Time bar (total: 6.3s)
| 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)
| 697.0ms | 8253× | body | 256 | valid |
| 1.0ms | 3× | body | 2048 | valid |
| 0.0ms | 3× | 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 | @ | 0 | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| 0.0ms | x | @ | inf | (+.f64 1 (sqrt.f64 (+.f64 x 1))) |
| 0.0ms | x | @ | -inf | (+.f64 1 (sqrt.f64 (+.f64 x 1))) |
| 1× | batch-egg-rewrite |
| 1280× | associate-*r/ |
| 946× | associate-*l/ |
| 936× | associate-/r* |
| 858× | *-commutative |
| 696× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 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)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 293 | 6 | 299 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 293 | 7 | 300 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.3b | (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1) |
| ▶ | 21.8b | (/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
| ✓ | 0.2b | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| ▶ | 22.5b | (/.f64 x 2) |
| ▶ | 37.1b | (+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
| 7.9b | (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) | |
| ▶ | 23.3b | (*.f64 x (+.f64 1/2 (*.f64 -1/8 x))) |
Compiled 123 to 97 computations (21.1% 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))) | |
| ✓ | 0.2b | (/.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 | |
|---|---|---|---|---|
| 2.0ms | 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 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)) (sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 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))) (/.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.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 x 1)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 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| 1× | egg-herbie |
| 1266× | distribute-lft-in |
| 1254× | distribute-rgt-in |
| 598× | associate-/l* |
| 506× | associate-/l/ |
| 382× | +-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 473 | 8060 |
| 1 | 1133 | 7954 |
| 2 | 4261 | 7920 |
| 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 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1))) 1) |
(*.f64 1 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)) |
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1) 1) |
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)) (sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 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 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1))) |
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(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1) |
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(/.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) 1)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)) |
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(/.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))) |
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(/.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)) (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))) (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))) |
(/.f64 (/.f64 (neg.f64 x) -1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (/.f64 (neg.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (neg.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(/.f64 (/.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (neg.f64 (cbrt.f64 (+.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 (neg.f64 x) (neg.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(/.f64 (/.f64 (neg.f64 x) (neg.f64 (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 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (/.f64 1 x))) (sqrt.f64 (/.f64 1 x))) |
(/.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x)))) (cbrt.f64 (/.f64 1 x))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2)) 1) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (/.f64 1 x))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2)) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) 2))) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2)) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2)) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))) |
(/.f64 (/.f64 (/.f64 x 1) 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 1) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(/.f64 (/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(/.f64 (/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (sqrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) (sqrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(/.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) 1) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (sqrt.f64 (cbrt.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 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))) (cbrt.f64 (cbrt.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 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(/.f64 (/.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 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2)) |
(log.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)))) |
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1))) |
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) |
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) 1) |
(*.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) |
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 x)) |
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 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 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) 2)) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (/.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 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) 2) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) |
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 -1 x)) |
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) x) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 1)) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) 1)) |
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 x))) |
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 -1 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 1) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) x)) |
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (cbrt.f64 x))) |
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (cbrt.f64 x)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) |
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 1) |
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -1) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) 3) |
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 3) 1/3) |
(neg.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) |
(exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 x))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 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 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1))) 1) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 1 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -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 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1) 1) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)) (sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 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 (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 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2))) |
(*.f64 (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 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 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 x (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(/.f64 x (*.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 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 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x)) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 x (neg.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 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) |
(*.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 x (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(/.f64 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 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 (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) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.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 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))))) |
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(*.f64 (/.f64 (fabs.f64 (cbrt.f64 x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 (sqrt.f64 x) (sqrt.f64 (cbrt.f64 x)))) |
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(*.f64 (fabs.f64 (cbrt.f64 x)) (*.f64 (/.f64 (fabs.f64 (cbrt.f64 x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 x))) |
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(/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2)) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (/.f64 1 x)))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2)) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))) |
(/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2)) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) 2))) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))) |
(/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2)) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) 2)))) |
(/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2)) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))) |
(/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2)) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))) |
(/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2)) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) |
(/.f64 (/.f64 (/.f64 x 1) 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 1) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(/.f64 x (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(/.f64 (/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (*.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 x (*.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (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 x 1) 1/4))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(/.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 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) |
(/.f64 (/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (sqrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) (sqrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(/.f64 x (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(/.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) 1) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 x (+.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 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))) (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(/.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 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (cbrt.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 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 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 x 1)))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2)) |
(fabs.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(log.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1) 3)) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))) |
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) 1) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(*.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 x)) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 1) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 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 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) 2)) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) 2) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 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 x 1))) (/.f64 -1 x)) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 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)) x) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 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 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) 1)) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x))) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 x))) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(*.f64 (/.f64 -1 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 1) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 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)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 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)) (cbrt.f64 x)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 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 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 x))) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (sqrt.f64 x))) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 1) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -1) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) 2) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) 3) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 3) 1/3) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(neg.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 2)) |
(fabs.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) |
(log.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 3)) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 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 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
Compiled 6 to 4 computations (33.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 x (+.f64 1/2 (*.f64 -1/8 x))) |
Compiled 19 to 14 computations (26.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 x (+.f64 1/2 (*.f64 -1/8 x))) |
| 0.0ms | x | @ | -inf | (*.f64 x (+.f64 1/2 (*.f64 -1/8 x))) |
| 0.0ms | x | @ | 0 | (*.f64 x (+.f64 1/2 (*.f64 -1/8 x))) |
| 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 -1/8 x))) |
| 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 (+.f64 1/2 (*.f64 -1/8 x))))) 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 (+.f64 1/2 (*.f64 -1/8 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/8 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/8 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/8 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/8 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 (*.f64 -1/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/8 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/8 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/8 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/8 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/8 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/8 x)))))))) (#(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 |
| 1558× | associate-/r* |
| 708× | associate-+r+ |
| 610× | associate-+l+ |
| 534× | *-commutative |
| 508× | fma-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 828 |
| 1 | 250 | 668 |
| 2 | 969 | 630 |
| 3 | 3625 | 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 (+.f64 1/2 (*.f64 -1/8 x))))) 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 (+.f64 1/2 (*.f64 -1/8 x))) 1) |
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/8 x)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/8 x)))) 3) |
(pow.f64 (pow.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/8 x))) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/8 x))) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 (*.f64 -1/8 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/8 x)))))) |
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/8 x))) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/8 x))))) |
(exp.f64 (log.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/8 x))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/8 x)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/8 x))))) |
(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)) |
(*.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 -1/8 (*.f64 x x)) |
(*.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 -1/8 (*.f64 x x)) |
(*.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 1/2) (*.f64 -1/8 (*.f64 x x))) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(+.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 x 1/2)) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(+.f64 (*.f64 (*.f64 x 1/2) 1) (*.f64 (*.f64 -1/8 (*.f64 x x)) 1)) |
(*.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 -1/8 x))))) 1) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(*.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))) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(*.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 x (/.f64 (-.f64 (+.f64 1/4 (*.f64 (*.f64 1/64 x) x)) (*.f64 x -1/16)) (+.f64 1/8 (*.f64 -1/512 (pow.f64 x 3))))) |
(/.f64 (*.f64 x (fma.f64 -1/512 (pow.f64 x 3) 1/8)) (+.f64 1/4 (*.f64 x (+.f64 (*.f64 x 1/64) 1/16)))) |
(/.f64 (fma.f64 -1/512 (pow.f64 x 4) (*.f64 x 1/8)) (fma.f64 x (fma.f64 x 1/64 1/16) 1/4)) |
(*.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 (*.f64 (-.f64 1/4 (*.f64 1/64 (*.f64 x x))) x) (+.f64 1/2 (*.f64 1/8 x))) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(*.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 x (/.f64 (-.f64 (+.f64 1/4 (*.f64 (*.f64 1/64 x) x)) (*.f64 x -1/16)) (+.f64 1/8 (*.f64 -1/512 (pow.f64 x 3))))) |
(/.f64 (*.f64 x (fma.f64 -1/512 (pow.f64 x 3) 1/8)) (+.f64 1/4 (*.f64 x (+.f64 (*.f64 x 1/64) 1/16)))) |
(/.f64 (fma.f64 -1/512 (pow.f64 x 4) (*.f64 x 1/8)) (fma.f64 x (fma.f64 x 1/64 1/16) 1/4)) |
(*.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 (-.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 x (+.f64 1/2 (*.f64 x -1/8))) |
(*.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 (+.f64 1/2 (*.f64 -1/8 x))) 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 -1/8 x)))) 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 -1/8 x)))) 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 -1/8 x))) 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 -1/8 x))) 2)) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 (*.f64 -1/8 x)))) |
(*.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 -1/8 x)))))) |
(*.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 -1/8 x))) 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 -1/8 x))))) |
(*.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 -1/8 x))))) |
(*.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 -1/8 x)))) 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 -1/8 x))))) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x))) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(fma.f64 1/2 x (*.f64 -1/8 (*.f64 x x))) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
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 | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
| 0.0ms | x | @ | 0 | (/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
| 0.0ms | x | @ | -inf | (/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
| 1× | batch-egg-rewrite |
| 1904× | add-sqr-sqrt |
| 1876× | *-un-lft-identity |
| 1766× | add-cube-cbrt |
| 1750× | add-cbrt-cube |
| 174× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 15 |
| 1 | 180 | 15 |
| 2 | 2321 | 15 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 (*.f64 1/2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 (*.f64 1/2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))) (sqrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 (*.f64 1/2 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))) 2) (cbrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 (*.f64 1/2 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 1/2 x) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (+.f64 (*.f64 1/2 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 1/2 x) 2))) (/.f64 x (sqrt.f64 (+.f64 (*.f64 1/2 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)) 2)) (/.f64 x (cbrt.f64 (+.f64 (*.f64 1/2 x) 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) (+.f64 (*.f64 1/2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 (*.f64 1/2 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 (*.f64 1/2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 (*.f64 1/2 x) 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 (*.f64 1/2 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)) 2)) (cbrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (*.f64 1/2 x) 2) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (+.f64 (*.f64 1/2 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)))))))) |
| 1× | egg-herbie |
| 1674× | distribute-lft-in |
| 1334× | associate-+r+ |
| 1008× | associate-+l+ |
| 644× | associate-*r/ |
| 482× | associate-/l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 131 | 1034 |
| 1 | 334 | 1006 |
| 2 | 1188 | 1002 |
| 3 | 4671 | 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 (+.f64 (*.f64 1/2 x) 2)))) 1) |
(*.f64 x (/.f64 1 (+.f64 (*.f64 1/2 x) 2))) |
(*.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)) 1) |
(*.f64 1 (/.f64 x (+.f64 (*.f64 1/2 x) 2))) |
(*.f64 (sqrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))) (sqrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 (*.f64 1/2 x) 2)))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))) 2) (cbrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 (*.f64 1/2 x) 2)))) |
(*.f64 (/.f64 1 (+.f64 (*.f64 1/2 x) 2)) x) |
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (+.f64 (*.f64 1/2 x) 2)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 1/2 x) 2))) (/.f64 x (sqrt.f64 (+.f64 (*.f64 1/2 x) 2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)) 2)) (/.f64 x (cbrt.f64 (+.f64 (*.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 (+.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) (+.f64 (*.f64 1/2 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 (*.f64 1/2 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 (*.f64 1/2 x) 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 (*.f64 1/2 x) 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)) 2)) (cbrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)))) |
(pow.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)) 1) |
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))) 2) |
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))) 3) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 (*.f64 1/2 x) 2) x) -1) |
(neg.f64 (/.f64 x (neg.f64 (+.f64 (*.f64 1/2 x) 2)))) |
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)) 2)) |
(log.f64 (exp.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))))) |
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)))) |
(exp.f64 (log.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 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)) |
(fma.f64 1/2 x (*.f64 x (*.f64 x -1/8))) |
(*.f64 x (+.f64 (*.f64 x -1/8) 1/2)) |
(*.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 1/2 x (fma.f64 1/32 (pow.f64 x 3) (*.f64 -1/128 (pow.f64 x 4))))) |
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 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 (+.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 32 (*.f64 x x))) (/.f64 -128 (pow.f64 x 3))) |
(-.f64 (/.f64 32 (*.f64 x x)) (+.f64 (-.f64 (/.f64 8 x) 2) (/.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 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 (+.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 32 (*.f64 x x))) (/.f64 -128 (pow.f64 x 3))) |
(-.f64 (/.f64 32 (*.f64 x x)) (+.f64 (-.f64 (/.f64 8 x) 2) (/.f64 128 (pow.f64 x 3)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)))) 1) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 x (/.f64 1 (+.f64 (*.f64 1/2 x) 2))) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)) 1) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 1 (/.f64 x (+.f64 (*.f64 1/2 x) 2))) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (sqrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))) (sqrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)))) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 (*.f64 1/2 x) 2)))) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))) 2)) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))) 2) (cbrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)))) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 (*.f64 1/2 x) 2)))) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (/.f64 1 (+.f64 (*.f64 1/2 x) 2)) x) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (+.f64 (*.f64 1/2 x) 2)))) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 1/2 x) 2))) (/.f64 x (sqrt.f64 (+.f64 (*.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 (/.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 (+.f64 (*.f64 1/2 x) 2)) 2)) (/.f64 x (cbrt.f64 (+.f64 (*.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 (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 (*.f64 x x) 1/4 -4)) (fma.f64 x 1/2 -2)) |
(/.f64 (*.f64 x (fma.f64 1/2 x -2)) (fma.f64 x (*.f64 x 1/4) -4)) |
(*.f64 (/.f64 x (fma.f64 x (*.f64 x 1/4) -4)) (fma.f64 1/2 x -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 x (+.f64 8 (*.f64 (pow.f64 x 3) 1/8))) (fma.f64 (*.f64 x x) 1/4 (-.f64 4 x))) |
(/.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1/8 8) (-.f64 (fma.f64 x (*.f64 x 1/4) 4) x))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 (*.f64 1/2 x) 2))) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 (*.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 (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) (+.f64 (*.f64 1/2 x) 2))) |
(/.f64 x (fma.f64 1/2 x 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 (*.f64 1/2 x) 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 (*.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 (/.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 (+.f64 (*.f64 1/2 x) 2)) 2)) (cbrt.f64 (/.f64 x (+.f64 (*.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 (*.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2)) |
(pow.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)) 1) |
(/.f64 x (fma.f64 1/2 x 2)) |
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))) 2) |
(/.f64 x (fma.f64 1/2 x 2)) |
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))) 3) |
(/.f64 x (fma.f64 1/2 x 2)) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)) 3) 1/3) |
(/.f64 x (fma.f64 1/2 x 2)) |
(pow.f64 (/.f64 (+.f64 (*.f64 1/2 x) 2) x) -1) |
(/.f64 x (fma.f64 1/2 x 2)) |
(neg.f64 (/.f64 x (neg.f64 (+.f64 (*.f64 1/2 x) 2)))) |
