64 2 (/.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 2 (-.f64 (/.f64 32 (*.f64 x x)) (+.f64 (/.f64 8 x) (/.f64 128 (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 (/.f64 32 (*.f64 x x)) (/.f64 -8 x)) (/.f64 128 (pow.f64 x 3)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) 1) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(*.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(*.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2)) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)) (cbrt.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) |
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2))) |
(*.f64 -1 (/.f64 1 (+.f64 -1/2 (neg.f64 (/.f64 2 x))))) |
(/.f64 -1 (+.f64 -1/2 (/.f64 -2 x))) |
(*.f64 (/.f64 1 (-.f64 1/4 (/.f64 4 (*.f64 x x)))) (-.f64 1/2 (/.f64 2 x))) |
(*.f64 (/.f64 1 (-.f64 1/4 (/.f64 4 (*.f64 x x)))) (+.f64 1/2 (/.f64 -2 x))) |
(/.f64 (+.f64 1/2 (/.f64 -2 x)) (+.f64 1/4 (/.f64 -4 (*.f64 x x)))) |
(*.f64 (/.f64 1 (+.f64 1/8 (/.f64 8 (pow.f64 x 3)))) (+.f64 1/4 (-.f64 (/.f64 4 (*.f64 x x)) (/.f64 1 x)))) |
(/.f64 (+.f64 1/4 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 -1 x))) (+.f64 1/8 (/.f64 8 (pow.f64 x 3)))) |
(/.f64 (+.f64 (/.f64 4 (*.f64 x x)) (-.f64 1/4 (/.f64 1 x))) (+.f64 1/8 (/.f64 8 (pow.f64 x 3)))) |
(/.f64 (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 1/4 (/.f64 -1 x))) (+.f64 1/8 (/.f64 8 (pow.f64 x 3)))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -1) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -1)) |
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -2) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -1)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2)) (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2)) (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) |
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2))) |
(pow.f64 (+.f64 1/2 (/.f64 2 x)) -1) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) 2) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))) 3) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 3) 1/3) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 3)) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))))) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))) -1)) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))) 1)) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
Found 2 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) |
| ✓ | 99.7% | (/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) |
Compiled 48 to 39 computations (18.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) |
| 0.0ms | x | @ | 0 | (/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) |
| 0.0ms | x | @ | -inf | (/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) |
| 1× | batch-egg-rewrite |
| 1734× | associate-*l/ |
| 1050× | distribute-lft-in |
| 748× | associate-/r* |
| 366× | associate-/r/ |
| 316× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 48 |
| 1 | 292 | 48 |
| 2 | 3710 | 48 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) |
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -1/8 x)) (sqrt.f64 (*.f64 -1/8 x)) (+.f64 1/2 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) (*.f64 -1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/64)) (cbrt.f64 (*.f64 -1/8 x)) (+.f64 1/2 (/.f64 2 x))))))) |
| 1× | egg-herbie |
| 914× | +-commutative |
| 872× | associate-+r+ |
| 790× | associate-+l+ |
| 692× | associate-/l* |
| 692× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 520 | 13938 |
| 1 | 1489 | 12982 |
| 2 | 6726 | 12964 |
| 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 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -3/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3))))) |
(/.f64 -8 x) |
(neg.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (*.f64 1536 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 2))))))) |
(/.f64 -8 x) |
(neg.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (*.f64 1536 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 2))))))) |
(/.f64 2 x) |
(+.f64 1/2 (*.f64 2 (/.f64 1 x))) |
(*.f64 -1/8 x) |
(+.f64 (*.f64 -1/8 x) 1/2) |
(*.f64 -1/8 x) |
(+.f64 (*.f64 -1/8 x) 1/2) |
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (fma.f64 (neg.f64 (+.f64 1/2 (/.f64 2 x))) 1 (+.f64 1/2 (/.f64 2 x))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) (+.f64 1/2 (/.f64 2 x))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) (+.f64 1/2 (/.f64 2 x))))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (*.f64 -1/8 x)) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (neg.f64 (+.f64 1/2 (/.f64 2 x))))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (*.f64 -1/8 x)) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (*.f64 -1 (+.f64 1/2 (/.f64 2 x))))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (*.f64 -1/8 x)) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 2 x)))))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (*.f64 -1/8 x)) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2)) (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))))) |
(+.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) (*.f64 (*.f64 x x) 1/64)) (*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) (*.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x))))) |
(+.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) (*.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x)))) (*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) (*.f64 (*.f64 x x) 1/64))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))))) 1) |
(*.f64 1 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)))) |
(*.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) 1) |
(*.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) -1/2) (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) -1/2)) |
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) -2)) (cbrt.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))))) |
(*.f64 -1 (/.f64 -1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)))) |
(*.f64 (/.f64 -1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) -1) |
(*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (-.f64 (*.f64 -1/8 x) (+.f64 1/2 (/.f64 2 x)))) |
(*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) (+.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x))))) |
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(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 -1/8 x) (+.f64 1/2 (/.f64 2 x)))) (cbrt.f64 (-.f64 (*.f64 -1/8 x) (+.f64 1/2 (/.f64 2 x)))))) (cbrt.f64 (-.f64 (*.f64 -1/8 x) (+.f64 1/2 (/.f64 2 x))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) (sqrt.f64 (*.f64 -1/8 x)))) (-.f64 (sqrt.f64 (*.f64 -1/8 x)) (sqrt.f64 (+.f64 1/2 (/.f64 2 x))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) 1) (+.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x)))))) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x)))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x))))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x)))))) |
(pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) 1) |
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) 2) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) 3) |
(pow.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) 2)) |
(log.f64 (exp.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)))) |
(exp.f64 (log.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)))) |
(fma.f64 1 (*.f64 -1/8 x) (+.f64 1/2 (/.f64 2 x))) |
(fma.f64 1 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x)) |
(fma.f64 -1/8 x (+.f64 1/2 (/.f64 2 x))) |
(fma.f64 x -1/8 (+.f64 1/2 (/.f64 2 x))) |
(fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) (*.f64 -1/8 x)) |
(fma.f64 (sqrt.f64 (*.f64 -1/8 x)) (sqrt.f64 (*.f64 -1/8 x)) (+.f64 1/2 (/.f64 2 x))) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) (*.f64 -1/8 x)) |
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/64)) (cbrt.f64 (*.f64 -1/8 x)) (+.f64 1/2 (/.f64 2 x))) |
| 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 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -3/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -3/128 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) (*.f64 -3/128 (pow.f64 x 4))))) |
(/.f64 -8 x) |
(neg.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))) |
(+.f64 (/.f64 -32 (*.f64 x x)) (/.f64 -8 x)) |
(neg.f64 (+.f64 (*.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (/.f64 256 (pow.f64 x 3)) (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))) |
(+.f64 (/.f64 -256 (pow.f64 x 3)) (+.f64 (/.f64 -32 (*.f64 x x)) (/.f64 -8 x))) |
(neg.f64 (+.f64 (*.f64 1536 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 2))))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 256 (pow.f64 x 3)) (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))) (/.f64 1536 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 -256 (pow.f64 x 3)) (+.f64 (/.f64 -32 (*.f64 x x)) (/.f64 -8 x))) (/.f64 -1536 (pow.f64 x 4))) |
(/.f64 -8 x) |
(neg.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))) |
(+.f64 (/.f64 -32 (*.f64 x x)) (/.f64 -8 x)) |
(neg.f64 (+.f64 (*.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (/.f64 256 (pow.f64 x 3)) (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))) |
