Time bar (total: 6.5s)
| 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)
| 1.1s | 8252× | body | 256 | valid |
| 2.0ms | 4× | body | 2048 | valid |
| 0.0ms | 1× | body | 256 | invalid |
| 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 | Error | Program |
|---|---|---|
| ▶ | 0.2b | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
Compiled 9 to 7 computations (22.2% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (+.f64 x 1)) |
| ✓ | 0.0b | (+.f64 1 (sqrt.f64 (+.f64 x 1))) |
| ✓ | 0.2b | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
Compiled 24 to 18 computations (25% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| 1.0ms | x | @ | -inf | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| 0.0ms | x | @ | inf | (+.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))) |
| 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 | 51 |
| 1 | 194 | 51 |
| 2 | 2690 | 51 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(sqrt.f64 (+.f64 x 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (neg.f64 x)) 1) (*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (neg.f64 x)) 1) (*.f64 (/.f64 x (neg.f64 x)) (*.f64 (sqrt.f64 (+.f64 x 1)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 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(+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))))) |
((#(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× | egg-herbie |
| 812× | associate-+l+ |
| 784× | associate-+r+ |
| 644× | associate-/l* |
| 614× | distribute-lft-neg-in |
| 610× | +-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 461 | 7516 |
| 1 | 1234 | 6766 |
| 2 | 5169 | 6716 |
| 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))))) |
1 |
(+.f64 (*.f64 1/2 x) 1) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.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) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) 1)) |
(+.f64 (sqrt.f64 (+.f64 x 1)) 0) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1) |
(-.f64 (exp.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))))) 2) |
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)) |
(*.f64 1 (sqrt.f64 (+.f64 x 1))) |
(*.f64 (sqrt.f64 (+.f64 x 1)) 1) |
(*.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 1 1/2)) |
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4)) |
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1))) |
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1)))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2)) |
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1))) |
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (*.f64 1 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x -1))) |
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 x -1))) |
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x -1))) |
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) 1) (sqrt.f64 (+.f64 x -1))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) 1) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (+.f64 x -1))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(pow.f64 (+.f64 x 1) 1/2) |
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1) |
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2) |
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3) |
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3) |
(fabs.f64 (sqrt.f64 (+.f64 x 1))) |
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1))))) |
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) |
(hypot.f64 1 (sqrt.f64 x)) |
(exp.f64 (*.f64 (log1p.f64 x) 1/2)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 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)) |
(fma.f64 1/2 x (*.f64 x (*.f64 x -1/8))) |
(*.f64 x (+.f64 1/2 (*.f64 -1/8 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))) |
1 |
(+.f64 (*.f64 1/2 x) 1) |
(fma.f64 1/2 x 1) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1)) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 1)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 1) (*.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) 1))) |
(+.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 (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 (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 -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 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))) 1)) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1))))) |
(*.f64 x (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 -2 x)) (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) |
(+.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 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))) 1)) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1))))) |
(*.f64 x (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 -2 x)) (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) |
(-.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 (*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (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 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))) 1)) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1))))) |
(*.f64 x (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 -2 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 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 (*.f64 x (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) (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 (*.f64 x (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) (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 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))) 1)) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1))))) |
(*.f64 x (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 -2 x)) (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) |
(*.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 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))) 1)) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1))))) |
(*.f64 x (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 -2 x)) (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) |
(*.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)))) |
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(sqrt.f64 (+.f64 x 1)) |
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)) |
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(+.f64 (-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1))))) -1) |
(+.f64 -1 (*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (/.f64 (+.f64 x 1) 1)))) |
(*.f64 1 (sqrt.f64 (+.f64 x 1))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(sqrt.f64 (+.f64 x 1)) |
(*.f64 (sqrt.f64 (+.f64 x 1)) 1) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(sqrt.f64 (+.f64 x 1)) |
(*.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 1 1/2)) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(sqrt.f64 (+.f64 x 1)) |
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4)) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(sqrt.f64 (+.f64 x 1)) |
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1))) |
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1))) |
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1)))) |
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1)))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1)))) |
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1)))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(sqrt.f64 (+.f64 x 1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1)))) |
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1)))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1)))) |
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1)))) |
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1))) |
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (*.f64 1 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x -1))) |
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1))) |
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 x -1))) |
(/.f64 (cbrt.f64 (fma.f64 x x -1)) (/.f64 (cbrt.f64 (+.f64 x -1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (fma.f64 x x -1))) |
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) 1)) (/.f64 (cbrt.f64 (fma.f64 x x (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 (+.f64 (pow.f64 x 3) 1))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) 1)) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x -1))) |
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1))) |
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) 1) (sqrt.f64 (+.f64 x -1))) |
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) 1) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (+.f64 x -1))) |
(/.f64 (cbrt.f64 (fma.f64 x x -1)) (/.f64 (cbrt.f64 (+.f64 x -1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (fma.f64 x x -1))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) 1)) (/.f64 (cbrt.f64 (fma.f64 x x (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 (+.f64 (pow.f64 x 3) 1))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) 1)) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) |
(pow.f64 (+.f64 x 1) 1/2) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(sqrt.f64 (+.f64 x 1)) |
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(sqrt.f64 (+.f64 x 1)) |
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(sqrt.f64 (+.f64 x 1)) |
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(sqrt.f64 (+.f64 x 1)) |
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3) |
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) |
(fabs.f64 (sqrt.f64 (+.f64 x 1))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(sqrt.f64 (+.f64 x 1)) |
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(sqrt.f64 (+.f64 x 1)) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1))))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(sqrt.f64 (+.f64 x 1)) |
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(sqrt.f64 (+.f64 x 1)) |
(hypot.f64 1 (sqrt.f64 x)) |
(exp.f64 (*.f64 (log1p.f64 x) 1/2)) |
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2) |
(sqrt.f64 (exp.f64 (log1p.f64 x))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1)))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(sqrt.f64 (+.f64 x 1)) |
Compiled 5348 to 4099 computations (23.4% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 289 | 10 | 299 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 289 | 11 | 300 |
| Status | Error | Program |
|---|---|---|
| 23.2b | (fma.f64 1/2 x (*.f64 x (*.f64 x -1/8))) | |
| ▶ | 0.3b | (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1) |
| ▶ | 21.6b | (/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
| ▶ | 22.5b | (/.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 2))) |
| 20.7b | (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) | |
| 21.6b | (/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1))) | |
| ✓ | 0.2b | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| ▶ | 22.8b | (/.f64 x 2) |
| ▶ | 36.5b | (+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
| 6.0b | (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) | |
| 23.2b | (*.f64 x (+.f64 1/2 (*.f64 -1/8 x))) |
Compiled 207 to 161 computations (22.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sqrt.f64 (+.f64 x 1)) | |
| 0.0b | (+.f64 1 (sqrt.f64 (+.f64 x 1))) | |
| ✓ | 0.1b | (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
| ✓ | 0.2b | (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) |
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(/.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 1) |
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(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) |
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(/.f64 (/.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))))) |
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(/.f64 (/.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))))) (sqrt.f64 (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))))) |
(/.f64 (/.f64 (neg.f64 x) -1) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) |
(/.f64 (/.f64 (neg.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (neg.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))) |
(/.f64 (/.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (neg.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) |
(/.f64 (/.f64 (neg.f64 x) (*.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 (/.f64 (neg.f64 x) (neg.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) |
(/.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(/.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (/.f64 1 x))) (sqrt.f64 (/.f64 1 x))) |
(/.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x)))) (cbrt.f64 (/.f64 1 x))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))) -2)) 1) (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 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (cbrt.f64 (/.f64 1 x))) |
(/.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)))) |
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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) |
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(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1) |
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(/.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
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(/.f64 (cbrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (pow.f64 (cbrt.f64 x) 2))) |
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(*.f64 (/.f64 (cbrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x))) |
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(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) (neg.f64 (cbrt.f64 x)))) |
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(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) |
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(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
(/.f64 (sqrt.f64 (sqrt.f64 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 x))))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sqrt.f64 x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 x))) |
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(*.f64 (/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) -2))) (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) |
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) -2))) (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) (sqrt.f64 (cbrt.f64 x)))) |
(*.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))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))) |
(*.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)))) |
(/.f64 (sqrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) (/.f64 (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))) |
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(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (/.f64 (sqrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))) |
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (sqrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (sqrt.f64 (/.f64 -1 (-.f64 1 (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)))) |
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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 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) |
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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 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)))) |
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(/.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) x)) |
(/.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 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.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 1 x)))) (sqrt.f64 (/.f64 1 x))) |
(/.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (/.f64 1 x))) |
(/.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x))) |
(/.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 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (cbrt.f64 x))) |
(/.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 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 x)) |
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (neg.f64 x))) |
(/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 1 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 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1) (/.f64 1 (pow.f64 (/.f64 1 x) -1))) |
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(/.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))) -2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (cbrt.f64 (/.f64 1 x))) |
(/.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) -2)) (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) -2)) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (/.f64 1 x)))) |
(/.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 (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 (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 (cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) -2)) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)))) |
(/.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 error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
Compiled 19 to 14 computations (26.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | 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 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sqrt.f64 (+.f64 x 1)) | |
| ✓ | 4.4b | (+.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) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 2)) |
| ✓ | 8.9b | (/.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 2))) |
Compiled 45 to 35 computations (22.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 2))) |
| 0.0ms | x | @ | -inf | (/.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 2))) |
| 0.0ms | x | @ | 0 | (/.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 2))) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 2)) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 2)) |
| 1× | batch-egg-rewrite |
| 1814× | associate-*r/ |
| 1354× | associate-*l/ |
| 958× | associate-/r* |
| 280× | add-sqr-sqrt |
| 266× | *-un-lft-identity |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 52 |
| 1 | 277 | 52 |
| 2 | 3676 | 52 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (+.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) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) (sqrt.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x 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 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) 2) (cbrt.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x 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 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 -1 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) (/.f64 x (sqrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 2)) (/.f64 x (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 2) 2))) (-.f64 (*.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (fma.f64 x 1/2 2) 3))) (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (*.f64 x (*.f64 x -1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 -1/8 (*.f64 x 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 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (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 -1/8 (*.f64 x 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 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 -1/8 (*.f64 x x) (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 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 2)) (cbrt.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (-.f64 -2 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2))) (-.f64 1 (+.f64 2 (*.f64 x (*.f64 x -1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 2))) (-.f64 1 (*.f64 x (*.f64 x -1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/8)))) (-.f64 1 (fma.f64 x 1/2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/64) (-.f64 (*.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2))) (/.f64 (pow.f64 (fma.f64 x 1/2 2) 2) (-.f64 (*.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 1/4) (fma.f64 x 1/2 -2)) (-.f64 (/.f64 4 (fma.f64 x 1/2 -2)) (*.f64 x (*.f64 x -1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (*.f64 x -1/8)) (exp.f64 (log1p.f64 (fma.f64 x 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2) (cbrt.f64 (fma.f64 x 1/2 2)) (*.f64 x (*.f64 x -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/64)) (cbrt.f64 (*.f64 x (*.f64 x -1/8))) (fma.f64 x 1/2 2)))))) |
| 1× | egg-herbie |
| 1716× | associate-*r/ |
| 1210× | associate-*l/ |
| 616× | associate-/r/ |
| 594× | associate-/l/ |
| 540× | +-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 338 | 6772 |
| 1 | 907 | 6422 |
| 2 | 3861 | 6422 |
| 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))))))) |
2 |
(+.f64 (*.f64 1/2 x) 2) |
(*.f64 -1/8 (pow.f64 x 2)) |
(+.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 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))) 1) |
(*.f64 x (/.f64 1 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) |
(*.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 1) |
(*.f64 1 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) |
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) (sqrt.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))) |
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) 2) (cbrt.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))) |
(*.f64 (/.f64 1 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) x) |
(*.f64 (neg.f64 x) (/.f64 -1 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) |
