Metrics for Logistic function from Lakshay Garg

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample1.5s (64.2%)

Results

629.0ms	2082×	body	1024	valid
522.0ms	4891×	body	256	valid
209.0ms	1035×	body	512	valid
146.0ms	248×	body	2048	valid

Bogosity

preprocess176.0ms (7.4%)

Algorithm

1×	egg-herbie

Rules

1060×	`fma-def`
982×	`associate-*l/`
668×	`unswap-sqr`
598×	`sub-neg`
572×	`div-sub`

Problems

143×	No Errors
113×	`(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	240
1	53	232
2	104	224
3	183	224
4	309	224
5	704	224
6	2272	224
7	4457	224
8	7011	224

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 (neg.f64 x))))) 1)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(neg.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 (neg.f64 x))))) 1))
(neg.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1))
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 y)))) 1)

Outputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 (neg.f64 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) (neg.f64 x)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 2 x)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 2) x))) -1)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(neg.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 (neg.f64 x))))) 1))
(neg.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) (neg.f64 x)))) -1))
(+.f64 (neg.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 2 x))))) 1)
(-.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(+.f64 1 (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(+.f64 1 (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(neg.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1))
(neg.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))
(+.f64 (neg.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1)
(-.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 1 (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 y)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) y))) -1)

Symmetry

(abs y)

Compiler

Compiled 50 to 43 computations (14% saved)

eval1.0ms (0%)

Compiler: Compiled 22 to 20 computations (9.1% saved)

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.9%	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
▶	58.9%	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

Compiler

Compiled 24 to 22 computations (8.3% saved)

localize94.0ms (4%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	58.9%	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

Compiler

Compiled 38 to 32 computations (15.8% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
1.0ms	x	@	-inf	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
1.0ms	x	@	0	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite146.0ms (6.2%)

Algorithm

1×	batch-egg-rewrite

Rules

751×	`log1p-expm1-u`
751×	`expm1-log1p-u`
702×	`log-prod`
538×	`fma-def`
500×	`prod-diff`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	32
1	157	32
2	2091	32

Stop Event

1×	node limit

Counts

1 → 54

Calls

Call 1

Inputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

Outputs
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (log.f64 (exp.f64 -1)))
(+.f64 0 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))))
(*.f64 1 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1)
(*.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 2) (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (sqrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (sqrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (/.f64 1 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1) (/.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (+.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 1) (-.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 1))
(/.f64 1 (/.f64 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1)))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1)))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) (-.f64 1 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))))
(/.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (neg.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1)) (neg.f64 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(/.f64 (neg.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1)) (neg.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(pow.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 3)
(pow.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 2)
(pow.f64 (/.f64 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1)) -1)
(pow.f64 (/.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1)) -1)
(sqrt.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2))
(log.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 3))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) 2))
(log1p.f64 (expm1.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(fma.f64 2 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) -2) -1)
(fma.f64 2 (*.f64 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) -2) 1) -1)
(fma.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(fma.f64 -2 (/.f64 1 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 -2) x)))) -1)
(fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1 -1)
(fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2) (*.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1) -1)
(fma.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) -1)
(fma.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) (*.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 1) -1)
(fma.f64 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) -2) 2 -1)
(fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 -2 x)) 1) -1)
(fma.f64 (/.f64 2 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (-.f64 1 (pow.f64 (exp.f64 -2) x)) -1)

simplify66.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

722×	`distribute-lft-in`
712×	`fma-def`
650×	`associate-r`
612×	`distribute-rgt-in`
588×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	174	3242
1	376	3047
2	930	2994
3	3786	2804

Stop Event

1×	node limit

Counts

66 → 78

Calls

Call 1

Inputs
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5))))
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (log.f64 (exp.f64 -1)))
(+.f64 0 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))))
(*.f64 1 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1)
(*.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 2) (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (sqrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (sqrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (/.f64 1 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1) (/.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (+.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 1) (-.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 1))
(/.f64 1 (/.f64 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1)))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1)))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) (-.f64 1 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))))
(/.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (neg.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1)) (neg.f64 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(/.f64 (neg.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1)) (neg.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(pow.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 3)
(pow.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 2)
(pow.f64 (/.f64 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1)) -1)
(pow.f64 (/.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1)) -1)
(sqrt.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2))
(log.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 3))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) 2))
(log1p.f64 (expm1.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(fma.f64 2 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) -2) -1)
(fma.f64 2 (*.f64 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) -2) 1) -1)
(fma.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(fma.f64 -2 (/.f64 1 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 -2) x)))) -1)
(fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1 -1)
(fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2) (*.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1) -1)
(fma.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) -1)
(fma.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) (*.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 1) -1)
(fma.f64 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) -2) 2 -1)
(fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 -2 x)) 1) -1)
(fma.f64 (/.f64 2 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (-.f64 1 (pow.f64 (exp.f64 -2) x)) -1)