(+.f64 (/.f64 -256 (pow.f64 x 3)) (+.f64 (/.f64 -32 (*.f64 x x)) (/.f64 -8 x))) |
(neg.f64 (+.f64 (*.f64 1536 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 2))))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 256 (pow.f64 x 3)) (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))) (/.f64 1536 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 -256 (pow.f64 x 3)) (+.f64 (/.f64 -32 (*.f64 x x)) (/.f64 -8 x))) (/.f64 -1536 (pow.f64 x 4))) |
(/.f64 2 x) |
(+.f64 1/2 (*.f64 2 (/.f64 1 x))) |
(+.f64 1/2 (/.f64 2 x)) |
(*.f64 -1/8 x) |
(*.f64 x -1/8) |
(+.f64 (*.f64 -1/8 x) 1/2) |
(fma.f64 -1/8 x 1/2) |
(fma.f64 x -1/8 1/2) |
(*.f64 -1/8 x) |
(*.f64 x -1/8) |
(+.f64 (*.f64 -1/8 x) 1/2) |
(fma.f64 -1/8 x 1/2) |
(fma.f64 x -1/8 1/2) |
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (fma.f64 (neg.f64 (+.f64 1/2 (/.f64 2 x))) 1 (+.f64 1/2 (/.f64 2 x))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) (/.f64 (*.f64 1 (fma.f64 (+.f64 -1/2 (neg.f64 (/.f64 2 x))) 1 (+.f64 1/2 (/.f64 2 x)))) (-.f64 (*.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))) (/.f64 (+.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 -1/2 (/.f64 -2 x))) (-.f64 (*.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))) (/.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 -2 x) 0)) (-.f64 (*.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) (+.f64 1/2 (/.f64 2 x))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) (/.f64 (*.f64 1 (fma.f64 (+.f64 -1/2 (neg.f64 (/.f64 2 x))) 1 (+.f64 1/2 (/.f64 2 x)))) (-.f64 (*.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))) (/.f64 (+.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 -1/2 (/.f64 -2 x))) (-.f64 (*.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))) (/.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 -2 x) 0)) (-.f64 (*.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) (+.f64 1/2 (/.f64 2 x))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) (/.f64 (*.f64 1 (fma.f64 (+.f64 -1/2 (neg.f64 (/.f64 2 x))) 1 (+.f64 1/2 (/.f64 2 x)))) (-.f64 (*.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))) (/.f64 (+.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 -1/2 (/.f64 -2 x))) (-.f64 (*.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))) (/.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 -2 x) 0)) (-.f64 (*.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (*.f64 -1/8 x)) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (neg.f64 (+.f64 1/2 (/.f64 2 x))))) |
(/.f64 (-.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))) (-.f64 (*.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) |
(/.f64 (+.f64 (fma.f64 x -1/8 -1/2) (/.f64 -2 x)) (-.f64 (*.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (*.f64 -1/8 x)) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (*.f64 -1 (+.f64 1/2 (/.f64 2 x))))) |
(/.f64 (-.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))) (-.f64 (*.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) |
(/.f64 (+.f64 (fma.f64 x -1/8 -1/2) (/.f64 -2 x)) (-.f64 (*.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (*.f64 -1/8 x)) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 2 x)))))) |
(/.f64 (-.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))) (-.f64 (*.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) |
(/.f64 (+.f64 (fma.f64 x -1/8 -1/2) (/.f64 -2 x)) (-.f64 (*.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (*.f64 -1/8 x)) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2)) (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))))) |
(/.f64 (-.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))) (-.f64 (*.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) |
(/.f64 (+.f64 (fma.f64 x -1/8 -1/2) (/.f64 -2 x)) (-.f64 (*.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) |
(+.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) (*.f64 (*.f64 x x) 1/64)) (*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) (*.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x))))) |
(/.f64 (fma.f64 (*.f64 x x) 1/64 (*.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (-.f64 (/.f64 2 x) (*.f64 x -1/8))))) (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) |
(/.f64 (fma.f64 x (*.f64 x 1/64) (*.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x 1/8))))) (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) |
(+.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) (*.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x)))) (*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) (*.f64 (*.f64 x x) 1/64))) |
(/.f64 (fma.f64 (*.f64 x x) 1/64 (*.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (-.f64 (/.f64 2 x) (*.f64 x -1/8))))) (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) |
(/.f64 (fma.f64 x (*.f64 x 1/64) (*.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x 1/8))))) (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))))) 1) |
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) |
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))) |
(*.f64 1 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)))) |
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) |
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))) |
(*.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) 1) |
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) |
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))) |
(*.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) -1/2) (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) -1/2)) |
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) |
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))) |
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) -2))) |
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) -2)) (cbrt.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))))) |
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) -2))) |
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)) -2))) |
(*.f64 -1 (/.f64 -1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)))) |
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) |
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))) |
(*.f64 (/.f64 -1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) -1) |
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) |
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (-.f64 (*.f64 -1/8 x) (+.f64 1/2 (/.f64 2 x)))) |
(/.f64 (-.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))) (-.f64 (*.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) |
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(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))) |
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)))) 3) |
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(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))) |
(pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) 3)) 1/3) |
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(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)) 3))) |
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(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) |
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))) |
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(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))) |
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(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) -1)) |
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) |
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)))) 1)) |
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) |
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))))) |
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) |
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 x))) (-.f64 1 (fma.f64 -1/8 x 1/2))) |
(+.f64 (fma.f64 x -1/8 1/2) (expm1.f64 (log1p.f64 (/.f64 2 x)))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)))) 1) |
(+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) |
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/8 x))) (-.f64 1 (+.f64 1/2 (/.f64 2 x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/8))) (-.f64 1/2 (/.f64 2 x))) |
(+.f64 (+.f64 1/2 (/.f64 2 x)) (expm1.f64 (log1p.f64 (*.f64 x -1/8)))) |
(+.f64 (/.f64 2 x) (-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/8))) 1/2)) |
(-.f64 (exp.f64 (log.f64 (+.f64 3/2 (/.f64 2 x)))) (-.f64 1 (*.f64 -1/8 x))) |
(+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) |
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(-.f64 (+.f64 (*.f64 -1/8 x) (exp.f64 (log.f64 (+.f64 3/2 (/.f64 2 x))))) 1) |
(+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) |
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(-.f64 (+.f64 (*.f64 -1/8 x) (/.f64 1/4 (-.f64 1/2 (/.f64 2 x)))) (/.f64 4 (*.f64 (-.f64 1/2 (/.f64 2 x)) (*.f64 x x)))) |
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(-.f64 (+.f64 (+.f64 1/2 (/.f64 2 x)) (exp.f64 (log1p.f64 (*.f64 -1/8 x)))) 1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/8))) (-.f64 1/2 (/.f64 2 x))) |
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(-.f64 (exp.f64 (log1p.f64 (/.f64 2 x))) (-.f64 1 (fma.f64 -1/8 x 1/2))) |
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(-.f64 (+.f64 (*.f64 (fma.f64 -1/8 x 1/2) 1) (exp.f64 (log1p.f64 (/.f64 2 x)))) 1) |