(/.f64 x (fma.f64 1/2 x 2)) |
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)) 2)) |
(/.f64 x (fma.f64 1/2 x 2)) |
(log.f64 (exp.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)))) |
(/.f64 x (fma.f64 1/2 x 2)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))))) |
(/.f64 x (fma.f64 1/2 x 2)) |
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)) 3)) |
(/.f64 x (fma.f64 1/2 x 2)) |
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)))) |
(/.f64 x (fma.f64 1/2 x 2)) |
(exp.f64 (log.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)))) |
(/.f64 x (fma.f64 1/2 x 2)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))) 1)) |
(/.f64 x (fma.f64 1/2 x 2)) |
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 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)) | |
| ✓ | 3.4b | (+.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) |
Compiled 13196 to 10323 computations (21.8% saved)
10 alts after pruning (5 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 726 | 5 | 731 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 4 | 5 |
| Total | 728 | 10 | 738 |
| Status | Error | Program |
|---|---|---|
| ▶ | 45.1b | (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))) |
| ▶ | 12.6b | (/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) |
| ✓ | 21.8b | (/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
| ✓ | 0.2b | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| ✓ | 22.5b | (/.f64 x 2) |
| ▶ | 0.3b | (/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)) |
| ✓ | 37.1b | (+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
| ▶ | 22.8b | (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
| ✓ | 23.3b | (*.f64 x (+.f64 1/2 (*.f64 -1/8 x))) |
| 60.8b | 2 |
Compiled 97 to 77 computations (20.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) |
| ✓ | 0.0b | (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
Compiled 40 to 30 computations (25% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
| 0.0ms | x | @ | 0 | (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
| 0.0ms | x | @ | inf | (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) |
| 0.0ms | x | @ | -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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(expm1.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))))) (#(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 |
| 1106× | associate-*r/ |
| 1080× | associate-/l/ |
| 974× | associate-/r/ |
| 816× | associate-/l* |
| 676× | associate-*l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 388 | 8506 |
| 1 | 1056 | 6922 |
| 2 | 4649 | 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 (+.f64 -1/8 (*.f64 x 1/16))))) |
(+.f64 (*.f64 x (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))) (*.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 (+.f64 -1/8 (*.f64 x 1/16)))) 1)) |
(+.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))) 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 (+.f64 -1/8 (*.f64 x 1/16)))) 1))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))))) 1) |
(/.f64 x (/.f64 1 (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))) |
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 2)) (/.f64 (-.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))) x)) |
(/.f64 (+.f64 1/8 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 3)) (/.f64 (+.f64 1/4 (*.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) (-.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 1/2))) x)) |
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 2))) (-.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
(/.f64 (*.f64 x (+.f64 1/8 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 3))) (+.f64 1/4 (*.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) (-.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 1/2)))) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 2)) x) (-.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 3)) x) (+.f64 1/4 (*.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) (-.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 1/2)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (*.f64 (*.f64 x (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))) (*.f64 x (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))) (-.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))) 3)) (+.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (-.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))) (*.f64 x (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) (*.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 2) 1/4)) (-.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 1/2)) |
(/.f64 (*.f64 x (neg.f64 (-.f64 1/4 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 2)))) (neg.f64 (-.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))) |
(/.f64 (*.f64 x (neg.f64 (+.f64 1/8 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 3)))) (neg.f64 (+.f64 1/4 (*.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) (-.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 1/2))))) |
(/.f64 (*.f64 1 (*.f64 x (-.f64 1/4 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 2)))) (-.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
(/.f64 (*.f64 1 (*.f64 x (+.f64 1/8 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 3)))) (+.f64 1/4 (*.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) (-.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 1/2)))) |
(/.f64 (*.f64 1 (*.f64 (-.f64 1/4 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 2)) x)) (-.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
(/.f64 (*.f64 1 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 3)) x)) (+.f64 1/4 (*.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) (-.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 1/2)))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (*.f64 (*.f64 x (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))) (*.f64 x (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))))) (-.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))) 3))) (+.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (-.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))) (*.f64 x (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) (*.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))))) |
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))) (sqrt.f64 (-.f64 1/4 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 2)))) (sqrt.f64 (-.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))) |
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))) (sqrt.f64 (+.f64 1/8 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 3)))) (sqrt.f64 (+.f64 1/4 (*.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) (-.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 1/2))))) |
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) 2)) (cbrt.f64 (-.f64 1/4 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 2)))) (cbrt.f64 (-.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))) |
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) 2)) (cbrt.f64 (+.f64 1/8 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 3)))) (cbrt.f64 (+.f64 1/4 (*.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) (-.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 1/2))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 2) 1/4) x) (-.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 1/2)) |
(/.f64 (*.f64 (neg.f64 (-.f64 1/4 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 2))) x) (neg.f64 (-.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))) |
(/.f64 (*.f64 (neg.f64 (+.f64 1/8 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 3))) x) (neg.f64 (+.f64 1/4 (*.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) (-.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 1/2))))) |
(/.f64 (*.f64 (*.f64 x (-.f64 1/4 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 2))) 1) (-.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
(/.f64 (*.f64 (*.f64 x (+.f64 1/8 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 3))) 1) (+.f64 1/4 (*.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) (-.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 1/2)))) |
(/.f64 (*.f64 (*.f64 (-.f64 1/4 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 2)) x) 1) (-.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
(/.f64 (*.f64 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 3)) x) 1) (+.f64 1/4 (*.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) (-.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 1/2)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (*.f64 (*.f64 x (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))) (*.f64 x (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))) 1) (-.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))) |
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(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
(fma.f64 x -1/8 (*.f64 x (*.f64 x 1/16))) |
(fma.f64 -1/8 x (*.f64 x (*.f64 x 1/16))) |
| Outputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(*.f64 x (fma.f64 x -1/8 1/2)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
(*.f64 1/16 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))) |
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/16 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) |
(*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
(*.f64 1/16 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))) |
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/16 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) |
(*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
(*.f64 -1/8 x) |
(*.f64 x -1/8) |
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2))) |
(*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2))) |
(*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2))) |
(*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(*.f64 1/16 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/16)) |
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2))) |
(*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2))) |
(*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2))) |
(*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(*.f64 1/16 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/16)) |
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2))) |
(*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2))) |
(*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2))) |
(*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(+.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
(+.f64 (*.f64 x (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))) (*.f64 x 1/2)) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
(+.f64 (*.f64 x (*.f64 x -1/8)) (+.f64 (*.f64 x (*.f64 x (*.f64 x 1/16))) (*.f64 x 1/2))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
(+.f64 (*.f64 x (*.f64 x -1/8)) (*.f64 x (+.f64 1/2 (*.f64 x (*.f64 x 1/16))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
(+.f64 (*.f64 (*.f64 x 1/2) 1) (*.f64 (*.f64 x (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))) 1)) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
(+.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))) 1) (*.f64 (*.f64 x 1/2) 1)) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
(+.f64 (*.f64 (*.f64 x -1/8) x) (+.f64 (*.f64 (*.f64 x (*.f64 x 1/16)) x) (*.f64 x 1/2))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
(+.f64 (+.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x -1/8))) (*.f64 x (*.f64 x (*.f64 x 1/16)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
(+.f64 (+.f64 (*.f64 x 1/2) (*.f64 (*.f64 x -1/8) x)) (*.f64 (*.f64 x (*.f64 x 1/16)) x)) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
(+.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) (*.f64 x (*.f64 x (*.f64 x 1/16)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
(+.f64 (*.f64 1 (*.f64 (*.f64 x 1/2) 1)) (*.f64 1 (*.f64 (*.f64 x (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))) 1))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))))) 1) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
(/.f64 x (/.f64 1 (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 2)) (/.f64 (-.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))) x)) |
(*.f64 (/.f64 (-.f64 1/4 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 2)) (-.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) 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 (fma.f64 x (fma.f64 x 1/16 -1/8) -1/2)) (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2) -1/4)) |
(/.f64 (+.f64 1/8 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 3)) (/.f64 (+.f64 1/4 (*.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) (-.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 1/2))) x)) |
(*.f64 (/.f64 (+.f64 1/8 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 3)) (+.f64 1/4 (*.f64 x (*.f64 (+.f64 -1/8 (*.f64 x 1/16)) (fma.f64 x (+.f64 -1/8 (*.f64 x 1/16)) -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 (/.f64 x (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 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3))) |
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 2))) (-.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
(*.f64 (/.f64 (-.f64 1/4 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 2)) (-.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) 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 (fma.f64 x (fma.f64 x 1/16 -1/8) -1/2)) (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2) -1/4)) |
(/.f64 (*.f64 x (+.f64 1/8 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 3))) (+.f64 1/4 (*.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) (-.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 1/2)))) |
(*.f64 (/.f64 (+.f64 1/8 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 3)) (+.f64 1/4 (*.f64 x (*.f64 (+.f64 -1/8 (*.f64 x 1/16)) (fma.f64 x (+.f64 -1/8 (*.f64 x 1/16)) -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 (/.f64 x (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 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3))) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 2)) x) (-.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
(*.f64 (/.f64 (-.f64 1/4 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 2)) (-.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) 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 (fma.f64 x (fma.f64 x 1/16 -1/8) -1/2)) (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2) -1/4)) |
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 3)) x) (+.f64 1/4 (*.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) (-.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 1/2)))) |
(*.f64 (/.f64 (+.f64 1/8 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 3)) (+.f64 1/4 (*.f64 x (*.f64 (+.f64 -1/8 (*.f64 x 1/16)) (fma.f64 x (+.f64 -1/8 (*.f64 x 1/16)) -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 (/.f64 x (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 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3))) |
(/.f64 (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (*.f64 (*.f64 x (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))) (*.f64 x (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))) (-.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (*.f64 x x) (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 2))) (*.f64 x (-.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2))) (*.f64 x (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))) 3)) (+.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (-.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))) (*.f64 x (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) (*.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))))) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (*.f64 (*.f64 x x) (+.f64 -1/8 (*.f64 x 1/16))) 3)) (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (*.f64 (*.f64 x x) (+.f64 -1/8 (*.f64 x 1/16))) (-.f64 (*.f64 (*.f64 x x) (+.f64 -1/8 (*.f64 x 1/16))) (*.f64 1/2 x))))) |
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3))) (fma.f64 x (*.f64 1/4 x) (*.f64 x (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) -1/2)))))) |
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3))) (*.f64 (*.f64 x x) (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 (*.f64 x (-.f64 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 2) 1/4)) (-.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 1/2)) |
(*.f64 (/.f64 (-.f64 1/4 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 2)) (-.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) 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 (fma.f64 x (fma.f64 x 1/16 -1/8) -1/2)) (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2) -1/4)) |
(/.f64 (*.f64 x (neg.f64 (-.f64 1/4 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 2)))) (neg.f64 (-.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))) |
(*.f64 (/.f64 (-.f64 1/4 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 2)) (-.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) 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 (fma.f64 x (fma.f64 x 1/16 -1/8) -1/2)) (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2) -1/4)) |
(/.f64 (*.f64 x (neg.f64 (+.f64 1/8 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 3)))) (neg.f64 (+.f64 1/4 (*.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) (-.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 1/2))))) |
(*.f64 (/.f64 (+.f64 1/8 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 3)) (+.f64 1/4 (*.f64 x (*.f64 (+.f64 -1/8 (*.f64 x 1/16)) (fma.f64 x (+.f64 -1/8 (*.f64 x 1/16)) -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 (/.f64 x (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 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3))) |
(/.f64 (*.f64 1 (*.f64 x (-.f64 1/4 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 2)))) (-.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
(*.f64 (/.f64 (-.f64 1/4 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 2)) (-.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) x) |
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(*.f64 (/.f64 x (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 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3))) |
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(*.f64 (/.f64 x (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 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3))) |
(pow.f64 (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) 1) |
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(pow.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))) 2) |
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(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
(pow.f64 (pow.f64 (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) 3) 1/3) |
(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)) |
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(log.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) |
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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)) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))) 3))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
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(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
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(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
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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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(*.f64 x (/.f64 (+.f64 1/64 (*.f64 (*.f64 x x) -1/256)) (fma.f64 x -1/16 -1/8))) |
(*.f64 (/.f64 x (fma.f64 x 1/16 1/8)) (fma.f64 1/256 (*.f64 x x) -1/64)) |
(/.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 -1/512 (*.f64 (pow.f64 x 3) 1/4096)) (+.f64 1/64 (*.f64 x (*.f64 1/16 (fma.f64 x 1/16 1/8))))) x) |
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1/4096 -1/512) (fma.f64 x (*.f64 1/16 (fma.f64 x 1/16 1/8)) 1/64))) |
(*.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 (/.f64 x (fma.f64 x 1/16 1/8)) (fma.f64 1/256 (*.f64 x x) -1/64)) |
(/.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 -1/512 (*.f64 (pow.f64 x 3) 1/4096)) (+.f64 1/64 (*.f64 x (*.f64 1/16 (fma.f64 x 1/16 1/8))))) x) |
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1/4096 -1/512) (fma.f64 x (*.f64 1/16 (fma.f64 x 1/16 1/8)) 1/64))) |
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1/4096 -1/512) (fma.f64 (*.f64 x 1/16) (fma.f64 x 1/16 1/8) 1/64))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x -1/8) (*.f64 x -1/8)) (*.f64 (*.f64 x (*.f64 x 1/16)) (*.f64 x (*.f64 x 1/16)))) 1) (-.f64 (*.f64 x -1/8) (*.f64 x (*.f64 x 1/16)))) |
(/.f64 (*.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) (*.f64 x (-.f64 -1/8 (*.f64 x 1/16)))) (*.f64 x (-.f64 -1/8 (*.f64 x 1/16)))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 1/64 (*.f64 (*.f64 x x) -1/256))) (*.f64 x (fma.f64 x -1/16 -1/8))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 1/64 (*.f64 (*.f64 -1/256 x) x))) (*.f64 x (fma.f64 x -1/16 -1/8))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x -1/8) 3) (pow.f64 (*.f64 x (*.f64 x 1/16)) 3)) 1) (+.f64 (*.f64 (*.f64 x -1/8) (*.f64 x -1/8)) (-.f64 (*.f64 (*.f64 x (*.f64 x 1/16)) (*.f64 x (*.f64 x 1/16))) (*.f64 (*.f64 x -1/8) (*.f64 x (*.f64 x 1/16)))))) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (*.f64 x (*.f64 x 1/16)) 3)) (+.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (*.f64 x (*.f64 x 1/16)) (-.f64 (*.f64 x (*.f64 x 1/16)) (*.f64 x -1/8))))) |
(/.f64 (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 3) 1/4096 -1/512)) (fma.f64 x (*.f64 1/64 x) (*.f64 (*.f64 x (*.f64 x 1/16)) (*.f64 x (fma.f64 x 1/16 1/8))))) |
(/.f64 (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 3) 1/4096 -1/512)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x 1/16) (fma.f64 x 1/16 1/8) 1/64))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/64 (*.f64 1/256 (*.f64 x x)))) (*.f64 (sqrt.f64 (+.f64 -1/8 (*.f64 x 1/16))) x)) (sqrt.f64 (+.f64 -1/8 (*.f64 -1/16 x)))) |
(/.f64 (*.f64 x (sqrt.f64 (+.f64 -1/8 (*.f64 x 1/16)))) (/.f64 (sqrt.f64 (+.f64 -1/8 (*.f64 x -1/16))) (sqrt.f64 (+.f64 1/64 (*.f64 -1/256 (*.f64 x x)))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/64 (*.f64 (*.f64 x x) -1/256))) (sqrt.f64 (fma.f64 x -1/16 -1/8))) (*.f64 x (sqrt.f64 (fma.f64 x 1/16 -1/8)))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/64 (*.f64 (*.f64 -1/256 x) x))) (sqrt.f64 (fma.f64 x -1/16 -1/8))) (*.f64 x (sqrt.f64 (fma.f64 x 1/16 -1/8)))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3)))) (*.f64 (sqrt.f64 (+.f64 -1/8 (*.f64 x 1/16))) x)) (sqrt.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8))))) |
(/.f64 (sqrt.f64 (+.f64 -1/512 (*.f64 (pow.f64 x 3) 1/4096))) (/.f64 (sqrt.f64 (+.f64 1/64 (*.f64 x (*.f64 1/16 (fma.f64 x 1/16 1/8))))) (*.f64 x (sqrt.f64 (+.f64 -1/8 (*.f64 x 1/16)))))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 1/4096 -1/512)) (sqrt.f64 (fma.f64 x (*.f64 1/16 (fma.f64 x 1/16 1/8)) 1/64))) (*.f64 x (sqrt.f64 (fma.f64 x 1/16 -1/8)))) |
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 x 1/16) (fma.f64 x 1/16 1/8) 1/64))) (*.f64 (sqrt.f64 (fma.f64 x 1/16 -1/8)) (sqrt.f64 (fma.f64 (pow.f64 x 3) 1/4096 -1/512)))) |
(/.f64 (/.f64 (*.f64 x (-.f64 1/64 (*.f64 1/256 (*.f64 x x)))) 1) (+.f64 -1/8 (*.f64 -1/16 x))) |
(*.f64 (/.f64 (+.f64 1/64 (*.f64 -1/256 (*.f64 x x))) (+.f64 -1/8 (*.f64 x -1/16))) x) |
(*.f64 x (/.f64 (+.f64 1/64 (*.f64 (*.f64 x x) -1/256)) (fma.f64 x -1/16 -1/8))) |
(*.f64 (/.f64 x (fma.f64 x 1/16 1/8)) (fma.f64 1/256 (*.f64 x x) -1/64)) |
(/.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 (/.f64 x (fma.f64 x 1/16 1/8)) (fma.f64 1/256 (*.f64 x x) -1/64)) |
(/.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 (/.f64 x (fma.f64 x 1/16 1/8)) (fma.f64 1/256 (*.f64 x x) -1/64)) |
(/.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 -1/512 (*.f64 (pow.f64 x 3) 1/4096)) (+.f64 1/64 (*.f64 x (*.f64 1/16 (fma.f64 x 1/16 1/8))))) x) |
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1/4096 -1/512) (fma.f64 x (*.f64 1/16 (fma.f64 x 1/16 1/8)) 1/64))) |
(*.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 (/.f64 (+.f64 -1/512 (*.f64 (pow.f64 x 3) 1/4096)) (+.f64 1/64 (*.f64 x (*.f64 1/16 (fma.f64 x 1/16 1/8))))) x) |
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1/4096 -1/512) (fma.f64 x (*.f64 1/16 (fma.f64 x 1/16 1/8)) 1/64))) |
(*.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 (/.f64 (+.f64 -1/512 (*.f64 (pow.f64 x 3) 1/4096)) (+.f64 1/64 (*.f64 x (*.f64 1/16 (fma.f64 x 1/16 1/8))))) x) |
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1/4096 -1/512) (fma.f64 x (*.f64 1/16 (fma.f64 x 1/16 1/8)) 1/64))) |
(*.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 (/.f64 x (fma.f64 x 1/16 1/8)) (fma.f64 1/256 (*.f64 x x) -1/64)) |
(/.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 (/.f64 x (fma.f64 x 1/16 1/8)) (fma.f64 1/256 (*.f64 x x) -1/64)) |
(/.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 (/.f64 x (fma.f64 x 1/16 1/8)) (fma.f64 1/256 (*.f64 x x) -1/64)) |
(/.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 -1/512 (*.f64 (pow.f64 x 3) 1/4096)) (+.f64 1/64 (*.f64 x (*.f64 1/16 (fma.f64 x 1/16 1/8))))) x) |
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1/4096 -1/512) (fma.f64 x (*.f64 1/16 (fma.f64 x 1/16 1/8)) 1/64))) |
(*.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 (/.f64 (+.f64 -1/512 (*.f64 (pow.f64 x 3) 1/4096)) (+.f64 1/64 (*.f64 x (*.f64 1/16 (fma.f64 x 1/16 1/8))))) x) |
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1/4096 -1/512) (fma.f64 x (*.f64 1/16 (fma.f64 x 1/16 1/8)) 1/64))) |
(*.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 (/.f64 (+.f64 -1/512 (*.f64 (pow.f64 x 3) 1/4096)) (+.f64 1/64 (*.f64 x (*.f64 1/16 (fma.f64 x 1/16 1/8))))) x) |
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1/4096 -1/512) (fma.f64 x (*.f64 1/16 (fma.f64 x 1/16 1/8)) 1/64))) |
(*.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 (+.f64 -1/8 (*.f64 x 1/16))) 1) |
(*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))) 2) |
(*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))) 3) |
(*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(pow.f64 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 3) 1/3) |
(*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 2)) |
(fabs.f64 (*.f64 x (fma.f64 x 1/16 -1/8))) |
(log.f64 (pow.f64 (exp.f64 x) (+.f64 -1/8 (*.f64 x 1/16)))) |
(*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))) |
(*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) 3)) |