Outputs
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7)))))
(+.f64 x (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))))
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (log.f64 (exp.f64 -1)))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 0 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(*.f64 1 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(*.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(*.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (log.f64 (exp.f64 1)))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(*.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 2))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 2) (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(*.f64 (sqrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (sqrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(*.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (/.f64 1 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (/.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1))))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1)))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (+.f64 1 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1) (/.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(/.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1) (-.f64 (/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) -1))
(*.f64 (+.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 1) (-.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 1))
(*.f64 (+.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x))))) (+.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x)))) -1))
(fma.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) -1)
(fma.f64 2 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) -1)
(/.f64 1 (/.f64 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1)))
(*.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (/.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1))))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1)))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (+.f64 1 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1)))
(*.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1) (/.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(/.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1) (-.f64 (/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) -1))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (/.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1))))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1)))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (+.f64 1 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) (-.f64 1 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))))
(*.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (/.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1))))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1)))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (+.f64 1 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(/.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1) (/.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(/.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1) (-.f64 (/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) -1))
(/.f64 (neg.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1)) (neg.f64 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (/.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1))))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1)))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (+.f64 1 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(/.f64 (neg.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1)) (neg.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1) (/.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(/.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1) (-.f64 (/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) -1))
(pow.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 3)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(pow.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2) 1/2)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(pow.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 3) 1/3)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(pow.f64 (sqrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 2)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(pow.f64 (/.f64 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1)) -1)
(*.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (/.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1))))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1)))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (+.f64 1 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(pow.f64 (/.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1)) -1)
(*.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1) (/.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(/.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1) (-.f64 (/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) -1))
(sqrt.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(log.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 3))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 1))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (.f64 (.f64 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 1) 1))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) 3))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (.f64 (.f64 3 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) 1/3))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) 2))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(log1p.f64 (expm1.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(fma.f64 2 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) -2) -1)
(*.f64 (+.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x))))) (+.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x)))) -1))
(fma.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) -1)
(fma.f64 2 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) -1)
(fma.f64 2 (*.f64 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) -2) 1) -1)
(*.f64 (+.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x))))) (+.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x)))) -1))
(fma.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) -1)
(fma.f64 2 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) -1)
(fma.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(fma.f64 -2 (/.f64 1 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 -2) x)))) -1)
(fma.f64 -2 (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 -1 (/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1 -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2) (*.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(fma.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) -1)
(*.f64 (+.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x))))) (+.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x)))) -1))
(fma.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) -1)
(fma.f64 2 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) -1)
(fma.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) (*.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 1) -1)
(*.f64 (+.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x))))) (+.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x)))) -1))
(fma.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) -1)
(fma.f64 2 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) -1)
(fma.f64 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) -2) 2 -1)
(*.f64 (+.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x))))) (+.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x)))) -1))
(fma.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) -1)
(fma.f64 2 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) -1)
(fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 -2 x)) 1) -1)
(fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 x -2)) 1) -1)
(fma.f64 (/.f64 2 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (-.f64 1 (pow.f64 (exp.f64 -2) x)) -1)
(fma.f64 (/.f64 2 (neg.f64 (expm1.f64 (.f64 x -4)))) (neg.f64 (expm1.f64 (.f64 x -2))) -1)

eval41.0ms (1.7%)

Compiler: Compiled 1377 to 1217 computations (11.6% saved)

prune13.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	76	3	79

Accuracy

100.0%

Counts

79 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.9%	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
▶	44.7%	(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
	47.0%	x
✓	58.9%	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
▶	44.7%	(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
	47.0%	x

Compiler

Compiled 48 to 40 computations (16.7% saved)

localize42.0ms (1.8%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	99.8%	(*.f64 -1/3 (pow.f64 x 3))