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(*.f64 -1 (-.f64 -1/2 (+.f64 (*.f64 -1/8 x) (/.f64 2 x)))) |
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(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (fma.f64 x (*.f64 x 1/64) (*.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x 1/8)))))) |
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) 2) 1) (cbrt.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)))) |
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(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) -2)))) (cbrt.f64 (cbrt.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)))))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) -2))))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)) -2))) (cbrt.f64 (cbrt.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) 2) (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) -1/2))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) -1/2))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) 2) (*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) -1/2)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) -1/2)))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))) 2) (*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)) -1/2)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)) -1/2)))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))))) (cbrt.f64 (cbrt.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))))))) (cbrt.f64 (cbrt.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)))))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) 2) (cbrt.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))) 2) (cbrt.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)) (sqrt.f64 (-.f64 (*.f64 -1/8 x) (+.f64 1/2 (/.f64 2 x))))) (sqrt.f64 (-.f64 (*.f64 -1/8 x) (+.f64 1/2 (/.f64 2 x))))) |
(-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) 1/64) (/.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2) (-.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)) (+.f64 (fma.f64 x -1/8 -1/2) (/.f64 -2 x))) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 -1/8 x) (+.f64 1/2 (/.f64 2 x)))) (cbrt.f64 (-.f64 (*.f64 -1/8 x) (+.f64 1/2 (/.f64 2 x)))))) (cbrt.f64 (-.f64 (*.f64 -1/8 x) (+.f64 1/2 (/.f64 2 x))))) |
(-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) 1/64) (/.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2) (-.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)) (+.f64 (fma.f64 x -1/8 -1/2) (/.f64 -2 x))) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) (sqrt.f64 (*.f64 -1/8 x)))) (-.f64 (sqrt.f64 (*.f64 -1/8 x)) (sqrt.f64 (+.f64 1/2 (/.f64 2 x))))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)) (*.f64 (-.f64 (sqrt.f64 (*.f64 x -1/8)) (sqrt.f64 (+.f64 1/2 (/.f64 2 x)))) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) (sqrt.f64 (*.f64 x -1/8))))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)) (*.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) (sqrt.f64 (*.f64 x -1/8))) (-.f64 (sqrt.f64 (*.f64 x -1/8)) (sqrt.f64 (+.f64 1/2 (/.f64 2 x)))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) 1) (+.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x))))) |
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (fma.f64 (*.f64 x x) 1/64 (*.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (-.f64 (/.f64 2 x) (*.f64 x -1/8)))))) |
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (fma.f64 x (*.f64 x 1/64) (*.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x 1/8)))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x)))))) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x)))))) |
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (fma.f64 (*.f64 x x) 1/64 (*.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (-.f64 (/.f64 2 x) (*.f64 x -1/8)))))) |
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (fma.f64 x (*.f64 x 1/64) (*.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x 1/8)))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x))))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x)))))) |
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (fma.f64 (*.f64 x x) 1/64 (*.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (-.f64 (/.f64 2 x) (*.f64 x -1/8)))))) |
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (fma.f64 x (*.f64 x 1/64) (*.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x 1/8)))))) |
(pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) 1) |
(+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) |
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)) |
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) 2) |
(+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) |
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) 3) |
(+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) |
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)) |
(pow.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) 3) 1/3) |
(+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) |
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) 2)) |
(fabs.f64 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))) |
(log.f64 (exp.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)))) |
(+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) |
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))))) |
(+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) |
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) 3)) |
(+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) |
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)))) |
(+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) |
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)) |
(exp.f64 (log.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)))) |
(+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) |
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)) |
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) 1)) |
(+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) |
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)))) |
(+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) |
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)) |
(fma.f64 1 (*.f64 -1/8 x) (+.f64 1/2 (/.f64 2 x))) |
(+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) |
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)) |
(fma.f64 1 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x)) |
(+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) |
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)) |
(fma.f64 -1/8 x (+.f64 1/2 (/.f64 2 x))) |
(+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) |
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)) |
(fma.f64 x -1/8 (+.f64 1/2 (/.f64 2 x))) |
(+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) |
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)) |
(fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) (*.f64 -1/8 x)) |
(+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) |
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)) |
(fma.f64 (sqrt.f64 (*.f64 -1/8 x)) (sqrt.f64 (*.f64 -1/8 x)) (+.f64 1/2 (/.f64 2 x))) |
(+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) |
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) (*.f64 -1/8 x)) |
(+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) |
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)) |
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/64)) (cbrt.f64 (*.f64 -1/8 x)) (+.f64 1/2 (/.f64 2 x))) |
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/64))) (cbrt.f64 (*.f64 x -1/8)) (+.f64 1/2 (/.f64 2 x))) |
Found 3 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 1 x)))) |
| ✓ | 99.8% | (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 1 x))) |
| ✓ | 99.6% | (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 1 x))))) |
Compiled 47 to 35 computations (25.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 1 x))))) |
| 0.0ms | x | @ | inf | (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 1 x))))) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 1 x))) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 1 x))) |
| 0.0ms | x | @ | -inf | (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 1 x)))) |
| 1× | batch-egg-rewrite |
| 1072× | *-commutative |
| 988× | associate-/r* |
| 646× | distribute-lft-in |
| 638× | associate-/l* |
| 630× | distribute-rgt-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 81 |
| 1 | 240 | 81 |