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) (/.f64 x (sqrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 2)) (/.f64 x (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))) |
(*.f64 (/.f64 x (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 2) 2))) (-.f64 (*.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2))) |
(*.f64 (/.f64 x (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (fma.f64 x 1/2 2) 3))) (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (*.f64 x (*.f64 x -1/8)))))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 2)) (cbrt.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))) |
(pow.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 1) |
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) 3) |
(pow.f64 (pow.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 3) 1/3) |
(pow.f64 (/.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)) x) -1) |
(neg.f64 (/.f64 x (-.f64 -2 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))))) |
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 2)) |
(log.f64 (exp.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))))) |
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))) |
(exp.f64 (log.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2))) (-.f64 1 (+.f64 2 (*.f64 x (*.f64 x -1/8))))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) 1) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 2))) (-.f64 1 (*.f64 x (*.f64 x -1/8)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/8)))) (-.f64 1 (fma.f64 x 1/2 2))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/64) (-.f64 (*.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2))) (/.f64 (pow.f64 (fma.f64 x 1/2 2) 2) (-.f64 (*.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) 1/4) (fma.f64 x 1/2 -2)) (-.f64 (/.f64 4 (fma.f64 x 1/2 -2)) (*.f64 x (*.f64 x -1/8)))) |
(-.f64 (+.f64 (*.f64 x (*.f64 x -1/8)) (exp.f64 (log1p.f64 (fma.f64 x 1/2 2)))) 1) |
(-.f64 (+.f64 (*.f64 x (*.f64 x -1/8)) (/.f64 (*.f64 (*.f64 x x) 1/4) (fma.f64 x 1/2 -2))) (/.f64 4 (fma.f64 x 1/2 -2))) |
(-.f64 (+.f64 (fma.f64 x 1/2 2) (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/8))))) 1) |
(-.f64 (+.f64 (+.f64 2 (*.f64 x (*.f64 x -1/8))) (exp.f64 (log1p.f64 (*.f64 x 1/2)))) 1) |
(*.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)) 1) |
(*.f64 1 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) |
(*.f64 (sqrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) (sqrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) |
(*.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) (pow.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 2) (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) |
(*.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 2) 2)) (/.f64 1 (-.f64 (*.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2)))) |
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (fma.f64 x 1/2 2) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (*.f64 x (*.f64 x -1/8))))))) |
(/.f64 1 (/.f64 1 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 2) 2)) (-.f64 (*.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2))) |
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (fma.f64 x 1/2 2) 3)) (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (*.f64 x (*.f64 x -1/8)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 2) 2))) (neg.f64 (-.f64 (*.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (fma.f64 x 1/2 2) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (*.f64 x (*.f64 x -1/8))))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 2) 2) (*.f64 (pow.f64 x 4) 1/64)) (-.f64 (fma.f64 x 1/2 2) (*.f64 x (*.f64 x -1/8)))) |
(/.f64 (-.f64 (*.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2)) (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))) 4) (-.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2)) 2)) |
(/.f64 (+.f64 8 (pow.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2)) 3)) (+.f64 (*.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2)) (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))) (-.f64 4 (*.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2)) 2)))) |
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (fma.f64 x 1/2 2) 3)) 1) (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (*.f64 x (*.f64 x -1/8)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 2) 2)) 1) (-.f64 (*.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 2) 2)))) (neg.f64 (-.f64 (*.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2)))) |
(/.f64 (*.f64 1 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (fma.f64 x 1/2 2) 3)))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (*.f64 x (*.f64 x -1/8))))))) |
(/.f64 (*.f64 1 (-.f64 (pow.f64 (fma.f64 x 1/2 2) 2) (*.f64 (pow.f64 x 4) 1/64))) (-.f64 (fma.f64 x 1/2 2) (*.f64 x (*.f64 x -1/8)))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2)) (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))) 4)) (-.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2)) 2)) |
(/.f64 (*.f64 1 (+.f64 8 (pow.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2)) 3))) (+.f64 (*.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2)) (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))) (-.f64 4 (*.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2)) 2)))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 2) 2)))) (sqrt.f64 (-.f64 (*.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2)))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (fma.f64 x 1/2 2) 3)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (*.f64 x (*.f64 x -1/8))))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 2) (cbrt.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 2) 2)))) (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 2) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (fma.f64 x 1/2 2) 3)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (*.f64 x (*.f64 x -1/8))))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 2) 2))) 1) (neg.f64 (-.f64 (*.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2)))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (fma.f64 x 1/2 2) 3))) 1) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (*.f64 x (*.f64 x -1/8))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 2) 2) (*.f64 (pow.f64 x 4) 1/64)) 1) (-.f64 (fma.f64 x 1/2 2) (*.f64 x (*.f64 x -1/8)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2)) (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))) 4) 1) (-.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2)) 2)) |
(/.f64 (*.f64 (+.f64 8 (pow.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2)) 3)) 1) (+.f64 (*.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2)) (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))) (-.f64 4 (*.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2)) 2)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 2) 2))) (sqrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) (sqrt.f64 (-.f64 (*.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2)))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (fma.f64 x 1/2 2) 3))) (sqrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (*.f64 x (*.f64 x -1/8))))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 2) 2))) (pow.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 2)) (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (fma.f64 x 1/2 2) 3))) (pow.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 2)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (*.f64 x (*.f64 x -1/8))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (pow.f64 x 4) 1/64)) (*.f64 (pow.f64 (fma.f64 x 1/2 2) 2) (pow.f64 (fma.f64 x 1/2 2) 2))) (/.f64 1 (-.f64 (*.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2)))) (+.f64 (pow.f64 (fma.f64 x 1/2 2) 2) (*.f64 (pow.f64 x 4) 1/64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/64) 3) (pow.f64 (pow.f64 (fma.f64 x 1/2 2) 2) 3)) (/.f64 1 (-.f64 (*.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2)))) (+.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (pow.f64 x 4) 1/64)) (+.f64 (*.f64 (pow.f64 (fma.f64 x 1/2 2) 2) (pow.f64 (fma.f64 x 1/2 2) 2)) (*.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 2) 2))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (*.f64 (pow.f64 (*.f64 x x) 3) -1/512)) (*.f64 (pow.f64 (fma.f64 x 1/2 2) 3) (pow.f64 (fma.f64 x 1/2 2) 3))) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (*.f64 x (*.f64 x -1/8))))))) (-.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (fma.f64 x 1/2 2) 3))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) 3) (pow.f64 (pow.f64 (fma.f64 x 1/2 2) 3) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (*.f64 x (*.f64 x -1/8))))))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (*.f64 (pow.f64 (*.f64 x x) 3) -1/512)) (-.f64 (*.f64 (pow.f64 (fma.f64 x 1/2 2) 3) (pow.f64 (fma.f64 x 1/2 2) 3)) (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (fma.f64 x 1/2 2) 3))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 2) 2)) 1) (-.f64 (*.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2))) |
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 2) 2)) (sqrt.f64 (-.f64 (*.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2)))) (sqrt.f64 (-.f64 (*.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2)))) |
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 2) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2))) (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2))))) (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2)))) |
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 2) 2)) (+.f64 (sqrt.f64 (fma.f64 x 1/2 2)) (*.f64 x (sqrt.f64 -1/8)))) (-.f64 (*.f64 x (sqrt.f64 -1/8)) (sqrt.f64 (fma.f64 x 1/2 2)))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (fma.f64 x 1/2 2) 3)) 1) (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (*.f64 x (*.f64 x -1/8)))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (fma.f64 x 1/2 2) 3)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (*.f64 x (*.f64 x -1/8))))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (*.f64 x (*.f64 x -1/8))))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (fma.f64 x 1/2 2) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (*.f64 x (*.f64 x -1/8)))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (*.f64 x (*.f64 x -1/8)))))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (*.f64 x (*.f64 x -1/8))))))) |
(pow.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)) 1) |
(pow.f64 (sqrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 3) |
(pow.f64 (pow.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)) 2)) |
(log.f64 (exp.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))) |
(cbrt.f64 (pow.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) |
(exp.f64 (log.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)) |
(fma.f64 (*.f64 x x) -1/8 (fma.f64 x 1/2 2)) |
(fma.f64 1 (*.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2)) |
(fma.f64 1 (fma.f64 x 1/2 2) (*.f64 x (*.f64 x -1/8))) |
(fma.f64 (sqrt.f64 (fma.f64 x 1/2 2)) (sqrt.f64 (fma.f64 x 1/2 2)) (*.f64 x (*.f64 x -1/8))) |
(fma.f64 (*.f64 x (sqrt.f64 -1/8)) (*.f64 x (sqrt.f64 -1/8)) (fma.f64 x 1/2 2)) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2) (cbrt.f64 (fma.f64 x 1/2 2)) (*.f64 x (*.f64 x -1/8))) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/64)) (cbrt.f64 (*.f64 x (*.f64 x -1/8))) (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 1/2 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 x (*.f64 x -1/8) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 x (*.f64 x -1/8) (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 x (*.f64 x -1/8) (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 (+.f64 (/.f64 -256 (pow.f64 x 3)) (/.f64 -32 (*.f64 x x))) (+.f64 (/.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 (+.f64 (/.f64 -256 (pow.f64 x 3)) (/.f64 -32 (*.f64 x x))) (+.f64 (/.f64 -8 x) (/.f64 -1536 (pow.f64 x 4)))) |
2 |
(+.f64 (*.f64 1/2 x) 2) |
(fma.f64 1/2 x 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 (+.f64 1/2 (*.f64 x -1/8))) |
(*.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 (+.f64 1/2 (*.f64 x -1/8))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))) 1) |
(/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))) |
(/.f64 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))) |
(*.f64 x (/.f64 1 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) |
(/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))) |
(/.f64 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))) |
(*.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 1) |
(/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))) |
(/.f64 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))) |
(*.f64 1 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) |
(/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))) |
(/.f64 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))) |
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) (sqrt.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))) |
(/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))) |
(/.f64 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))) |
(/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))) |
(/.f64 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))) |
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) 2)) |
(/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))) |
(/.f64 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) 2) (cbrt.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))) |
(/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))) |
(/.f64 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))) |
(/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))) |
(/.f64 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))) |
(*.f64 (/.f64 1 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) x) |
(/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))) |
(/.f64 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))) |
(*.f64 (neg.f64 x) (/.f64 -1 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) |
(/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))) |
(/.f64 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))) |
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) (/.f64 x (sqrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))) |
(/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))) |
(/.f64 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 2)) (/.f64 x (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))) |
(/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))) |
(/.f64 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))) |
(*.f64 (/.f64 x (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 2) 2))) (-.f64 (*.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2))) |
(/.f64 (*.f64 x (-.f64 (*.f64 -1/8 (*.f64 x x)) (fma.f64 1/2 x 2))) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 1/2 x 2) 2))) |
(*.f64 (/.f64 x (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 1/2 x 2) 2))) (-.f64 (*.f64 x (*.f64 x -1/8)) (fma.f64 1/2 x 2))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (*.f64 (pow.f64 x 4) -1/64))) (+.f64 (fma.f64 1/2 x 2) (*.f64 (*.f64 x x) 1/8))) |
(*.f64 (/.f64 x (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (fma.f64 x 1/2 2) 3))) (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (*.f64 x (*.f64 x -1/8)))))) |
(*.f64 (/.f64 x (fma.f64 (pow.f64 (*.f64 x x) 3) -1/512 (pow.f64 (fma.f64 1/2 x 2) 3))) (fma.f64 (pow.f64 x 4) 1/64 (*.f64 (fma.f64 1/2 x 2) (-.f64 (fma.f64 1/2 x 2) (*.f64 -1/8 (*.f64 x x)))))) |
(*.f64 (/.f64 x (fma.f64 (pow.f64 x 6) -1/512 (pow.f64 (fma.f64 1/2 x 2) 3))) (fma.f64 (pow.f64 x 4) 1/64 (*.f64 (fma.f64 1/2 x 2) (+.f64 (fma.f64 1/2 x 2) (*.f64 (*.f64 x x) 1/8))))) |
(*.f64 (/.f64 x (fma.f64 (pow.f64 x 6) -1/512 (pow.f64 (fma.f64 1/2 x 2) 3))) (fma.f64 (fma.f64 1/2 x 2) (+.f64 (fma.f64 1/2 x 2) (*.f64 (*.f64 x x) 1/8)) (*.f64 (pow.f64 x 4) 1/64))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) |
(/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))) |
(/.f64 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))) |
(/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))) |
(/.f64 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) |
(/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))) |
(/.f64 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))) |
(/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))) |
(/.f64 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 2)) (cbrt.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))) |
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))) 2))) |
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))) 2))) |
(pow.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 1) |
(/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))) |
(/.f64 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))) |
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) 2) |
(/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))) |
(/.f64 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))) |
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) 3) |
(/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))) |
(/.f64 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))) |
(pow.f64 (pow.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 3) 1/3) |
(/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))) |
(/.f64 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))) |
(pow.f64 (/.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)) x) -1) |
(/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))) |
(/.f64 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))) |
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(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/64) 3) (pow.f64 (pow.f64 (fma.f64 x 1/2 2) 2) 3)) (/.f64 1 (-.f64 (*.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2)))) (+.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (pow.f64 x 4) 1/64)) (+.f64 (*.f64 (pow.f64 (fma.f64 x 1/2 2) 2) (pow.f64 (fma.f64 x 1/2 2) 2)) (*.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 2) 2))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/262144) (pow.f64 (pow.f64 (fma.f64 1/2 x 2) 2) 3)) (/.f64 (+.f64 (+.f64 (*.f64 (*.f64 (pow.f64 x 4) (pow.f64 x 4)) 1/4096) (pow.f64 (fma.f64 1/2 x 2) 4)) (*.f64 (pow.f64 x 4) (*.f64 1/64 (pow.f64 (fma.f64 1/2 x 2) 2)))) (/.f64 1 (-.f64 (*.f64 -1/8 (*.f64 x x)) (fma.f64 1/2 x 2))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/64) 3) (pow.f64 (fma.f64 1/2 x 2) 6)) (-.f64 (*.f64 x (*.f64 x -1/8)) (fma.f64 1/2 x 2))) (fma.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (fma.f64 (pow.f64 x 4) 1/64 (pow.f64 (fma.f64 1/2 x 2) 2)) (*.f64 (pow.f64 x 8) 1/4096))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (*.f64 (pow.f64 (*.f64 x x) 3) -1/512)) (*.f64 (pow.f64 (fma.f64 x 1/2 2) 3) (pow.f64 (fma.f64 x 1/2 2) 3))) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (*.f64 x (*.f64 x -1/8))))))) (-.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (fma.f64 x 1/2 2) 3))) |
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 3)) 1/262144) (pow.f64 (fma.f64 1/2 x 2) 6)) 1) (fma.f64 (pow.f64 x 4) 1/64 (*.f64 (fma.f64 1/2 x 2) (-.f64 (fma.f64 1/2 x 2) (*.f64 -1/8 (*.f64 x x)))))) (-.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (fma.f64 1/2 x 2) 3))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/64) 3) (pow.f64 (fma.f64 1/2 x 2) 6)) (*.f64 (-.f64 (*.f64 (pow.f64 x 6) -1/512) (pow.f64 (fma.f64 1/2 x 2) 3)) (fma.f64 (pow.f64 x 4) 1/64 (*.f64 (fma.f64 1/2 x 2) (+.f64 (fma.f64 1/2 x 2) (*.f64 (*.f64 x x) 1/8)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/64) 3) (pow.f64 (fma.f64 1/2 x 2) 6)) (*.f64 (-.f64 (*.f64 (pow.f64 x 6) -1/512) (pow.f64 (fma.f64 1/2 x 2) 3)) (fma.f64 (fma.f64 1/2 x 2) (+.f64 (fma.f64 1/2 x 2) (*.f64 (*.f64 x x) 1/8)) (*.f64 (pow.f64 x 4) 1/64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) 3) (pow.f64 (pow.f64 (fma.f64 x 1/2 2) 3) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (*.f64 x (*.f64 x -1/8))))))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (*.f64 (pow.f64 (*.f64 x x) 3) -1/512)) (-.f64 (*.f64 (pow.f64 (fma.f64 x 1/2 2) 3) (pow.f64 (fma.f64 x 1/2 2) 3)) (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (fma.f64 x 1/2 2) 3))))) |
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 x x) 3) 3) -1/134217728) (pow.f64 (pow.f64 (fma.f64 1/2 x 2) 3) 3)) 1) (fma.f64 (pow.f64 x 4) 1/64 (*.f64 (fma.f64 1/2 x 2) (-.f64 (fma.f64 1/2 x 2) (*.f64 -1/8 (*.f64 x x)))))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 3)) 1/262144) (-.f64 (pow.f64 (fma.f64 1/2 x 2) 6) (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (fma.f64 1/2 x 2) 3))))) |
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) -1/134217728 (pow.f64 (pow.f64 (fma.f64 1/2 x 2) 3) 3)) (*.f64 (fma.f64 (pow.f64 (fma.f64 1/2 x 2) 3) (+.f64 (pow.f64 (fma.f64 1/2 x 2) 3) (*.f64 (pow.f64 x 6) 1/512)) (pow.f64 (*.f64 (pow.f64 x 4) 1/64) 3)) (fma.f64 (pow.f64 x 4) 1/64 (*.f64 (fma.f64 1/2 x 2) (+.f64 (fma.f64 1/2 x 2) (*.f64 (*.f64 x x) 1/8)))))) |
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) -1/134217728 (pow.f64 (pow.f64 (fma.f64 1/2 x 2) 3) 3)) (*.f64 (+.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/262144 (pow.f64 (fma.f64 1/2 x 2) 6)) (*.f64 (pow.f64 (fma.f64 1/2 x 2) 3) (*.f64 (pow.f64 x 6) 1/512))) (fma.f64 (fma.f64 1/2 x 2) (+.f64 (fma.f64 1/2 x 2) (*.f64 (*.f64 x x) 1/8)) (*.f64 (pow.f64 x 4) 1/64)))) |
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 2) 2)) 1) (-.f64 (*.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 1/2 x 2) 2)) (-.f64 (*.f64 -1/8 (*.f64 x x)) (fma.f64 1/2 x 2))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 1/2 x 2) 2)) (-.f64 (*.f64 x (*.f64 x -1/8)) (fma.f64 1/2 x 2))) |