(*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
(*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(exp.f64 (log.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
(*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))) 1)) |
(*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
(*.f64 x (+.f64 -1/8 (*.f64 x 1/16))) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
(fma.f64 x -1/8 (*.f64 x (*.f64 x 1/16))) |
(*.f64 x (+.f64 -1/8 (*.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 (+.f64 -1/8 (*.f64 x 1/16))) |
(*.f64 x (fma.f64 x 1/16 -1/8)) |
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) |
| ✓ | 0.2b | (/.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 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 |
| 978× | associate-*r* |
| 836× | associate-/l* |
| 808× | associate-*l* |
| 758× | associate-*r/ |
| 720× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 604 | 10571 |
| 1 | 1793 | 9113 |
| 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 x 1)) -1) |
(+.f64 (/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)) (*.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)) x) 0)) |
(+.f64 (/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)) (*.f64 0 (/.f64 (/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)) x))) |
(+.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)) x) (*.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)) x) (+.f64 x -1))) |
(+.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)) x) (*.f64 (+.f64 x -1) (/.f64 (/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)) x))) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(+.f64 (*.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)) x) (+.f64 x 1)) (*.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)) x) -1)) |
(+.f64 (*.f64 (/.f64 x x) (sqrt.f64 (+.f64 x 1))) (*.f64 (/.f64 x 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 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(+.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) x) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(+.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x 1)) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(+.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x 1))) |
(+.f64 (*.f64 (+.f64 x 1) (/.f64 (/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)) x)) (*.f64 -1 (/.f64 (/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)) x))) |
(+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 x x)) (*.f64 -1 (/.f64 x x))) |
(+.f64 (*.f64 1 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (*.f64 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) |
(+.f64 (*.f64 x (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (*.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) |
(+.f64 (*.f64 (+.f64 x 1) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) |
(+.f64 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (*.f64 (+.f64 x 1) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) |
(-.f64 (sqrt.f64 (+.f64 x 1)) 1) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) 2) |
(*.f64 1 (/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x))) |
(*.f64 x (/.f64 (/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)) x)) |
(*.f64 (/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)) 1) |
(*.f64 (/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)) (/.f64 x x)) |
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(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) (-.f64 (pow.f64 (+.f64 x 1) 3) 1)) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)) 1) (sqrt.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)) (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 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)) |
(*.f64 (/.f64 (*.f64 x (/.f64 1 x)) x) (+.f64 (sqrt.f64 (+.f64 x 1)) 1)) |
(*.f64 (/.f64 (*.f64 x (/.f64 1 x)) (sqrt.f64 x)) (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) (sqrt.f64 x))) |
(*.f64 (/.f64 (*.f64 x (/.f64 1 x)) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (sqrt.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x))) |
(*.f64 (/.f64 (*.f64 x (/.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) (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 x 1)))) |
(*.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 x 1) 1/4)))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(*.f64 (/.f64 (*.f64 x (/.f64 1 x)) (/.f64 x (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1)) 2))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1))) |
(*.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 x 1) 3/2) 1)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))) (+.f64 x (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) 3))) (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (-.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 x 1))))) |
(*.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 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x))) |
(*.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 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x) 1) |
(pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) -1) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)) 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 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)))) |
(cbrt.f64 (/.f64 1 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3))) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x))) |
(exp.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) 0) |
(-.f64 (exp.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))))) 1) |
(-.f64 (/.f64 (+.f64 x 1) (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 1) |
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) 1)) |
(*.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) 1) |
(*.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) x) |
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (neg.f64 (neg.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))) |
(*.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 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1)) 2) (neg.f64 (neg.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1))))) |
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (sqrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 (sqrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (neg.f64 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) 1)) |
(*.f64 (neg.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (neg.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1)) 2)) (neg.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1)))) |
(*.f64 (/.f64 1 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 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 (sqrt.f64 (+.f64 x 1)) 1) (sqrt.f64 x))) |
(*.f64 (/.f64 x (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) (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 (sqrt.f64 (+.f64 x 1)) 1)) 2))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1))) |
(*.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 x 1) 3/2) 1)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))) (+.f64 x (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) 3))) (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (-.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 x 1))))) |
(*.f64 (/.f64 (neg.f64 x) (neg.f64 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) 1)) |
(*.f64 (/.f64 (neg.f64 x) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (neg.f64 (sqrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (neg.f64 (neg.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1)) 2))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1))) |
(/.f64 1 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)) |
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x))) |
(/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) |
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) 1) |
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(/.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 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) (sqrt.f64 x))) |
(/.f64 (sqrt.f64 x) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))) |
(/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1)) (/.f64 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) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1)))) |
(/.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 x 1))) (neg.f64 (cbrt.f64 x)))) |
(/.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 1 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))))) |
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 -1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) x)) |
(/.f64 (sqrt.f64 (neg.f64 x)) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (neg.f64 x)))) |
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))) (sqrt.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 (*.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 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) |
(/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 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 (+.f64 -1 (neg.f64 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (+.f64 (*.f64 x (+.f64 x 1)) x) (*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) (+.f64 x 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 x 1) 3) 1) (*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) 1) (*.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) 1))) |
(/.f64 (neg.f64 (+.f64 -1 (neg.f64 (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) |
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 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) |
(neg.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) |
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (neg.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))))) |
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) 2)) |
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1)))) |
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) 3)) |
(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 (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)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -5/128 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) (*.f64 -5/128 (pow.f64 x 4))))) |
(/.f64 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)) |
2 |
(+.f64 (*.f64 1/2 x) 2) |
(fma.f64 1/2 x 2) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 2)) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 2) (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) 2))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(+.f64 (/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)) (*.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)) x) 0)) |
(+.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x) 0) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
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(*.f64 (/.f64 (sqrt.f64 (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (neg.f64 x))) |
(*.f64 (sqrt.f64 (neg.f64 x)) (/.f64 (sqrt.f64 (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (neg.f64 x)))) |
(/.f64 (cbrt.f64 (neg.f64 x)) (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)))) |
(/.f64 (*.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x))) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (/.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) |
(*.f64 (/.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 x 2) (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))) |
(/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x))) |
(/.f64 (sqrt.f64 x) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))) |
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 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 (cbrt.f64 x) (/.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 (+.f64 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)) (neg.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (neg.f64 x) (-.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (+.f64 (*.f64 x (+.f64 x 1)) x) (*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) (+.f64 x 2))) |
(/.f64 (fma.f64 x (+.f64 x 1) x) (*.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) (+.f64 x 2))) |
(/.f64 (+.f64 x (fma.f64 x x x)) (*.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) (+.f64 x 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 1 (pow.f64 (pow.f64 (+.f64 x 1) 3/2) 3)) (*.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))) (-.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) 1) (pow.f64 (+.f64 x 1) 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 (+.f64 1 (pow.f64 (+.f64 x 1) 3)) (pow.f64 (+.f64 x 1) 3/2)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) 1) (*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) (+.f64 (pow.f64 (+.f64 x 1) 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 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2))) (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) 1) (*.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) 1))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (*.f64 (-.f64 (+.f64 x 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 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 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 (sqrt.f64 (+.f64 x 1)) 1) 1) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2) |
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1)) 3) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) 3) 1/3) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(neg.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(neg.f64 (/.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)) (neg.f64 (-.f64 (+.f64 x 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 (sqrt.f64 (+.f64 x 1)) 1) 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 (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 1 (sqrt.f64 (+.f64 x 1))) |
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) 3)) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(expm1.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) |
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1))) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1) |
(+.f64 1 (pow.f64 (+.f64 x 1) 1/2)) |
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 1) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sqrt.f64 (+.f64 x 1)) | |
| ✓ | 0.0b | (pow.f64 (+.f64 x 1) 3/2) |
| ✓ | 0.0b | (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) |
| ✓ | 12.0b | (/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) |
Compiled 63 to 48 computations (23.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) |
| 3.0ms | x | @ | inf | (/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) |
| 1.0ms | x | @ | -inf | (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) |
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) |
| 0.0ms | x | @ | -inf | (pow.f64 (+.f64 x 1) 3/2) |
| 1× | batch-egg-rewrite |
| 1830× | associate-/l* |
| 968× | associate-/r/ |
| 530× | associate-+l+ |
| 370× | +-commutative |
| 358× | add-sqr-sqrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 95 |
| 1 | 345 | 95 |
| 2 | 4936 | 95 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) |
(*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) |
(pow.f64 (+.f64 x 1) 3/2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (*.f64 x (/.f64 1 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 x 1) 3/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (pow.f64 (+.f64 x 1) 3/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 3/4) (pow.f64 (+.f64 x 1) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 1/4)) (pow.f64 (+.f64 x 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3/2) (pow.f64 (sqrt.f64 (+.f64 x 1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 3) (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 3/2) (pow.f64 (+.f64 x 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 3/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (fma.f64 x x -1) (sqrt.f64 (+.f64 x 1))) (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (fma.f64 x x -1) (sqrt.f64 (+.f64 x 1))) (-.f64 (pow.f64 x 3) 1)) (+.f64 1 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (sqrt.f64 (+.f64 x 1))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 1 x) (-.f64 1 x)))) (+.f64 (fma.f64 x x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (sqrt.f64 (+.f64 x 1))) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (-.f64 1 x) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 x)) (*.f64 (*.f64 x x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1) (/.f64 (+.f64 x -1) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 (fma.f64 x x (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) (sqrt.f64 (+.f64 x 1))) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (sqrt.f64 (+.f64 x 1))) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x 1) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 1) 9/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3/2 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 x 1) 3/2))))))) |
| 1× | egg-herbie |
| 1078× | associate-+l+ |
| 964× | associate-+r+ |
| 888× | +-commutative |
| 522× | associate-*r* |
| 500× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 468 | 8573 |
| 1 | 1262 | 8193 |
| 2 | 5480 | 8193 |
| 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 (pow.f64 x 2) (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1)) |
(/.f64 (pow.f64 x 2) (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) |
x |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x))) |
(pow.f64 x 2) |
(pow.f64 x 2) |
1 |
(+.f64 1 (*.f64 3/2 x)) |
(+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 3/2 x))) |
(+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 3/2 x)))) |
(sqrt.f64 (pow.f64 x 3)) |
(+.f64 (sqrt.f64 (pow.f64 x 3)) (*.f64 3/2 (sqrt.f64 x))) |
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (+.f64 (sqrt.f64 (pow.f64 x 3)) (*.f64 3/2 (sqrt.f64 x)))) |
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (+.f64 (sqrt.f64 (pow.f64 x 3)) (+.f64 (*.f64 3/2 (sqrt.f64 x)) (*.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))) |
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))) |
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 -1/16 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) 1) |
(*.f64 x (/.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(*.f64 1 (/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(*.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (*.f64 x (/.f64 1 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) |
(*.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 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(*.f64 (/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))) (/.f64 (sqrt.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)))) |
(*.f64 (sqrt.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (*.f64 (sqrt.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (/.f64 1 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) |
(*.f64 (cbrt.f64 (/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) 2) (cbrt.f64 (/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) 2) (*.f64 (cbrt.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (/.f64 1 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) |
(*.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 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (neg.f64 x)) (/.f64 1 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) |
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))) (/.f64 x (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 2)) (/.f64 x (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) x) |
(*.f64 (/.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)))) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (pow.f64 (+.f64 x 1) 3))) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) |
(*.f64 (/.f64 x (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2)) (-.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 (-.f64 1 (pow.f64 (+.f64 x 1) 3))) (*.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2))) (*.f64 (*.f64 x (-.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 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (*.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (neg.f64 x))) |
(*.f64 (/.f64 x 1) (/.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(*.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))) (/.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)))) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 2)) (/.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) |
(*.f64 (/.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) 1) (/.f64 (sqrt.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (sqrt.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 2)) (/.f64 (sqrt.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))) (/.f64 (cbrt.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 2)) (cbrt.f64 (/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) |
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 x)) |
(*.f64 (/.f64 x (/.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 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) 2) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (cbrt.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 x (-.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 x (+.f64 1 (pow.f64 (+.f64 x 1) 9/2))) (*.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 x (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 x (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (pow.f64 (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) 2))) (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 1 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) 2))) (cbrt.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)))) (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(*.f64 (/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2))))) |
(*.f64 (/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (-.f64 (pow.f64 (+.f64 x 1) 3) 1)) (-.f64 (pow.f64 (+.f64 x 1) 3/2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 x)) |
(*.f64 (/.f64 (*.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (neg.f64 x)) (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)))) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) |
(*.f64 (/.f64 (*.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (neg.f64 x)) (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2)))) (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2)))) |
(*.f64 (/.f64 (/.f64 x (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2))))) |
(*.f64 (/.f64 (/.f64 x (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(*.f64 (/.f64 (/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2))))) |
(*.f64 (/.f64 (/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(pow.f64 (/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) 3) |
(pow.f64 (pow.f64 (/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) -1) |
(neg.f64 (/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) |
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 2)) |
(log.f64 (exp.f64 (/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))) |
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) 3) (pow.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) |
(exp.f64 (-.f64 (log.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (log1p.f64 (pow.f64 (+.f64 x 1) 3/2)))) |
(exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (log1p.f64 (pow.f64 (+.f64 x 1) 3/2))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) |
(+.f64 (*.f64 x 2) (*.f64 x (-.f64 x (sqrt.f64 (+.f64 x 1))))) |
(+.f64 (*.f64 x 2) (*.f64 (-.f64 x (sqrt.f64 (+.f64 x 1))) x)) |
(+.f64 (*.f64 x (-.f64 x (sqrt.f64 (+.f64 x 1)))) (*.f64 x 2)) |
(+.f64 (*.f64 x (+.f64 2 x)) (*.f64 x (neg.f64 (sqrt.f64 (+.f64 x 1))))) |
(+.f64 (*.f64 x (neg.f64 (sqrt.f64 (+.f64 x 1)))) (*.f64 x (+.f64 2 x))) |
(+.f64 (*.f64 (+.f64 2 x) x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) x)) |
(+.f64 (*.f64 (-.f64 x (sqrt.f64 (+.f64 x 1))) x) (*.f64 x 2)) |
(+.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) x) (*.f64 (+.f64 2 x) x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))) 1) |
(/.f64 x (/.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 1 (/.f64 1 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (/.f64 1 x)) |
(/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) 1) |
(/.f64 (sqrt.f64 x) (/.f64 1 (*.f64 (sqrt.f64 x) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (sqrt.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (/.f64 1 (sqrt.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))))) |
(/.f64 (sqrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (*.f64 (sqrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) x))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (*.f64 (cbrt.f64 x) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (cbrt.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) 2) (/.f64 1 (cbrt.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) 2) (/.f64 1 (*.f64 (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) x))) |
(/.f64 (-.f64 (pow.f64 (+.f64 2 x) 2) (+.f64 x 1)) (/.f64 (+.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) x)) |
(/.f64 (-.f64 (pow.f64 (+.f64 2 x) 3) (pow.f64 (+.f64 x 1) 3/2)) (/.f64 (+.f64 x (+.f64 (+.f64 1 (*.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (pow.f64 (+.f64 2 x) 2))) x)) |
(/.f64 (*.f64 x (sqrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (/.f64 1 (sqrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 1 (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (*.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(/.f64 (*.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (+.f64 2 x) 2) (+.f64 x 1))) (+.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (+.f64 2 x) 3) (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x (+.f64 (+.f64 1 (*.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (pow.f64 (+.f64 2 x) 2)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 2 x) 2) (+.f64 x 1)) x) (+.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 2 x) 3) (pow.f64 (+.f64 x 1) 3/2)) x) (+.f64 x (+.f64 (+.f64 1 (*.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (pow.f64 (+.f64 2 x) 2)))) |
(pow.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) 1) |
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) 3) |
(pow.f64 (pow.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))))) |
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))) |
(exp.f64 (log.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))) |
(+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3/2) 1)) |