| 2 | 3271 | 63 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 1 x))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 1 x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (*.f64 (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x)))) (fma.f64 (neg.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x)) 1 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (*.f64 (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x)))) (fma.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 x))) (/.f64 1 x) (/.f64 (hypot.f64 1 (sqrt.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (*.f64 (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x)))) (fma.f64 (neg.f64 (/.f64 1 x)) (hypot.f64 1 (sqrt.f64 x)) (/.f64 (hypot.f64 1 (sqrt.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (*.f64 (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x))) (sqrt.f64 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(sqrt.f64 x)) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (neg.f64 x) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (neg.f64 x))) (neg.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (neg.f64 x) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (neg.f64 x))) x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 x) (/.f64 (hypot.f64 1 (sqrt.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) (hypot.f64 1 (sqrt.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (sqrt.f64 x)) (/.f64 1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 (hypot.f64 1 (sqrt.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x)) (sqrt.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 (hypot.f64 1 (sqrt.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (+.f64 1 x) (pow.f64 x -2))) (cbrt.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x)) (/.f64 1 x)))))) |
| 1× | egg-herbie |
| 858× | associate-/l* |
| 818× | associate-*r* |
| 784× | times-frac |
| 756× | associate-/r* |
| 704× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 679 | 14705 |
| 1 | 1930 | 13393 |
| 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 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3))))) |
(/.f64 1 x) |
(+.f64 1/2 (/.f64 1 x)) |
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (+.f64 (*.f64 1/16 (pow.f64 x 2)) (/.f64 1 x)))) |
(/.f64 2 x) |
(+.f64 1/2 (*.f64 2 (/.f64 1 x))) |
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) |
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (+.f64 (*.f64 1/16 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x))))) |
(+.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (*.f64 (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x)))) (fma.f64 (neg.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x)) 1 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x)))) |
(+.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (*.f64 (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x)))) (fma.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 x))) (/.f64 1 x) (/.f64 (hypot.f64 1 (sqrt.f64 x)) x)))) |
(+.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (*.f64 (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x)))) (fma.f64 (neg.f64 (/.f64 1 x)) (hypot.f64 1 (sqrt.f64 x)) (/.f64 (hypot.f64 1 (sqrt.f64 x)) x)))) |
(+.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (*.f64 (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x))) (sqrt.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x)) (/.f64 (hypot.f64 1 (sqrt.f64 x)) x)))) |
(+.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (*.f64 (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x))) (cbrt.f64 (*.f64 (+.f64 1 x) (pow.f64 x -2))) (/.f64 (hypot.f64 1 (sqrt.f64 x)) x)))) |
(+.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (*.f64 (fma.f64 (neg.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x)) 1 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x)) (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x)))))) |
(+.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (*.f64 (fma.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 x))) (/.f64 1 x) (/.f64 (hypot.f64 1 (sqrt.f64 x)) x)) (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x)))))) |
(+.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (*.f64 (fma.f64 (neg.f64 (/.f64 1 x)) (hypot.f64 1 (sqrt.f64 x)) (/.f64 (hypot.f64 1 (sqrt.f64 x)) x)) (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x)))))) |
(+.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x))) (sqrt.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x)) (/.f64 (hypot.f64 1 (sqrt.f64 x)) x)) (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x)))))) |
(+.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x))) (cbrt.f64 (*.f64 (+.f64 1 x) (pow.f64 x -2))) (/.f64 (hypot.f64 1 (sqrt.f64 x)) x)) (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x)))))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x)))) (/.f64 1 x)) (*.f64 (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x)))) (neg.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x)))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))) (pow.f64 x -2)) (*.f64 (/.f64 1 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))) (*.f64 (pow.f64 x -2) (-.f64 (+.f64 1 x) (hypot.f64 1 (sqrt.f64 x)))))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))) (*.f64 (pow.f64 x -2) (-.f64 (+.f64 1 x) (hypot.f64 1 (sqrt.f64 x))))) (*.f64 (/.f64 1 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))) (pow.f64 x -2))) |
(+.f64 (*.f64 (/.f64 1 x) (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x))))) (*.f64 (neg.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x)) (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x)))))) |
(+.f64 (*.f64 (pow.f64 x -2) (/.f64 1 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))))) (*.f64 (*.f64 (pow.f64 x -2) (-.f64 (+.f64 1 x) (hypot.f64 1 (sqrt.f64 x)))) (/.f64 1 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))))) |
(+.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 (+.f64 1 x) (hypot.f64 1 (sqrt.f64 x)))) (/.f64 1 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))))) (*.f64 (pow.f64 x -2) (/.f64 1 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) 1) |
(*.f64 1 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) |
(*.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 1) |
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) |
(*.f64 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x))))) |
(*.f64 (-.f64 (*.f64 (pow.f64 x -2) (+.f64 2 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 x -2))) (/.f64 1 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))))) |
(*.f64 -1 (/.f64 -1 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) |
(*.f64 (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x)))) (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) |
(*.f64 (/.f64 1 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))) (-.f64 (*.f64 (pow.f64 x -2) (+.f64 2 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 x -2)))) |
(*.f64 (/.f64 -1 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) -1) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) -1) (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) 2) -1)) |
(*.f64 (/.f64 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) (-.f64 (*.f64 (pow.f64 x -2) (pow.f64 x -2)) (*.f64 (*.f64 (+.f64 1 x) (pow.f64 x -2)) (*.f64 (+.f64 1 x) (pow.f64 x -2))))) (*.f64 (pow.f64 x -2) (+.f64 2 x))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) (-.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (*.f64 (+.f64 1 x) (pow.f64 x -2)) 3))) (+.f64 (*.f64 (pow.f64 x -2) (pow.f64 x -2)) (*.f64 (*.f64 (+.f64 1 x) (pow.f64 x -2)) (*.f64 (pow.f64 x -2) (+.f64 2 x))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x -2) (+.f64 2 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 x -2))) (-.f64 (*.f64 (pow.f64 x -3) (pow.f64 x -3)) (*.f64 (pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x) 3) (pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x) 3)))) (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (+.f64 1 x) 3/2)))) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x -2) (+.f64 2 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 x -2))) (+.f64 (pow.f64 (pow.f64 x -3) 3) (pow.f64 (pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x) 3) 3))) (+.f64 (*.f64 (pow.f64 x -3) (pow.f64 x -3)) (*.f64 (pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x) 3) (-.f64 (pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x) 3) (pow.f64 x -3))))) |
(*.f64 (/.f64 1 (neg.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x))))) (neg.f64 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))) |
(*.f64 (/.f64 1 (neg.f64 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))))) (neg.f64 (-.f64 (*.f64 (pow.f64 x -2) (+.f64 2 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 x -2))))) |
(*.f64 (/.f64 1 (*.f64 (pow.f64 x -2) x)) (-.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x) (/.f64 1 x))) |
(*.f64 (/.f64 1 (+.f64 x (*.f64 x (hypot.f64 1 (sqrt.f64 x))))) (*.f64 x x)) |
(*.f64 (/.f64 1 (+.f64 (neg.f64 x) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (neg.f64 x)))) (*.f64 x (neg.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (sqrt.f64 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 x -2) (+.f64 2 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 x -2))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (sqrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x))))) (sqrt.f64 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))) |
(*.f64 (/.f64 -1 (neg.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x))))) (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) |
(*.f64 (/.f64 -1 (neg.f64 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))))) (-.f64 (*.f64 (pow.f64 x -2) (+.f64 2 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 x -2)))) |
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(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x)) 3) |
(pow.f64 (pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x) 3) 1/3) |
(sqrt.f64 (*.f64 (+.f64 1 x) (pow.f64 x -2))) |
(log.f64 (exp.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x)))) |