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 2) 2)) (sqrt.f64 (-.f64 (*.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2)))) (sqrt.f64 (-.f64 (*.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 1/2 x 2) 2)) (-.f64 (*.f64 -1/8 (*.f64 x x)) (fma.f64 1/2 x 2))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 1/2 x 2) 2)) (-.f64 (*.f64 x (*.f64 x -1/8)) (fma.f64 1/2 x 2))) |
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 2) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2))) (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2))))) (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 1/2 x 2) 2)) (-.f64 (*.f64 -1/8 (*.f64 x x)) (fma.f64 1/2 x 2))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 1/2 x 2) 2)) (-.f64 (*.f64 x (*.f64 x -1/8)) (fma.f64 1/2 x 2))) |
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 2) 2)) (+.f64 (sqrt.f64 (fma.f64 x 1/2 2)) (*.f64 x (sqrt.f64 -1/8)))) (-.f64 (*.f64 x (sqrt.f64 -1/8)) (sqrt.f64 (fma.f64 x 1/2 2)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 1/2 x 2) 2)) (*.f64 (-.f64 (*.f64 x (sqrt.f64 -1/8)) (sqrt.f64 (fma.f64 1/2 x 2))) (+.f64 (sqrt.f64 (fma.f64 1/2 x 2)) (*.f64 x (sqrt.f64 -1/8))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 1/2 x 2) 2)) (*.f64 (fma.f64 x (sqrt.f64 -1/8) (sqrt.f64 (fma.f64 1/2 x 2))) (-.f64 (*.f64 x (sqrt.f64 -1/8)) (sqrt.f64 (fma.f64 1/2 x 2))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (fma.f64 x 1/2 2) 3)) 1) (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (*.f64 x (*.f64 x -1/8)))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) -1/512 (pow.f64 (fma.f64 1/2 x 2) 3)) (fma.f64 (pow.f64 x 4) 1/64 (*.f64 (fma.f64 1/2 x 2) (-.f64 (fma.f64 1/2 x 2) (*.f64 -1/8 (*.f64 x x)))))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/512 (pow.f64 (fma.f64 1/2 x 2) 3)) (fma.f64 (pow.f64 x 4) 1/64 (*.f64 (fma.f64 1/2 x 2) (+.f64 (fma.f64 1/2 x 2) (*.f64 (*.f64 x x) 1/8))))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/512 (pow.f64 (fma.f64 1/2 x 2) 3)) (fma.f64 (fma.f64 1/2 x 2) (+.f64 (fma.f64 1/2 x 2) (*.f64 (*.f64 x x) 1/8)) (*.f64 (pow.f64 x 4) 1/64))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (fma.f64 x 1/2 2) 3)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (*.f64 x (*.f64 x -1/8))))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (*.f64 x (*.f64 x -1/8))))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) -1/512 (pow.f64 (fma.f64 1/2 x 2) 3)) (fma.f64 (pow.f64 x 4) 1/64 (*.f64 (fma.f64 1/2 x 2) (-.f64 (fma.f64 1/2 x 2) (*.f64 -1/8 (*.f64 x x)))))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/512 (pow.f64 (fma.f64 1/2 x 2) 3)) (fma.f64 (pow.f64 x 4) 1/64 (*.f64 (fma.f64 1/2 x 2) (+.f64 (fma.f64 1/2 x 2) (*.f64 (*.f64 x x) 1/8))))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/512 (pow.f64 (fma.f64 1/2 x 2) 3)) (fma.f64 (fma.f64 1/2 x 2) (+.f64 (fma.f64 1/2 x 2) (*.f64 (*.f64 x x) 1/8)) (*.f64 (pow.f64 x 4) 1/64))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (fma.f64 x 1/2 2) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (*.f64 x (*.f64 x -1/8)))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (*.f64 x (*.f64 x -1/8)))))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (*.f64 x (*.f64 x -1/8))))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) -1/512 (pow.f64 (fma.f64 1/2 x 2) 3)) (fma.f64 (pow.f64 x 4) 1/64 (*.f64 (fma.f64 1/2 x 2) (-.f64 (fma.f64 1/2 x 2) (*.f64 -1/8 (*.f64 x x)))))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/512 (pow.f64 (fma.f64 1/2 x 2) 3)) (fma.f64 (pow.f64 x 4) 1/64 (*.f64 (fma.f64 1/2 x 2) (+.f64 (fma.f64 1/2 x 2) (*.f64 (*.f64 x x) 1/8))))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/512 (pow.f64 (fma.f64 1/2 x 2) 3)) (fma.f64 (fma.f64 1/2 x 2) (+.f64 (fma.f64 1/2 x 2) (*.f64 (*.f64 x x) 1/8)) (*.f64 (pow.f64 x 4) 1/64))) |
(pow.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)) 1) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2)) |
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2)) |
(pow.f64 (sqrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 2) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2)) |
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2)) |
(pow.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 3) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2)) |
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2)) |
(pow.f64 (pow.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)) 3) 1/3) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2)) |
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2)) |
(sqrt.f64 (pow.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2)) 2)) |
(fabs.f64 (fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))) |
(log.f64 (exp.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2)) |
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2)) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2)) |
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2)) |
(cbrt.f64 (pow.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)) 3)) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2)) |
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2)) |
(expm1.f64 (log1p.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2)) |
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2)) |
(exp.f64 (log.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2)) |
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2)) |
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 1)) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2)) |
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2)) |
(log1p.f64 (expm1.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2)) |
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2)) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2)) |
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2)) |
(fma.f64 (*.f64 x x) -1/8 (fma.f64 x 1/2 2)) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2)) |
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2)) |
(fma.f64 1 (*.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2)) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2)) |
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2)) |
(fma.f64 1 (fma.f64 x 1/2 2) (*.f64 x (*.f64 x -1/8))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2)) |
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2)) |
(fma.f64 (sqrt.f64 (fma.f64 x 1/2 2)) (sqrt.f64 (fma.f64 x 1/2 2)) (*.f64 x (*.f64 x -1/8))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2)) |
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2)) |
(fma.f64 (*.f64 x (sqrt.f64 -1/8)) (*.f64 x (sqrt.f64 -1/8)) (fma.f64 x 1/2 2)) |
(fma.f64 (*.f64 x (sqrt.f64 -1/8)) (*.f64 x (sqrt.f64 -1/8)) (fma.f64 1/2 x 2)) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2) (cbrt.f64 (fma.f64 x 1/2 2)) (*.f64 x (*.f64 x -1/8))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2)) |
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2)) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/64)) (cbrt.f64 (*.f64 x (*.f64 x -1/8))) (fma.f64 x 1/2 2)) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/64)) (cbrt.f64 (*.f64 -1/8 (*.f64 x x))) (fma.f64 1/2 x 2)) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/64)) (cbrt.f64 (*.f64 x (*.f64 x -1/8))) (fma.f64 1/2 x 2)) |
Compiled 18119 to 13988 computations (22.8% saved)
11 alts after pruning (7 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 902 | 6 | 908 |
| Fresh | 4 | 1 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 4 | 5 |
| Total | 908 | 11 | 919 |
| Status | Error | Program |
|---|---|---|
| ▶ | 23.2b | (fma.f64 1/2 x (*.f64 x (*.f64 x -1/8))) |
| 0.3b | (/.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (/.f64 -1 x)) | |
| ▶ | 22.5b | (/.f64 (neg.f64 x) (-.f64 -2 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))) |
| ✓ | 21.6b | (/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
| ✓ | 0.2b | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| ✓ | 22.8b | (/.f64 x 2) |
| ▶ | 0.3b | (/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)) |
| ✓ | 36.5b | (+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
| ▶ | 22.4b | (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
| ▶ | 23.2b | (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
| 60.7b | 2 |
Compiled 162 to 126 computations (22.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sqrt.f64 (+.f64 x 1)) | |
| ✓ | 0.0b | (+.f64 (sqrt.f64 (+.f64 x 1)) 1) |
| ✓ | 0.1b | (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x) |
| ✓ | 0.2b | (/.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 | @ | 0 | (/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)) |
| 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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(sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 1))))) |
| 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))))) |
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(+.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)))) |
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(*.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))) |
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(*.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) |
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(*.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)))) |
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(*.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)) |
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(*.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)) |
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(*.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)))) |
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(*.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))))) |
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(*.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)) |
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(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) 1) x) |
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(*.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 x)) |
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(*.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) |
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(+.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)))) |
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(*.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))))) |
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(*.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))) |
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(*.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)))) |
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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))) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) |
(*.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))) |
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(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
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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)) (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 (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 (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)) (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (/.f64 1 (/.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 1 (-.f64 (pow.f64 (+.f64 1 x) 3/2) 1)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 (*.f64 x (+.f64 1 x)) x)) (+.f64 x 2)) |
(*.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))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 1) (sqrt.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) |
(*.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2) 1) (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) |
(*.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2) -1) (cbrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) |
(*.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)) x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) |
(*.f64 (/.f64 (*.f64 x (/.f64 1 x)) (sqrt.f64 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))) |
(*.f64 (/.f64 (*.f64 x (/.f64 1 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 (*.f64 x (/.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x))) |
(*.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))) |
(*.f64 (/.f64 (*.f64 x (/.f64 1 x)) (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(*.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))))) |
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) (sqrt.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) |
(*.f64 (neg.f64 (neg.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))))) |
(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))) |
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (neg.f64 (neg.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))) |
(*.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))))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (neg.f64 (neg.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))) |
(*.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)))))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) (neg.f64 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (/.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) |
(*.f64 (neg.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (neg.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (neg.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (/.f64 1 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x))))) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) |
(*.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)))) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x))) |
(*.f64 (/.f64 x -1) (/.f64 -1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(*.f64 (/.f64 x (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(*.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))))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 (+.f64 1 x) 3/2) 1)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (/.f64 (+.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 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 (/.f64 (neg.f64 x) (neg.f64 x)) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) |
(*.f64 (/.f64 (neg.f64 x) (-.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 1 x))))) |
(*.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))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(/.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))) |
(/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))) |
(/.f64 (sqrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) (sqrt.f64 x))) |
(/.f64 (sqrt.f64 x) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 x)))) |
(/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (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) (/.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) |
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(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
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(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) -2)) |
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(/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) |
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(cbrt.f64 (/.f64 1 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3))) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3) (pow.f64 x 3))) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) (pow.f64 x 3))) |
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(exp.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) |
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(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 0) |
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(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) 1) |
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(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1) |
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(*.f64 (/.f64 (neg.f64 x) (neg.f64 x)) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) |
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(/.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) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
Compiled 19 to 14 computations (26.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | 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 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) |
| ✓ | 0.1b | (*.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 | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.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 | @ | 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 |
|---|
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1/64 (*.f64 1/256 (*.f64 x x))) x) 1) (+.f64 -1/8 (*.f64 -1/16 x)))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/16 -1/8))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/16 -1/8))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/16 -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 1/16 -1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))) |
(/.f64 (*.f64 1 (*.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 1 (-.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 1 (+.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 x (sqrt.f64 (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))) (sqrt.f64 (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2)))) (sqrt.f64 (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))))) |
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))) (sqrt.f64 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)))) (sqrt.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 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) 2)) (cbrt.f64 (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2)))) (cbrt.f64 (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))))) |
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) 2)) (cbrt.f64 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)))) (cbrt.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 (-.f64 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2) 1/4) x) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2)) |
(/.f64 (*.f64 (neg.f64 (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2))) x) (neg.f64 (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))))) |
(/.f64 (*.f64 (neg.f64 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3))) x) (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 (*.f64 x (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2))) 1) (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8)))) |
(/.f64 (*.f64 (*.f64 x (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3))) 1) (+.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 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2)) x) 1) (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8)))) |
(/.f64 (*.f64 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)) x) 1) (+.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 (*.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))))) 1) (-.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) 3)) 1) (+.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 (sqrt.f64 (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2))) (*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) x)) (sqrt.f64 (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3))) (*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) x)) (sqrt.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 (*.f64 x (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2))) 1) (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8)))) |
(/.f64 (/.f64 (*.f64 x (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2))) (sqrt.f64 (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))))) (sqrt.f64 (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))))) |
(/.f64 (/.f64 (*.f64 x (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2))) (*.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8)))) (cbrt.f64 (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8)))))) (cbrt.f64 (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))))) |
(/.f64 (/.f64 (*.f64 x (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3))) 1) (+.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 x (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3))) (sqrt.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))))) (sqrt.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 (*.f64 x (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3))) (*.f64 (cbrt.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)))) (cbrt.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)))))) (cbrt.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 (*.f64 (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2)) x) 1) (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8)))) |
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2)) x) (sqrt.f64 (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))))) (sqrt.f64 (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))))) |
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2)) x) (*.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8)))) (cbrt.f64 (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8)))))) (cbrt.f64 (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))))) |