(+.f64 (pow.f64 (+.f64 x 1) 3/2) 0) |
(-.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) 1) |
(-.f64 (exp.f64 (log.f64 (+.f64 2 (pow.f64 (+.f64 x 1) 3/2)))) 2) |
(-.f64 (/.f64 1 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1)) |
(*.f64 1 (pow.f64 (+.f64 x 1) 3/2)) |
(*.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))) |
(*.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 1)) |
(*.f64 (pow.f64 (+.f64 x 1) 3/2) 1) |
(*.f64 (pow.f64 (+.f64 x 1) 3/4) (pow.f64 (+.f64 x 1) 3/4)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (*.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 1/4)) (pow.f64 (+.f64 x 1) 1/4)) |
(*.f64 (*.f64 (+.f64 x 1) (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3/2) (pow.f64 (sqrt.f64 (+.f64 x 1)) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 3) (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 3)) |
(*.f64 (pow.f64 1 3/2) (pow.f64 (+.f64 x 1) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 3/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2)) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x -1) (sqrt.f64 (+.f64 x 1))) (fma.f64 x x -1)) (+.f64 x 1)) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x -1) (sqrt.f64 (+.f64 x 1))) (-.f64 (pow.f64 x 3) 1)) (+.f64 1 (+.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (sqrt.f64 (+.f64 x 1))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 1 x) (-.f64 1 x)))) (+.f64 (fma.f64 x x -1) x)) |
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (sqrt.f64 (+.f64 x 1))) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (-.f64 1 x) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 x)) (*.f64 (*.f64 x x) (-.f64 1 x))))) |
(/.f64 (fma.f64 x x -1) (/.f64 (+.f64 x -1) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 (fma.f64 x x (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (*.f64 (fma.f64 x x -1) (sqrt.f64 (+.f64 x 1))) (+.f64 x -1)) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (sqrt.f64 (+.f64 x 1))) (fma.f64 x x (-.f64 1 x))) |
(sqrt.f64 (pow.f64 (+.f64 x 1) 3)) |
(log.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x 1) 3/2)))) |
(cbrt.f64 (pow.f64 (+.f64 x 1) 9/2)) |
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 3/2))) |
(exp.f64 (*.f64 3/2 (log1p.f64 x))) |
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 3)) |
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1)) |
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x 1) 3/2))) |
| 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)) |
(fma.f64 1/2 x (*.f64 x (*.f64 x -1/8))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -5/128 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) (*.f64 -5/128 (pow.f64 x 4))))) |
(/.f64 (pow.f64 x 2) (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1)) |
(/.f64 (*.f64 x x) (+.f64 1 (pow.f64 (/.f64 1 x) -3/2))) |
(/.f64 x (/.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) x)) |
(/.f64 (pow.f64 x 2) (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) |
(/.f64 (*.f64 x x) (+.f64 1 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) |
(/.f64 x (/.f64 (+.f64 1 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)) |
x |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x) |
(fma.f64 1/2 (*.f64 x x) x) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 1/8 (pow.f64 x 3) x)) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 3) 1/8 x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/16 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 3) x))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/16 (pow.f64 x 4) (fma.f64 (pow.f64 x 3) 1/8 x))) |
(pow.f64 x 2) |
(*.f64 x x) |
(pow.f64 x 2) |
(*.f64 x x) |
1 |
(+.f64 1 (*.f64 3/2 x)) |
(+.f64 1 (*.f64 x 3/2)) |
(fma.f64 x 3/2 1) |
(+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 3/2 x))) |
(+.f64 1 (fma.f64 3/8 (*.f64 x x) (*.f64 x 3/2))) |
(+.f64 (fma.f64 x 3/2 1) (*.f64 3/8 (*.f64 x x))) |
(+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 3/2 x)))) |
(fma.f64 -1/16 (pow.f64 x 3) (+.f64 1 (fma.f64 3/8 (*.f64 x x) (*.f64 x 3/2)))) |
(fma.f64 (pow.f64 x 3) -1/16 (+.f64 (fma.f64 x 3/2 1) (*.f64 3/8 (*.f64 x x)))) |
(sqrt.f64 (pow.f64 x 3)) |
(+.f64 (sqrt.f64 (pow.f64 x 3)) (*.f64 3/2 (sqrt.f64 x))) |
(fma.f64 3/2 (sqrt.f64 x) (sqrt.f64 (pow.f64 x 3))) |
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (+.f64 (sqrt.f64 (pow.f64 x 3)) (*.f64 3/2 (sqrt.f64 x)))) |
(fma.f64 3/8 (sqrt.f64 (/.f64 1 x)) (+.f64 (sqrt.f64 (pow.f64 x 3)) (*.f64 3/2 (sqrt.f64 x)))) |
(fma.f64 3/8 (sqrt.f64 (/.f64 1 x)) (fma.f64 3/2 (sqrt.f64 x) (sqrt.f64 (pow.f64 x 3)))) |
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (+.f64 (sqrt.f64 (pow.f64 x 3)) (+.f64 (*.f64 3/2 (sqrt.f64 x)) (*.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))) |
(fma.f64 3/8 (sqrt.f64 (/.f64 1 x)) (+.f64 (sqrt.f64 (pow.f64 x 3)) (fma.f64 3/2 (sqrt.f64 x) (*.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))) |
(+.f64 (fma.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 3/2 (sqrt.f64 x))) (fma.f64 3/8 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (pow.f64 x 3)))) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
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(+.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (*.f64 3/2 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) x)) |
(fma.f64 3/2 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) |
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))) |
(+.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)) (/.f64 (*.f64 3/2 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) x))) |
(+.f64 (fma.f64 3/2 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (*.f64 3/8 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)))) |
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 -1/16 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))))) |
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(+.f64 (fma.f64 -1/16 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)) (*.f64 3/8 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)))) (fma.f64 3/2 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) |
(+.f64 (fma.f64 3/2 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (fma.f64 -1/16 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)) (*.f64 3/8 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) 1) |
(*.f64 x (/.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(*.f64 x (/.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(*.f64 x (/.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
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(*.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (*.f64 x (/.f64 1 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) |
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(*.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
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(*.f64 x (/.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
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(*.f64 (/.f64 (sqrt.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))) (/.f64 (sqrt.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))) 2) |
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(*.f64 x (/.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) 2) (cbrt.f64 (/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) |
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(*.f64 x (/.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
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(pow.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))) 2) |
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 2)) (*.f64 (/.f64 x (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (*.f64 x (/.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 2)) |
(*.f64 (/.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) x) |
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(pow.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))) 2) |
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(*.f64 (/.f64 x (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))))) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) |
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(*.f64 (/.f64 x (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2)) (-.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)))) |
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(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 9/2))) (*.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))) (+.f64 (pow.f64 (+.f64 x 1) 3) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) |
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(*.f64 (/.f64 x (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 -2 (-.f64 x (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 x (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 -2 x))) |
(*.f64 (/.f64 x 1) (/.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
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(pow.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))) 2) |
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(/.f64 (*.f64 x (/.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 2)) |
(*.f64 (/.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 2)) (*.f64 (/.f64 x (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (*.f64 x (/.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 2)) |
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 2)) (*.f64 (/.f64 x (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (*.f64 x (/.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 2)) |
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(*.f64 x (/.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
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(*.f64 x (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1))))) |
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(*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (fma.f64 x x -1) (+.f64 x -1))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (sqrt.f64 (+.f64 x 1))) (fma.f64 x x (-.f64 1 x))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) (fma.f64 x x (-.f64 1 x))) (sqrt.f64 (+.f64 x 1))) |
(*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (+.f64 (pow.f64 x 3) 1) (fma.f64 x x (-.f64 1 x)))) |
(sqrt.f64 (pow.f64 (+.f64 x 1) 3)) |
(log.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2))) |
(+.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1)) |
(pow.f64 (+.f64 x 1) 3/2) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x 1) 3/2)))) |
(+.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1)) |
(pow.f64 (+.f64 x 1) 3/2) |
(cbrt.f64 (pow.f64 (+.f64 x 1) 9/2)) |
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 3/2))) |
(+.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1)) |
(pow.f64 (+.f64 x 1) 3/2) |
(exp.f64 (*.f64 3/2 (log1p.f64 x))) |
(pow.f64 (exp.f64 3/2) (log1p.f64 x)) |
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 3)) |
(pow.f64 (exp.f64 3/2) (log1p.f64 x)) |
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1)) |
(pow.f64 (exp.f64 3/2) (log1p.f64 x)) |
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x 1) 3/2))) |
(+.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1)) |
(pow.f64 (+.f64 x 1) 3/2) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (pow.f64 (+.f64 x 1) 3/2) | |
| ✓ | 0.0b | (+.f64 2 (sqrt.f64 (+.f64 x 1))) |
| ✓ | 3.3b | (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) |
| ✓ | 7.7b | (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))) |
Compiled 55 to 44 computations (20% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))) |
| 3.0ms | x | @ | inf | (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))) |
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))) |
| 0.0ms | x | @ | inf | (+.f64 2 (sqrt.f64 (+.f64 x 1))) |
| 0.0ms | x | @ | -inf | (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) |
| 1× | batch-egg-rewrite |
| 1356× | associate-/r* |
| 962× | associate-/l* |
| 784× | associate-/r/ |
| 348× | add-sqr-sqrt |
| 330× | *-un-lft-identity |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 83 |
| 1 | 342 | 83 |
| 2 | 4645 | 83 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) |
(+.f64 2 (sqrt.f64 (+.f64 x 1))) |
| Outputs |
|---|
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(+.f64 5 x) (*.f64 -2 (sqrt.f64 (+.f64 x 1))))))) (cbrt.f64 (+.f64 (+.f64 5 x) (*.f64 -2 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 3 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 x 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 2))))) |
| 1× | egg-herbie |
| 1464× | associate-+r+ |
| 580× | associate-*r* |
| 568× | associate-/l* |
| 528× | associate-*l* |
| 514× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 517 | 9744 |
| 1 | 1403 | 9260 |
| 2 | 6871 | 9260 |
| 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 (-.f64 (pow.f64 (/.f64 1 x) -3/2) 1) x) |
(/.f64 (-.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1) x) |
(*.f64 3/2 x) |
(+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 3/2 x))) |
(+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 (*.f64 3/8 (pow.f64 x 2)) (+.f64 (*.f64 3/128 (pow.f64 x 4)) (*.f64 3/2 x)))) |
(-.f64 (pow.f64 (/.f64 1 x) -3/2) 1) |
(-.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) (*.f64 3/2 (sqrt.f64 x))) 1) |
(-.f64 (+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (+.f64 (pow.f64 (/.f64 1 x) -3/2) (*.f64 3/2 (sqrt.f64 x)))) 1) |
(-.f64 (+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (+.f64 (pow.f64 (/.f64 1 x) -3/2) (+.f64 (*.f64 3/2 (sqrt.f64 x)) (*.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))) 1) |
(-.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1) |
(-.f64 (+.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))) 1) |
(-.f64 (+.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))) 1) |
(-.f64 (+.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 -1/16 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))))) 1) |
3 |
(+.f64 (*.f64 1/2 x) 3) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 3)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 3 (*.f64 1/16 (pow.f64 x 3))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))))) 1) |
(*.f64 1 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))) 1) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))) (sqrt.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))))) |
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 1 (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))) 2) (cbrt.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) 2) (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 1 (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))))) |
(*.f64 (/.f64 1 (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) |
(*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 -1 (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))) (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))) 2)) (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (cbrt.f64 (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 x x) (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 2))) (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (-.f64 x 2) (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 3))) (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (fma.f64 x x (*.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 x 1)) x)))))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 2))) (-.f64 (-.f64 x 2) (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 3))) (fma.f64 x x (*.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 x 1)) x))))) |
(*.f64 (/.f64 -1 (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) 1) (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))) 2)) (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (cbrt.f64 (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) 2) (sqrt.f64 (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (sqrt.f64 (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) 2) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))) 2)) (cbrt.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) 2) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) |
(*.f64 (/.f64 1 (/.f64 (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 2)))) (neg.f64 (-.f64 (-.f64 x 2) (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 3)))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 x 1)) x)))))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 2) (*.f64 x x))) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 x 1)) x))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (+.f64 x 1))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (+.f64 x 2) 3))) (-.f64 (+.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (+.f64 x 1)) (*.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 2)))) (-.f64 (-.f64 x 2) (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 3)))) (fma.f64 x x (*.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 x 1)) x))))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))) (-.f64 1 (pow.f64 (+.f64 x 1) 3))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))) (-.f64 -1 (pow.f64 (+.f64 x 1) 9/2))) (+.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3) (neg.f64 (pow.f64 (+.f64 x 1) 3/2))))) |
(*.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) (/.f64 1 (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))) (-.f64 1 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (+.f64 x 1) 3)) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (+.f64 x 1) 3))))) (-.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (+.f64 x 1) 3)))) |
(*.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) (/.f64 1 (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))) (+.f64 1 (pow.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (+.f64 x 1) 3)) 3))) (-.f64 (+.f64 1 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (+.f64 x 1) 3)) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (+.f64 x 1) 3)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (+.f64 x 1) 3)))) |
(*.f64 (/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 2)))) (sqrt.f64 (-.f64 (-.f64 x 2) (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 3)))) (sqrt.f64 (fma.f64 x x (*.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 x 1)) x)))))) |
(*.f64 (/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))) 2)) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 2)))) (cbrt.f64 (-.f64 (-.f64 x 2) (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))) 2)) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 x 1)) x)))))) |
(pow.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))) 1) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))) 3) |
(pow.f64 (pow.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) -1) |
(neg.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 -2 (+.f64 x (sqrt.f64 (+.f64 x 1)))))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) 3) (pow.f64 (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))))) |
(exp.f64 (log.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 3/2))) 2) |
(-.f64 (exp.f64 (log.f64 (+.f64 0 (pow.f64 (+.f64 x 1) 3/2)))) 1) |
(-.f64 (/.f64 1 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 (pow.f64 (+.f64 x 1) 3) (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) |
(-.f64 (+.f64 -1 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 3/2)))) 1) |
(*.f64 1 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) 1) |
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) |
(*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) |
(*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) |
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/4)) (-.f64 (pow.f64 (+.f64 x 1) 3/4) 1)) |
(*.f64 (/.f64 1 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 1 (pow.f64 (+.f64 x 1) 3))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (-.f64 1 (pow.f64 (+.f64 x 1) 3))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (-.f64 -1 (pow.f64 (+.f64 x 1) 9/2))) (+.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3) (neg.f64 (pow.f64 (+.f64 x 1) 3/2))))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) (-.f64 1 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (+.f64 x 1) 3)) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (+.f64 x 1) 3))))) (-.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (+.f64 x 1) 3)))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) (+.f64 1 (pow.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (+.f64 x 1) 3)) 3))) (-.f64 (+.f64 1 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (+.f64 x 1) 3)) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (+.f64 x 1) 3)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (+.f64 x 1) 3)))) |
(/.f64 1 (/.f64 1 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) 1) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 1 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))) |
(/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) 2) (/.f64 1 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (/.f64 1 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) (+.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) (/.f64 1 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3))) (/.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3))))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2))) (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)))) (/.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)))) (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3))) (neg.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2))) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/4)) (/.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3/4) 1))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) 1) (-.f64 (pow.f64 (+.f64 x 1) 3/2) -1)) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) 1) (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (sqrt.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) (sqrt.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (*.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (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 -1 (pow.f64 (+.f64 x 1) 9/2)) 1) (+.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) |
(pow.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) 1) |
(pow.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) 2) |
(pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) 3) |
(pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) 2)) |
(log.f64 (exp.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))) |
(cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) 3)) |
(expm1.f64 (log.f64 (+.f64 0 (pow.f64 (+.f64 x 1) 3/2)))) |
(exp.f64 (log.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) |
(fma.f64 1 (pow.f64 (+.f64 x 1) 3/2) -1) |
(fma.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)) -1) |
(fma.f64 (pow.f64 (+.f64 x 1) 3/4) (pow.f64 (+.f64 x 1) 3/4) -1) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) -1) |
(-.f64 (exp.f64 (log.f64 (+.f64 3 (sqrt.f64 (+.f64 x 1))))) 1) |
(-.f64 (/.f64 4 (-.f64 2 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(-.f64 (+.f64 2 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 1) |
(*.f64 1 (+.f64 2 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 1) |
(*.f64 (sqrt.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (cbrt.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (-.f64 3 x) (/.f64 1 (-.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8) (/.f64 1 (+.f64 (+.f64 5 x) (*.f64 -2 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 1 (-.f64 2 (sqrt.f64 (+.f64 x 1)))) (-.f64 3 x)) |
(*.f64 (/.f64 1 (+.f64 (+.f64 5 x) (*.f64 -2 (sqrt.f64 (+.f64 x 1))))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8)) |
(*.f64 (/.f64 (-.f64 3 x) (-.f64 3 x)) (+.f64 2 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 (-.f64 3 x) (-.f64 8 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (+.f64 5 x) (*.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8) (-.f64 16 (*.f64 (+.f64 (+.f64 x 1) (*.f64 -2 (sqrt.f64 (+.f64 x 1)))) (+.f64 (+.f64 x 1) (*.f64 -2 (sqrt.f64 (+.f64 x 1))))))) (+.f64 (-.f64 3 x) (*.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8) (+.f64 64 (pow.f64 (+.f64 (+.f64 x 1) (*.f64 -2 (sqrt.f64 (+.f64 x 1)))) 3))) (-.f64 (+.f64 16 (*.f64 (+.f64 (+.f64 x 1) (*.f64 -2 (sqrt.f64 (+.f64 x 1)))) (+.f64 (+.f64 x 1) (*.f64 -2 (sqrt.f64 (+.f64 x 1)))))) (*.f64 4 (+.f64 (+.f64 x 1) (*.f64 -2 (sqrt.f64 (+.f64 x 1))))))) |
(/.f64 1 (/.f64 1 (+.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (-.f64 3 x) (-.f64 2 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8) (+.f64 (+.f64 5 x) (*.f64 -2 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (sqrt.f64 (-.f64 3 x)) (/.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 3 x)))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8)) (/.f64 (+.f64 (+.f64 5 x) (*.f64 -2 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 3 x)) (cbrt.f64 (-.f64 3 x))) (/.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (-.f64 3 x)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8))) (/.f64 (+.f64 (+.f64 5 x) (*.f64 -2 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8)))) |
(/.f64 (+.f64 x -3) (-.f64 (sqrt.f64 (+.f64 x 1)) 2)) |
(/.f64 (neg.f64 (-.f64 3 x)) (neg.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8)) (neg.f64 (+.f64 (+.f64 5 x) (*.f64 -2 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (/.f64 (-.f64 3 x) 1) (-.f64 2 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (/.f64 (-.f64 3 x) (sqrt.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (/.f64 (-.f64 3 x) (*.f64 (cbrt.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8) 1) (+.f64 (+.f64 5 x) (*.f64 -2 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8) (sqrt.f64 (+.f64 (+.f64 5 x) (*.f64 -2 (sqrt.f64 (+.f64 x 1)))))) (sqrt.f64 (+.f64 (+.f64 5 x) (*.f64 -2 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8) (*.f64 (cbrt.f64 (+.f64 (+.f64 5 x) (*.f64 -2 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (+.f64 (+.f64 5 x) (*.f64 -2 (sqrt.f64 (+.f64 x 1))))))) (cbrt.f64 (+.f64 (+.f64 5 x) (*.f64 -2 (sqrt.f64 (+.f64 x 1)))))) |
(pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 1) |
(pow.f64 (sqrt.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1)))) 2) |
(pow.f64 (cbrt.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1)))) 3) |
(pow.f64 (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 2)) |
(log.f64 (exp.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1)))))) |
(cbrt.f64 (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 3)) |
(expm1.f64 (log.f64 (+.f64 3 (sqrt.f64 (+.f64 x 1))))) |
(exp.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1)))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 2) |