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x) 3)) |
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(exp.f64 (-.f64 (*.f64 (log1p.f64 x) 1/2) (log.f64 x))) |
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x))) (-.f64 1 (/.f64 1 x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))) 1) |
(-.f64 (*.f64 (/.f64 (pow.f64 x -2) (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))) x) (*.f64 (/.f64 (*.f64 (+.f64 1 x) (pow.f64 x -2)) (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))) x)) |
(-.f64 (+.f64 (/.f64 1 x) (exp.f64 (log1p.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x)))) 1) |
(-.f64 (+.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x) (exp.f64 (log1p.f64 (/.f64 1 x)))) 1) |
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(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x))) (-.f64 x (*.f64 x (hypot.f64 1 (sqrt.f64 x))))) (*.f64 x x)) |
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(*.f64 (/.f64 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 (+.f64 1 x) (hypot.f64 1 (sqrt.f64 x)))) 3))) (+.f64 (*.f64 (pow.f64 x -2) (pow.f64 x -2)) (*.f64 (*.f64 (pow.f64 x -2) (-.f64 (+.f64 1 x) (hypot.f64 1 (sqrt.f64 x)))) (-.f64 (*.f64 (pow.f64 x -2) (-.f64 (+.f64 1 x) (hypot.f64 1 (sqrt.f64 x)))) (pow.f64 x -2))))) |
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(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) 2))) (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))) |
(/.f64 1 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) |
(/.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) |
(/.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) 1) |
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(/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x))) (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) |
(/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x))) (/.f64 1 (/.f64 x (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) |
(/.f64 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 (*.f64 (pow.f64 x -2) (+.f64 2 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 x -2)))) |
(/.f64 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (/.f64 1 (/.f64 1 (-.f64 (*.f64 (pow.f64 x -2) (+.f64 2 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 x -2)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x -2) (+.f64 2 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 x -2))) (/.f64 (-.f64 (*.f64 (pow.f64 x -2) (+.f64 2 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 x -2))) (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))) |
(/.f64 -1 (/.f64 -1 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))) |
(/.f64 (neg.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) -1) |
(/.f64 (sqrt.f64 (neg.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))) (/.f64 -1 (sqrt.f64 (neg.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))))) |
(/.f64 (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))) (/.f64 (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))))) |
(/.f64 (sqrt.f64 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))) (/.f64 (-.f64 (*.f64 (pow.f64 x -2) (+.f64 2 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 x -2))) (sqrt.f64 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))))) |
(/.f64 (sqrt.f64 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))) (*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 x -2) (+.f64 2 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 x -2)))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) 2)) (/.f64 (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) 2)) (/.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) 2)))) |
(/.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x)))) (/.f64 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) (sqrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x)))))) |
(/.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x)))) (*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (sqrt.f64 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)))) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))) (cbrt.f64 (neg.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)))) (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))) (cbrt.f64 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))))) (/.f64 (-.f64 (*.f64 (pow.f64 x -2) (+.f64 2 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 x -2))) (cbrt.f64 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) 2))) (/.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) 2)))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x)))) (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x))))) (/.f64 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x)))))) |
(/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) |
(/.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))) (/.f64 -1 (sqrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)))) |
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) 2)) (/.f64 -1 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x)))) (neg.f64 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x)))) (*.f64 1 (neg.f64 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))) (neg.f64 (-.f64 (*.f64 (pow.f64 x -2) (+.f64 2 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 x -2))))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))) (*.f64 1 (neg.f64 (-.f64 (*.f64 (pow.f64 x -2) (+.f64 2 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 x -2)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x -3) (pow.f64 x -3)) (*.f64 (pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x) 3) (pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x) 3))) (*.f64 (-.f64 (*.f64 (pow.f64 x -2) (+.f64 2 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 x -2))) (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (+.f64 1 x) 3/2))))) |
(/.f64 (*.f64 (pow.f64 x -2) x) (-.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x) (/.f64 1 x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x -2) (pow.f64 x -2)) (*.f64 (*.f64 (+.f64 1 x) (pow.f64 x -2)) (*.f64 (+.f64 1 x) (pow.f64 x -2)))) (*.f64 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) (*.f64 (pow.f64 x -2) (+.f64 2 x)))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 x -3) 3) (pow.f64 (pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x) 3) 3)) (*.f64 (-.f64 (*.f64 (pow.f64 x -2) (+.f64 2 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 x -2))) (+.f64 (*.f64 (pow.f64 x -3) (pow.f64 x -3)) (*.f64 (pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x) 3) (-.f64 (pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x) 3) (pow.f64 x -3)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (*.f64 (+.f64 1 x) (pow.f64 x -2)) 3)) (*.f64 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) (+.f64 (*.f64 (pow.f64 x -2) (pow.f64 x -2)) (*.f64 (*.f64 (+.f64 1 x) (pow.f64 x -2)) (*.f64 (pow.f64 x -2) (+.f64 2 x)))))) |
(/.f64 (+.f64 x (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) (*.f64 x x)) |
(/.f64 (+.f64 (neg.f64 x) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (neg.f64 x))) (*.f64 x (neg.f64 x))) |
(/.f64 (+.f64 (neg.f64 x) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (neg.f64 x))) (*.f64 1 (*.f64 x (neg.f64 x)))) |
(/.f64 (/.f64 1 (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) |
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) 2)) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) |
(/.f64 (/.f64 1 (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x))))) (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) |
(/.f64 (/.f64 1 (/.f64 1 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))))) (-.f64 (*.f64 (pow.f64 x -2) (+.f64 2 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 x -2)))) |
(/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) -1)) (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) -1)) |
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) 2) -1)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) -1)) |
(/.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) 1) (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) |
(/.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))) |
(/.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) 2))) (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))) |
(/.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) (sqrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))) (sqrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) 2) 1) (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) 2) (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))) (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) 2))) (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))))) (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) 2) (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))) (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))) |
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x))) 1) (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) |
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x))) (/.f64 1 x)) (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x))) (sqrt.f64 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))) (sqrt.f64 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))) |