(/.f64 (/.f64 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)) x) 1) (+.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 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)) x) (sqrt.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))))) (sqrt.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 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)) x) (*.f64 (cbrt.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)))) (cbrt.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)))))) (cbrt.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))))) |
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) 1) |
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))) 3) |
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))))) |
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)))) |
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)))) |
(fma.f64 x 1/2 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8)))) |
(fma.f64 1/2 x (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8)))) |
(+.f64 (*.f64 x -1/8) (*.f64 x (*.f64 x 1/16))) |
(+.f64 (*.f64 x (*.f64 x 1/16)) (*.f64 x -1/8)) |
(+.f64 (*.f64 (*.f64 x -1/8) 1) (*.f64 (*.f64 x (*.f64 x 1/16)) 1)) |
(+.f64 (*.f64 (*.f64 x (*.f64 x 1/16)) 1) (*.f64 (*.f64 x -1/8) 1)) |
(+.f64 (*.f64 1 (*.f64 (*.f64 x -1/8) 1)) (*.f64 1 (*.f64 (*.f64 x (*.f64 x 1/16)) 1))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/16 -1/8)))) 1) |
(/.f64 x (/.f64 1 (fma.f64 x 1/16 -1/8))) |
(/.f64 (-.f64 1/64 (*.f64 1/256 (*.f64 x x))) (/.f64 (+.f64 -1/8 (*.f64 -1/16 x)) x)) |
(/.f64 (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3))) (/.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8))) x)) |
(/.f64 (*.f64 x (-.f64 1/64 (*.f64 1/256 (*.f64 x x)))) (+.f64 -1/8 (*.f64 -1/16 x))) |
(/.f64 (*.f64 x (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3)))) (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8)))) |
(/.f64 (*.f64 (-.f64 1/64 (*.f64 1/256 (*.f64 x x))) x) (+.f64 -1/8 (*.f64 -1/16 x))) |
(/.f64 (*.f64 (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3))) x) (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x -1/8) (*.f64 x -1/8)) (*.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 (pow.f64 (*.f64 x -1/8) 3) (pow.f64 (*.f64 x (*.f64 x 1/16)) 3)) (+.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 x (-.f64 (*.f64 1/256 (*.f64 x x)) 1/64)) (-.f64 (*.f64 x 1/16) -1/8)) |
(/.f64 (*.f64 x (neg.f64 (-.f64 1/64 (*.f64 1/256 (*.f64 x x))))) (neg.f64 (+.f64 -1/8 (*.f64 -1/16 x)))) |
(/.f64 (*.f64 x (neg.f64 (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3))))) (neg.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8))))) |
(/.f64 (*.f64 1 (*.f64 x (-.f64 1/64 (*.f64 1/256 (*.f64 x x))))) (+.f64 -1/8 (*.f64 -1/16 x))) |
(/.f64 (*.f64 1 (*.f64 x (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3))))) (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8)))) |
(/.f64 (*.f64 1 (*.f64 (-.f64 1/64 (*.f64 1/256 (*.f64 x x))) x)) (+.f64 -1/8 (*.f64 -1/16 x))) |
(/.f64 (*.f64 1 (*.f64 (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3))) x)) (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8)))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 x -1/8) (*.f64 x -1/8)) (*.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 1 (+.f64 (pow.f64 (*.f64 x -1/8) 3) (pow.f64 (*.f64 x (*.f64 x 1/16)) 3))) (+.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 x (sqrt.f64 (fma.f64 x 1/16 -1/8))) (sqrt.f64 (-.f64 1/64 (*.f64 1/256 (*.f64 x x))))) (sqrt.f64 (+.f64 -1/8 (*.f64 -1/16 x)))) |
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (fma.f64 x 1/16 -1/8))) (sqrt.f64 (+.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))))) |
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 1/16 -1/8)) 2)) (cbrt.f64 (-.f64 1/64 (*.f64 1/256 (*.f64 x x))))) (cbrt.f64 (+.f64 -1/8 (*.f64 -1/16 x)))) |
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 1/16 -1/8)) 2)) (cbrt.f64 (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3))))) (cbrt.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8))))) |
(/.f64 (*.f64 (-.f64 (*.f64 1/256 (*.f64 x x)) 1/64) x) (-.f64 (*.f64 x 1/16) -1/8)) |
(/.f64 (*.f64 (neg.f64 (-.f64 1/64 (*.f64 1/256 (*.f64 x x)))) x) (neg.f64 (+.f64 -1/8 (*.f64 -1/16 x)))) |
(/.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 (*.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 -1/512 (*.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 (-.f64 1/64 (*.f64 1/256 (*.f64 x x))) x) 1) (+.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 (*.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 (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 (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 (*.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 (/.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)))) |
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(*.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) |
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(*.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)) |
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(*.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)) |
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(*.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 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)) x) 1) (+.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)))) |
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(*.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))) |
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(*.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 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)) x) (*.f64 (cbrt.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)))) (cbrt.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)))))) (cbrt.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 (+.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))) |
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(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
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(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)) |
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(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
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(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
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(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)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (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)) |
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(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
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(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)) |
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(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
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(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
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(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)) |
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(*.f64 x (fma.f64 x 1/16 -1/8)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/16 -1/8)))) 1) |
(*.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)))) (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 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) | |
| ✓ | 8.9b | (/.f64 (neg.f64 x) (-.f64 -2 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))) |
Compiled 43 to 31 computations (27.9% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 (neg.f64 x) (-.f64 -2 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))) |
| 0.0ms | x | @ | 0 | (/.f64 (neg.f64 x) (-.f64 -2 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))) |
| 0.0ms | x | @ | -inf | (/.f64 (neg.f64 x) (-.f64 -2 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))) |
| 1× | batch-egg-rewrite |
| 1618× | associate-*l/ |
| 1350× | associate-/r* |
| 1068× | associate-/l* |
| 310× | add-sqr-sqrt |
| 292× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 35 |
| 1 | 301 | 27 |
| 2 | 4268 | 27 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (neg.f64 x) (-.f64 -2 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (/.f64 0 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))) (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 0 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))) 0) (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 0 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))) (exp.f64 (log1p.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 0 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))) (/.f64 0 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))) (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))) (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) (sqrt.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) 2) (cbrt.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))) (/.f64 x (sqrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))) 2)) (/.f64 x (cbrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2) 4)) (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 -8 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 3))) (+.f64 4 (*.f64 (*.f64 x (fma.f64 x -1/8 1/2)) (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))) 2)) (cbrt.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))) (/.f64 x (sqrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))) 2)) (/.f64 x (cbrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)))))))) |
| 1× | egg-herbie |
| 718× | fma-def |
| 672× | distribute-lft-neg-in |
| 586× | distribute-rgt-neg-in |
| 476× | unswap-sqr |
| 460× | associate-/l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 153 | 1963 |
| 1 | 401 | 1777 |
| 2 | 1501 | 1769 |
| 3 | 5600 | 1769 |
| 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 0 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) |
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))))) 1) |
(+.f64 (-.f64 0 (/.f64 0 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))) (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) |
(+.f64 (-.f64 (/.f64 0 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))) 0) (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) |
(+.f64 (-.f64 (/.f64 0 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))) (exp.f64 (log1p.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))))) 1) |
(+.f64 (-.f64 (/.f64 0 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))) (/.f64 0 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))) (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) |
(-.f64 0 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)))) 1) |
(-.f64 (/.f64 0 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))) (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) |
(*.f64 x (/.f64 1 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))) |
(*.f64 x (/.f64 1 (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) |
(*.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)) 1) |
(*.f64 1 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) |
(*.f64 (sqrt.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) (sqrt.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) 2) (cbrt.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))))) |
(*.f64 -1 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) |
(*.f64 (/.f64 1 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))) x) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))) (/.f64 x (sqrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))) 2)) (/.f64 x (cbrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2) 4)) (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))) |
(*.f64 (/.f64 x (-.f64 -8 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 3))) (+.f64 4 (*.f64 (*.f64 x (fma.f64 x -1/8 1/2)) (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))) 2)) (cbrt.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)))) |
(*.f64 (/.f64 -1 (sqrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))) (/.f64 x (sqrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))))) |
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))) 2)) (/.f64 x (cbrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))))) |
(pow.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)) 1) |
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) 2) |
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) 3) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2) x) -1) |
(neg.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) |
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)) 2)) |
(log.f64 (exp.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))))) |
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)))) |
(exp.f64 (log.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 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 (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 1/16 (pow.f64 x 3)) (*.f64 x (fma.f64 x -1/8 1/2))) |
(fma.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 -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))))) |
(+.f64 (fma.f64 1/16 (pow.f64 x 3) (*.f64 -3/128 (pow.f64 x 4))) (*.f64 x (fma.f64 x -1/8 1/2))) |
(fma.f64 x (fma.f64 x -1/8 1/2) (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 (+.f64 (/.f64 -32 (*.f64 x x)) (/.f64 -8 x)) (+.f64 (/.f64 -256 (pow.f64 x 3)) (/.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 (+.f64 (/.f64 -32 (*.f64 x x)) (/.f64 -8 x)) (+.f64 (/.f64 -256 (pow.f64 x 3)) (/.f64 -1536 (pow.f64 x 4)))) |
(+.f64 0 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) |
(/.f64 x (fma.f64 x (fma.f64 x -1/8 1/2) 2)) |
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))))) 1) |
(/.f64 (neg.f64 x) (fma.f64 x (fma.f64 x -1/8 1/2) 2)) |
(+.f64 (-.f64 0 (/.f64 0 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))) (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) |
(/.f64 x (fma.f64 x (fma.f64 x -1/8 1/2) 2)) |
(+.f64 (-.f64 (/.f64 0 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))) 0) (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) |
(/.f64 x (fma.f64 x (fma.f64 x -1/8 1/2) 2)) |
(+.f64 (-.f64 (/.f64 0 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))) (exp.f64 (log1p.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))))) 1) |
(/.f64 (neg.f64 x) (fma.f64 x (fma.f64 x -1/8 1/2) 2)) |
(+.f64 (-.f64 (/.f64 0 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))) (/.f64 0 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))) (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) |
(/.f64 x (fma.f64 x (fma.f64 x -1/8 1/2) 2)) |
(-.f64 0 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) |
(/.f64 (neg.f64 x) (fma.f64 x (fma.f64 x -1/8 1/2) 2)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)))) 1) |
(/.f64 x (fma.f64 x (fma.f64 x -1/8 1/2) 2)) |
(-.f64 (/.f64 0 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))) (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) |
(/.f64 (neg.f64 x) (fma.f64 x (fma.f64 x -1/8 1/2) 2)) |
(*.f64 x (/.f64 1 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))) |
(*.f64 x (/.f64 1 (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) -2))) |
(/.f64 x (fma.f64 x (fma.f64 x -1/8 1/2) -2)) |
(*.f64 x (/.f64 1 (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) |
(/.f64 x (fma.f64 x (fma.f64 x -1/8 1/2) 2)) |
(*.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)) 1) |
(/.f64 x (fma.f64 x (fma.f64 x -1/8 1/2) 2)) |
(*.f64 1 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) |
(/.f64 x (fma.f64 x (fma.f64 x -1/8 1/2) 2)) |
(*.f64 (sqrt.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) (sqrt.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)))) |
(/.f64 x (fma.f64 x (fma.f64 x -1/8 1/2) 2)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))))) |
(*.f64 x (/.f64 1 (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) -2))) |
(/.f64 x (fma.f64 x (fma.f64 x -1/8 1/2) -2)) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) 2)) |
(/.f64 x (fma.f64 x (fma.f64 x -1/8 1/2) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) 2) (cbrt.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)))) |
(/.f64 x (fma.f64 x (fma.f64 x -1/8 1/2) 2)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))))) |
(*.f64 x (/.f64 1 (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) -2))) |
(/.f64 x (fma.f64 x (fma.f64 x -1/8 1/2) -2)) |
(*.f64 -1 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) |
(/.f64 (neg.f64 x) (fma.f64 x (fma.f64 x -1/8 1/2) 2)) |
(*.f64 (/.f64 1 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))) x) |
(*.f64 x (/.f64 1 (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) -2))) |
(/.f64 x (fma.f64 x (fma.f64 x -1/8 1/2) -2)) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))) (/.f64 x (sqrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) -2))) (/.f64 x (sqrt.f64 (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) -2)))) |
(/.f64 (/.f64 x (sqrt.f64 (fma.f64 x (fma.f64 x -1/8 1/2) -2))) (sqrt.f64 (fma.f64 x (fma.f64 x -1/8 1/2) -2))) |
(/.f64 x (*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -1/8 1/2) -2)) (sqrt.f64 (fma.f64 x (fma.f64 x -1/8 1/2) -2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))) 2)) (/.f64 x (cbrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) -2)) 2)) (/.f64 x (cbrt.f64 (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) -2)))) |
(/.f64 (/.f64 x (cbrt.f64 (fma.f64 x (fma.f64 x -1/8 1/2) -2))) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -1/8 1/2) -2)) 2)) |
(/.f64 x (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -1/8 1/2) -2)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x -1/8 1/2) -2)))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2) 4)) (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))) |
(/.f64 (*.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) -2)) (+.f64 4 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) |
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x -1/8 1/2) -2)) (+.f64 4 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) |
(*.f64 (fma.f64 x (fma.f64 x -1/8 1/2) -2) (/.f64 x (+.f64 4 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)))) |
(/.f64 (fma.f64 x (fma.f64 x -1/8 1/2) -2) (/.f64 (+.f64 4 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)) x)) |
(*.f64 (/.f64 x (-.f64 -8 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 3))) (+.f64 4 (*.f64 (*.f64 x (fma.f64 x -1/8 1/2)) (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))))) |
(*.f64 (/.f64 x (-.f64 -8 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 3))) (+.f64 4 (*.f64 x (*.f64 (fma.f64 x -1/8 1/2) (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) -2))))) |
(/.f64 x (/.f64 (-.f64 -8 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 3)) (fma.f64 (*.f64 x (fma.f64 x -1/8 1/2)) (fma.f64 x (fma.f64 x -1/8 1/2) -2) 4))) |
(/.f64 (fma.f64 x (*.f64 (fma.f64 x -1/8 1/2) (fma.f64 x (fma.f64 x -1/8 1/2) -2)) 4) (/.f64 (-.f64 -8 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 3)) x)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))) |
(*.f64 x (/.f64 1 (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) -2))) |
(/.f64 x (fma.f64 x (fma.f64 x -1/8 1/2) -2)) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) -2)) 2)) (/.f64 x (cbrt.f64 (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) -2)))) |
(/.f64 (/.f64 x (cbrt.f64 (fma.f64 x (fma.f64 x -1/8 1/2) -2))) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -1/8 1/2) -2)) 2)) |
(/.f64 x (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -1/8 1/2) -2)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x -1/8 1/2) -2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))) |
(*.f64 x (/.f64 1 (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) -2))) |
(/.f64 x (fma.f64 x (fma.f64 x -1/8 1/2) -2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) -2))) (/.f64 x (sqrt.f64 (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) -2)))) |
(/.f64 (/.f64 x (sqrt.f64 (fma.f64 x (fma.f64 x -1/8 1/2) -2))) (sqrt.f64 (fma.f64 x (fma.f64 x -1/8 1/2) -2))) |
(/.f64 x (*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -1/8 1/2) -2)) (sqrt.f64 (fma.f64 x (fma.f64 x -1/8 1/2) -2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))) 2)) (cbrt.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)))) |
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x (fma.f64 x -1/8 1/2) 2))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) -2)) 2))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -1/8 1/2) -2)) 2) (cbrt.f64 (/.f64 x (fma.f64 x (fma.f64 x -1/8 1/2) 2))))) |
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x (fma.f64 x -1/8 1/2) 2))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -1/8 1/2) -2)) 2))) |
(*.f64 (/.f64 -1 (sqrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))) (/.f64 x (sqrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))))) |
(*.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) -2))) (/.f64 -1 (sqrt.f64 (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) -2)))) |
(/.f64 (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x (fma.f64 x -1/8 1/2) -2))) (sqrt.f64 (fma.f64 x (fma.f64 x -1/8 1/2) -2))) |
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))) 2)) (/.f64 x (cbrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2)))))) |
(*.f64 (/.f64 x (cbrt.f64 (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) -2))) (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) -2)) 2))) |
(/.f64 (/.f64 (neg.f64 x) (cbrt.f64 (fma.f64 x (fma.f64 x -1/8 1/2) -2))) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -1/8 1/2) -2)) 2)) |