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 2) |
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 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)) |
(fma.f64 1/2 x (*.f64 (*.f64 -1/8 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)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -5/128 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) (*.f64 -5/128 (pow.f64 x 4))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 1 x) -3/2) 1) x) |
(/.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) -1) x) |
(/.f64 (-.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1) x) |
(/.f64 (expm1.f64 (*.f64 3/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) x) |
(/.f64 (expm1.f64 (*.f64 3/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x) |
(*.f64 3/2 x) |
(*.f64 x 3/2) |
(+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 3/2 x)) |
(fma.f64 3/8 (*.f64 x x) (*.f64 x 3/2)) |
(fma.f64 x 3/2 (*.f64 (*.f64 3/8 x) x)) |
(+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 3/2 x))) |
(fma.f64 -1/16 (pow.f64 x 3) (fma.f64 3/8 (*.f64 x x) (*.f64 x 3/2))) |
(fma.f64 (pow.f64 x 3) -1/16 (fma.f64 x 3/2 (*.f64 (*.f64 3/8 x) x))) |
(+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 (*.f64 3/8 (pow.f64 x 2)) (+.f64 (*.f64 3/128 (pow.f64 x 4)) (*.f64 3/2 x)))) |
(fma.f64 -1/16 (pow.f64 x 3) (fma.f64 3/8 (*.f64 x x) (fma.f64 3/128 (pow.f64 x 4) (*.f64 x 3/2)))) |
(fma.f64 (pow.f64 x 3) -1/16 (fma.f64 (*.f64 x x) 3/8 (fma.f64 (pow.f64 x 4) 3/128 (*.f64 x 3/2)))) |
(-.f64 (pow.f64 (/.f64 1 x) -3/2) 1) |
(+.f64 (pow.f64 (/.f64 1 x) -3/2) -1) |
(-.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) (*.f64 3/2 (sqrt.f64 x))) 1) |
(+.f64 (pow.f64 (/.f64 1 x) -3/2) (-.f64 (*.f64 3/2 (sqrt.f64 x)) 1)) |
(+.f64 (pow.f64 (/.f64 1 x) -3/2) (fma.f64 3/2 (sqrt.f64 x) -1)) |
(-.f64 (+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (+.f64 (pow.f64 (/.f64 1 x) -3/2) (*.f64 3/2 (sqrt.f64 x)))) 1) |
(+.f64 (fma.f64 3/8 (sqrt.f64 (/.f64 1 x)) (+.f64 (pow.f64 (/.f64 1 x) -3/2) (*.f64 3/2 (sqrt.f64 x)))) -1) |
(+.f64 -1 (fma.f64 3/8 (sqrt.f64 (/.f64 1 x)) (fma.f64 3/2 (sqrt.f64 x) (pow.f64 (/.f64 1 x) -3/2)))) |
(-.f64 (+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (+.f64 (pow.f64 (/.f64 1 x) -3/2) (+.f64 (*.f64 3/2 (sqrt.f64 x)) (*.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))) 1) |
(+.f64 (fma.f64 3/8 (sqrt.f64 (/.f64 1 x)) (+.f64 (pow.f64 (/.f64 1 x) -3/2) (fma.f64 3/2 (sqrt.f64 x) (*.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))) -1) |
(+.f64 -1 (+.f64 (fma.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 3/2 (sqrt.f64 x))) (fma.f64 3/8 (sqrt.f64 (/.f64 1 x)) (pow.f64 (/.f64 1 x) -3/2)))) |
(-.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1) |
(expm1.f64 (*.f64 3/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(expm1.f64 (*.f64 3/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) |
(-.f64 (+.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))) 1) |
(+.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (-.f64 (*.f64 3/2 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)) 1)) |
(+.f64 (/.f64 3/2 (/.f64 x (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (expm1.f64 (*.f64 3/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) |
(+.f64 (expm1.f64 (*.f64 3/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 3/2 (/.f64 x (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))) |
(-.f64 (+.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))) 1) |
(+.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (-.f64 (fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)) (*.f64 3/2 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x))) 1)) |
(+.f64 (fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (/.f64 3/2 (/.f64 x (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))) (expm1.f64 (*.f64 3/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) |
(+.f64 (expm1.f64 (*.f64 3/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (/.f64 3/2 (/.f64 x (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))) |
(-.f64 (+.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 -1/16 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))))) 1) |
(+.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (-.f64 (fma.f64 -1/16 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 x 3)) (fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)) (*.f64 3/2 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)))) 1)) |
(+.f64 (fma.f64 -1/16 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)) (fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (/.f64 3/2 (/.f64 x (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))) (expm1.f64 (*.f64 3/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) |
(+.f64 (expm1.f64 (*.f64 3/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (fma.f64 -1/16 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)) (fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (/.f64 3/2 (/.f64 x (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))) |
3 |
(+.f64 (*.f64 1/2 x) 3) |
(fma.f64 1/2 x 3) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 3)) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 3)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 3 (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 3) (*.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) 3))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))))) 1) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1))))) |
(*.f64 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 2) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (+.f64 -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 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))) 1) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))) (sqrt.f64 (/.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 2) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (*.f64 (sqrt.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 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))) 2)) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))) 2) (cbrt.f64 (/.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 2) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) 2) (*.f64 (cbrt.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 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 1 (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 -1 (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (*.f64 -1 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))) (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))) (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1)))))) (sqrt.f64 (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))) 2)) (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (cbrt.f64 (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (cbrt.f64 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (cbrt.f64 (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1)))))) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1))))) 2)) |
(*.f64 (/.f64 1 (-.f64 (*.f64 x x) (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 2))) (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (-.f64 x 2) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (*.f64 1 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 x -2) (sqrt.f64 (+.f64 x 1))))) (-.f64 (*.f64 x x) (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 2))) |
(*.f64 (+.f64 x (-.f64 -2 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 2)))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 3))) (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (fma.f64 x x (*.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 x 1)) x)))))) |
(*.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 3))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (fma.f64 x x (*.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 x 1)) x))))) |
(*.f64 (fma.f64 x x (*.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 x)))) (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 3)))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 2))) (-.f64 (-.f64 x 2) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (*.f64 1 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 x -2) (sqrt.f64 (+.f64 x 1))))) (-.f64 (*.f64 x x) (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 2))) |
(*.f64 (+.f64 x (-.f64 -2 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 2)))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 3))) (fma.f64 x x (*.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 x 1)) x))))) |
(*.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 3))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (fma.f64 x x (*.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 x 1)) x))))) |
(*.f64 (fma.f64 x x (*.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 x)))) (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 3)))) |
(*.f64 (/.f64 -1 (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) |
(/.f64 (*.f64 -1 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) 1) (/.f64 (sqrt.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 2) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1))))) |
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(pow.f64 (/.f64 (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) -1) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1))))) |
(neg.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 -2 (+.f64 x (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (neg.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 -2 (+.f64 x (sqrt.f64 (+.f64 x 1))))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) 2)) |
(fabs.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1)))))) |
(log.f64 (exp.f64 (/.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 2) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.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 2) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1))))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))) 3)) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1))))) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) 3) (pow.f64 (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))) 3))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1))))) |
(expm1.f64 (log1p.f64 (/.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 2) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1))))) |
(exp.f64 (log.f64 (/.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 2) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))) 1)) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1))))) |
(log1p.f64 (expm1.f64 (/.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 2) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1))))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 3/2))) 2) |
(+.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 3/2))) -2) |
(+.f64 -1 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 3/2)))) |
(-.f64 (exp.f64 (log.f64 (+.f64 0 (pow.f64 (+.f64 x 1) 3/2)))) 1) |
(+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) |
(-.f64 (/.f64 1 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 (pow.f64 (+.f64 x 1) 3) (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) |
(-.f64 (+.f64 -1 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 3/2)))) 1) |
(+.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 3/2))) -2) |
(+.f64 -1 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 3/2)))) |
(*.f64 1 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) |
(+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) 1) |
(+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) |
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) |
(+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) |
(*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) 2)) |
(+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) |
(+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) |
(*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) (+.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) 1) (pow.f64 (+.f64 x 1) 3/2))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 9/2)) (-.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (pow.f64 (+.f64 x 1) 3))) |
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/4)) (-.f64 (pow.f64 (+.f64 x 1) 3/4) 1)) |
(+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) |
(*.f64 (/.f64 1 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 1 (pow.f64 (+.f64 x 1) 3))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) (+.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) 1) (pow.f64 (+.f64 x 1) 3/2))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 9/2)) (-.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (pow.f64 (+.f64 x 1) 3))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (-.f64 1 (pow.f64 (+.f64 x 1) 3))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) |
(+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (-.f64 -1 (pow.f64 (+.f64 x 1) 9/2))) (+.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3) (neg.f64 (pow.f64 (+.f64 x 1) 3/2))))) |
(*.f64 (+.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 -1 (pow.f64 (+.f64 x 1) 9/2)))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) (-.f64 1 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (+.f64 x 1) 3)) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (+.f64 x 1) 3))))) (-.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (+.f64 x 1) 3)))) |
(*.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (+.f64 x 1) 3))) (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) (-.f64 1 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (+.f64 x 1) 3)) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (+.f64 x 1) 3)))))) |
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) (-.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (+.f64 x 1) 3)))) (-.f64 1 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (+.f64 x 1) 3)) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (+.f64 x 1) 3))))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) (+.f64 1 (pow.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (+.f64 x 1) 3)) 3))) (-.f64 (+.f64 1 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (+.f64 x 1) 3)) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (+.f64 x 1) 3)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (+.f64 x 1) 3)))) |
(*.f64 (+.f64 1 (-.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (+.f64 x 1) 3)) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (+.f64 x 1) 3))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (+.f64 x 1) 3)))) (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) (+.f64 1 (pow.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (+.f64 x 1) 3)) 3)))) |
(*.f64 (-.f64 (fma.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (+.f64 x 1) 3)) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (+.f64 x 1) 3)) 1) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (+.f64 x 1) 3))) (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) (+.f64 1 (pow.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (+.f64 x 1) 3)) 3)))) |
(/.f64 1 (/.f64 1 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) |
(+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) 1) |
(+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 1 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))) |
(+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) |
(/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) 2))) |
(+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) 2) (/.f64 1 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))) |
(+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (/.f64 1 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) (+.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) (+.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) 1) (pow.f64 (+.f64 x 1) 3/2))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 9/2)) (-.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (pow.f64 (+.f64 x 1) 3))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) (/.f64 1 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) (+.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) 1) (pow.f64 (+.f64 x 1) 3/2))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 9/2)) (-.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (pow.f64 (+.f64 x 1) 3))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3))) (/.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3))) (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)))) |
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3))) (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2))) (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2))) (+.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) 1) (pow.f64 (+.f64 x 1) 3/2))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)))) |
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2))) (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2))) (+.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (+.f64 x 1) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)))) (/.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3))))) |
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3))) (/.f64 (/.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3))))) |
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3))) (/.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)))) (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2))))) |
(/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2))) (/.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) 1) (pow.f64 (+.f64 x 1) 3/2)) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2))))) |
(/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2))) (/.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (+.f64 x 1) 3))) (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3))) (neg.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2))) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) (+.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) 1) (pow.f64 (+.f64 x 1) 3/2))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 9/2)) (-.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (pow.f64 (+.f64 x 1) 3))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/4)) (/.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3/4) 1))) |
(+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) |
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) 1) (-.f64 (pow.f64 (+.f64 x 1) 3/2) -1)) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) 1) (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (sqrt.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) (sqrt.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (*.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (cbrt.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))) (cbrt.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) 1) (+.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) (+.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) 1) (pow.f64 (+.f64 x 1) 3/2))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 9/2)) (-.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (pow.f64 (+.f64 x 1) 3))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) (+.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) 1) (pow.f64 (+.f64 x 1) 3/2))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 9/2)) (-.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (pow.f64 (+.f64 x 1) 3))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) (+.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) 1) (pow.f64 (+.f64 x 1) 3/2))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 9/2)) (-.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (pow.f64 (+.f64 x 1) 3))) |
(pow.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) 1) |
(+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) |
(pow.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) 2) |
(+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) |
(pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) 3) |
(+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) |
(pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) 3) 1/3) |
(+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) |
(sqrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) 2)) |
(fabs.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) |
(log.f64 (exp.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) |
(+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))) |
(+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) |
(cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) 3)) |
(+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) |
(expm1.f64 (log.f64 (+.f64 0 (pow.f64 (+.f64 x 1) 3/2)))) |
(+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) |
(exp.f64 (log.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) |
(+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) |
(exp.f64 (*.f64 (log.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) 1)) |
(+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) |
(log1p.f64 (expm1.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) |
(+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) |
(fma.f64 1 (pow.f64 (+.f64 x 1) 3/2) -1) |
(+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) |
(fma.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)) -1) |
(fma.f64 (pow.f64 (+.f64 x 1) 3/4) (pow.f64 (+.f64 x 1) 3/4) -1) |
(+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) -1) |
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1) |
(+.f64 2 (expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))) |
(-.f64 (exp.f64 (log.f64 (+.f64 3 (sqrt.f64 (+.f64 x 1))))) 1) |
(+.f64 (+.f64 3 (sqrt.f64 (+.f64 x 1))) -1) |
(+.f64 2 (sqrt.f64 (+.f64 x 1))) |
(-.f64 (/.f64 4 (-.f64 2 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(-.f64 (+.f64 2 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 1) |
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1) |
(+.f64 2 (expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 1 (+.f64 2 (sqrt.f64 (+.f64 x 1)))) |
(+.f64 (+.f64 3 (sqrt.f64 (+.f64 x 1))) -1) |
(+.f64 2 (sqrt.f64 (+.f64 x 1))) |
(*.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 1) |
(+.f64 (+.f64 3 (sqrt.f64 (+.f64 x 1))) -1) |
(+.f64 2 (sqrt.f64 (+.f64 x 1))) |
(*.f64 (sqrt.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(+.f64 (+.f64 3 (sqrt.f64 (+.f64 x 1))) -1) |
(+.f64 2 (sqrt.f64 (+.f64 x 1))) |
(*.f64 (cbrt.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (cbrt.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 2))) |
(*.f64 (-.f64 3 x) (/.f64 1 (-.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (-.f64 3 x) (-.f64 2 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8) (/.f64 1 (+.f64 (+.f64 5 x) (*.f64 -2 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8) 1) (+.f64 5 (+.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) -2)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8) (fma.f64 (sqrt.f64 (+.f64 x 1)) -2 (+.f64 x 5))) |
(*.f64 (/.f64 1 (-.f64 2 (sqrt.f64 (+.f64 x 1)))) (-.f64 3 x)) |
(*.f64 (-.f64 3 x) (/.f64 1 (-.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (-.f64 3 x) (-.f64 2 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 1 (+.f64 (+.f64 5 x) (*.f64 -2 (sqrt.f64 (+.f64 x 1))))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8) 1) (+.f64 5 (+.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) -2)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8) (fma.f64 (sqrt.f64 (+.f64 x 1)) -2 (+.f64 x 5))) |
(*.f64 (/.f64 (-.f64 3 x) (-.f64 3 x)) (+.f64 2 (sqrt.f64 (+.f64 x 1)))) |
(+.f64 (+.f64 3 (sqrt.f64 (+.f64 x 1))) -1) |
(+.f64 2 (sqrt.f64 (+.f64 x 1))) |
(*.f64 (/.f64 (-.f64 3 x) (-.f64 8 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (+.f64 5 x) (*.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (-.f64 3 x) (-.f64 8 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (+.f64 x 5) (*.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (-.f64 3 x) (-.f64 8 (pow.f64 (+.f64 x 1) 3/2))) (fma.f64 2 (sqrt.f64 (+.f64 x 1)) (+.f64 x 5))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8) (-.f64 16 (*.f64 (+.f64 (+.f64 x 1) (*.f64 -2 (sqrt.f64 (+.f64 x 1)))) (+.f64 (+.f64 x 1) (*.f64 -2 (sqrt.f64 (+.f64 x 1))))))) (+.f64 (-.f64 3 x) (*.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8) (-.f64 16 (*.f64 (+.f64 (+.f64 x 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -2)) (+.f64 (+.f64 x 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -2))))) (+.f64 (-.f64 3 x) (*.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8) (-.f64 16 (*.f64 (fma.f64 (sqrt.f64 (+.f64 x 1)) -2 (+.f64 x 1)) (fma.f64 (sqrt.f64 (+.f64 x 1)) -2 (+.f64 x 1))))) (fma.f64 2 (sqrt.f64 (+.f64 x 1)) (-.f64 3 x))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8) (+.f64 64 (pow.f64 (+.f64 (+.f64 x 1) (*.f64 -2 (sqrt.f64 (+.f64 x 1)))) 3))) (-.f64 (+.f64 16 (*.f64 (+.f64 (+.f64 x 1) (*.f64 -2 (sqrt.f64 (+.f64 x 1)))) (+.f64 (+.f64 x 1) (*.f64 -2 (sqrt.f64 (+.f64 x 1)))))) (*.f64 4 (+.f64 (+.f64 x 1) (*.f64 -2 (sqrt.f64 (+.f64 x 1))))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8) (+.f64 64 (pow.f64 (+.f64 (+.f64 x 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -2)) 3))) (+.f64 16 (-.f64 (*.f64 (+.f64 (+.f64 x 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -2)) (+.f64 (+.f64 x 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -2))) (*.f64 4 (+.f64 (+.f64 x 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -2)))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8) (+.f64 64 (pow.f64 (fma.f64 (sqrt.f64 (+.f64 x 1)) -2 (+.f64 x 1)) 3))) (+.f64 16 (*.f64 (fma.f64 (sqrt.f64 (+.f64 x 1)) -2 (+.f64 x 1)) (-.f64 (fma.f64 (sqrt.f64 (+.f64 x 1)) -2 (+.f64 x 1)) 4)))) |
(/.f64 1 (/.f64 1 (+.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(+.f64 (+.f64 3 (sqrt.f64 (+.f64 x 1))) -1) |
(+.f64 2 (sqrt.f64 (+.f64 x 1))) |
(/.f64 (-.f64 3 x) (-.f64 2 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (-.f64 3 x) (/.f64 1 (-.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8) (+.f64 (+.f64 5 x) (*.f64 -2 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8) 1) (+.f64 5 (+.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) -2)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8) (fma.f64 (sqrt.f64 (+.f64 x 1)) -2 (+.f64 x 5))) |
(/.f64 (sqrt.f64 (-.f64 3 x)) (/.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 3 x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 3 x)) (-.f64 2 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (-.f64 3 x))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 3 x)) (sqrt.f64 (-.f64 3 x))) (-.f64 2 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8)) (/.f64 (+.f64 (+.f64 5 x) (*.f64 -2 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8)))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8)) (+.f64 5 (+.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) -2)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8))) |