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x))) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) (cbrt.f64 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)))) (cbrt.f64 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))) |
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x))) (*.f64 (pow.f64 x -1/2) (+.f64 1 (pow.f64 (+.f64 1 x) 1/4)))) (*.f64 (pow.f64 x -1/2) (-.f64 1 (pow.f64 (+.f64 1 x) 1/4)))) |
(/.f64 (/.f64 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) 1) (-.f64 (*.f64 (pow.f64 x -2) (+.f64 2 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 x -2)))) |
(/.f64 (/.f64 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 x -2) (+.f64 2 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 x -2))))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 x -2) (+.f64 2 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 x -2))))) |
(/.f64 (/.f64 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 x -2) (+.f64 2 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 x -2)))) (cbrt.f64 (-.f64 (*.f64 (pow.f64 x -2) (+.f64 2 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 x -2)))))) (cbrt.f64 (-.f64 (*.f64 (pow.f64 x -2) (+.f64 2 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 x -2))))) |
(/.f64 (/.f64 (+.f64 x (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) 1) (*.f64 x x)) |
(/.f64 (/.f64 (+.f64 x (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) x) x) |
(/.f64 (/.f64 (+.f64 x (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))) |
(/.f64 (/.f64 (+.f64 x (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) |
(/.f64 (/.f64 (+.f64 x (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (+.f64 x (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (+.f64 x (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (/.f64 (+.f64 (neg.f64 x) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (neg.f64 x))) (neg.f64 x)) x) |
(/.f64 (/.f64 (+.f64 (neg.f64 x) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (neg.f64 x))) x) (neg.f64 x)) |
(pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) 1) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) 3) |
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) 3) 1/3) |
(neg.f64 (neg.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))) |
(exp.f64 (log.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))) |
(fma.f64 1 (/.f64 1 x) (/.f64 (hypot.f64 1 (sqrt.f64 x)) x)) |
(fma.f64 1 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x) (/.f64 1 x)) |
(fma.f64 (/.f64 1 x) (hypot.f64 1 (sqrt.f64 x)) (/.f64 1 x)) |
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) (/.f64 1 x) (/.f64 1 x)) |
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 (hypot.f64 1 (sqrt.f64 x)) x)) |
(fma.f64 (sqrt.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x)) (sqrt.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x)) (/.f64 1 x)) |
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 (hypot.f64 1 (sqrt.f64 x)) x)) |
(fma.f64 (cbrt.f64 (*.f64 (+.f64 1 x) (pow.f64 x -2))) (cbrt.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x)) (/.f64 1 x)) |
| 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 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -5/128 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 3))))) |
(/.f64 1 x) |
(+.f64 1/2 (/.f64 1 x)) |
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (/.f64 1 x))) |
(fma.f64 -1/8 x (+.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (+.f64 (*.f64 1/16 (pow.f64 x 2)) (/.f64 1 x)))) |
(fma.f64 -1/8 x (+.f64 1/2 (fma.f64 1/16 (*.f64 x x) (/.f64 1 x)))) |
(/.f64 2 x) |
(+.f64 1/2 (*.f64 2 (/.f64 1 x))) |
(+.f64 1/2 (/.f64 2 x)) |
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) |
(fma.f64 -1/8 x (+.f64 1/2 (/.f64 2 x))) |
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (+.f64 (*.f64 1/16 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x))))) |
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(*.f64 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) (*.f64 (-.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (*.f64 (pow.f64 x -2) (+.f64 x 1)) 3)) x)) (+.f64 (pow.f64 x -4) (*.f64 (*.f64 (pow.f64 x -2) (+.f64 x 1)) (*.f64 (pow.f64 x -2) (+.f64 x 2))))) |
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(/.f64 (*.f64 (pow.f64 x -2) (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))) (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
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(*.f64 (/.f64 (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (sqrt.f64 (*.f64 (pow.f64 x -2) (neg.f64 x)))) (sqrt.f64 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (sqrt.f64 (neg.f64 (pow.f64 x -1)))) (sqrt.f64 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))) |
(*.f64 (/.f64 -1 (neg.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x))))) (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) |
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(/.f64 (*.f64 (pow.f64 x -2) (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))) (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
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(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) 2)) (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x))))) (cbrt.f64 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))) |
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) 2)) (cbrt.f64 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))) (cbrt.f64 (*.f64 (pow.f64 x -2) (neg.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (neg.f64 (pow.f64 x -1)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) 2)) (cbrt.f64 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))) |
(pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) -1) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(pow.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 1) |
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(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) 2) |
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(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 3) 1/3) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) -2)) |
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x))) 1) |
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(/.f64 (hypot.f64 1 (sqrt.f64 x)) x) |
(/.f64 (hypot.f64 1 (sqrt.f64 x)) x) |
(/.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x) 1) |
(/.f64 (hypot.f64 1 (sqrt.f64 x)) x) |
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(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) 1)) (*.f64 x (cbrt.f64 (+.f64 1 (*.f64 x (+.f64 x -1)))))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x)))) |
(/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (/.f64 x (cbrt.f64 (hypot.f64 1 (sqrt.f64 x)))) (cbrt.f64 (-.f64 1 x)))) |
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(/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) |
(/.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) 1) (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) |
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))) (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) |
(/.f64 (sqrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) |
(/.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))) |
(/.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) 2))) (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))) |
(/.f64 (sqrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) 2)))) |
(/.f64 (sqrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))))) |
(/.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) (sqrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))) (sqrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))) |
(/.f64 (sqrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) 2) 1) (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) 2) (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) 2) (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))) (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) 2) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) 2))) (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) 2)))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) 2) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))))) (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) 2) (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))) (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))))) |
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x))) 1) (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) |
(*.f64 x (/.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) (neg.f64 x)))) |
(*.f64 x (/.f64 (neg.f64 (pow.f64 x -1)) (-.f64 1 (hypot.f64 1 (sqrt.f64 x))))) |
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x))) (/.f64 1 x)) (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 x (/.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) (neg.f64 x)))) |
(*.f64 x (/.f64 (neg.f64 (pow.f64 x -1)) (-.f64 1 (hypot.f64 1 (sqrt.f64 x))))) |
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x))) (sqrt.f64 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))) (sqrt.f64 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))) |