(/.f64 (neg.f64 x) (*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -1/8 1/2) -2)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -1/8 1/2) -2)) 2))) |
(pow.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)) 1) |
(/.f64 x (fma.f64 x (fma.f64 x -1/8 1/2) 2)) |
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) 2) |
(/.f64 x (fma.f64 x (fma.f64 x -1/8 1/2) 2)) |
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) 3) |
(/.f64 x (fma.f64 x (fma.f64 x -1/8 1/2) 2)) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)) 3) 1/3) |
(/.f64 x (fma.f64 x (fma.f64 x -1/8 1/2) 2)) |
(pow.f64 (/.f64 (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2) x) -1) |
(/.f64 x (fma.f64 x (fma.f64 x -1/8 1/2) 2)) |
(neg.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) |
(/.f64 (neg.f64 x) (fma.f64 x (fma.f64 x -1/8 1/2) 2)) |
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)) 2)) |
(/.f64 x (fma.f64 x (fma.f64 x -1/8 1/2) 2)) |
(log.f64 (exp.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)))) |
(/.f64 x (fma.f64 x (fma.f64 x -1/8 1/2) 2)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))))) |
(/.f64 x (fma.f64 x (fma.f64 x -1/8 1/2) 2)) |
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)) 3)) |
(/.f64 x (fma.f64 x (fma.f64 x -1/8 1/2) 2)) |
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)))) |
(/.f64 x (fma.f64 x (fma.f64 x -1/8 1/2) 2)) |
(exp.f64 (log.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)))) |
(/.f64 x (fma.f64 x (fma.f64 x -1/8 1/2) 2)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) 1)) |
(/.f64 x (fma.f64 x (fma.f64 x -1/8 1/2) 2)) |
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)))) |
(/.f64 x (fma.f64 x (fma.f64 x -1/8 1/2) 2)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 1/2 x (*.f64 x (*.f64 x -1/8))) |
Compiled 20 to 13 computations (35% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (fma.f64 1/2 x (*.f64 x (*.f64 x -1/8))) |
| 0.0ms | x | @ | -inf | (fma.f64 1/2 x (*.f64 x (*.f64 x -1/8))) |
| 0.0ms | x | @ | 0 | (fma.f64 1/2 x (*.f64 x (*.f64 x -1/8))) |
| 1× | batch-egg-rewrite |
| 1646× | add-sqr-sqrt |
| 1622× | *-un-lft-identity |
| 1510× | add-cube-cbrt |
| 1492× | add-cbrt-cube |
| 172× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 182 | 19 |
| 2 | 2045 | 19 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 1/2 x (*.f64 x (*.f64 x -1/8))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -1/8)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (*.f64 x (*.f64 x -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 x) 1) (*.f64 x (*.f64 x -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 1/2 (*.f64 x -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) (sqrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) 2) (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/2 x) (*.f64 1/2 x)) (pow.f64 (*.f64 x (*.f64 x -1/8)) 2)) (-.f64 (*.f64 1/2 x) (*.f64 x (*.f64 x -1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 3) (pow.f64 (*.f64 x (*.f64 x -1/8)) 3)) (+.f64 (*.f64 (*.f64 1/2 x) (*.f64 1/2 x)) (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 (*.f64 1/2 x) (*.f64 x (*.f64 x -1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))))))) |
| 1× | egg-herbie |
| 1078× | associate-/l* |
| 882× | +-commutative |
| 828× | *-commutative |
| 574× | associate-+r+ |
| 544× | associate-/r* |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 798 |
| 1 | 181 | 654 |
| 2 | 847 | 630 |
| 3 | 3047 | 590 |
| 4 | 7599 | 590 |
| 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 (*.f64 x -1/8)) (*.f64 1/2 x)) |
(+.f64 (*.f64 1/2 x) (*.f64 x (*.f64 x -1/8))) |
(+.f64 (*.f64 (*.f64 1/2 x) 1) (*.f64 x (*.f64 x -1/8))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))) 1) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(*.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) 1) |
(*.f64 1 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) |
(*.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) (sqrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))) |
(*.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) 2) (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))) |
(/.f64 (-.f64 (*.f64 (*.f64 1/2 x) (*.f64 1/2 x)) (pow.f64 (*.f64 x (*.f64 x -1/8)) 2)) (-.f64 (*.f64 1/2 x) (*.f64 x (*.f64 x -1/8)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 3) (pow.f64 (*.f64 x (*.f64 x -1/8)) 3)) (+.f64 (*.f64 (*.f64 1/2 x) (*.f64 1/2 x)) (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 (*.f64 1/2 x) (*.f64 x (*.f64 x -1/8)))))) |
(pow.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) 1) |
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) 3) |
(pow.f64 (pow.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) 2)) |
(log.f64 (exp.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))))) |
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))) |
(exp.f64 (log.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))) |
| 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 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 1/2 x)) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(*.f64 -1/8 (pow.f64 x 2)) |
(*.f64 x (*.f64 x -1/8)) |
(+.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 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 1/2 x)) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(*.f64 -1/8 (pow.f64 x 2)) |
(*.f64 x (*.f64 x -1/8)) |
(+.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 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 1/2 x)) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(+.f64 (*.f64 x (*.f64 x -1/8)) (*.f64 1/2 x)) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(+.f64 (*.f64 1/2 x) (*.f64 x (*.f64 x -1/8))) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(+.f64 (*.f64 (*.f64 1/2 x) 1) (*.f64 x (*.f64 x -1/8))) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))) 1) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(*.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) 1) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(*.f64 1 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(*.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) (sqrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(*.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) 2)) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) 2) (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(/.f64 (-.f64 (*.f64 (*.f64 1/2 x) (*.f64 1/2 x)) (pow.f64 (*.f64 x (*.f64 x -1/8)) 2)) (-.f64 (*.f64 1/2 x) (*.f64 x (*.f64 x -1/8)))) |
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (*.f64 x (*.f64 x -1/8)) 2)) (-.f64 (*.f64 1/2 x) (*.f64 x (*.f64 x -1/8)))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 (*.f64 x (*.f64 x -1/8)) 2)) (*.f64 x (-.f64 1/2 (*.f64 x -1/8)))) |
(/.f64 (fma.f64 x (*.f64 x 1/4) (*.f64 (pow.f64 x 4) -1/64)) (*.f64 x (-.f64 1/2 (*.f64 x -1/8)))) |
(/.f64 x (/.f64 1 (fma.f64 x -1/8 1/2))) |
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 3) (pow.f64 (*.f64 x (*.f64 x -1/8)) 3)) (+.f64 (*.f64 (*.f64 1/2 x) (*.f64 1/2 x)) (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 (*.f64 1/2 x) (*.f64 x (*.f64 x -1/8)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 3) (pow.f64 (*.f64 x (*.f64 x -1/8)) 3)) (+.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 (*.f64 1/2 x) (*.f64 x (*.f64 x -1/8)))))) |
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 -1/512 (pow.f64 (*.f64 x x) 3))) (fma.f64 (*.f64 x 1/4) x (*.f64 (*.f64 x (*.f64 x -1/8)) (-.f64 (*.f64 x (*.f64 x -1/8)) (*.f64 1/2 x))))) |
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/512))) (fma.f64 x (*.f64 x 1/4) (*.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 x -1/8) -1/2)))) |
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 -1/512 (pow.f64 x 6))) (*.f64 (*.f64 x x) (+.f64 1/4 (*.f64 -1/8 (*.f64 x (fma.f64 x -1/8 -1/2)))))) |
(pow.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) 1) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) 2) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) 3) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(pow.f64 (pow.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) 3) 1/3) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) 2)) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(log.f64 (exp.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))))) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) 3)) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(exp.f64 (log.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) 1)) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
Compiled 16856 to 12774 computations (24.2% saved)
15 alts after pruning (7 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 873 | 5 | 878 |
| Fresh | 0 | 2 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 8 | 8 |
| Total | 874 | 15 | 889 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.3b | (/.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (/.f64 -1 x)) |
| ✓ | 22.5b | (/.f64 (neg.f64 x) (-.f64 -2 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))) |
| ✓ | 21.6b | (/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
| ✓ | 0.2b | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| ✓ | 22.8b | (/.f64 x 2) |
| ▶ | 21.7b | (/.f64 1 (/.f64 (+.f64 (*.f64 1/2 x) 2) x)) |
| ✓ | 0.3b | (/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)) |
| ▶ | 22.9b | (/.f64 1 (/.f64 2 x)) |
| 22.6b | (/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) | |
| ▶ | 21.7b | (/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
| ▶ | 23.2b | (+.f64 (*.f64 x (*.f64 x -1/8)) (*.f64 1/2 x)) |
| ✓ | 36.5b | (+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
| ✓ | 22.4b | (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
| ✓ | 23.2b | (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
| 60.7b | 2 |
Compiled 196 to 158 computations (19.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (+.f64 1 x)) |
| ✓ | 0.0b | (-.f64 -1 (sqrt.f64 (+.f64 1 x))) |
| ✓ | 0.1b | (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) |
| ✓ | 0.2b | (/.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (/.f64 -1 x)) |
Compiled 40 to 32 computations (20% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) |
| 1.0ms | x | @ | inf | (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) |
| 0.0ms | x | @ | inf | (/.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (/.f64 -1 x)) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (/.f64 -1 x)) |
| 0.0ms | x | @ | inf | (-.f64 -1 (sqrt.f64 (+.f64 1 x))) |
| 1× | batch-egg-rewrite |
| 1304× | associate-/l* |
| 1158× | associate-/r/ |
| 794× | distribute-rgt-in |
| 756× | distribute-lft-in |
| 538× | associate-/l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 86 |
| 1 | 269 | 68 |
| 2 | 3671 | 68 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (/.f64 -1 x)) |
(/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) |
(-.f64 -1 (sqrt.f64 (+.f64 1 x))) |
(sqrt.f64 (+.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2))) (cbrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (+.f64 -1 (neg.f64 x)) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2))) (cbrt.f64 (+.f64 1 x))) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (neg.f64 (+.f64 1 x)) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 0 (sqrt.f64 (+.f64 1 x))))) 1)))) (#(struct:change #<rule 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(sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1 (sqrt.f64 (neg.f64 x))) (*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -1 (pow.f64 (+.f64 1 x) 3/2))) (*.f64 (neg.f64 x) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) -1/2) (neg.f64 x)) (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) -1/2) -1) (*.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) -1/2) x))))) (#(struct:change #<rule 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-1 (pow.f64 (+.f64 1 x) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 x)) (neg.f64 (+.f64 -1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 x)) (*.f64 1 (neg.f64 (+.f64 -1 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 x)) (*.f64 -1 (+.f64 -1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (neg.f64 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x)))))))) |
| 1× | egg-herbie |
| 1602× | associate-*r* |
| 1310× | associate-*l* |
| 1012× | associate-/l* |
| 962× | associate-/r* |
| 832× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 683 | 11219 |
| 1 | 2070 | 10547 |
| 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))))) |
-1/2 |
(-.f64 (*.f64 1/8 x) 1/2) |
(-.f64 (+.f64 (*.f64 1/8 x) (*.f64 -1/16 (pow.f64 x 2))) 1/2) |
(-.f64 (+.f64 (*.f64 1/8 x) (+.f64 (*.f64 5/128 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 2)))) 1/2) |
-2 |
(-.f64 (*.f64 -1/2 x) 2) |
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -1/2 x)) 2) |
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) (*.f64 -1/16 (pow.f64 x 3)))) 2) |
1 |
(+.f64 (*.f64 1/2 x) 1) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3))))) |
(+.f64 -1 (sqrt.f64 (+.f64 1 x))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) -1) |
(+.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (+.f64 -1 (neg.f64 x)))) |
(+.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))) |
(+.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2))) (cbrt.f64 (+.f64 1 x))))) |
(+.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 (+.f64 1 x)))) |
(+.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (+.f64 -1 (neg.f64 x)) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))) |
(+.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))) |
(+.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2))) (cbrt.f64 (+.f64 1 x))) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))) |
(+.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (neg.f64 (+.f64 1 x)) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))) |
(-.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2) |
(-.f64 (exp.f64 (log.f64 (+.f64 0 (sqrt.f64 (+.f64 1 x))))) 1) |
(-.f64 (+.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1) |
(*.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 1 x)))) |
(*.f64 -1 (/.f64 -1 (/.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 x)) |
(*.f64 (/.f64 -1 x) (+.f64 x (*.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 x)))) |
(*.f64 (+.f64 -1 (sqrt.f64 (+.f64 1 x))) 1) |
(*.f64 (sqrt.f64 (+.f64 -1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (+.f64 -1 (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) -1/2) (*.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) -1/2) (neg.f64 x))) |
(*.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))))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) -2)) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) (neg.f64 x))) |
(*.f64 (/.f64 1 x) (*.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 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x) |
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 (neg.f64 x))) |
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (*.f64 1 (sqrt.f64 (neg.f64 x))) (*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (neg.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (-.f64 -1 (pow.f64 (+.f64 1 x) 3/2))) (*.f64 (neg.f64 x) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (*.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) -1/2) (neg.f64 x)) (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) -1/2)) |
(*.f64 (/.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) -1/2) -1) (*.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) -1/2) x)) |
(*.f64 (/.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) -1/2) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) (*.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) -1/2) (cbrt.f64 (neg.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) -2)) 1) (/.f64 1 (*.f64 (/.f64 -1 x) (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) -2)) -1) (*.f64 (/.f64 (/.f64 1 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) 1) x)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) -2)) (sqrt.f64 (/.f64 -1 x))) (/.f64 1 (*.f64 (sqrt.f64 (/.f64 -1 x)) (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) -2)) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) (cbrt.f64 (+.f64 -1 (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (/.f64 (neg.f64 x) (neg.f64 x)) (+.f64 -1 (sqrt.f64 (+.f64 1 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) -2)) (/.f64 -1 x)) (/.f64 1 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) -1/2)) |
(*.f64 (/.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 1 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (/.f64 1 (*.f64 (/.f64 -1 x) (neg.f64 x))) (+.f64 -1 (sqrt.f64 (+.f64 1 x)))) |
(*.f64 (/.f64 1 (*.f64 (/.f64 -1 x) (-.f64 -1 (pow.f64 (+.f64 1 x) 3/2)))) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (/.f64 1 (/.f64 -1 (*.f64 (cbrt.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) -2)) x))) (/.f64 1 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (/.f64 1 (*.f64 -1 (-.f64 -1 (pow.f64 (+.f64 1 x) 3/2)))) (*.f64 x (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (/.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (/.f64 -1 (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (/.f64 -1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (/.f64 (neg.f64 x) (-.f64 -1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) -1) |
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (-.f64 -1 (pow.f64 (+.f64 1 x) 3/2)))) (neg.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (/.f64 (neg.f64 x) (-.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (+.f64 1 x)))))) (+.f64 -1 (sqrt.f64 (+.f64 1 x)))) |
(*.f64 (/.f64 (neg.f64 x) (+.f64 -1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) 3))) (-.f64 (+.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (+.f64 1 x))))) (*.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (neg.f64 x))) (neg.f64 (+.f64 -1 (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) -1) (neg.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (/.f64 x (neg.f64 (-.f64 -1 (pow.f64 (+.f64 1 x) 3/2)))) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (/.f64 x (neg.f64 (neg.f64 x))) (+.f64 -1 (sqrt.f64 (+.f64 1 x)))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (neg.f64 x))) 1) (sqrt.f64 (neg.f64 x))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 -1)) (sqrt.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) 1) (cbrt.f64 (neg.f64 x))) |
(*.f64 (/.f64 (/.f64 1 (*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) -1) (cbrt.f64 x)) |
(*.f64 (/.f64 (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 1) (neg.f64 x)) |
(*.f64 (/.f64 (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) -1) x) |
(*.f64 (/.f64 (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) -1) (neg.f64 (neg.f64 x))) |
(*.f64 (/.f64 (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (/.f64 -1 (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (/.f64 -1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(pow.f64 (+.f64 -1 (sqrt.f64 (+.f64 1 x))) 1) |
(pow.f64 (sqrt.f64 (+.f64 -1 (sqrt.f64 (+.f64 1 x)))) 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) |
(pow.f64 (/.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 1 x)))) -1) |
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(/.f64 (sqrt.f64 (neg.f64 x)) (*.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) -1/2) (sqrt.f64 (+.f64 -1 (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) -1/2) (sqrt.f64 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (/.f64 1 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) 2)))) |
(/.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 -1 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 (sqrt.f64 (sqrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) (/.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) -1/2) (sqrt.f64 (sqrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 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 2 (-.f64 x (sqrt.f64 (+.f64 1 x)))) (cbrt.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 (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))) (/.f64 (/.f64 1 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) 2)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 (*.f64 1 (sqrt.f64 (neg.f64 x))) (*.f64 (+.f64 -1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (/.f64 -1 x)))) |
(/.f64 (/.f64 1 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) (*.f64 (+.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 -1 (cbrt.f64 x)))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) (/.f64 -1 (sqrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 (neg.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 (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 (neg.f64 (-.f64 -1 (pow.f64 (+.f64 1 x) 3/2))) (neg.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 (neg.f64 (-.f64 -1 (pow.f64 (+.f64 1 x) 3/2))) (*.f64 1 (neg.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 1 x))))))) |
(/.f64 (neg.f64 (-.f64 -1 (pow.f64 (+.f64 1 x) 3/2))) (*.f64 -1 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 (-.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (+.f64 1 x))))) (+.f64 -1 (sqrt.f64 (+.f64 1 x)))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) (*.f64 (+.f64 -1 (sqrt.f64 (+.f64 1 x))) (+.f64 2 x))) |
(/.f64 (+.f64 -1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) 3)) (-.f64 (+.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (+.f64 1 x))))) (*.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 (+.f64 -1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) 3)) (*.f64 1 (-.f64 (+.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (+.f64 1 x))))) (*.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))) |