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8)) (fma.f64 (sqrt.f64 (+.f64 x 1)) -2 (+.f64 x 5)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 3 x)) (cbrt.f64 (-.f64 3 x))) (/.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (-.f64 3 x)))) |
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 3 x)) (cbrt.f64 (-.f64 3 x))) (-.f64 2 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (-.f64 3 x))) |
(*.f64 (cbrt.f64 (-.f64 3 x)) (/.f64 (cbrt.f64 (-.f64 3 x)) (/.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (-.f64 3 x))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8))) (/.f64 (+.f64 (+.f64 5 x) (*.f64 -2 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8)))) |
(*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8))) (+.f64 5 (+.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) -2)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8))) |
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8)) (/.f64 (fma.f64 (sqrt.f64 (+.f64 x 1)) -2 (+.f64 x 5)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8))))) |
(/.f64 (+.f64 x -3) (-.f64 (sqrt.f64 (+.f64 x 1)) 2)) |
(/.f64 (+.f64 x -3) (+.f64 (sqrt.f64 (+.f64 x 1)) -2)) |
(/.f64 (neg.f64 (-.f64 3 x)) (neg.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (+.f64 x -3) (+.f64 (sqrt.f64 (+.f64 x 1)) -2)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8)) (neg.f64 (+.f64 (+.f64 5 x) (*.f64 -2 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x 1) 3/2)) -8) (neg.f64 (+.f64 5 (+.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) -2))))) |
(/.f64 (-.f64 -8 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (*.f64 2 (sqrt.f64 (+.f64 x 1))) (+.f64 x 5))) |
(/.f64 (/.f64 (-.f64 3 x) 1) (-.f64 2 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (-.f64 3 x) (/.f64 1 (-.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (-.f64 3 x) (-.f64 2 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (/.f64 (-.f64 3 x) (sqrt.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (-.f64 3 x) (/.f64 1 (-.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (-.f64 3 x) (-.f64 2 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (/.f64 (-.f64 3 x) (*.f64 (cbrt.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (-.f64 3 x) (/.f64 1 (-.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (-.f64 3 x) (-.f64 2 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8) 1) (+.f64 (+.f64 5 x) (*.f64 -2 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8) 1) (+.f64 5 (+.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) -2)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8) (fma.f64 (sqrt.f64 (+.f64 x 1)) -2 (+.f64 x 5))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8) (sqrt.f64 (+.f64 (+.f64 5 x) (*.f64 -2 (sqrt.f64 (+.f64 x 1)))))) (sqrt.f64 (+.f64 (+.f64 5 x) (*.f64 -2 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8) 1) (+.f64 5 (+.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) -2)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8) (fma.f64 (sqrt.f64 (+.f64 x 1)) -2 (+.f64 x 5))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8) (*.f64 (cbrt.f64 (+.f64 (+.f64 5 x) (*.f64 -2 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (+.f64 (+.f64 5 x) (*.f64 -2 (sqrt.f64 (+.f64 x 1))))))) (cbrt.f64 (+.f64 (+.f64 5 x) (*.f64 -2 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8) 1) (+.f64 5 (+.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) -2)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8) (fma.f64 (sqrt.f64 (+.f64 x 1)) -2 (+.f64 x 5))) |
(pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 1) |
(+.f64 (+.f64 3 (sqrt.f64 (+.f64 x 1))) -1) |
(+.f64 2 (sqrt.f64 (+.f64 x 1))) |
(pow.f64 (sqrt.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1)))) 2) |
(+.f64 (+.f64 3 (sqrt.f64 (+.f64 x 1))) -1) |
(+.f64 2 (sqrt.f64 (+.f64 x 1))) |
(pow.f64 (cbrt.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1)))) 3) |
(+.f64 (+.f64 3 (sqrt.f64 (+.f64 x 1))) -1) |
(+.f64 2 (sqrt.f64 (+.f64 x 1))) |
(pow.f64 (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 3) 1/3) |
(+.f64 (+.f64 3 (sqrt.f64 (+.f64 x 1))) -1) |
(+.f64 2 (sqrt.f64 (+.f64 x 1))) |
(sqrt.f64 (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 2)) |
(fabs.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1)))) |
(log.f64 (exp.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(+.f64 (+.f64 3 (sqrt.f64 (+.f64 x 1))) -1) |
(+.f64 2 (sqrt.f64 (+.f64 x 1))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1)))))) |
(+.f64 (+.f64 3 (sqrt.f64 (+.f64 x 1))) -1) |
(+.f64 2 (sqrt.f64 (+.f64 x 1))) |
(cbrt.f64 (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 3)) |
(+.f64 (+.f64 3 (sqrt.f64 (+.f64 x 1))) -1) |
(+.f64 2 (sqrt.f64 (+.f64 x 1))) |
(expm1.f64 (log.f64 (+.f64 3 (sqrt.f64 (+.f64 x 1))))) |
(+.f64 (+.f64 3 (sqrt.f64 (+.f64 x 1))) -1) |
(+.f64 2 (sqrt.f64 (+.f64 x 1))) |
(exp.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(+.f64 (+.f64 3 (sqrt.f64 (+.f64 x 1))) -1) |
(+.f64 2 (sqrt.f64 (+.f64 x 1))) |
(exp.f64 (*.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1)))) 1)) |
(+.f64 (+.f64 3 (sqrt.f64 (+.f64 x 1))) -1) |
(+.f64 2 (sqrt.f64 (+.f64 x 1))) |
(log1p.f64 (expm1.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(+.f64 (+.f64 3 (sqrt.f64 (+.f64 x 1))) -1) |
(+.f64 2 (sqrt.f64 (+.f64 x 1))) |
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 2) |
(+.f64 (+.f64 3 (sqrt.f64 (+.f64 x 1))) -1) |
(+.f64 2 (sqrt.f64 (+.f64 x 1))) |
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 2) |
(+.f64 2 (pow.f64 (+.f64 x 1) 1/2)) |
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 2) |
Compiled 34873 to 27711 computations (20.5% saved)
13 alts after pruning (6 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1399 | 5 | 1404 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 7 | 8 |
| Total | 1401 | 13 | 1414 |
| Status | Error | Program |
|---|---|---|
| ✓ | 21.8b | (/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
| ✓ | 0.2b | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| ✓ | 22.5b | (/.f64 x 2) |
| ✓ | 0.3b | (/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)) |
| ▶ | 22.6b | (/.f64 1 (/.f64 2 x)) |
| ▶ | 0.3b | (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) |
| ▶ | 22.8b | (/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) |
| ▶ | 21.9b | (/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
| ✓ | 37.1b | (+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
| ✓ | 22.8b | (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
| ✓ | 23.3b | (*.f64 x (+.f64 1/2 (*.f64 -1/8 x))) |
| ▶ | 1.7b | (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) |
| 60.8b | 2 |
Compiled 159 to 130 computations (18.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sqrt.f64 (+.f64 x 1)) | |
| ✓ | 0.0b | (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) |
| ✓ | 0.1b | (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))) |
| ✓ | 0.2b | (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) |
Compiled 47 to 35 computations (25.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) |
| 1.0ms | x | @ | inf | (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))) |
| 0.0ms | x | @ | -inf | (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) |
| 1× | batch-egg-rewrite |
| 1078× | *-commutative |
| 1026× | associate-/r* |
| 642× | associate-/l* |
| 618× | distribute-lft-in |
| 602× | distribute-rgt-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 81 |
| 1 | 241 | 81 |
| 2 | 3295 | 63 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) |
| Outputs |
|---|
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(sqrt.f64 (+.f64 x 1))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (pow.f64 x -2))) (cbrt.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x)))))) |
| 1× | egg-herbie |
| 836× | associate-/l* |
| 836× | associate-*r* |
| 752× | times-frac |
| 704× | *-commutative |
| 686× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 682 | 16509 |
| 1 | 1905 | 13839 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3))))) |
(/.f64 1 x) |
(+.f64 1/2 (/.f64 1 x)) |
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (+.f64 (*.f64 1/16 (pow.f64 x 2)) (/.f64 1 x)))) |
(/.f64 2 x) |
(+.f64 1/2 (*.f64 2 (/.f64 1 x))) |
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) |
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (+.f64 (*.f64 1/16 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) (*.f64 (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 x 1)))) (fma.f64 (neg.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) 1 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) (*.f64 (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 x 1)))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) (*.f64 (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 x 1)))) (fma.f64 (neg.f64 (/.f64 1 x)) (sqrt.f64 (+.f64 x 1)) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) (*.f64 (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 x 1)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) (*.f64 (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 x 1)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (*.f64 (+.f64 x 1) (pow.f64 x -2))) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) (*.f64 (fma.f64 (neg.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) 1 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 x 1)))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 x 1)))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) (*.f64 (fma.f64 (neg.f64 (/.f64 1 x)) (sqrt.f64 (+.f64 x 1)) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 x 1)))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 x 1)))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (*.f64 (+.f64 x 1) (pow.f64 x -2))) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 x 1)))))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 x 1)))) (/.f64 1 x)) (*.f64 (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 x 1)))) (neg.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (pow.f64 x -2)) (*.f64 (/.f64 1 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (*.f64 (pow.f64 x -2) (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (*.f64 (pow.f64 x -2) (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))) (*.f64 (/.f64 1 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (pow.f64 x -2))) |
(+.f64 (*.f64 (/.f64 1 x) (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 x 1))))) (*.f64 (neg.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 x 1)))))) |
(+.f64 (*.f64 (pow.f64 x -2) (/.f64 1 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) (*.f64 (*.f64 (pow.f64 x -2) (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))) |
(+.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) (*.f64 (pow.f64 x -2) (/.f64 1 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))))) 1) |
(*.f64 1 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) 1) |
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(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) 2) 1) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) 2) (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) -2)))) (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) 2) (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) |
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 x 1))) 1) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) x)) |
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 x 1))) (/.f64 1 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 x 1))) (sqrt.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (sqrt.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) x))) |
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 x 1))) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (cbrt.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) x)))) (cbrt.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) x))) |
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 x 1))) (*.f64 (pow.f64 x -1/2) (+.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) (*.f64 (pow.f64 x -1/2) (-.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(/.f64 (/.f64 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1) (-.f64 (*.f64 (pow.f64 x -2) (+.f64 2 x)) (*.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 x -2)))) |
(/.f64 (/.f64 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 x -2) (+.f64 2 x)) (*.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 x -2))))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 x -2) (+.f64 2 x)) (*.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 x -2))))) |
(/.f64 (/.f64 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 x -2) (+.f64 2 x)) (*.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 x -2)))) (cbrt.f64 (-.f64 (*.f64 (pow.f64 x -2) (+.f64 2 x)) (*.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 x -2)))))) (cbrt.f64 (-.f64 (*.f64 (pow.f64 x -2) (+.f64 2 x)) (*.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 x -2))))) |
(/.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1)))) 1) (*.f64 x x)) |
(/.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1)))) x) x) |
(/.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))) |
(/.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) |
(/.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1)))) (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1)))) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1)))) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (/.f64 (+.f64 (neg.f64 x) (*.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x))) (neg.f64 x)) x) |
(/.f64 (/.f64 (+.f64 (neg.f64 x) (*.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x))) x) (neg.f64 x)) |
(pow.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) 1) |
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) 2) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) 3) |
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) 3) 1/3) |
(neg.f64 (neg.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))))) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) 2)) |
(log.f64 (exp.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))))) |
(exp.f64 (log.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))))) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))))) |
(fma.f64 1 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) |
(fma.f64 1 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))) (/.f64 1 x)) |
(fma.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)) (/.f64 1 x)) |
(fma.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 x) (/.f64 1 x)) |
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) |
(fma.f64 (sqrt.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x)) |
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) |
(fma.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (pow.f64 x -2))) (cbrt.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x)) |
| Outputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)) |
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -5/128 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 3))))) |
(/.f64 1 x) |
(+.f64 1/2 (/.f64 1 x)) |
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (/.f64 1 x))) |
(fma.f64 -1/8 x (+.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (+.f64 (*.f64 1/16 (pow.f64 x 2)) (/.f64 1 x)))) |
(fma.f64 -1/8 x (+.f64 1/2 (fma.f64 1/16 (*.f64 x x) (/.f64 1 x)))) |
(/.f64 2 x) |
(+.f64 1/2 (*.f64 2 (/.f64 1 x))) |
(+.f64 1/2 (/.f64 2 x)) |
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) |
(fma.f64 -1/8 x (+.f64 1/2 (/.f64 2 x))) |
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (+.f64 (*.f64 1/16 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x))))) |
(fma.f64 -1/8 x (+.f64 1/2 (fma.f64 1/16 (*.f64 x x) (/.f64 2 x)))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) (*.f64 (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 x 1)))) (fma.f64 (neg.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) 1 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))))) |
(+.f64 (/.f64 1 (fma.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)) (/.f64 1 x))) (*.f64 (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 (-.f64 1 x) 1))) (fma.f64 (*.f64 (/.f64 -1 x) (sqrt.f64 (+.f64 x 1))) 1 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))))) |
(+.f64 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1) (/.f64 (*.f64 0 (/.f64 (sqrt.f64 (+.f64 x 1)) x)) (*.f64 (pow.f64 x -2) (neg.f64 x)))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) (*.f64 (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 x 1)))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))))) |
(+.f64 (/.f64 1 (fma.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)) (/.f64 1 x))) (*.f64 (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 (-.f64 1 x) 1))) (fma.f64 (*.f64 (/.f64 -1 x) (sqrt.f64 (+.f64 x 1))) 1 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))))) |
(+.f64 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1) (/.f64 (*.f64 0 (/.f64 (sqrt.f64 (+.f64 x 1)) x)) (*.f64 (pow.f64 x -2) (neg.f64 x)))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) (*.f64 (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 x 1)))) (fma.f64 (neg.f64 (/.f64 1 x)) (sqrt.f64 (+.f64 x 1)) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))))) |
(+.f64 (/.f64 1 (fma.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)) (/.f64 1 x))) (*.f64 (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 (-.f64 1 x) 1))) (fma.f64 (*.f64 (/.f64 -1 x) (sqrt.f64 (+.f64 x 1))) 1 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))))) |
(+.f64 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1) (/.f64 (*.f64 0 (/.f64 (sqrt.f64 (+.f64 x 1)) x)) (*.f64 (pow.f64 x -2) (neg.f64 x)))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) (*.f64 (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 x 1)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))))) |
(+.f64 (/.f64 1 (fma.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)) (/.f64 1 x))) (*.f64 (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 (-.f64 1 x) 1))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))))) |
(+.f64 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1) (/.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x) (neg.f64 (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x)) 2))) (*.f64 (pow.f64 x -2) (neg.f64 x)))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) (*.f64 (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 x 1)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (*.f64 (+.f64 x 1) (pow.f64 x -2))) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))))) |
(+.f64 (/.f64 1 (fma.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)) (/.f64 1 x))) (*.f64 (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 (-.f64 1 x) 1))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (*.f64 (+.f64 x 1) (pow.f64 x -2))) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))))) |
(+.f64 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1) (/.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x))) (cbrt.f64 (+.f64 (pow.f64 x -2) (pow.f64 x -1))) (/.f64 (sqrt.f64 (+.f64 x 1)) x)) (*.f64 (pow.f64 x -2) (neg.f64 x)))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) (*.f64 (fma.f64 (neg.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) 1 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 x 1)))))) |
(+.f64 (/.f64 1 (fma.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)) (/.f64 1 x))) (*.f64 (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 (-.f64 1 x) 1))) (fma.f64 (*.f64 (/.f64 -1 x) (sqrt.f64 (+.f64 x 1))) 1 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))))) |
(+.f64 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1) (/.f64 (*.f64 0 (/.f64 (sqrt.f64 (+.f64 x 1)) x)) (*.f64 (pow.f64 x -2) (neg.f64 x)))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 x 1)))))) |
(+.f64 (/.f64 1 (fma.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)) (/.f64 1 x))) (*.f64 (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 (-.f64 1 x) 1))) (fma.f64 (*.f64 (/.f64 -1 x) (sqrt.f64 (+.f64 x 1))) 1 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))))) |
(+.f64 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1) (/.f64 (*.f64 0 (/.f64 (sqrt.f64 (+.f64 x 1)) x)) (*.f64 (pow.f64 x -2) (neg.f64 x)))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) (*.f64 (fma.f64 (neg.f64 (/.f64 1 x)) (sqrt.f64 (+.f64 x 1)) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 x 1)))))) |
(+.f64 (/.f64 1 (fma.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)) (/.f64 1 x))) (*.f64 (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 (-.f64 1 x) 1))) (fma.f64 (*.f64 (/.f64 -1 x) (sqrt.f64 (+.f64 x 1))) 1 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))))) |
(+.f64 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1) (/.f64 (*.f64 0 (/.f64 (sqrt.f64 (+.f64 x 1)) x)) (*.f64 (pow.f64 x -2) (neg.f64 x)))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 x 1)))))) |
(+.f64 (/.f64 1 (fma.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)) (/.f64 1 x))) (*.f64 (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 (-.f64 1 x) 1))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))))) |
(+.f64 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1) (/.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x) (neg.f64 (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x)) 2))) (*.f64 (pow.f64 x -2) (neg.f64 x)))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (*.f64 (+.f64 x 1) (pow.f64 x -2))) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 x 1)))))) |
(+.f64 (/.f64 1 (fma.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)) (/.f64 1 x))) (*.f64 (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 (-.f64 1 x) 1))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (*.f64 (+.f64 x 1) (pow.f64 x -2))) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))))) |
(+.f64 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1) (/.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x))) (cbrt.f64 (+.f64 (pow.f64 x -2) (pow.f64 x -1))) (/.f64 (sqrt.f64 (+.f64 x 1)) x)) (*.f64 (pow.f64 x -2) (neg.f64 x)))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 x 1)))) (/.f64 1 x)) (*.f64 (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 x 1)))) (neg.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 1 (*.f64 (pow.f64 x -2) (-.f64 (-.f64 1 x) 1))) (+.f64 (/.f64 1 x) (*.f64 (/.f64 -1 x) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 (pow.f64 x -1) (neg.f64 x))) |
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(fma.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)) (/.f64 1 x)) |
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(fma.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)) (/.f64 1 x)) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(/.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) 1) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)) (/.f64 1 x))) (/.f64 1 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) |
(/.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
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(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) |
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 x 1))) 1) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) x)) |
(*.f64 (pow.f64 x -2) (*.f64 (-.f64 (-.f64 1 x) 1) (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (neg.f64 x) (/.f64 (pow.f64 x -1) (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 x 1))) (/.f64 1 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (pow.f64 x -2) (*.f64 (-.f64 (-.f64 1 x) 1) (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (neg.f64 x) (/.f64 (pow.f64 x -1) (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 x 1))) (sqrt.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (sqrt.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) x))) |
(/.f64 (*.f64 (pow.f64 x -2) (-.f64 (-.f64 1 x) 1)) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (sqrt.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) x)))) |
(*.f64 (/.f64 (pow.f64 x -2) (sqrt.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (/.f64 (neg.f64 x) (sqrt.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) x)))) |
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 x 1))) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (cbrt.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) x)))) (cbrt.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) x))) |
(/.f64 (*.f64 (pow.f64 x -2) (-.f64 (-.f64 1 x) 1)) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (cbrt.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) x))))) |
(/.f64 (*.f64 (pow.f64 x -2) (neg.f64 x)) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (cbrt.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) x))))) |
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (+.f64 x 1))) (*.f64 (pow.f64 x -1/2) (+.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) (*.f64 (pow.f64 x -1/2) (-.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(/.f64 (*.f64 (pow.f64 x -2) (-.f64 (-.f64 1 x) 1)) (*.f64 (*.f64 (pow.f64 x -1/2) (-.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (*.f64 (pow.f64 x -1/2) (+.f64 1 (pow.f64 (+.f64 x 1) 1/4))))) |
(*.f64 (/.f64 (neg.f64 x) (*.f64 (pow.f64 x -1/2) (-.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) (/.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -1/2) (+.f64 1 (pow.f64 (+.f64 x 1) 1/4))))) |
(/.f64 (/.f64 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1) (-.f64 (*.f64 (pow.f64 x -2) (+.f64 2 x)) (*.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 x -2)))) |
(/.f64 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (*.f64 (pow.f64 x -2) (+.f64 x 2)) (*.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 x -2)))) |
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(/.f64 (pow.f64 x -3) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))) (/.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) |
(/.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1)))) 1) (*.f64 x x)) |
(/.f64 (+.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1)))) (*.f64 x x)) |
(/.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1)))) x) x) |
(/.f64 (+.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1)))) (*.f64 x x)) |
(/.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))) |
(/.f64 (+.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1)))) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (+.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1)))) (*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x)))) |