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (neg.f64 x)) (sqrt.f64 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))) (sqrt.f64 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))) |
(/.f64 (neg.f64 (pow.f64 x -1)) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) (sqrt.f64 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)))) |
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x))) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) (cbrt.f64 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)))) (cbrt.f64 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))) |
(/.f64 (*.f64 (pow.f64 x -2) (neg.f64 x)) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) (cbrt.f64 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))))) |
(/.f64 (neg.f64 (pow.f64 x -1)) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) (cbrt.f64 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))))) |
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 1 x))) (*.f64 (pow.f64 x -1/2) (+.f64 1 (pow.f64 (+.f64 1 x) 1/4)))) (*.f64 (pow.f64 x -1/2) (-.f64 1 (pow.f64 (+.f64 1 x) 1/4)))) |
(/.f64 (*.f64 (pow.f64 x -2) (neg.f64 x)) (*.f64 (*.f64 (pow.f64 x -1/2) (-.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (*.f64 (pow.f64 x -1/2) (+.f64 1 (pow.f64 (+.f64 x 1) 1/4))))) |
(/.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 x -1)) (pow.f64 x -1/2)) (+.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (*.f64 (pow.f64 x -1/2) (-.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(/.f64 (/.f64 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) 1) (-.f64 (*.f64 (pow.f64 x -2) (+.f64 2 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 x -2)))) |
(/.f64 (pow.f64 x -3) (/.f64 (-.f64 (*.f64 (pow.f64 x -2) (+.f64 x 2)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 x -2))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 (pow.f64 x -3) (*.f64 (pow.f64 x -2) (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))) |
(/.f64 (/.f64 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 x -2) (+.f64 2 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 x -2))))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 x -2) (+.f64 2 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 x -2))))) |
(/.f64 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (*.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 x -2) (+.f64 x 2)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 x -2)))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 x -2) (+.f64 x 2)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 x -2)))))) |
(*.f64 (/.f64 (pow.f64 x -3) (sqrt.f64 (*.f64 (pow.f64 x -2) (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))) (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 (*.f64 (pow.f64 x -2) (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))))) |
(/.f64 (/.f64 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 x -2) (+.f64 2 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 x -2)))) (cbrt.f64 (-.f64 (*.f64 (pow.f64 x -2) (+.f64 2 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 x -2)))))) (cbrt.f64 (-.f64 (*.f64 (pow.f64 x -2) (+.f64 2 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 x -2))))) |
(/.f64 (*.f64 (/.f64 (pow.f64 x -3) (cbrt.f64 (-.f64 (*.f64 (pow.f64 x -2) (+.f64 x 2)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 x -2))))) (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (cbrt.f64 (-.f64 (*.f64 (pow.f64 x -2) (+.f64 x 2)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 x -2)))))) (cbrt.f64 (-.f64 (*.f64 (pow.f64 x -2) (+.f64 x 2)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 x -2))))) |
(*.f64 (/.f64 (pow.f64 x -3) (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))) (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))) (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))))) |
(/.f64 (/.f64 (+.f64 x (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) 1) (*.f64 x x)) |
(/.f64 (+.f64 x (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) (*.f64 x x)) |
(/.f64 (/.f64 (+.f64 x (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) x) x) |
(/.f64 (+.f64 x (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) (*.f64 x x)) |
(/.f64 (/.f64 (+.f64 x (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))) |
(/.f64 (+.f64 x (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (+.f64 x (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) (*.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 x)))) |
(/.f64 (/.f64 (+.f64 x (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) |
(/.f64 (+.f64 x (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) (*.f64 (*.f64 x (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (+.f64 x (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) (*.f64 x (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (/.f64 (+.f64 x (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (+.f64 x (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 4))) |
(/.f64 (/.f64 (+.f64 x (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (+.f64 x (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (+.f64 x (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) (*.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 x)))) |
(/.f64 (/.f64 (+.f64 x (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (+.f64 x (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) (*.f64 (*.f64 x (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (+.f64 x (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) (*.f64 x (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (/.f64 (+.f64 (neg.f64 x) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (neg.f64 x))) (neg.f64 x)) x) |
(+.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x) (/.f64 1 x)) |
(/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) |
(/.f64 (/.f64 (+.f64 (neg.f64 x) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (neg.f64 x))) x) (neg.f64 x)) |
(+.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x) (/.f64 1 x)) |
(/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) |
(pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) 1) |
(+.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x) (/.f64 1 x)) |
(/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) 2) |
(+.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x) (/.f64 1 x)) |
(/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)) 3) |
(+.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x) (/.f64 1 x)) |
(/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) |
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) 3) 1/3) |
(+.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x) (/.f64 1 x)) |
(/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) |
(neg.f64 (neg.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))) |
(+.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x) (/.f64 1 x)) |
(/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))) |
(+.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x) (/.f64 1 x)) |
(/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x)))) |
(+.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x) (/.f64 1 x)) |
(/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) 3)) |
(+.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x) (/.f64 1 x)) |
(/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))) |
(+.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x) (/.f64 1 x)) |
(/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) |
(exp.f64 (log.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))) |
(+.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x) (/.f64 1 x)) |
(/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x))) |
(+.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x) (/.f64 1 x)) |
(/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) |
(fma.f64 1 (/.f64 1 x) (/.f64 (hypot.f64 1 (sqrt.f64 x)) x)) |
(+.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x) (/.f64 1 x)) |
(/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) |
(fma.f64 1 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x) (/.f64 1 x)) |
(+.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x) (/.f64 1 x)) |
(/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) |
(fma.f64 (/.f64 1 x) (hypot.f64 1 (sqrt.f64 x)) (/.f64 1 x)) |
(+.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x) (/.f64 1 x)) |
(/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) |
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) (/.f64 1 x) (/.f64 1 x)) |
(+.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x) (/.f64 1 x)) |
(/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) |
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 (hypot.f64 1 (sqrt.f64 x)) x)) |
(+.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x) (pow.f64 x -1)) |
(fma.f64 (sqrt.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x)) (sqrt.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x)) (/.f64 1 x)) |
(+.f64 (pow.f64 (sqrt.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x)) 2) (/.f64 1 x)) |
(+.f64 (/.f64 1 x) (pow.f64 (sqrt.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x)) 2)) |
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 (hypot.f64 1 (sqrt.f64 x)) x)) |