(/.f64 (-.f64 -1 (pow.f64 (pow.f64 (+.f64 1 x) 3/2) 3)) (*.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 1 x)))) (+.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3)) (*.f64 -1 (pow.f64 (+.f64 1 x) 3/2))))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3)) (*.f64 (+.f64 -1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (+.f64 (+.f64 1 x) (pow.f64 (+.f64 1 x) 2))))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3)) (*.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 1 x)))) (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (+.f64 -1 (sqrt.f64 (+.f64 1 x))))) |
(/.f64 (neg.f64 (neg.f64 x)) (*.f64 1 (neg.f64 (+.f64 -1 (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 (neg.f64 (neg.f64 x)) (*.f64 -1 (+.f64 -1 (sqrt.f64 (+.f64 1 x))))) |
(pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 1) |
(pow.f64 (sqrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) 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) |
(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 (neg.f64 (sqrt.f64 (+.f64 1 x))))) |
(exp.f64 (log.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) |
(exp.f64 (*.f64 (log.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) 1)) |
(log1p.f64 (expm1.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1) |
(*.f64 1 (sqrt.f64 (+.f64 1 x))) |
(*.f64 (sqrt.f64 (+.f64 1 x)) 1) |
(*.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4)) |
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x))) |
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 x)))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 x))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2)) |
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 x))) |
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))) |
(pow.f64 (+.f64 1 x) 1/2) |
(pow.f64 (sqrt.f64 (+.f64 1 x)) 1) |
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2) |
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 3) |
(pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3) |
(fabs.f64 (sqrt.f64 (+.f64 1 x))) |
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x))))) |
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) |
(hypot.f64 1 (sqrt.f64 x)) |
(exp.f64 (*.f64 1/2 (log1p.f64 x))) |
(exp.f64 (*.f64 (log1p.f64 x) 1/2)) |
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1)) |
(log1p.f64 (expm1.f64 (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)) |
(+.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))))) |
-1/2 |
(-.f64 (*.f64 1/8 x) 1/2) |
(fma.f64 1/8 x -1/2) |
(-.f64 (+.f64 (*.f64 1/8 x) (*.f64 -1/16 (pow.f64 x 2))) 1/2) |
(+.f64 (fma.f64 1/8 x (*.f64 (*.f64 x x) -1/16)) -1/2) |
(+.f64 (*.f64 (*.f64 -1/16 x) x) (fma.f64 1/8 x -1/2)) |
(-.f64 (+.f64 (*.f64 1/8 x) (+.f64 (*.f64 5/128 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 2)))) 1/2) |
(+.f64 (fma.f64 1/8 x (fma.f64 5/128 (pow.f64 x 3) (*.f64 (*.f64 x x) -1/16))) -1/2) |
(+.f64 (fma.f64 5/128 (pow.f64 x 3) (*.f64 (*.f64 -1/16 x) x)) (fma.f64 1/8 x -1/2)) |
-2 |
(-.f64 (*.f64 -1/2 x) 2) |
(fma.f64 -1/2 x -2) |
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -1/2 x)) 2) |
(+.f64 (*.f64 (*.f64 x x) 1/8) (fma.f64 -1/2 x -2)) |
(+.f64 (fma.f64 -1/2 x -2) (*.f64 x (*.f64 x 1/8))) |
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) (*.f64 -1/16 (pow.f64 x 3)))) 2) |
(+.f64 (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/2 x (*.f64 (pow.f64 x 3) -1/16))) -2) |
(+.f64 -2 (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/2 x (*.f64 (pow.f64 x 3) -1/16)))) |
1 |
(+.f64 (*.f64 1/2 x) 1) |
(fma.f64 1/2 x 1) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1)) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 1)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 1) (*.f64 1/16 (pow.f64 x 3)))) |
(+.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 1)) (*.f64 1/16 (pow.f64 x 3))) |
(+.f64 -1 (sqrt.f64 (+.f64 1 x))) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) -1) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(+.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (+.f64 -1 (neg.f64 x)))) |
(*.f64 (+.f64 (-.f64 -1 x) 1) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 (neg.f64 x) 0)) |
(+.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 (+.f64 x 1)))) 1) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))) |
(+.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2))) (cbrt.f64 (+.f64 1 x))))) |
(*.f64 (+.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (cbrt.f64 (+.f64 x 1))) 1) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (cbrt.f64 (+.f64 x 1))))) |
(+.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 (+.f64 1 x)))) |
(*.f64 (+.f64 (-.f64 -1 x) 1) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 (neg.f64 x) 0)) |
(+.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (+.f64 -1 (neg.f64 x)) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (+.f64 (-.f64 -1 x) 1) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 (neg.f64 x) 0)) |
(+.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 (+.f64 x 1)))) 1) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))) |
(+.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2))) (cbrt.f64 (+.f64 1 x))) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (+.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (cbrt.f64 (+.f64 x 1))) 1) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (cbrt.f64 (+.f64 x 1))))) |
(+.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (neg.f64 (+.f64 1 x)) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (+.f64 (-.f64 -1 x) 1) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 (neg.f64 x) 0)) |
(-.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(-.f64 (exp.f64 (log.f64 (+.f64 0 (sqrt.f64 (+.f64 1 x))))) 1) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(-.f64 (+.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(*.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 1 x)))) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(*.f64 -1 (/.f64 -1 (/.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 1 x)))))) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(*.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 (sqrt.f64 (+.f64 1 x)))) (neg.f64 x)) |
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 -1 x) (+.f64 x (*.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 x)))) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(*.f64 (+.f64 -1 (sqrt.f64 (+.f64 1 x))) 1) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(*.f64 (sqrt.f64 (+.f64 -1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (+.f64 -1 (sqrt.f64 (+.f64 1 x))))) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(*.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) -1/2) (*.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) -1/2) (neg.f64 x))) |
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (cbrt.f64 (+.f64 -1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 -1 (sqrt.f64 (+.f64 1 x)))) 2)) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (sqrt.f64 (+.f64 1 x)))) 2) (cbrt.f64 (+.f64 -1 (sqrt.f64 (+.f64 1 x))))) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) -2)) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) (neg.f64 x))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) -2)) (*.f64 (neg.f64 x) (/.f64 1 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) -2)) (/.f64 (neg.f64 x) (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 1 x) (*.f64 x (+.f64 -1 (sqrt.f64 (+.f64 1 x))))) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) |
(*.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 (sqrt.f64 (+.f64 1 x)))) x) |
(*.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 (sqrt.f64 (+.f64 1 x)))) (neg.f64 (neg.f64 x))) |
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) |
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 1 (cbrt.f64 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2))) |
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(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x 1)))) |
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 x))) |
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1)) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1)) (sqrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))) |
(pow.f64 (+.f64 1 x) 1/2) |
(sqrt.f64 (+.f64 x 1)) |
(pow.f64 (sqrt.f64 (+.f64 1 x)) 1) |
(sqrt.f64 (+.f64 x 1)) |
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2) |
(sqrt.f64 (+.f64 x 1)) |
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 3) |
(sqrt.f64 (+.f64 x 1)) |
(pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3) |
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) |
(fabs.f64 (sqrt.f64 (+.f64 1 x))) |
(fabs.f64 (sqrt.f64 (+.f64 x 1))) |
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 x)))) |
(sqrt.f64 (+.f64 x 1)) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x))))) |
(sqrt.f64 (+.f64 x 1)) |
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2)) |
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) |
(sqrt.f64 (+.f64 x 1)) |
(hypot.f64 1 (sqrt.f64 x)) |
(exp.f64 (*.f64 1/2 (log1p.f64 x))) |
(pow.f64 (exp.f64 1/2) (log1p.f64 x)) |
(exp.f64 (*.f64 (log1p.f64 x) 1/2)) |
(pow.f64 (exp.f64 1/2) (log1p.f64 x)) |
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1)) |
(pow.f64 (exp.f64 1/2) (log1p.f64 x)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x)))) |
(sqrt.f64 (+.f64 x 1)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.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) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.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 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 x (*.f64 x -1/8)) (*.f64 1/2 x)) |
Compiled 24 to 16 computations (33.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (+.f64 (*.f64 x (*.f64 x -1/8)) (*.f64 1/2 x)) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 x (*.f64 x -1/8)) (*.f64 1/2 x)) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 x (*.f64 x -1/8)) (*.f64 1/2 x)) |
| 1× | batch-egg-rewrite |
| 1986× | add-sqr-sqrt |
| 1956× | *-un-lft-identity |
| 1838× | add-cube-cbrt |
| 1822× | add-cbrt-cube |
| 188× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 195 | 19 |
| 2 | 2464 | 19 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 x (*.f64 x -1/8)) (*.f64 1/2 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 x (-.f64 (*.f64 x -1/8) 1/2))) (/.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x (-.f64 (*.f64 x -1/8) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 (*.f64 x -1/8) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 1/2 (*.f64 x -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2))) (sqrt.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2))) 2) (cbrt.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 (*.f64 x x) 1/4)) (/.f64 1 (*.f64 x (-.f64 (*.f64 x -1/8) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (*.f64 x 1/2) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x -1/8)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (-.f64 (*.f64 x -1/8) 1/2)) (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 (*.f64 x x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x -1/8))))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (*.f64 x 1/2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 (*.f64 x x) 1/4)) (*.f64 x (-.f64 (*.f64 x -1/8) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (*.f64 x 1/2) 3)) (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x -1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (*.f64 x 1/2) 3)) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 x (*.f64 (*.f64 x -1/8) (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (*.f64 x (*.f64 x -1/8)) 2)) (-.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x -1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 (*.f64 x x) 1/4))) (neg.f64 (*.f64 x (-.f64 (*.f64 x -1/8) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (*.f64 x 1/2) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x -1/8)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x -1/8) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (*.f64 x (*.f64 x -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -1/8) x (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (*.f64 x (*.f64 x -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x -1/8)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 1/2) (*.f64 x (*.f64 x -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 x (*.f64 x -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -1/8)) (*.f64 x (sqrt.f64 -1/8)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (*.f64 x (*.f64 x -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) 2) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -1/8 (*.f64 x 1/2)))))) |
| 1× | egg-herbie |
| 1294× | distribute-lft-neg-in |
| 874× | times-frac |
| 752× | associate-+r+ |
| 646× | associate-+l+ |
| 564× | associate-/l* |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 114 | 1508 |
| 1 | 303 | 1344 |
| 2 | 1297 | 1294 |
| 3 | 5361 | 1274 |
| 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 (exp.f64 (log1p.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2)))) 1) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 x (-.f64 (*.f64 x -1/8) 1/2))) (/.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x (-.f64 (*.f64 x -1/8) 1/2)))) |
(*.f64 x (+.f64 (*.f64 x -1/8) 1/2)) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(*.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2)) 1) |
(*.f64 1 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2))) |
(*.f64 (sqrt.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2))) (sqrt.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2)))) |
(*.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2))) 2) (cbrt.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 (*.f64 x x) 1/4)) (/.f64 1 (*.f64 x (-.f64 (*.f64 x -1/8) 1/2)))) |
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (*.f64 x 1/2) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x -1/8))))))) |
(/.f64 1 (/.f64 (*.f64 x (-.f64 (*.f64 x -1/8) 1/2)) (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 (*.f64 x x) 1/4)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x -1/8))))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (*.f64 x 1/2) 3)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 (*.f64 x x) 1/4)) (*.f64 x (-.f64 (*.f64 x -1/8) 1/2))) |
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (*.f64 x 1/2) 3)) (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x -1/8)))))) |
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (*.f64 x 1/2) 3)) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 x (*.f64 (*.f64 x -1/8) (*.f64 x 1/2)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (*.f64 x (*.f64 x -1/8)) 2)) (-.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x -1/8)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 (*.f64 x x) 1/4))) (neg.f64 (*.f64 x (-.f64 (*.f64 x -1/8) 1/2)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (*.f64 x 1/2) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x -1/8))))))) |
(pow.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2)) 1) |
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2))) 3) |
(pow.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2)) 2)) |
(log.f64 (exp.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2))))) |
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2)))) |
(exp.f64 (log.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2)))) |
(fma.f64 x (*.f64 x -1/8) (*.f64 x 1/2)) |
(fma.f64 x 1/2 (*.f64 x (*.f64 x -1/8))) |
(fma.f64 (*.f64 x -1/8) x (*.f64 x 1/2)) |
(fma.f64 1/2 x (*.f64 x (*.f64 x -1/8))) |
(fma.f64 1 (*.f64 x (*.f64 x -1/8)) (*.f64 x 1/2)) |
(fma.f64 1 (*.f64 x 1/2) (*.f64 x (*.f64 x -1/8))) |
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 x (*.f64 x -1/8))) |
(fma.f64 (*.f64 x (sqrt.f64 -1/8)) (*.f64 x (sqrt.f64 -1/8)) (*.f64 x 1/2)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (*.f64 x (*.f64 x -1/8))) |
(fma.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) 2) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (*.f64 x 1/2)) |
(fma.f64 (*.f64 x x) -1/8 (*.f64 x 1/2)) |
| Outputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.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)) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(*.f64 -1/8 (pow.f64 x 2)) |
(*.f64 x (*.f64 x -1/8)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.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)) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(*.f64 -1/8 (pow.f64 x 2)) |
(*.f64 x (*.f64 x -1/8)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.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)) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2)))) 1) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 x (-.f64 (*.f64 x -1/8) 1/2))) (/.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x (-.f64 (*.f64 x -1/8) 1/2)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 x (*.f64 x 1/4))) (*.f64 x (fma.f64 x -1/8 -1/2))) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 x x) -1/4)) (*.f64 x (fma.f64 x -1/8 -1/2))) |
(/.f64 (+.f64 (*.f64 1/64 (/.f64 (pow.f64 x 4) x)) (*.f64 x -1/4)) (fma.f64 x -1/8 -1/2)) |
(*.f64 (/.f64 x (fma.f64 x -1/8 -1/2)) (-.f64 -1/4 (/.f64 (*.f64 (*.f64 x x) 1/64) -1))) |
(*.f64 x (+.f64 (*.f64 x -1/8) 1/2)) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(*.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2)) 1) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(*.f64 1 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(*.f64 (sqrt.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2))) (sqrt.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2)))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(*.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2))) 2)) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2))) 2) (cbrt.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2)))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(*.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 (*.f64 x x) 1/4)) (/.f64 1 (*.f64 x (-.f64 (*.f64 x -1/8) 1/2)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 x (*.f64 x 1/4))) (*.f64 x (fma.f64 x -1/8 -1/2))) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 x x) -1/4)) (*.f64 x (fma.f64 x -1/8 -1/2))) |
(/.f64 (+.f64 (*.f64 1/64 (/.f64 (pow.f64 x 4) x)) (*.f64 x -1/4)) (fma.f64 x -1/8 -1/2)) |
(*.f64 (/.f64 x (fma.f64 x -1/8 -1/2)) (-.f64 -1/4 (/.f64 (*.f64 (*.f64 x x) 1/64) -1))) |
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (*.f64 x 1/2) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x -1/8))))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) -1/512 (*.f64 (pow.f64 x 3) 1/8)) 1) (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 x (*.f64 1/2 (*.f64 x (-.f64 1/2 (*.f64 x -1/8))))))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/512 (*.f64 (pow.f64 x 3) 1/8)) (fma.f64 x (*.f64 1/2 (*.f64 x (+.f64 1/2 (*.f64 1/8 x)))) (*.f64 (pow.f64 x 4) 1/64))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/512 (*.f64 (pow.f64 x 3) 1/8)) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x -1/16) 1/4)))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/512 (*.f64 (pow.f64 x 3) 1/8)) (*.f64 (*.f64 x x) (+.f64 1/4 (*.f64 (*.f64 x -1/8) (fma.f64 x -1/8 -1/2))))) |
(/.f64 1 (/.f64 (*.f64 x (-.f64 (*.f64 x -1/8) 1/2)) (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 (*.f64 x x) 1/4)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 x (*.f64 x 1/4))) (*.f64 x (fma.f64 x -1/8 -1/2))) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 x x) -1/4)) (*.f64 x (fma.f64 x -1/8 -1/2))) |
(/.f64 (+.f64 (*.f64 1/64 (/.f64 (pow.f64 x 4) x)) (*.f64 x -1/4)) (fma.f64 x -1/8 -1/2)) |
(*.f64 (/.f64 x (fma.f64 x -1/8 -1/2)) (-.f64 -1/4 (/.f64 (*.f64 (*.f64 x x) 1/64) -1))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x -1/8))))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (*.f64 x 1/2) 3)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) -1/512 (*.f64 (pow.f64 x 3) 1/8)) 1) (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 x (*.f64 1/2 (*.f64 x (-.f64 1/2 (*.f64 x -1/8))))))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/512 (*.f64 (pow.f64 x 3) 1/8)) (fma.f64 x (*.f64 1/2 (*.f64 x (+.f64 1/2 (*.f64 1/8 x)))) (*.f64 (pow.f64 x 4) 1/64))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/512 (*.f64 (pow.f64 x 3) 1/8)) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x -1/16) 1/4)))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/512 (*.f64 (pow.f64 x 3) 1/8)) (*.f64 (*.f64 x x) (+.f64 1/4 (*.f64 (*.f64 x -1/8) (fma.f64 x -1/8 -1/2))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 (*.f64 x x) 1/4)) (*.f64 x (-.f64 (*.f64 x -1/8) 1/2))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 x (*.f64 x 1/4))) (*.f64 x (fma.f64 x -1/8 -1/2))) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 x x) -1/4)) (*.f64 x (fma.f64 x -1/8 -1/2))) |
(/.f64 (+.f64 (*.f64 1/64 (/.f64 (pow.f64 x 4) x)) (*.f64 x -1/4)) (fma.f64 x -1/8 -1/2)) |
(*.f64 (/.f64 x (fma.f64 x -1/8 -1/2)) (-.f64 -1/4 (/.f64 (*.f64 (*.f64 x x) 1/64) -1))) |
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (*.f64 x 1/2) 3)) (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x -1/8)))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) -1/512 (*.f64 (pow.f64 x 3) 1/8)) 1) (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 x (*.f64 1/2 (*.f64 x (-.f64 1/2 (*.f64 x -1/8))))))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/512 (*.f64 (pow.f64 x 3) 1/8)) (fma.f64 x (*.f64 1/2 (*.f64 x (+.f64 1/2 (*.f64 1/8 x)))) (*.f64 (pow.f64 x 4) 1/64))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/512 (*.f64 (pow.f64 x 3) 1/8)) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x -1/16) 1/4)))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/512 (*.f64 (pow.f64 x 3) 1/8)) (*.f64 (*.f64 x x) (+.f64 1/4 (*.f64 (*.f64 x -1/8) (fma.f64 x -1/8 -1/2))))) |