(/.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) |
(/.f64 (+.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1)))) (*.f64 (*.f64 x (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (+.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1)))) (*.f64 x (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))) |
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(/.f64 (+.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1)))) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (+.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1)))) (*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x)))) |
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(/.f64 (+.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1)))) (*.f64 x (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (/.f64 (+.f64 (neg.f64 x) (*.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x))) (neg.f64 x)) x) |
(fma.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)) (/.f64 1 x)) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(/.f64 (/.f64 (+.f64 (neg.f64 x) (*.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x))) x) (neg.f64 x)) |
(fma.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)) (/.f64 1 x)) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(pow.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) 1) |
(fma.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)) (/.f64 1 x)) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) 2) |
(fma.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)) (/.f64 1 x)) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) 3) |
(fma.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)) (/.f64 1 x)) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) 3) 1/3) |
(fma.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)) (/.f64 1 x)) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(neg.f64 (neg.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))))) |
(fma.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)) (/.f64 1 x)) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)) (/.f64 1 x)) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 2)) |
(log.f64 (exp.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))))) |
(fma.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)) (/.f64 1 x)) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))))) |
(fma.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)) (/.f64 1 x)) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) 3)) |
(fma.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)) (/.f64 1 x)) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))))) |
(fma.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)) (/.f64 1 x)) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(exp.f64 (log.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))))) |
(fma.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)) (/.f64 1 x)) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))))) |
(fma.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)) (/.f64 1 x)) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(fma.f64 1 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) |
(fma.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)) (/.f64 1 x)) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(fma.f64 1 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))) (/.f64 1 x)) |
(fma.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)) (/.f64 1 x)) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(fma.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)) (/.f64 1 x)) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(fma.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 x) (/.f64 1 x)) |
(fma.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)) (/.f64 1 x)) |
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) |
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) |
(+.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x) (pow.f64 x -1)) |
(fma.f64 (sqrt.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x)) |
(+.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) 2) (/.f64 1 x)) |
(+.f64 (/.f64 1 x) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x)) 2)) |
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) |
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) x)) |
(fma.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (pow.f64 x -2))) (cbrt.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x)) |
(fma.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (pow.f64 x -1))) (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x)) (/.f64 1 x)) |
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 | @ | 0 | (/.f64 1 (/.f64 2 x)) |
| 0.0ms | x | @ | -inf | (/.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 1 (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1 (/.f64 2 x))) (sqrt.f64 (/.f64 1 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (/.f64 2 x))) (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 2 x))) 2) (cbrt.f64 (/.f64 1 (/.f64 2 x))))))) (#(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 1 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1 (/.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (/.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (/.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1 (/.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (/.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (/.f64 2 x)))))))) |
| 1× | egg-herbie |
| 1208× | associate-/l* |
| 906× | associate-*r/ |
| 798× | associate-+r+ |
| 720× | associate-+l+ |
| 646× | unswap-sqr |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 314 |
| 1 | 151 | 314 |
| 2 | 621 | 308 |
| 3 | 2386 | 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 1 (/.f64 2 x))) 1) |
(*.f64 1 (/.f64 1 (/.f64 2 x))) |
(*.f64 x 1/2) |
(*.f64 (/.f64 1 (/.f64 2 x)) 1) |
(*.f64 (sqrt.f64 (/.f64 1 (/.f64 2 x))) (sqrt.f64 (/.f64 1 (/.f64 2 x)))) |
(*.f64 (cbrt.f64 (/.f64 1 (/.f64 2 x))) (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 2 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 2 x))) 2) (cbrt.f64 (/.f64 1 (/.f64 2 x)))) |
(*.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 1 (/.f64 2 x)) 1) |
(pow.f64 (sqrt.f64 (/.f64 1 (/.f64 2 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (/.f64 2 x))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (/.f64 2 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (/.f64 1 (/.f64 2 x)) 2)) |
(log.f64 (exp.f64 (/.f64 1 (/.f64 2 x)))) |
(cbrt.f64 (pow.f64 (/.f64 1 (/.f64 2 x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (/.f64 2 x)))) |
(exp.f64 (log.f64 (/.f64 1 (/.f64 2 x)))) |
(log1p.f64 (expm1.f64 (/.f64 1 (/.f64 2 x)))) |
| 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 1 (/.f64 2 x))) 1) |
(*.f64 1/2 x) |
(*.f64 1 (/.f64 1 (/.f64 2 x))) |
(*.f64 1/2 x) |
(*.f64 x 1/2) |
(*.f64 1/2 x) |
(*.f64 (/.f64 1 (/.f64 2 x)) 1) |
(*.f64 1/2 x) |
(*.f64 (sqrt.f64 (/.f64 1 (/.f64 2 x))) (sqrt.f64 (/.f64 1 (/.f64 2 x)))) |
(*.f64 1/2 x) |
(*.f64 (cbrt.f64 (/.f64 1 (/.f64 2 x))) (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 2 x))) 2)) |
(*.f64 1/2 x) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 2 x))) 2) (cbrt.f64 (/.f64 1 (/.f64 2 x)))) |
(*.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 (/.f64 1 (cbrt.f64 (/.f64 2 x))) 1) (cbrt.f64 (/.f64 4 (*.f64 x x)))) |
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 2 x))) (cbrt.f64 (/.f64 4 (*.f64 x x)))) |
(/.f64 1 (*.f64 (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 1 (/.f64 2 x)) 1) |
(*.f64 1/2 x) |
(pow.f64 (sqrt.f64 (/.f64 1 (/.f64 2 x))) 2) |
(*.f64 1/2 x) |
(pow.f64 (cbrt.f64 (/.f64 1 (/.f64 2 x))) 3) |
(*.f64 1/2 x) |
(pow.f64 (pow.f64 (/.f64 1 (/.f64 2 x)) 3) 1/3) |
(*.f64 1/2 x) |
(sqrt.f64 (pow.f64 (/.f64 1 (/.f64 2 x)) 2)) |
(*.f64 1/2 x) |
(log.f64 (exp.f64 (/.f64 1 (/.f64 2 x)))) |
(*.f64 1/2 x) |
(cbrt.f64 (pow.f64 (/.f64 1 (/.f64 2 x)) 3)) |
(*.f64 1/2 x) |
(expm1.f64 (log1p.f64 (/.f64 1 (/.f64 2 x)))) |
(*.f64 1/2 x) |
(exp.f64 (log.f64 (/.f64 1 (/.f64 2 x)))) |
(*.f64 1/2 x) |
(log1p.f64 (expm1.f64 (/.f64 1 (/.f64 2 x)))) |
(*.f64 1/2 x) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
Compiled 20 to 16 computations (20% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
| 0.0ms | x | @ | -inf | (/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
| 0.0ms | x | @ | inf | (/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
| 1× | batch-egg-rewrite |
| 1902× | add-sqr-sqrt |
| 1870× | *-un-lft-identity |
| 1760× | add-cube-cbrt |
| 1748× | add-cbrt-cube |
| 184× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 19 |
| 1 | 198 | 19 |
| 2 | 2414 | 19 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)) (cbrt.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -1/2 (neg.f64 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1/4 (/.f64 4 (*.f64 x x)))) (-.f64 1/2 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1/8 (/.f64 8 (pow.f64 x 3)))) (+.f64 1/4 (-.f64 (/.f64 4 (*.f64 x x)) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -1) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (/.f64 2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))))))) |
| 1× | egg-herbie |
| 1468× | distribute-lft-in |
| 1426× | distribute-rgt-in |
| 1166× | associate-/r* |
| 1148× | associate-*r* |
| 944× | associate-*l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 947 |
| 1 | 263 | 935 |
| 2 | 808 | 925 |
| 3 | 3682 | 925 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 -1/128 (pow.f64 x 4))))) |
2 |
(-.f64 2 (*.f64 8 (/.f64 1 x))) |
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x))) |
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3))))) |
2 |
(-.f64 2 (*.f64 8 (/.f64 1 x))) |
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x))) |
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) 1) |
(*.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))) |
(*.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1) |
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2)) |
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)) (cbrt.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) |
(*.f64 -1 (/.f64 1 (+.f64 -1/2 (neg.f64 (/.f64 2 x))))) |
(*.f64 (/.f64 1 (-.f64 1/4 (/.f64 4 (*.f64 x x)))) (-.f64 1/2 (/.f64 2 x))) |
(*.f64 (/.f64 1 (+.f64 1/8 (/.f64 8 (pow.f64 x 3)))) (+.f64 1/4 (-.f64 (/.f64 4 (*.f64 x x)) (/.f64 1 x)))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -1) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -1)) |
(pow.f64 (+.f64 1/2 (/.f64 2 x)) -1) |
(pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1) |
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))) -1)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) |
| Outputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)) |
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x)) |
(fma.f64 1/2 x (*.f64 x (*.f64 x -1/8))) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (*.f64 1/2 x))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/32 (pow.f64 x 3)))) |
(fma.f64 1/2 x (*.f64 (*.f64 x x) (+.f64 -1/8 (*.f64 x 1/32)))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 -1/128 (pow.f64 x 4))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 -1/128 (pow.f64 x 4))))) |
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x (fma.f64 1/32 (pow.f64 x 3) (*.f64 -1/128 (pow.f64 x 4))))) |
(fma.f64 1/32 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/8) (fma.f64 -1/128 (pow.f64 x 4) (*.f64 1/2 x)))) |
2 |
(-.f64 2 (*.f64 8 (/.f64 1 x))) |
(-.f64 2 (/.f64 8 x)) |
(+.f64 2 (/.f64 -8 x)) |
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x))) |
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))) |
(+.f64 (/.f64 32 (*.f64 x x)) (+.f64 2 (/.f64 -8 x))) |
(+.f64 2 (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 -8 x))) |
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3))))) |
(+.f64 (+.f64 2 (/.f64 32 (*.f64 x x))) (-.f64 (/.f64 -8 x) (/.f64 128 (pow.f64 x 3)))) |
(+.f64 2 (-.f64 (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 -8 x)) (/.f64 128 (pow.f64 x 3)))) |
2 |
(-.f64 2 (*.f64 8 (/.f64 1 x))) |
(-.f64 2 (/.f64 8 x)) |
(+.f64 2 (/.f64 -8 x)) |
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x))) |
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))) |
(+.f64 (/.f64 32 (*.f64 x x)) (+.f64 2 (/.f64 -8 x))) |
(+.f64 2 (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 -8 x))) |
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3))))) |
(+.f64 (+.f64 2 (/.f64 32 (*.f64 x x))) (-.f64 (/.f64 -8 x) (/.f64 128 (pow.f64 x 3)))) |
(+.f64 2 (-.f64 (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 -8 x)) (/.f64 128 (pow.f64 x 3)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) 1) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(*.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(*.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2)) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)) (cbrt.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) |
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2))) |
(*.f64 -1 (/.f64 1 (+.f64 -1/2 (neg.f64 (/.f64 2 x))))) |
(/.f64 -1 (+.f64 -1/2 (/.f64 -2 x))) |
(*.f64 (/.f64 1 (-.f64 1/4 (/.f64 4 (*.f64 x x)))) (-.f64 1/2 (/.f64 2 x))) |
(*.f64 (/.f64 1 (-.f64 1/4 (/.f64 4 (*.f64 x x)))) (+.f64 1/2 (/.f64 -2 x))) |
(/.f64 (+.f64 1/2 (/.f64 -2 x)) (+.f64 1/4 (/.f64 -4 (*.f64 x x)))) |
(*.f64 (/.f64 1 (+.f64 1/8 (/.f64 8 (pow.f64 x 3)))) (+.f64 1/4 (-.f64 (/.f64 4 (*.f64 x x)) (/.f64 1 x)))) |
(/.f64 (+.f64 1/4 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 -1 x))) (+.f64 1/8 (/.f64 8 (pow.f64 x 3)))) |
(/.f64 (+.f64 (/.f64 4 (*.f64 x x)) (-.f64 1/4 (/.f64 1 x))) (+.f64 1/8 (/.f64 8 (pow.f64 x 3)))) |
(/.f64 (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 1/4 (/.f64 -1 x))) (+.f64 1/8 (/.f64 8 (pow.f64 x 3)))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -1) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -1)) |
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -2) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -1)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2)) (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2)) (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) |
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2))) |
(pow.f64 (+.f64 1/2 (/.f64 2 x)) -1) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) 2) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))) 3) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 3) 1/3) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 3)) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))))) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))) -1)) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))) 1)) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) |
| ✓ | 0.1b | (/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) |
Compiled 48 to 39 computations (18.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) |
| 0.0ms | x | @ | 0 | (/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) |
| 0.0ms | x | @ | -inf | (/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) |
| 1× | batch-egg-rewrite |
| 1734× | associate-*l/ |
| 1050× | distribute-lft-in |
| 748× | associate-/r* |
| 366× | associate-/r/ |
| 316× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 48 |
| 1 | 292 | 48 |
| 2 | 3710 | 48 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) |
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2))) (fma.f64 (neg.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) 1 (+.f64 1/2 (*.f64 2 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) (sqrt.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) 2) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2))) (*.f64 -1/8 x)) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2))) (neg.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2))) (*.f64 -1/8 x)) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2))) (*.f64 -1 (+.f64 1/2 (*.f64 2 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2))) (*.f64 -1/8 x)) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) (sqrt.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2))) (*.f64 -1/8 x)) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) 2)) (cbrt.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 3))) (*.f64 (*.f64 x x) 1/64)) (*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 3))) (*.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (-.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (*.f64 -1/8 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 3))) (*.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (-.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (*.f64 -1/8 x)))) (*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 3))) (*.f64 (*.f64 x x) 1/64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) -1/2) (pow.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))) (cbrt.f64 (pow.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 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pow.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (*.f64 -1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/8 x (+.f64 1/2 (*.f64 2 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -1/8 (+.f64 1/2 (*.f64 2 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) (*.f64 -1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -1/8 x)) (sqrt.f64 (*.f64 -1/8 x)) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) 2) (cbrt.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) (*.f64 -1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/64)) (cbrt.f64 (*.f64 -1/8 x)) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))))) |
| 1× | egg-herbie |
| 930× | +-commutative |
| 912× | associate-+r+ |
| 852× | associate-+l+ |
| 684× | associate-/l* |
| 680× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 519 | 13938 |
| 1 | 1490 | 12982 |
| 2 | 6796 | 12964 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -3/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3))))) |
(/.f64 -8 x) |
(neg.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (*.f64 1536 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 2))))))) |
(/.f64 -8 x) |
(neg.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (*.f64 1536 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 2))))))) |
(/.f64 2 x) |
(+.f64 1/2 (*.f64 2 (/.f64 1 x))) |
(*.f64 -1/8 x) |
(+.f64 (*.f64 -1/8 x) 1/2) |
(*.f64 -1/8 x) |
(+.f64 (*.f64 -1/8 x) 1/2) |
(+.f64 (/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2))) (fma.f64 (neg.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) 1 (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))) |
(+.f64 (/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) (sqrt.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))) |
(+.f64 (/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) 2) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2))) (*.f64 -1/8 x)) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2))) (neg.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2))) (*.f64 -1/8 x)) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2))) (*.f64 -1 (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2))) (*.f64 -1/8 x)) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) (sqrt.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))))))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2))) (*.f64 -1/8 x)) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) 2)) (cbrt.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))))))) |
(+.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 3))) (*.f64 (*.f64 x x) 1/64)) (*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 3))) (*.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (-.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (*.f64 -1/8 x))))) |
(+.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 3))) (*.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (-.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (*.f64 -1/8 x)))) (*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 3))) (*.f64 (*.f64 x x) 1/64))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))))) 1) |
(*.f64 1 (/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))) |
(*.f64 (/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) 1) |
(*.f64 (pow.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) -1/2) (pow.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) -1/2)) |
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))) (cbrt.f64 (pow.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) -2)) (cbrt.f64 (/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))))) |
(*.f64 -1 (/.f64 -1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))) |
(*.f64 (/.f64 -1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) -1) |
(*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2))) (-.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) |
(*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 3))) (+.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (-.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (*.f64 -1/8 x))))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) -1) (pow.f64 (sqrt.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) -1)) |
(*.f64 (/.f64 1 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2)))) (neg.f64 (-.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))) |
(*.f64 (/.f64 1 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 3)))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (-.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (*.f64 -1/8 x)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) (-.f64 (*.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (*.f64 x x) 1/64)) (*.f64 (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2)))) (+.f64 (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2) (*.f64 (*.f64 x x) 1/64))) |
(*.f64 (/.f64 (-.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) (-.f64 (pow.f64 (*.f64 (*.f64 x x) 1/64) 3) (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2) 3))) (+.f64 (*.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (*.f64 x x) 1/64)) (+.f64 (*.f64 (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2)) (*.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2))))) |
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (-.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (*.f64 -1/8 x)))) (-.f64 (*.f64 (*.f64 (pow.f64 x 3) -1/512) (*.f64 (pow.f64 x 3) -1/512)) (*.f64 (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 3) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 3)))) (-.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 3))) |
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (-.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (*.f64 -1/8 x)))) (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/512) 3) (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 3) 3))) (+.f64 (*.f64 (*.f64 (pow.f64 x 3) -1/512) (*.f64 (pow.f64 x 3) -1/512)) (-.f64 (*.f64 (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 3) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 3)) (*.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 3))))) |
(*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2) (*.f64 (*.f64 x x) 1/64))) (-.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (*.f64 -1/8 x))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 (fma.f64 -1/8 x 1/2) (fma.f64 -1/8 x 1/2)) (/.f64 4 (*.f64 x x)))) (-.f64 (fma.f64 -1/8 x 1/2) (*.f64 2 (/.f64 1 x)))) |
(*.f64 (/.f64 1 (+.f64 (/.f64 8 (pow.f64 x 3)) (pow.f64 (fma.f64 -1/8 x 1/2) 3))) (+.f64 (*.f64 (fma.f64 -1/8 x 1/2) (fma.f64 -1/8 x 1/2)) (-.f64 (/.f64 4 (*.f64 x x)) (*.f64 (fma.f64 -1/8 x 1/2) (*.f64 2 (/.f64 1 x)))))) |
(*.f64 (/.f64 (pow.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) -1/2) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 3)))) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (-.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (*.f64 -1/8 x)))))) |
(*.f64 (/.f64 (pow.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) -1/2) (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2)))) (sqrt.f64 (-.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))) |
(*.f64 (/.f64 -1 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2)))) (-.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) |
(*.f64 (/.f64 -1 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 3)))) (+.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (-.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (*.f64 -1/8 x))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) -2)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 3)))) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (-.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (*.f64 -1/8 x)))))) |
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(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2)) (+.f64 (sqrt.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) (sqrt.f64 (*.f64 -1/8 x)))) (-.f64 (sqrt.f64 (*.f64 -1/8 x)) (sqrt.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 3)) 1) (+.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (-.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (*.f64 -1/8 x))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 3)) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (-.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (*.f64 -1/8 x)))))) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (-.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (*.f64 -1/8 x)))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (-.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (*.f64 -1/8 x))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (-.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (*.f64 -1/8 x))))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (-.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (*.f64 -1/8 x)))))) |
(pow.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) 1) |
(pow.f64 (sqrt.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) 2) |
(pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) 3) |
(pow.f64 (pow.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) 2)) |
(log.f64 (exp.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))))) |
(cbrt.f64 (pow.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))) |
(exp.f64 (log.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))) |
(fma.f64 1 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) |
(fma.f64 1 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (*.f64 -1/8 x)) |
(fma.f64 -1/8 x (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) |
(fma.f64 x -1/8 (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) |
(fma.f64 (sqrt.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) (*.f64 -1/8 x)) |