(fma.f64 (cbrt.f64 (*.f64 (+.f64 1 x) (pow.f64 x -2))) (cbrt.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x)) (/.f64 1 x)) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (+.f64 x 1))) (cbrt.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x)) (/.f64 1 x)) |
(fma.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (pow.f64 x -1))) (cbrt.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) x)) (/.f64 1 x)) |
Found 1 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 99.7% | (/.f64 1 (/.f64 2 x)) |
Compiled 12 to 9 computations (25% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 1 (/.f64 2 x)) |
| 0.0ms | x | @ | -inf | (/.f64 1 (/.f64 2 x)) |
| 0.0ms | x | @ | 0 | (/.f64 1 (/.f64 2 x)) |
| 1× | batch-egg-rewrite |
| 1308× | add-sqr-sqrt |
| 1282× | *-un-lft-identity |
| 1204× | add-cube-cbrt |
| 1194× | add-cbrt-cube |
| 1180× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 7 |
| 1 | 149 | 7 |
| 2 | 1724 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 2 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (pow.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 2 x)) -1) (pow.f64 (sqrt.f64 (/.f64 2 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 x x))) -1) (pow.f64 (cbrt.f64 (/.f64 2 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/2))))))) |
| 1× | egg-herbie |
| 1388× | associate-*r* |
| 1334× | associate-/l* |
| 1294× | associate-*r/ |
| 1160× | associate-*l* |
| 928× | associate-*l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 314 |
| 1 | 155 | 314 |
| 2 | 576 | 308 |
| 3 | 3759 | 308 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(-.f64 (+.f64 1 (*.f64 x 1/2)) 1) |
(*.f64 1 (*.f64 x 1/2)) |
(*.f64 x 1/2) |
(*.f64 (*.f64 x 1/2) 1) |
(*.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2))) |
(*.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2))) |
(*.f64 1/2 x) |
(*.f64 1/2 (pow.f64 (/.f64 1 x) -1)) |
(*.f64 -1 (/.f64 1 (/.f64 -2 x))) |
(*.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 -1/2 (neg.f64 x)) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 2 x)) -1) (pow.f64 (sqrt.f64 (/.f64 2 x)) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 x x))) -1) (pow.f64 (cbrt.f64 (/.f64 2 x)) -1)) |
(pow.f64 (/.f64 2 x) -1) |
(pow.f64 (*.f64 x 1/2) 1) |
(pow.f64 (sqrt.f64 (*.f64 x 1/2)) 2) |
(pow.f64 (cbrt.f64 (*.f64 x 1/2)) 3) |
(pow.f64 (pow.f64 (*.f64 x 1/2) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x 1/2) 2)) |
(log.f64 (exp.f64 (*.f64 x 1/2))) |
(cbrt.f64 (pow.f64 (*.f64 x 1/2) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x 1/2))) |
(exp.f64 (log.f64 (*.f64 x 1/2))) |
(log1p.f64 (expm1.f64 (*.f64 x 1/2))) |
| Outputs |
|---|
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(-.f64 (+.f64 1 (*.f64 x 1/2)) 1) |
(*.f64 1/2 x) |
(*.f64 1 (*.f64 x 1/2)) |
(*.f64 1/2 x) |
(*.f64 x 1/2) |
(*.f64 1/2 x) |
(*.f64 (*.f64 x 1/2) 1) |
(*.f64 1/2 x) |
(*.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2))) |
(*.f64 1/2 x) |
(*.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)) |
(*.f64 1/2 x) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2))) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 (pow.f64 (/.f64 1 x) -1)) |
(*.f64 1/2 x) |
(*.f64 -1 (/.f64 1 (/.f64 -2 x))) |
(*.f64 1/2 x) |
(*.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 1/2 x) |
(*.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 1/2 x) |
(*.f64 -1/2 (neg.f64 x)) |
(*.f64 1/2 x) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 2 x)) -1) (pow.f64 (sqrt.f64 (/.f64 2 x)) -1)) |
(pow.f64 (sqrt.f64 (/.f64 2 x)) -2) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 x x))) -1) (pow.f64 (cbrt.f64 (/.f64 2 x)) -1)) |
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 4 (*.f64 x x)))) (/.f64 1 (cbrt.f64 (/.f64 2 x)))) |
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 4 (*.f64 x x)))) (cbrt.f64 (/.f64 2 x))) |
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 2 x))) (cbrt.f64 (/.f64 4 (*.f64 x x)))) |
(pow.f64 (/.f64 2 x) -1) |
(*.f64 1/2 x) |
(pow.f64 (*.f64 x 1/2) 1) |
(*.f64 1/2 x) |
(pow.f64 (sqrt.f64 (*.f64 x 1/2)) 2) |
(*.f64 1/2 x) |
(pow.f64 (cbrt.f64 (*.f64 x 1/2)) 3) |
(*.f64 1/2 x) |
(pow.f64 (pow.f64 (*.f64 x 1/2) 3) 1/3) |
(*.f64 1/2 x) |
(sqrt.f64 (pow.f64 (*.f64 x 1/2) 2)) |
(*.f64 1/2 x) |
(log.f64 (exp.f64 (*.f64 x 1/2))) |
(*.f64 1/2 x) |
(cbrt.f64 (pow.f64 (*.f64 x 1/2) 3)) |
(*.f64 1/2 x) |
(expm1.f64 (log1p.f64 (*.f64 x 1/2))) |
(*.f64 1/2 x) |
(exp.f64 (log.f64 (*.f64 x 1/2))) |
(*.f64 1/2 x) |
(log1p.f64 (expm1.f64 (*.f64 x 1/2))) |
(*.f64 1/2 x) |
Compiled 23118 to 17583 computations (23.9% saved)
12 alts after pruning (2 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 871 | 1 | 872 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 9 | 9 |
| Total | 871 | 12 | 883 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 68.3% | (/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
| ✓ | 99.7% | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| ✓ | 67.3% | (/.f64 x 2) |
| ✓ | 99.5% | (/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)) |
| ✓ | 67.1% | (/.f64 1 (/.f64 2 x)) |
| 33.6% | (/.f64 1 (-.f64 (/.f64 1/4 (-.f64 1/2 (/.f64 2 x))) (-.f64 (/.f64 4 (*.f64 (-.f64 1/2 (/.f64 2 x)) (*.f64 x x))) (*.f64 -1/8 x)))) | |
| ✓ | 99.4% | (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 1 x))))) |
| ✓ | 66.9% | (/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) |
| ✓ | 68.1% | (/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
| ✓ | 39.5% | (+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
| ✓ | 66.9% | (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
| 4.7% | 2 |
Compiled 122 to 99 computations (18.9% saved)
| Inputs |
|---|
2 |
(/.f64 x 2) |
(/.f64 1 (/.f64 2 x)) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
(+.f64 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x))) |
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
(/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) |
(/.f64 1 (-.f64 (/.f64 1/4 (-.f64 1/2 (/.f64 2 x))) (-.f64 (/.f64 4 (*.f64 (-.f64 1/2 (/.f64 2 x)) (*.f64 x x))) (*.f64 -1/8 x)))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(fma.f64 1/2 x (*.f64 x (*.f64 x -1/8))) |
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)) |
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 1 x))))) |
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1) |
(exp.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 x)) |
| Outputs |
|---|
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
2 calls:
| 12.0ms | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
Compiled 178 to 135 computations (24.2% saved)
| Inputs |
|---|
2 |
(/.f64 x 2) |
(/.f64 1 (/.f64 2 x)) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
(+.f64 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x))) |
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
(/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) |
(/.f64 1 (-.f64 (/.f64 1/4 (-.f64 1/2 (/.f64 2 x))) (-.f64 (/.f64 4 (*.f64 (-.f64 1/2 (/.f64 2 x)) (*.f64 x x))) (*.f64 -1/8 x)))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
| Outputs |
|---|
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
1 calls:
| 14.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 2 | x |
Compiled 97 to 74 computations (23.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 1.605446484273611e-6 | 0.27752156107196674 |
| 14.0ms | 144× | body | 256 | valid |
Compiled 202 to 163 computations (19.3% saved)
| Inputs |
|---|
2 |
(/.f64 x 2) |
(/.f64 1 (/.f64 2 x)) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
(+.f64 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x))) |
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
(/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) |
(/.f64 1 (-.f64 (/.f64 1/4 (-.f64 1/2 (/.f64 2 x))) (-.f64 (/.f64 4 (*.f64 (-.f64 1/2 (/.f64 2 x)) (*.f64 x x))) (*.f64 -1/8 x)))) |
| Outputs |
|---|
(/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.3% | 1 | x |
Compiled 91 to 69 computations (24.2% saved)
| Inputs |
|---|
2 |
(/.f64 x 2) |
(/.f64 1 (/.f64 2 x)) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
| Outputs |
|---|
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.1% | 1 | x |
Compiled 26 to 20 computations (23.1% saved)
Total -41.4b remaining (-198%)
Threshold costs -41.4b (-198%)
| Inputs |
|---|
2 |
(/.f64 x 2) |
(/.f64 1 (/.f64 2 x)) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
| Outputs |
|---|
(/.f64 x 2) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.3% | 1 | x |
Compiled 19 to 14 computations (26.3% saved)
| 1× | egg-herbie |
| 14× | +-commutative |
| 8× | *-commutative |
| 2× | 1-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 126 |
| 1 | 46 | 126 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(if (<=.f64 x 6124319032471571/36893488147419103232) (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(/.f64 x 2) |
2 |
| Outputs |
|---|
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(if (<=.f64 x 6124319032471571/36893488147419103232) (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
(/.f64 x (+.f64 (*.f64 x 1/2) 2)) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(/.f64 x 2) |
2 |
Compiled 53 to 42 computations (20.8% saved)
Compiled 48 to 37 computations (22.9% saved)
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