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (*.f64 x 1/2) 3)) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 x (*.f64 (*.f64 x -1/8) (*.f64 x 1/2)))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) -1/512 (*.f64 (pow.f64 x 3) 1/8)) 1) (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 x (*.f64 1/2 (*.f64 x (-.f64 1/2 (*.f64 x -1/8))))))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/512 (*.f64 (pow.f64 x 3) 1/8)) (fma.f64 x (*.f64 1/2 (*.f64 x (+.f64 1/2 (*.f64 1/8 x)))) (*.f64 (pow.f64 x 4) 1/64))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/512 (*.f64 (pow.f64 x 3) 1/8)) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x -1/16) 1/4)))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/512 (*.f64 (pow.f64 x 3) 1/8)) (*.f64 (*.f64 x x) (+.f64 1/4 (*.f64 (*.f64 x -1/8) (fma.f64 x -1/8 -1/2))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (*.f64 x (*.f64 x -1/8)) 2)) (-.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x -1/8)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 x (*.f64 x 1/4))) (*.f64 x (fma.f64 x -1/8 -1/2))) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 x x) -1/4)) (*.f64 x (fma.f64 x -1/8 -1/2))) |
(/.f64 (+.f64 (*.f64 1/64 (/.f64 (pow.f64 x 4) x)) (*.f64 x -1/4)) (fma.f64 x -1/8 -1/2)) |
(*.f64 (/.f64 x (fma.f64 x -1/8 -1/2)) (-.f64 -1/4 (/.f64 (*.f64 (*.f64 x x) 1/64) -1))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 (*.f64 x x) 1/4))) (neg.f64 (*.f64 x (-.f64 (*.f64 x -1/8) 1/2)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 x (*.f64 x 1/4))) (*.f64 x (fma.f64 x -1/8 -1/2))) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 x x) -1/4)) (*.f64 x (fma.f64 x -1/8 -1/2))) |
(/.f64 (+.f64 (*.f64 1/64 (/.f64 (pow.f64 x 4) x)) (*.f64 x -1/4)) (fma.f64 x -1/8 -1/2)) |
(*.f64 (/.f64 x (fma.f64 x -1/8 -1/2)) (-.f64 -1/4 (/.f64 (*.f64 (*.f64 x x) 1/64) -1))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (*.f64 x 1/2) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x -1/8))))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) -1/512 (*.f64 (pow.f64 x 3) 1/8)) 1) (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 x (*.f64 1/2 (*.f64 x (-.f64 1/2 (*.f64 x -1/8))))))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/512 (*.f64 (pow.f64 x 3) 1/8)) (fma.f64 x (*.f64 1/2 (*.f64 x (+.f64 1/2 (*.f64 1/8 x)))) (*.f64 (pow.f64 x 4) 1/64))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/512 (*.f64 (pow.f64 x 3) 1/8)) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x -1/16) 1/4)))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/512 (*.f64 (pow.f64 x 3) 1/8)) (*.f64 (*.f64 x x) (+.f64 1/4 (*.f64 (*.f64 x -1/8) (fma.f64 x -1/8 -1/2))))) |
(pow.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2)) 1) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2))) 2) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2))) 3) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(pow.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2)) 3) 1/3) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2)) 2)) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(log.f64 (exp.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2)))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2))))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2)) 3)) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2)))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(exp.f64 (log.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2)))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2))) 1)) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 (*.f64 x -1/8) 1/2)))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(fma.f64 x (*.f64 x -1/8) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(fma.f64 x 1/2 (*.f64 x (*.f64 x -1/8))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(fma.f64 (*.f64 x -1/8) x (*.f64 x 1/2)) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(fma.f64 1/2 x (*.f64 x (*.f64 x -1/8))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(fma.f64 1 (*.f64 x (*.f64 x -1/8)) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(fma.f64 1 (*.f64 x 1/2) (*.f64 x (*.f64 x -1/8))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 x (*.f64 x -1/8))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(fma.f64 (*.f64 x (sqrt.f64 -1/8)) (*.f64 x (sqrt.f64 -1/8)) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (*.f64 x (*.f64 x -1/8))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(fma.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) 2) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (*.f64 x 1/2)) |
(fma.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) 2) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (*.f64 1/2 x)) |
(+.f64 (*.f64 1/2 x) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) 3)) |
(fma.f64 1/2 x (*.f64 -1/8 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3))) |
(fma.f64 (*.f64 x x) -1/8 (*.f64 x 1/2)) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 (*.f64 1/2 x) 2) x) |
| ✓ | 0.2b | (/.f64 1 (/.f64 (+.f64 (*.f64 1/2 x) 2) x)) |
Compiled 29 to 22 computations (24.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 (*.f64 1/2 x) 2) x) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 (*.f64 1/2 x) 2) x) |
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 (*.f64 1/2 x) 2) x) |
| 0.0ms | x | @ | 0 | (/.f64 1 (/.f64 (+.f64 (*.f64 1/2 x) 2) x)) |
| 0.0ms | x | @ | inf | (/.f64 1 (/.f64 (+.f64 (*.f64 1/2 x) 2) x)) |
| 1× | batch-egg-rewrite |
| 1430× | associate-*r/ |
| 1254× | associate-/r* |
| 1082× | associate-*l/ |
| 932× | *-commutative |
| 814× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 36 |
| 1 | 221 | 30 |
| 2 | 2803 | 30 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 (+.f64 (*.f64 1/2 x) 2) x)) |
(/.f64 (+.f64 (*.f64 1/2 x) 2) x) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) (*.f64 1/2 x)) (*.f64 (/.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) 2) (*.f64 (/.f64 1 x) (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 1/2 x 2) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 1/2 x 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 x 2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 1/2 x 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 x 2)) (/.f64 (sqrt.f64 (fma.f64 1/2 x 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) (sqrt.f64 (/.f64 (fma.f64 1/2 x 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) (/.f64 (cbrt.f64 (fma.f64 1/2 x 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 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(sqrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) 1) (sqrt.f64 (/.f64 (fma.f64 1/2 x 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) 2) 1) (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) x) (cbrt.f64 (fma.f64 1/2 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2))) (cbrt.f64 (fma.f64 1/2 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 (fma.f64 1/2 x 2) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) 2) -1) (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) -4) x) (+.f64 (*.f64 (*.f64 x x) 1/4) -4)) (fma.f64 1/2 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) -4) x) (-.f64 (pow.f64 (*.f64 1/2 x) 3) 8)) (+.f64 (*.f64 (*.f64 x x) 1/4) (+.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 8 (pow.f64 (*.f64 1/2 x) 3)) x) (-.f64 (*.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (*.f64 x x) 1/4)) (*.f64 (-.f64 4 x) (-.f64 4 x)))) (+.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) -4) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 8 (pow.f64 (*.f64 1/2 x) 3)) x) (+.f64 (pow.f64 (*.f64 (*.f64 x x) 1/4) 3) (pow.f64 (-.f64 4 x) 3))) (+.f64 (*.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (*.f64 x x) 1/4)) (-.f64 (*.f64 (-.f64 4 x) (-.f64 4 x)) (*.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 4 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 1/2 x 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 1/2 x 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 1/2 x 2) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 1/2 x 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 x 2) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 1/2 x 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 1/2 x 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 x 2) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/2 x 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 1/2 x 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 1/2 x 2) x))))))) |
| 1× | egg-herbie |
| 1670× | distribute-lft-in |
| 1666× | distribute-rgt-in |
| 826× | associate-/r/ |
| 676× | associate-/l/ |
| 424× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 345 | 3813 |
| 1 | 954 | 3721 |
| 2 | 3855 | 3721 |
| 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 2 x) |
(+.f64 1/2 (*.f64 2 (/.f64 1 x))) |
(+.f64 1/2 (*.f64 2 (/.f64 1 x))) |
(+.f64 1/2 (*.f64 2 (/.f64 1 x))) |
1/2 |
(+.f64 1/2 (*.f64 2 (/.f64 1 x))) |
(+.f64 1/2 (*.f64 2 (/.f64 1 x))) |
(+.f64 1/2 (*.f64 2 (/.f64 1 x))) |
1/2 |
(+.f64 1/2 (*.f64 2 (/.f64 1 x))) |
(+.f64 1/2 (*.f64 2 (/.f64 1 x))) |
(+.f64 1/2 (*.f64 2 (/.f64 1 x))) |
(+.f64 (*.f64 (/.f64 x (+.f64 (*.f64 (*.f64 x x) 1/4) -4)) (*.f64 1/2 x)) (*.f64 (/.f64 x (+.f64 (*.f64 (*.f64 x x) 1/4) -4)) -2)) |
(+.f64 (*.f64 (/.f64 x (+.f64 8 (pow.f64 (*.f64 1/2 x) 3))) (*.f64 (*.f64 x x) 1/4)) (*.f64 (/.f64 x (+.f64 8 (pow.f64 (*.f64 1/2 x) 3))) (-.f64 4 x))) |
(+.f64 (*.f64 (/.f64 x (+.f64 8 (pow.f64 (*.f64 1/2 x) 3))) (-.f64 4 x)) (*.f64 (/.f64 x (+.f64 8 (pow.f64 (*.f64 1/2 x) 3))) (*.f64 (*.f64 x x) 1/4))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 1/2 x 2)))) 1) |
(*.f64 1 (/.f64 x (fma.f64 1/2 x 2))) |
(*.f64 x (/.f64 1 (fma.f64 1/2 x 2))) |
(*.f64 (/.f64 x (fma.f64 1/2 x 2)) 1) |
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (fma.f64 1/2 x 2))) |
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 1/2 x 2))) (sqrt.f64 (/.f64 x (fma.f64 1/2 x 2)))) |
(*.f64 (cbrt.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 1/2 x 2))) |
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 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))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) 2) (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2)))) |
(*.f64 (/.f64 1 (fma.f64 1/2 x 2)) x) |
(*.f64 (/.f64 1 (fma.f64 1/2 x 2)) (pow.f64 (/.f64 1 x) -1)) |
(*.f64 (fma.f64 1/2 x -2) (/.f64 x (+.f64 (*.f64 (*.f64 x x) 1/4) -4))) |
(*.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 4 x)) (/.f64 x (+.f64 8 (pow.f64 (*.f64 1/2 x) 3)))) |
(*.f64 (neg.f64 x) (/.f64 -1 (fma.f64 1/2 x 2))) |
(*.f64 -1 (/.f64 x (-.f64 -2 (*.f64 1/2 x)))) |
(*.f64 -1 (neg.f64 (/.f64 x (fma.f64 1/2 x 2)))) |
(*.f64 (/.f64 (sqrt.f64 x) (fma.f64 1/2 x 2)) (sqrt.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) (fma.f64 1/2 x 2)) (/.f64 (sqrt.f64 x) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 1/2 x 2)) (cbrt.f64 x)) |
(*.f64 (/.f64 x (-.f64 -2 (*.f64 1/2 x))) -1) |
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 1/2 x 2))) (/.f64 x (sqrt.f64 (fma.f64 1/2 x 2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 1/2 x 2)))) |
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 1/2 x 2))) (/.f64 1 (sqrt.f64 (fma.f64 1/2 x 2)))) |
(*.f64 (/.f64 x (cbrt.f64 (fma.f64 1/2 x 2))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2))) |
(*.f64 (/.f64 -1 (fma.f64 1/2 x 2)) (neg.f64 x)) |
(*.f64 (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/4) -4)) (*.f64 x (fma.f64 1/2 x -2))) |
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 (*.f64 1/2 x) 3))) (*.f64 x (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 4 x)))) |
(*.f64 (/.f64 x (+.f64 (*.f64 (*.f64 x x) 1/4) -4)) (fma.f64 1/2 x -2)) |
(*.f64 (/.f64 x (+.f64 8 (pow.f64 (*.f64 1/2 x) 3))) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 4 x))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 1/2 x 2))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 1/2 x 2)))) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 1/2 x 2))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 1/2 x 2))) |
(*.f64 (/.f64 (cbrt.f64 x) (fma.f64 1/2 x 2)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 1/2 x 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 1/2 x 2)))) |
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 1/2 x 2))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 1/2 x 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2)) (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2)))) |
(*.f64 (pow.f64 (/.f64 1 x) -1) (/.f64 1 (fma.f64 1/2 x 2))) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) -1) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) 2) -1)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 x (fma.f64 1/2 x 2))) 1) (sqrt.f64 (/.f64 x (fma.f64 1/2 x 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) 2) 1) (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) 2) (cbrt.f64 (fma.f64 1/2 x 2))) (cbrt.f64 x)) |
(*.f64 (/.f64 1 (/.f64 (fma.f64 1/2 x 2) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (/.f64 1 (neg.f64 (-.f64 -2 (*.f64 1/2 x)))) (neg.f64 (neg.f64 x))) |
(*.f64 (/.f64 x (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) -4))) (neg.f64 (fma.f64 1/2 x -2))) |
(*.f64 (/.f64 x (neg.f64 (+.f64 8 (pow.f64 (*.f64 1/2 x) 3)))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 4 x)))) |
(*.f64 (/.f64 x (-.f64 4 (*.f64 (*.f64 x x) 1/4))) (-.f64 2 (*.f64 1/2 x))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 x (fma.f64 1/2 x 2))) (sqrt.f64 (-.f64 -2 (*.f64 1/2 x)))) (sqrt.f64 (neg.f64 x))) |
(*.f64 (/.f64 (/.f64 1 (fma.f64 1/2 x 2)) -1) (neg.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (fma.f64 1/2 x 2)) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (fma.f64 1/2 x 2)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) -4))) (fma.f64 1/2 x -2)) |
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (+.f64 8 (pow.f64 (*.f64 1/2 x) 3)))) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 4 x))) |
(*.f64 (/.f64 -1 (neg.f64 (-.f64 -2 (*.f64 1/2 x)))) (neg.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) 2) (cbrt.f64 (-.f64 -2 (*.f64 1/2 x)))) (cbrt.f64 (neg.f64 x))) |
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (fma.f64 1/2 x 2))) (sqrt.f64 (+.f64 8 (pow.f64 (*.f64 1/2 x) 3)))) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 4 x)))) |
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (fma.f64 1/2 x 2))) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) -4))) (sqrt.f64 (fma.f64 1/2 x -2))) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 (*.f64 1/2 x) 3)))) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 4 x)))) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2)) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) -4))) (cbrt.f64 (fma.f64 1/2 x -2))) |
(pow.f64 (/.f64 (fma.f64 1/2 x 2) x) -1) |
(pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 1) |
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 1/2 x 2))) 2) |
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) 3) |
(pow.f64 (pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 3) 1/3) |
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 2)) |
(log.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 1/2 x 2))))) |
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 1/2 x 2)))) |
(exp.f64 (log.f64 (/.f64 x (fma.f64 1/2 x 2)))) |
(exp.f64 (-.f64 (log.f64 x) (log.f64 (fma.f64 1/2 x 2)))) |
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 1/2 x 2)))) |
(+.f64 (*.f64 (/.f64 1 x) (*.f64 1/2 x)) (*.f64 (/.f64 1 x) 2)) |
(+.f64 (*.f64 (/.f64 1 x) 2) (*.f64 (/.f64 1 x) (*.f64 1/2 x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 1/2 x 2) x))) 1) |
(*.f64 1 (/.f64 (fma.f64 1/2 x 2) x)) |
(*.f64 (fma.f64 1/2 x 2) (/.f64 1 x)) |
(*.f64 (/.f64 (fma.f64 1/2 x 2) x) 1) |
(*.f64 (sqrt.f64 (fma.f64 1/2 x 2)) (/.f64 (sqrt.f64 (fma.f64 1/2 x 2)) x)) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) (sqrt.f64 (/.f64 (fma.f64 1/2 x 2) x))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) (/.f64 (cbrt.f64 (fma.f64 1/2 x 2)) x)) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) 2)) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) 2) (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x))) |
(*.f64 (/.f64 1 x) (fma.f64 1/2 x 2)) |
(*.f64 (-.f64 -2 (*.f64 1/2 x)) (/.f64 -1 x)) |
(*.f64 -1 (/.f64 (fma.f64 1/2 x 2) (neg.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 x 2)) x) (sqrt.f64 (fma.f64 1/2 x 2))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 x 2)) x) (/.f64 (sqrt.f64 (fma.f64 1/2 x 2)) 1)) |
(*.f64 (/.f64 (cbrt.f64 (fma.f64 1/2 x 2)) x) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2)) |
(*.f64 (/.f64 (cbrt.f64 (fma.f64 1/2 x 2)) x) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) 1)) |
(*.f64 (/.f64 (fma.f64 1/2 x 2) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 1/2 x 2) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 1/2 x 2) (cbrt.f64 x))) |
(*.f64 (/.f64 (fma.f64 1/2 x 2) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 -1 x) (-.f64 -2 (*.f64 1/2 x))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 x 2)) 1) (/.f64 (sqrt.f64 (fma.f64 1/2 x 2)) x)) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 x 2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (fma.f64 1/2 x 2)) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 x 2)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (fma.f64 1/2 x 2)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 1/2 x 2)) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 1/2 x 2)) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (fma.f64 1/2 x 2)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) 2)) (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) 1) (sqrt.f64 (/.f64 (fma.f64 1/2 x 2) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) 2) 1) (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) x) (cbrt.f64 (fma.f64 1/2 x 2))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2))) (cbrt.f64 (fma.f64 1/2 x 2))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 (fma.f64 1/2 x 2) (neg.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) 2) -1) (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) (neg.f64 x)))) |
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) -4) x) (+.f64 (*.f64 (*.f64 x x) 1/4) -4)) (fma.f64 1/2 x 2)) |
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) -4) x) (-.f64 (pow.f64 (*.f64 1/2 x) 3) 8)) (+.f64 (*.f64 (*.f64 x x) 1/4) (+.f64 x 4))) |
(*.f64 (/.f64 (/.f64 (+.f64 8 (pow.f64 (*.f64 1/2 x) 3)) x) (-.f64 (*.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (*.f64 x x) 1/4)) (*.f64 (-.f64 4 x) (-.f64 4 x)))) (+.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) -4) x)) |
(*.f64 (/.f64 (/.f64 (+.f64 8 (pow.f64 (*.f64 1/2 x) 3)) x) (+.f64 (pow.f64 (*.f64 (*.f64 x x) 1/4) 3) (pow.f64 (-.f64 4 x) 3))) (+.f64 (*.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (*.f64 x x) 1/4)) (-.f64 (*.f64 (-.f64 4 x) (-.f64 4 x)) (*.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 4 x))))) |
(pow.f64 (/.f64 (fma.f64 1/2 x 2) x) 1) |
(pow.f64 (/.f64 x (fma.f64 1/2 x 2)) -1) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) 3) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 1/2 x 2) x) 3) 1/3) |
(neg.f64 (/.f64 (fma.f64 1/2 x 2) (neg.f64 x))) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 x 2) x) 2)) |
(log.f64 (exp.f64 (/.f64 (fma.f64 1/2 x 2) x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 1/2 x 2) x)))) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 x 2) x) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/2 x 2) x))) |
(exp.f64 (log.f64 (/.f64 (fma.f64 1/2 x 2) x))) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 1/2 x 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 -1/8 (*.f64 x x))) |
(+.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)))) |
(+.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)))) |
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 (+.f64 2 (/.f64 -8 x)) (/.f64 32 (*.f64 x x))) |
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 2 (/.f64 32 (*.f64 x x))) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3)))) |
(-.f64 (+.f64 (+.f64 2 (/.f64 -8 x)) (/.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 (+.f64 2 (/.f64 -8 x)) (/.f64 32 (*.f64 x x))) |
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 2 (/.f64 32 (*.f64 x x))) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3)))) |
(-.f64 (+.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 32 (*.f64 x x))) (/.f64 128 (pow.f64 x 3))) |
(/.f64 2 x) |
(+.f64 1/2 (*.f64 2 (/.f64 1 x))) |
(+.f64 1/2 (/.f64 2 x)) |
(+.f64 1/2 (*.f64 2 (/.f64 1 x))) |
(+.f64 1/2 (/.f64 2 x)) |
(+.f64 1/2 (*.f64 2 (/.f64 1 x))) |
(+.f64 1/2 (/.f64 2 x)) |
1/2 |
(+.f64 1/2 (*.f64 2 (/.f64 1 x))) |
(+.f64 1/2 (/.f64 2 x)) |
(+.f64 1/2 (*.f64 2 (/.f64 1 x))) |
(+.f64 1/2 (/.f64 2 x)) |
(+.f64 1/2 (*.f64 2 (/.f64 1 x))) |
(+.f64 1/2 (/.f64 2 x)) |
1/2 |
(+.f64 1/2 (*.f64 2 (/.f64 1 x))) |
(+.f64 1/2 (/.f64 2 x)) |
(+.f64 1/2 (*.f64 2 (/.f64 1 x))) |
(+.f64 1/2 (/.f64 2 x)) |
(+.f64 1/2 (*.f64 2 (/.f64 1 x))) |
(+.f64 1/2 (/.f64 2 x)) |
(+.f64 (*.f64 (/.f64 x (+.f64 (*.f64 (*.f64 x x) 1/4) -4)) (*.f64 1/2 x)) (*.f64 (/.f64 x (+.f64 (*.f64 (*.f64 x x) 1/4) -4)) -2)) |
(*.f64 (/.f64 x (fma.f64 (*.f64 x x) 1/4 -4)) (fma.f64 1/2 x -2)) |