(fma.f64 (sqrt.f64 (*.f64 -1/8 x)) (sqrt.f64 (*.f64 -1/8 x)) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) 2) (cbrt.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) (*.f64 -1/8 x)) |
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/64)) (cbrt.f64 (*.f64 -1/8 x)) (+.f64 1/2 (*.f64 2 (/.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 -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)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -3/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -3/128 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) (*.f64 -3/128 (pow.f64 x 4))))) |
(/.f64 -8 x) |
(neg.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))) |
(-.f64 (/.f64 -8 x) (/.f64 32 (*.f64 x 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 (/.f64 256 (pow.f64 x 3)) (/.f64 8 x)) (/.f64 32 (*.f64 x x)))) |
(+.f64 (/.f64 -256 (pow.f64 x 3)) (-.f64 (/.f64 -8 x) (/.f64 32 (*.f64 x 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 (/.f64 256 (pow.f64 x 3)) (/.f64 8 x)) (/.f64 32 (*.f64 x x))) (/.f64 1536 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 -256 (pow.f64 x 3)) (-.f64 (/.f64 -8 x) (/.f64 32 (*.f64 x 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 -8 x) (/.f64 32 (*.f64 x 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 (/.f64 256 (pow.f64 x 3)) (/.f64 8 x)) (/.f64 32 (*.f64 x x)))) |
(+.f64 (/.f64 -256 (pow.f64 x 3)) (-.f64 (/.f64 -8 x) (/.f64 32 (*.f64 x 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 (/.f64 256 (pow.f64 x 3)) (/.f64 8 x)) (/.f64 32 (*.f64 x x))) (/.f64 1536 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 -256 (pow.f64 x 3)) (-.f64 (/.f64 -8 x) (/.f64 32 (*.f64 x x)))) (/.f64 -1536 (pow.f64 x 4))) |
(/.f64 2 x) |
(+.f64 1/2 (*.f64 2 (/.f64 1 x))) |
(+.f64 1/2 (/.f64 2 x)) |
(*.f64 -1/8 x) |
(*.f64 x -1/8) |
(+.f64 (*.f64 -1/8 x) 1/2) |
(fma.f64 -1/8 x 1/2) |
(fma.f64 x -1/8 1/2) |
(*.f64 -1/8 x) |
(*.f64 x -1/8) |
(+.f64 (*.f64 -1/8 x) 1/2) |
(fma.f64 -1/8 x 1/2) |
(fma.f64 x -1/8 1/2) |
(+.f64 (/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2))) (fma.f64 (neg.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) 1 (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))) |
(+.f64 (/.f64 1 (+.f64 (fma.f64 -1/8 x 1/2) (/.f64 2 x))) (/.f64 (*.f64 1 (fma.f64 (+.f64 -1/2 (neg.f64 (/.f64 2 x))) 1 (+.f64 1/2 (/.f64 2 x)))) (-.f64 (*.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)))) |
(+.f64 (/.f64 1 (+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))) (/.f64 (+.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 -1/2 (/.f64 -2 x))) (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)))) |
(+.f64 (/.f64 1 (+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))) (/.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 -2 x) 0)) (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)))) |
(+.f64 (/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) (sqrt.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))) |
(+.f64 (/.f64 1 (+.f64 (fma.f64 -1/8 x 1/2) (/.f64 2 x))) (/.f64 (*.f64 1 (fma.f64 (+.f64 -1/2 (neg.f64 (/.f64 2 x))) 1 (+.f64 1/2 (/.f64 2 x)))) (-.f64 (*.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)))) |
(+.f64 (/.f64 1 (+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))) (/.f64 (+.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 -1/2 (/.f64 -2 x))) (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)))) |
(+.f64 (/.f64 1 (+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))) (/.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 -2 x) 0)) (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)))) |
(+.f64 (/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) 2) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))) |
(+.f64 (/.f64 1 (+.f64 (fma.f64 -1/8 x 1/2) (/.f64 2 x))) (/.f64 (*.f64 1 (fma.f64 (+.f64 -1/2 (neg.f64 (/.f64 2 x))) 1 (+.f64 1/2 (/.f64 2 x)))) (-.f64 (*.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)))) |
(+.f64 (/.f64 1 (+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))) (/.f64 (+.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 -1/2 (/.f64 -2 x))) (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)))) |
(+.f64 (/.f64 1 (+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))) (/.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 -2 x) 0)) (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2))) (*.f64 -1/8 x)) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2))) (neg.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))) |
(/.f64 (-.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))) (-.f64 (*.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) |
(/.f64 (+.f64 (fma.f64 x -1/8 -1/2) (/.f64 -2 x)) (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2))) (*.f64 -1/8 x)) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2))) (*.f64 -1 (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))) |
(/.f64 (-.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))) (-.f64 (*.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) |
(/.f64 (+.f64 (fma.f64 x -1/8 -1/2) (/.f64 -2 x)) (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2))) (*.f64 -1/8 x)) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) (sqrt.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))))))) |
(/.f64 (-.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))) (-.f64 (*.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) |
(/.f64 (+.f64 (fma.f64 x -1/8 -1/2) (/.f64 -2 x)) (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2))) (*.f64 -1/8 x)) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) 2)) (cbrt.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))))))) |
(/.f64 (-.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))) (-.f64 (*.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) |
(/.f64 (+.f64 (fma.f64 x -1/8 -1/2) (/.f64 -2 x)) (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) |
(+.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 3))) (*.f64 (*.f64 x x) 1/64)) (*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 3))) (*.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (-.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (*.f64 -1/8 x))))) |
(/.f64 (fma.f64 (*.f64 x x) 1/64 (*.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (-.f64 (/.f64 2 x) (*.f64 x -1/8))))) (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) |
(/.f64 (fma.f64 x (*.f64 x 1/64) (*.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x 1/8))))) (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) |
(+.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 3))) (*.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (-.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (*.f64 -1/8 x)))) (*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) 3))) (*.f64 (*.f64 x x) 1/64))) |
(/.f64 (fma.f64 (*.f64 x x) 1/64 (*.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (-.f64 (/.f64 2 x) (*.f64 x -1/8))))) (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) |
(/.f64 (fma.f64 x (*.f64 x 1/64) (*.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x 1/8))))) (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))))) 1) |
(/.f64 1 (+.f64 (fma.f64 -1/8 x 1/2) (/.f64 2 x))) |
(/.f64 1 (+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))) |
(*.f64 1 (/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))) |
(/.f64 1 (+.f64 (fma.f64 -1/8 x 1/2) (/.f64 2 x))) |
(/.f64 1 (+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))) |
(*.f64 (/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) 1) |
(/.f64 1 (+.f64 (fma.f64 -1/8 x 1/2) (/.f64 2 x))) |
(/.f64 1 (+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))) |
(*.f64 (pow.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) -1/2) (pow.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) -1/2)) |
(/.f64 1 (+.f64 (fma.f64 -1/8 x 1/2) (/.f64 2 x))) |
(/.f64 1 (+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))) |
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))) (cbrt.f64 (pow.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) -2))) |
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (fma.f64 -1/8 x 1/2) (/.f64 2 x)))) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 -1/8 x 1/2) (/.f64 2 x)) -2))) |
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x))))) (cbrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x))) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) -2)) (cbrt.f64 (/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))))) |
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (fma.f64 -1/8 x 1/2) (/.f64 2 x)))) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 -1/8 x 1/2) (/.f64 2 x)) -2))) |
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x))))) (cbrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x))) -2))) |
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(expm1.f64 (log1p.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))) |
(+.f64 (fma.f64 -1/8 x 1/2) (/.f64 2 x)) |
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x))) |
(exp.f64 (log.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))) |
(+.f64 (fma.f64 -1/8 x 1/2) (/.f64 2 x)) |
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) 1)) |
(+.f64 (fma.f64 -1/8 x 1/2) (/.f64 2 x)) |
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x))) |
(log1p.f64 (expm1.f64 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))) |
(+.f64 (fma.f64 -1/8 x 1/2) (/.f64 2 x)) |
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x))) |
(fma.f64 1 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) |
(+.f64 (fma.f64 -1/8 x 1/2) (/.f64 2 x)) |
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x))) |
(fma.f64 1 (+.f64 1/2 (*.f64 2 (/.f64 1 x))) (*.f64 -1/8 x)) |
(+.f64 (fma.f64 -1/8 x 1/2) (/.f64 2 x)) |
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x))) |
(fma.f64 -1/8 x (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) |
(+.f64 (fma.f64 -1/8 x 1/2) (/.f64 2 x)) |
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x))) |
(fma.f64 x -1/8 (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) |
(+.f64 (fma.f64 -1/8 x 1/2) (/.f64 2 x)) |
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x))) |
(fma.f64 (sqrt.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) (*.f64 -1/8 x)) |
(+.f64 (fma.f64 -1/8 x 1/2) (/.f64 2 x)) |
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x))) |
(fma.f64 (sqrt.f64 (*.f64 -1/8 x)) (sqrt.f64 (*.f64 -1/8 x)) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) |
(+.f64 (fma.f64 -1/8 x 1/2) (/.f64 2 x)) |
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x))) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) 2) (cbrt.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) (*.f64 -1/8 x)) |
(+.f64 (fma.f64 -1/8 x 1/2) (/.f64 2 x)) |
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x))) |
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/64)) (cbrt.f64 (*.f64 -1/8 x)) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))) |
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/64))) (cbrt.f64 (*.f64 x -1/8)) (+.f64 1/2 (/.f64 2 x))) |
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/64)) (cbrt.f64 (*.f64 x -1/8)) (+.f64 1/2 (/.f64 2 x))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.7b | (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) |
Compiled 14 to 8 computations (42.9% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) |
| 0.0ms | x | @ | inf | (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) |
| 0.0ms | x | @ | 0 | (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) |
| 1× | batch-egg-rewrite |
| 1352× | add-sqr-sqrt |
| 1334× | *-un-lft-identity |
| 1238× | add-cube-cbrt |
| 1224× | add-cbrt-cube |
| 1208× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 15 |
| 1 | 154 | 15 |
| 2 | 1694 | 15 |
| 1× | node limit |
| Inputs |
|---|
(expm1.f64 (*.f64 (log1p.f64 x) 1/2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 x 1) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (+.f64 x 1) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x 1) 1/2)) 1) (+.f64 (pow.f64 (+.f64 x 1) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/2) 3) 1) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x 1) 1/2)) (+.f64 1 (*.f64 (pow.f64 (+.f64 x 1) 1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) |
| 1× | egg-herbie |
| 1086× | times-frac |
| 1000× | associate-/l* |
| 798× | associate-/r* |
| 770× | associate-*r* |
| 730× | *-commutative |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 1100 |
| 1 | 283 | 1056 |
| 2 | 919 | 916 |
| 3 | 3474 | 796 |
| 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 (pow.f64 (/.f64 1 x) -1/2) 1) |
(-.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) 1) |
(-.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))) 1) |
(-.f64 (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (pow.f64 (/.f64 1 x) -1/2) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) 1) |
(-.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 1) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (+.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1/8 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))))) 1) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (+.f64 (*.f64 1/16 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1/8 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))))) 1) |
(+.f64 (pow.f64 (+.f64 x 1) 1/2) -1) |
(-.f64 (pow.f64 (+.f64 x 1) 1/2) 1) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1) |
(*.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) |
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x 1) 1/2)) 1) (+.f64 (pow.f64 (+.f64 x 1) 1/2) 1)) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/2) 3) 1) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x 1) 1/2)) (+.f64 1 (*.f64 (pow.f64 (+.f64 x 1) 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) |
(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)))) |
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3)) |
(exp.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
| 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)) |
(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 -1/8 (*.f64 x 1/16)))) |
(*.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 1/2 x (fma.f64 x (*.f64 x -1/8) (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 1/16 (*.f64 x -5/128)))))) |
(-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) |
(+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) |
(-.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) 1) |
(+.f64 (pow.f64 (/.f64 1 x) -1/2) (-.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) 1)) |
(+.f64 (pow.f64 (/.f64 1 x) -1/2) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) -1)) |
(-.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))) 1) |
(+.f64 (pow.f64 (/.f64 1 x) -1/2) (-.f64 (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) 1)) |
(+.f64 (pow.f64 (/.f64 1 x) -1/2) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) -1))) |
(+.f64 (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (pow.f64 (/.f64 1 x) -1/2)) (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1)) |
(-.f64 (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (pow.f64 (/.f64 1 x) -1/2) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) 1) |
(+.f64 (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (+.f64 (pow.f64 (/.f64 1 x) -1/2) (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) -1) |
(+.f64 (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (+.f64 (pow.f64 (/.f64 1 x) -1/2) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))) -1) |
(fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (+.f64 (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (pow.f64 (/.f64 1 x) -1/2)) (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1))) |
(+.f64 (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (pow.f64 (/.f64 1 x) -1/2))) (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -1)) |
(-.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1) |
(expm1.f64 (*.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(expm1.f64 (*.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) |
(fma.f64 (pow.f64 (/.f64 -1 x) -1/2) (pow.f64 -1 1/2) -1) |
(expm1.f64 (*.f64 1/2 (log.f64 x))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 1) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)) (expm1.f64 (*.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) |
(fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (expm1.f64 (*.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) |
(fma.f64 1/2 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/2) (pow.f64 -1 1/2)) x) (fma.f64 (pow.f64 (/.f64 -1 x) -1/2) (pow.f64 -1 1/2) -1)) |
(+.f64 -1 (*.f64 (+.f64 (/.f64 1/2 x) 1) (sqrt.f64 (exp.f64 (log.f64 x))))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (+.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1/8 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))))) 1) |
(+.f64 (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) (pow.f64 (exp.f64 1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (*.f64 -1/8 (/.f64 (pow.f64 (exp.f64 1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)))) -1) |
(fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (exp.f64 1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x))) (expm1.f64 (*.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))) |
(+.f64 -1 (fma.f64 (pow.f64 (/.f64 -1 x) -1/2) (pow.f64 -1 1/2) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/2) (pow.f64 -1 1/2)) x) (+.f64 (/.f64 -1/8 x) 1/2)))) |
(+.f64 (expm1.f64 (*.f64 1/2 (log.f64 x))) (*.f64 (/.f64 (sqrt.f64 (exp.f64 (log.f64 x))) x) (+.f64 1/2 (/.f64 -1/8 x)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (+.f64 (*.f64 1/16 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1/8 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))))) 1) |
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) (fma.f64 1/16 (/.f64 (pow.f64 (exp.f64 1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 x 3)) (+.f64 (pow.f64 (exp.f64 1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 -1/8 (/.f64 (pow.f64 (exp.f64 1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)))))) -1) |
(+.f64 -1 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (fma.f64 1/16 (/.f64 (pow.f64 (exp.f64 1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)) (fma.f64 -1/8 (/.f64 (pow.f64 (exp.f64 1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (pow.f64 (exp.f64 1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))) |
(+.f64 -1 (fma.f64 1/16 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/2) (pow.f64 -1 1/2)) (pow.f64 x 3)) (fma.f64 (pow.f64 (/.f64 -1 x) -1/2) (pow.f64 -1 1/2) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/2) (pow.f64 -1 1/2)) x) (+.f64 (/.f64 -1/8 x) 1/2))))) |
(+.f64 (expm1.f64 (*.f64 1/2 (log.f64 x))) (*.f64 (/.f64 (sqrt.f64 (exp.f64 (log.f64 x))) x) (+.f64 1/2 (+.f64 (/.f64 -1/8 x) (/.f64 1/16 (*.f64 x x)))))) |
(+.f64 (pow.f64 (+.f64 x 1) 1/2) -1) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(-.f64 (pow.f64 (+.f64 x 1) 1/2) 1) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(*.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x 1) 1/2)) 1) (+.f64 (pow.f64 (+.f64 x 1) 1/2) 1)) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/2) 3) 1) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x 1) 1/2)) (+.f64 1 (*.f64 (pow.f64 (+.f64 x 1) 1/2) 1)))) |
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3) -1) (+.f64 (pow.f64 (+.f64 x 1) 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3)) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 1 (+.f64 x 1)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 2))) |
(pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3) 1/3) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2)) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(log.f64 (exp.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3)) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(exp.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
Compiled 28808 to 23020 computations (20.1% saved)
17 alts after pruning (6 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1040 | 5 | 1045 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 10 | 11 |
| Total | 1041 | 17 | 1058 |
| Status | Error | Program |
|---|---|---|
| ✓ | 21.8b | (/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
| ✓ | 0.2b | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| ✓ | 22.5b | (/.f64 x 2) |
| ✓ | 0.3b | (/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)) |
| ✓ | 22.6b | (/.f64 1 (/.f64 2 x)) |
| 41.5b | (/.f64 1 (-.f64 (+.f64 (*.f64 -1/8 x) (/.f64 1/4 (-.f64 1/2 (*.f64 2 (/.f64 1 x))))) (/.f64 4 (*.f64 (-.f64 1/2 (*.f64 2 (/.f64 1 x))) (*.f64 x x))))) | |
| 0.3b | (/.f64 1 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (+.f64 x 1)) x))) | |
| 22.8b | (/.f64 1 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (/.f64 1 x))))) | |
| 21.9b | (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (+.f64 (*.f64 1/2 x) 1)))) | |
| 41.5b | (/.f64 1 (+.f64 (-.f64 (/.f64 1/4 (-.f64 1/2 (/.f64 2 x))) (/.f64 4 (*.f64 (*.f64 x x) (-.f64 1/2 (/.f64 2 x))))) (*.f64 x -1/8))) | |
| ✓ | 22.8b | (/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) |
| ✓ | 21.9b | (/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
| ✓ | 37.1b | (+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
| ✓ | 22.8b | (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
| ✓ | 23.3b | (*.f64 x (+.f64 1/2 (*.f64 -1/8 x))) |
| ✓ | 1.7b | (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) |
| 60.8b | 2 |
Compiled 196 to 159 computations (18.9% saved)
| Inputs |
|---|
2 |
(/.f64 x 2) |
(/.f64 1 (/.f64 2 x)) |
(*.f64 x (+.f64 1/2 (*.f64 -1/8 x))) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
(/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) |
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (+.f64 (*.f64 1/2 x) 1)))) |
(/.f64 1 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (/.f64 1 x))))) |
(/.f64 1 (+.f64 (-.f64 (/.f64 1/4 (-.f64 1/2 (/.f64 2 x))) (/.f64 4 (*.f64 (*.f64 x x) (-.f64 1/2 (/.f64 2 x))))) (*.f64 x -1/8))) |
(/.f64 1 (-.f64 (+.f64 (*.f64 -1/8 x) (/.f64 1/4 (-.f64 1/2 (*.f64 2 (/.f64 1 x))))) (/.f64 4 (*.f64 (-.f64 1/2 (*.f64 2 (/.f64 1 x))) (*.f64 x x))))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)) |
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (+.f64 x 1)) x))) |
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) |
(expm1.f64 (*.f64 (log1p.f64 x) 1/2)) |
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (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 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) |
| Outputs |
|---|
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
2 calls:
| 11.0ms | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| 11.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 1 | x |
| 0.2b | 1 | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
Compiled 267 to 210 computations (21.3% saved)
| Inputs |
|---|
2 |
(/.f64 x 2) |
(/.f64 1 (/.f64 2 x)) |
(*.f64 x (+.f64 1/2 (*.f64 -1/8 x))) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
(/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) |
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (+.f64 (*.f64 1/2 x) 1)))) |
(/.f64 1 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (/.f64 1 x))))) |
(/.f64 1 (+.f64 (-.f64 (/.f64 1/4 (-.f64 1/2 (/.f64 2 x))) (/.f64 4 (*.f64 (*.f64 x x) (-.f64 1/2 (/.f64 2 x))))) (*.f64 x -1/8))) |
(/.f64 1 (-.f64 (+.f64 (*.f64 -1/8 x) (/.f64 1/4 (-.f64 1/2 (*.f64 2 (/.f64 1 x))))) (/.f64 4 (*.f64 (-.f64 1/2 (*.f64 2 (/.f64 1 x))) (*.f64 x x))))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
| Outputs |
|---|
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
1 calls:
| 14.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 2 | x |
Compiled 147 to 116 computations (21.1% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 2.9839958670974155e-5 | 0.00021745546437080946 |
| 10.0ms | 96× | body | 256 | valid |
Compiled 139 to 112 computations (19.4% saved)
| Inputs |
|---|
2 |
(/.f64 x 2) |
(/.f64 1 (/.f64 2 x)) |
(*.f64 x (+.f64 1/2 (*.f64 -1/8 x))) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) |
(/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))) |
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (+.f64 (*.f64 1/2 x) 1)))) |
(/.f64 1 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (/.f64 1 x))))) |
(/.f64 1 (+.f64 (-.f64 (/.f64 1/4 (-.f64 1/2 (/.f64 2 x))) (/.f64 4 (*.f64 (*.f64 x x) (-.f64 1/2 (/.f64 2 x))))) (*.f64 x -1/8))) |
(/.f64 1 (-.f64 (+.f64 (*.f64 -1/8 x) (/.f64 1/4 (-.f64 1/2 (*.f64 2 (/.f64 1 x))))) (/.f64 4 (*.f64 (-.f64 1/2 (*.f64 2 (/.f64 1 x))) (*.f64 x x))))) |
| Outputs |
|---|
(/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
1 calls:
| 8.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 21.8b | 1 | x |
Compiled 141 to 111 computations (21.3% saved)
| Inputs |
|---|
2 |
(/.f64 x 2) |
(/.f64 1 (/.f64 2 x)) |
(*.f64 x (+.f64 1/2 (*.f64 -1/8 x))) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
| Outputs |
|---|
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
1 calls:
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 21.9b | 1 | x |
Compiled 26 to 20 computations (23.1% saved)
Total -39.7b remaining (-176.6%)
Threshold costs -39.7b (-176.6%)
| Inputs |
|---|
2 |
(/.f64 x 2) |
(/.f64 1 (/.f64 2 x)) |
(*.f64 x (+.f64 1/2 (*.f64 -1/8 x))) |
| Outputs |
|---|
(/.f64 x 2) |
1 calls:
| 5.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 22.5b | 1 | x |
Compiled 19 to 14 computations (26.3% saved)
| 1× | egg-herbie |
| 14× | +-commutative |
| 8× | *-commutative |
| 2× | 1-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 126 |
| 1 | 46 | 126 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(if (<=.f64 x 6456360425798343/36893488147419103232) (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(/.f64 x 2) |
2 |
| Outputs |
|---|
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(if (<=.f64 x 6456360425798343/36893488147419103232) (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
(/.f64 x (+.f64 (*.f64 x 1/2) 2)) |
(/.f64 1 (+.f64 1/2 (/.f64 2 x))) |
(/.f64 x 2) |
2 |
Compiled 53 to 42 computations (20.8% saved)
| 3× | egg-herbie |
| 942× | associate-*r* |
| 856× | *-commutative |
| 812× | associate-+l+ |
| 812× | associate-+l+ |
| 784× | associate-+r+ |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 461 | 7516 |
| 1 | 1234 | 6766 |
| 2 | 5169 | 6716 |
| 0 | 102 | 1169 |
| 1 | 242 | 1079 |
| 2 | 842 | 1075 |
| 3 | 3789 | 865 |
| 0 | 461 | 7516 |
| 1 | 1234 | 6766 |
| 2 | 5169 | 6716 |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
Compiled 475 to 353 computations (25.7% saved)
Compiled 48 to 37 computations (22.9% saved)
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