(/.f64 (*.f64 x (fma.f64 1/2 x -2)) (fma.f64 x (*.f64 x 1/4) -4)) |
(+.f64 (*.f64 (/.f64 x (+.f64 8 (pow.f64 (*.f64 1/2 x) 3))) (*.f64 (*.f64 x x) 1/4)) (*.f64 (/.f64 x (+.f64 8 (pow.f64 (*.f64 1/2 x) 3))) (-.f64 4 x))) |
(*.f64 (/.f64 x (+.f64 8 (*.f64 1/8 (pow.f64 x 3)))) (fma.f64 (*.f64 x x) 1/4 (-.f64 4 x))) |
(*.f64 (/.f64 x (fma.f64 1/8 (pow.f64 x 3) 8)) (-.f64 (fma.f64 x (*.f64 x 1/4) 4) x)) |
(+.f64 (*.f64 (/.f64 x (+.f64 8 (pow.f64 (*.f64 1/2 x) 3))) (-.f64 4 x)) (*.f64 (/.f64 x (+.f64 8 (pow.f64 (*.f64 1/2 x) 3))) (*.f64 (*.f64 x x) 1/4))) |
(*.f64 (/.f64 x (+.f64 8 (*.f64 1/8 (pow.f64 x 3)))) (fma.f64 (*.f64 x x) 1/4 (-.f64 4 x))) |
(*.f64 (/.f64 x (fma.f64 1/8 (pow.f64 x 3) 8)) (-.f64 (fma.f64 x (*.f64 x 1/4) 4) x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 1/2 x 2)))) 1) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 1 (/.f64 x (fma.f64 1/2 x 2))) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 x (/.f64 1 (fma.f64 1/2 x 2))) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (/.f64 x (fma.f64 1/2 x 2)) 1) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (fma.f64 1/2 x 2))) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 1/2 x 2))) (sqrt.f64 (/.f64 x (fma.f64 1/2 x 2)))) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (cbrt.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 1/2 x 2))) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) 2)) |
(/.f64 x (fma.f64 1/2 x 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))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) 2) (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2)))) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (/.f64 1 (fma.f64 1/2 x 2)) x) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (/.f64 1 (fma.f64 1/2 x 2)) (pow.f64 (/.f64 1 x) -1)) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (fma.f64 1/2 x -2) (/.f64 x (+.f64 (*.f64 (*.f64 x x) 1/4) -4))) |
(*.f64 (/.f64 x (fma.f64 (*.f64 x x) 1/4 -4)) (fma.f64 1/2 x -2)) |
(/.f64 (*.f64 x (fma.f64 1/2 x -2)) (fma.f64 x (*.f64 x 1/4) -4)) |
(*.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 4 x)) (/.f64 x (+.f64 8 (pow.f64 (*.f64 1/2 x) 3)))) |
(*.f64 (/.f64 x (+.f64 8 (*.f64 1/8 (pow.f64 x 3)))) (fma.f64 (*.f64 x x) 1/4 (-.f64 4 x))) |
(*.f64 (/.f64 x (fma.f64 1/8 (pow.f64 x 3) 8)) (-.f64 (fma.f64 x (*.f64 x 1/4) 4) x)) |
(*.f64 (neg.f64 x) (/.f64 -1 (fma.f64 1/2 x 2))) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 -1 (/.f64 x (-.f64 -2 (*.f64 1/2 x)))) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 -1 (neg.f64 (/.f64 x (fma.f64 1/2 x 2)))) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (/.f64 (sqrt.f64 x) (fma.f64 1/2 x 2)) (sqrt.f64 x)) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (/.f64 (sqrt.f64 x) (fma.f64 1/2 x 2)) (/.f64 (sqrt.f64 x) 1)) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 1/2 x 2)) (cbrt.f64 x)) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (/.f64 x (-.f64 -2 (*.f64 1/2 x))) -1) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 1/2 x 2))) (/.f64 x (sqrt.f64 (fma.f64 1/2 x 2)))) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 1/2 x 2)))) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 1/2 x 2))) (/.f64 1 (sqrt.f64 (fma.f64 1/2 x 2)))) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (/.f64 x (cbrt.f64 (fma.f64 1/2 x 2))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2))) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (/.f64 -1 (fma.f64 1/2 x 2)) (neg.f64 x)) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/4) -4)) (*.f64 x (fma.f64 1/2 x -2))) |
(*.f64 (/.f64 x (fma.f64 (*.f64 x x) 1/4 -4)) (fma.f64 1/2 x -2)) |
(/.f64 (*.f64 x (fma.f64 1/2 x -2)) (fma.f64 x (*.f64 x 1/4) -4)) |
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 (*.f64 1/2 x) 3))) (*.f64 x (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 4 x)))) |
(*.f64 (/.f64 x (+.f64 8 (*.f64 1/8 (pow.f64 x 3)))) (fma.f64 (*.f64 x x) 1/4 (-.f64 4 x))) |
(*.f64 (/.f64 x (fma.f64 1/8 (pow.f64 x 3) 8)) (-.f64 (fma.f64 x (*.f64 x 1/4) 4) x)) |
(*.f64 (/.f64 x (+.f64 (*.f64 (*.f64 x x) 1/4) -4)) (fma.f64 1/2 x -2)) |
(*.f64 (/.f64 x (fma.f64 (*.f64 x x) 1/4 -4)) (fma.f64 1/2 x -2)) |
(/.f64 (*.f64 x (fma.f64 1/2 x -2)) (fma.f64 x (*.f64 x 1/4) -4)) |
(*.f64 (/.f64 x (+.f64 8 (pow.f64 (*.f64 1/2 x) 3))) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 4 x))) |
(*.f64 (/.f64 x (+.f64 8 (*.f64 1/8 (pow.f64 x 3)))) (fma.f64 (*.f64 x x) 1/4 (-.f64 4 x))) |
(*.f64 (/.f64 x (fma.f64 1/8 (pow.f64 x 3) 8)) (-.f64 (fma.f64 x (*.f64 x 1/4) 4) x)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 1/2 x 2))) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 1/2 x 2)))) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 1/2 x 2))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2))) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 1/2 x 2))) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (/.f64 (cbrt.f64 x) (fma.f64 1/2 x 2)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 1/2 x 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 1/2 x 2)))) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 1/2 x 2))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 1/2 x 2)))) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2)) (cbrt.f64 (/.f64 x (fma.f64 1/2 x 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))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))))) |
(*.f64 (pow.f64 (/.f64 1 x) -1) (/.f64 1 (fma.f64 1/2 x 2))) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) -1) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) -1)) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) -1)) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) 2) -1)) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 x (fma.f64 1/2 x 2))) 1) (sqrt.f64 (/.f64 x (fma.f64 1/2 x 2)))) |
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) 2) 1) (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2)))) |
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) 2) (cbrt.f64 (fma.f64 1/2 x 2))) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) 2) (cbrt.f64 (fma.f64 1/2 x 2)))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) 2) (/.f64 (cbrt.f64 (fma.f64 1/2 x 2)) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (/.f64 (fma.f64 1/2 x 2) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
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(*.f64 (/.f64 1 (neg.f64 (-.f64 -2 (*.f64 1/2 x)))) (neg.f64 (neg.f64 x))) |
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(*.f64 (/.f64 x (neg.f64 (fma.f64 (*.f64 x x) 1/4 -4))) (neg.f64 (fma.f64 1/2 x -2))) |
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(*.f64 (fma.f64 1/2 x -2) (*.f64 1 (/.f64 x (fma.f64 x (*.f64 x 1/4) -4)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 x (fma.f64 1/2 x 2))) (sqrt.f64 (-.f64 -2 (*.f64 1/2 x)))) (sqrt.f64 (neg.f64 x))) |
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(*.f64 (/.f64 (/.f64 1 (fma.f64 1/2 x 2)) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x)) |
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(*.f64 (/.f64 (/.f64 1 (fma.f64 1/2 x 2)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 x (fma.f64 1/2 x 2)) |
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(*.f64 (/.f64 (/.f64 x (sqrt.f64 (fma.f64 1/2 x 2))) (sqrt.f64 (fma.f64 x (*.f64 x 1/4) -4))) (sqrt.f64 (fma.f64 1/2 x -2))) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 (*.f64 1/2 x) 3)))) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 4 x)))) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2)) (cbrt.f64 (+.f64 8 (*.f64 1/8 (pow.f64 x 3))))) (cbrt.f64 (fma.f64 (*.f64 x x) 1/4 (-.f64 4 x)))) |
(*.f64 (/.f64 (/.f64 x (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) 8))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2)) (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/4) 4) x))) |
(*.f64 (/.f64 x (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) 8)))) (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/4) 4) x))) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2)) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) -4))) (cbrt.f64 (fma.f64 1/2 x -2))) |
(*.f64 (/.f64 x (*.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/4 -4)) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2))) (cbrt.f64 (fma.f64 1/2 x -2))) |
(*.f64 (/.f64 (/.f64 x (cbrt.f64 (fma.f64 (*.f64 x x) 1/4 -4))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2)) (cbrt.f64 (fma.f64 1/2 x -2))) |
(*.f64 (/.f64 (/.f64 x (cbrt.f64 (fma.f64 x (*.f64 x 1/4) -4))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2)) (cbrt.f64 (fma.f64 1/2 x -2))) |
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(pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 1) |
(/.f64 x (fma.f64 1/2 x 2)) |
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 1/2 x 2))) 2) |
(/.f64 x (fma.f64 1/2 x 2)) |
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) 3) |
(/.f64 x (fma.f64 1/2 x 2)) |
(pow.f64 (pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 3) 1/3) |
(/.f64 x (fma.f64 1/2 x 2)) |
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 2)) |
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 1/2 x 2))))) |
(/.f64 x (fma.f64 1/2 x 2)) |
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 3)) |
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(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 1/2 x 2)))) |
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(exp.f64 (log.f64 (/.f64 x (fma.f64 1/2 x 2)))) |
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(+.f64 (*.f64 (/.f64 1 x) 2) (*.f64 (/.f64 1 x) (*.f64 1/2 x))) |
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 1/2 x 2) x))) 1) |
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(/.f64 (fma.f64 1/2 x 2) x) |
(*.f64 (fma.f64 1/2 x 2) (/.f64 1 x)) |
(/.f64 (fma.f64 1/2 x 2) x) |
(*.f64 (/.f64 (fma.f64 1/2 x 2) x) 1) |
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) 2) (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x))) |
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(*.f64 (/.f64 1 x) (fma.f64 1/2 x 2)) |
(/.f64 (fma.f64 1/2 x 2) x) |
(*.f64 (-.f64 -2 (*.f64 1/2 x)) (/.f64 -1 x)) |
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(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 x 2)) x) (/.f64 (sqrt.f64 (fma.f64 1/2 x 2)) 1)) |
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 1/2 x 2)) (sqrt.f64 x))) |
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(*.f64 (fma.f64 1/2 x 2) (/.f64 (fma.f64 (*.f64 x x) 1/4 -4) (*.f64 (fma.f64 (*.f64 x x) 1/4 -4) x))) |
(*.f64 (fma.f64 1/2 x 2) (/.f64 (/.f64 (fma.f64 (*.f64 x x) 1/4 -4) x) (fma.f64 (*.f64 x x) 1/4 -4))) |
(/.f64 (/.f64 (fma.f64 x (*.f64 x 1/4) -4) x) (/.f64 (fma.f64 x (*.f64 x 1/4) -4) (fma.f64 1/2 x 2))) |
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) -4) x) (-.f64 (pow.f64 (*.f64 1/2 x) 3) 8)) (+.f64 (*.f64 (*.f64 x x) 1/4) (+.f64 x 4))) |
(/.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x x) 1/4 -4) x) (fma.f64 (*.f64 x x) 1/4 (+.f64 x 4))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) -8)) |
(/.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x x) 1/4 -4) x) (+.f64 4 (fma.f64 (*.f64 x x) 1/4 x))) (fma.f64 1/8 (pow.f64 x 3) -8)) |
(/.f64 (fma.f64 x (*.f64 x 1/4) -4) (*.f64 (/.f64 (fma.f64 1/8 (pow.f64 x 3) -8) (+.f64 x (fma.f64 x (*.f64 x 1/4) 4))) x)) |
(*.f64 (/.f64 (/.f64 (+.f64 8 (pow.f64 (*.f64 1/2 x) 3)) x) (-.f64 (*.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (*.f64 x x) 1/4)) (*.f64 (-.f64 4 x) (-.f64 4 x)))) (+.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) -4) x)) |
(*.f64 (/.f64 (+.f64 8 (*.f64 1/8 (pow.f64 x 3))) (*.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/16) (*.f64 (-.f64 4 x) (-.f64 4 x))) x)) (+.f64 x (fma.f64 (*.f64 x x) 1/4 -4))) |
(/.f64 (*.f64 (+.f64 x (fma.f64 (*.f64 x x) 1/4 -4)) (fma.f64 1/8 (pow.f64 x 3) 8)) (*.f64 x (fma.f64 (pow.f64 x 4) 1/16 (*.f64 (-.f64 4 x) (+.f64 x -4))))) |
(*.f64 (/.f64 (fma.f64 1/8 (pow.f64 x 3) 8) (*.f64 x (fma.f64 (pow.f64 x 4) 1/16 (*.f64 (-.f64 4 x) (+.f64 x -4))))) (+.f64 x (fma.f64 x (*.f64 x 1/4) -4))) |
(*.f64 (/.f64 (/.f64 (+.f64 8 (pow.f64 (*.f64 1/2 x) 3)) x) (+.f64 (pow.f64 (*.f64 (*.f64 x x) 1/4) 3) (pow.f64 (-.f64 4 x) 3))) (+.f64 (*.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (*.f64 x x) 1/4)) (-.f64 (*.f64 (-.f64 4 x) (-.f64 4 x)) (*.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 4 x))))) |
(*.f64 (/.f64 (/.f64 (+.f64 8 (*.f64 1/8 (pow.f64 x 3))) x) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/64) (pow.f64 (-.f64 4 x) 3))) (+.f64 (*.f64 (pow.f64 x 4) 1/16) (*.f64 (-.f64 4 x) (-.f64 (-.f64 4 x) (*.f64 x (*.f64 x 1/4)))))) |
(*.f64 (/.f64 (fma.f64 1/8 (pow.f64 x 3) 8) (*.f64 x (fma.f64 (pow.f64 (*.f64 x x) 3) 1/64 (pow.f64 (-.f64 4 x) 3)))) (fma.f64 (pow.f64 x 4) 1/16 (*.f64 (-.f64 4 x) (-.f64 4 (fma.f64 (*.f64 x x) 1/4 x))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 1/8 (pow.f64 x 3) 8) x) (fma.f64 (pow.f64 (*.f64 x x) 3) 1/64 (pow.f64 (-.f64 4 x) 3))) (fma.f64 (pow.f64 x 4) 1/16 (*.f64 (-.f64 4 x) (-.f64 4 (fma.f64 x (*.f64 x 1/4) x))))) |
(pow.f64 (/.f64 (fma.f64 1/2 x 2) x) 1) |
(/.f64 (fma.f64 1/2 x 2) x) |
(pow.f64 (/.f64 x (fma.f64 1/2 x 2)) -1) |
(/.f64 (fma.f64 1/2 x 2) x) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) 2) |
(/.f64 (fma.f64 1/2 x 2) x) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) 3) |
(/.f64 (fma.f64 1/2 x 2) x) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 1/2 x 2) x) 3) 1/3) |
(/.f64 (fma.f64 1/2 x 2) x) |
(neg.f64 (/.f64 (fma.f64 1/2 x 2) (neg.f64 x))) |
(/.f64 (fma.f64 1/2 x 2) x) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 x 2) x) 2)) |
(fabs.f64 (/.f64 (fma.f64 1/2 x 2) x)) |
(log.f64 (exp.f64 (/.f64 (fma.f64 1/2 x 2) x))) |
(/.f64 (fma.f64 1/2 x 2) x) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 1/2 x 2) x)))) |
(/.f64 (fma.f64 1/2 x 2) x) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 x 2) x) 3)) |
(/.f64 (fma.f64 1/2 x 2) x) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/2 x 2) x))) |
(/.f64 (fma.f64 1/2 x 2) x) |
(exp.f64 (log.f64 (/.f64 (fma.f64 1/2 x 2) x))) |
(/.f64 (fma.f64 1/2 x 2) x) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 1/2 x 2) x))) |
(/.f64 (fma.f64 1/2 x 2) x) |
Compiled 15232 to 11968 computations (21.4% saved)
16 alts after pruning (3 fresh and 13 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 829 | 1 | 830 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 12 | 12 |
| Total | 829 | 16 | 845 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.3b | (/.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (/.f64 -1 x)) |
| ✓ | 22.5b | (/.f64 (neg.f64 x) (-.f64 -2 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))) |
| ✓ | 21.6b | (/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
| ✓ | 0.2b | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| ✓ | 22.8b | (/.f64 x 2) |
| ✓ | 21.7b | (/.f64 1 (/.f64 (+.f64 (*.f64 1/2 x) 2) x)) |
| ✓ | 0.3b | (/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)) |
| ✓ | 22.9b | (/.f64 1 (/.f64 2 x)) |
| 22.6b | (/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) | |
| ✓ | 21.7b | (/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
| 21.7b | (/.f64 1 (*.f64 (/.f64 -1 x) (-.f64 -2 (*.f64 1/2 x)))) | |
| ✓ | 23.2b | (+.f64 (*.f64 x (*.f64 x -1/8)) (*.f64 1/2 x)) |
| ✓ | 36.5b | (+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
| ✓ | 22.4b | (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
| ✓ | 23.2b | (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
| 60.7b | 2 |
Compiled 147 to 118 computations (19.7% saved)
| Inputs |
|---|
2 |
(/.f64 x 2) |
(/.f64 1 (/.f64 2 x)) |
(*.f64 x (+.f64 1/2 (*.f64 -1/8 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 (*.f64 x -1/8)) (*.f64 1/2 x)) |
(/.f64 1 (/.f64 (+.f64 (*.f64 1/2 x) 2) x)) |
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1))) |
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
(/.f64 1 (*.f64 (/.f64 -1 x) (-.f64 -2 (*.f64 1/2 x)))) |
(/.f64 (neg.f64 x) (-.f64 -2 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))) |
(/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 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 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (/.f64 -1 x)) |
(/.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 2))) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) |
| Outputs |
|---|
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
2 calls:
| 33.0ms | x |
| 12.0ms | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 1 | x |
| 0.2b | 1 | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
Compiled 216 to 166 computations (23.1% saved)
| Inputs |
|---|
2 |
(/.f64 x 2) |
(/.f64 1 (/.f64 2 x)) |
(*.f64 x (+.f64 1/2 (*.f64 -1/8 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 (*.f64 x -1/8)) (*.f64 1/2 x)) |
(/.f64 1 (/.f64 (+.f64 (*.f64 1/2 x) 2) x)) |
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1))) |
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
(/.f64 1 (*.f64 (/.f64 -1 x) (-.f64 -2 (*.f64 1/2 x)))) |
(/.f64 (neg.f64 x) (-.f64 -2 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))) |
(/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
| Outputs |
|---|
(/.f64 (neg.f64 x) (-.f64 -2 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
1 calls:
| 15.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 2 | x |
Compiled 120 to 92 computations (23.3% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 1.1497604080302412e-5 | 0.018631329716691535 |
| 13.0ms | 128× | body | 256 | valid |
Compiled 189 to 154 computations (18.5% saved)
| Inputs |
|---|
2 |
(/.f64 x 2) |
(/.f64 1 (/.f64 2 x)) |
(*.f64 x (+.f64 1/2 (*.f64 -1/8 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 (*.f64 x -1/8)) (*.f64 1/2 x)) |
(/.f64 1 (/.f64 (+.f64 (*.f64 1/2 x) 2) x)) |
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1))) |
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
(/.f64 1 (*.f64 (/.f64 -1 x) (-.f64 -2 (*.f64 1/2 x)))) |
(/.f64 (neg.f64 x) (-.f64 -2 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))) |
(/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) |
| Outputs |
|---|
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1))) |
1 calls:
| 7.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 21.6b | 1 | x |
Compiled 114 to 87 computations (23.7% saved)
| Inputs |
|---|
2 |
(/.f64 x 2) |
(/.f64 1 (/.f64 2 x)) |
(*.f64 x (+.f64 1/2 (*.f64 -1/8 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 (*.f64 x -1/8)) (*.f64 1/2 x)) |
(/.f64 1 (/.f64 (+.f64 (*.f64 1/2 x) 2) x)) |
| Outputs |
|---|
(/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
1 calls:
| 5.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 21.6b | 1 | x |
Compiled 58 to 43 computations (25.9% saved)
| Inputs |
|---|
2 |
(/.f64 x 2) |
(/.f64 1 (/.f64 2 x)) |
(*.f64 x (+.f64 1/2 (*.f64 -1/8 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 |
| Error | Segments | Branch |
|---|---|---|
| 21.7b | 1 | x |
Compiled 33 to 25 computations (24.2% saved)
| Inputs |
|---|
2 |
(/.f64 x 2) |
(/.f64 1 (/.f64 2 x)) |
(*.f64 x (+.f64 1/2 (*.f64 -1/8 x))) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
| Outputs |
|---|
(*.f64 x (+.f64 1/2 (*.f64 -1/8 x))) |
2 |
1 calls:
| 7.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 21.6b | 2 | x |
Compiled 26 to 19 computations (26.9% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 0.1469305227946351 | 135502.50739961542 |
| 14.0ms | 144× | body | 256 | valid |
Compiled 121 to 100 computations (17.4% saved)
Total -37.9b remaining (-166.3%)
Threshold costs -37.9b (-166.3%)
| Inputs |
|---|
2 |
(/.f64 x 2) |
(/.f64 1 (/.f64 2 x)) |
| Outputs |
|---|
(/.f64 x 2) |
1 calls:
| 5.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 22.8b | 1 | x |
Compiled 12 to 9 computations (25% saved)
| 1× | egg-herbie |
| 32× | +-commutative |
| 20× | *-commutative |
| 10× | neg-mul-1 |
| 10× | neg-sub0 |
| 8× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 184 |
| 1 | 66 | 184 |
| 2 | 78 | 184 |
| 3 | 90 | 184 |
| 4 | 103 | 184 |
| 5 | 106 | 184 |
| 6 | 107 | 184 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(if (<=.f64 x 4150517416584649/18446744073709551616) (/.f64 (neg.f64 x) (-.f64 -2 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))) (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1))) |
(/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(if (<=.f64 x 3152519739159347/1125899906842624) (*.f64 x (+.f64 1/2 (*.f64 -1/8 x))) 2) |
(/.f64 x 2) |
2 |
| Outputs |
|---|
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(if (<=.f64 x 4150517416584649/18446744073709551616) (/.f64 (neg.f64 x) (-.f64 -2 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))) (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1))) |
(/.f64 x (+.f64 1 (+.f64 1 (*.f64 x 1/2)))) |
(/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
(/.f64 x (+.f64 (*.f64 x 1/2) 2)) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(if (<=.f64 x 3152519739159347/1125899906842624) (*.f64 x (+.f64 1/2 (*.f64 -1/8 x))) 2) |
(if (<=.f64 x 3152519739159347/1125899906842624) (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) 2) |
(/.f64 x 2) |
2 |
Compiled 77 to 61 computations (20.8% saved)
| 2× | egg-herbie |
| 1716× | associate-*r/ |
| 1210× | associate-*l/ |
| 812× | associate-+l+ |
| 784× | associate-+r+ |
| 644× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 338 | 6772 |
| 1 | 907 | 6422 |
| 2 | 3861 | 6422 |
| 0 | 461 | 7516 |
| 1 | 1234 | 6766 |
| 2 | 5169 | 6716 |
| 1× | node limit |
| 1× | node limit |
Compiled 270 to 188 computations (30.4% saved)
Compiled 70 to 54 computations (22.9% saved)
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