Compiler

Compiled 21 to 16 computations (23.8% saved)

series2.0ms (0.1%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 -1/3 (pow.f64 x 3))
1.0ms	x	@	0	(*.f64 -1/3 (pow.f64 x 3))
0.0ms	x	@	inf	(*.f64 -1/3 (pow.f64 x 3))

rewrite49.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1014×	`associate-r`
870×	`associate-l`
466×	`unpow-prod-down`
306×	`log-prod`
282×	`cbrt-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	74	16
2	733	16

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 -1/3 (pow.f64 x 3))

Outputs
(+.f64 (+.f64 1 (*.f64 -1/3 (pow.f64 x 3))) -1)
(+.f64 0 (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) (*.f64 2 (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)) (log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)))
(-.f64 (+.f64 1 (*.f64 -1/3 (pow.f64 x 3))) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 -1/3 (pow.f64 x 3))) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 -1/3 (pow.f64 x 3))) (+.f64 1 (.f64 -1/3 (pow.f64 x 3)))) (+.f64 1 (.f64 (+.f64 1 (.f64 -1/3 (pow.f64 x 3))) 1))))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 -1/3 (pow.f64 x 3))) (+.f64 1 (.f64 -1/3 (pow.f64 x 3)))) 1) (+.f64 (+.f64 1 (.f64 -1/3 (pow.f64 x 3))) 1))
(pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/3)) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 1/9) 1/2)
(pow.f64 (*.f64 (pow.f64 x 9) -1/27) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) 2)
(pow.f64 (E.f64) (fma.f64 3 (log.f64 x) (log.f64 -1/3)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/3))) 2)) (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/3)))) (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/3))))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))
(fabs.f64 (*.f64 -1/3 (pow.f64 x 3)))
(log.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 9) -1/27))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3))))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/3)))
(exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 -1/3))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 9) -1/27)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3))) 2))
(log1p.f64 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3))))

simplify46.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1222×	`associate-/l*`
1184×	`associate-/r*`
958×	`fma-neg`
628×	`associate-r`
602×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	94	868
1	229	646
2	663	629
3	3431	629

Stop Event

1×	node limit

Counts

25 → 32

Calls

Call 1

Inputs
(+.f64 (+.f64 1 (*.f64 -1/3 (pow.f64 x 3))) -1)
(+.f64 0 (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) (*.f64 2 (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)) (log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)))
(-.f64 (+.f64 1 (*.f64 -1/3 (pow.f64 x 3))) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 -1/3 (pow.f64 x 3))) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 -1/3 (pow.f64 x 3))) (+.f64 1 (.f64 -1/3 (pow.f64 x 3)))) (+.f64 1 (.f64 (+.f64 1 (.f64 -1/3 (pow.f64 x 3))) 1))))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 -1/3 (pow.f64 x 3))) (+.f64 1 (.f64 -1/3 (pow.f64 x 3)))) 1) (+.f64 (+.f64 1 (.f64 -1/3 (pow.f64 x 3))) 1))
(pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/3)) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 1/9) 1/2)
(pow.f64 (*.f64 (pow.f64 x 9) -1/27) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) 2)
(pow.f64 (E.f64) (fma.f64 3 (log.f64 x) (log.f64 -1/3)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/3))) 2)) (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/3)))) (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/3))))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))
(fabs.f64 (*.f64 -1/3 (pow.f64 x 3)))
(log.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 9) -1/27))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3))))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/3)))
(exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 -1/3))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 9) -1/27)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3))) 2))
(log1p.f64 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3))))

Outputs
(+.f64 (+.f64 1 (*.f64 -1/3 (pow.f64 x 3))) -1)
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) -1))
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 0 (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) -1))
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) (*.f64 2 (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) (*.f64 (pow.f64 x 3) 2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)) (log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)))
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) -1))
(*.f64 -1/3 (pow.f64 x 3))
(-.f64 (+.f64 1 (*.f64 -1/3 (pow.f64 x 3))) 1)
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) -1))
(*.f64 -1/3 (pow.f64 x 3))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 -1/3 (pow.f64 x 3))) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 -1/3 (pow.f64 x 3))) (+.f64 1 (.f64 -1/3 (pow.f64 x 3)))) (+.f64 1 (.f64 (+.f64 1 (.f64 -1/3 (pow.f64 x 3))) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (.f64 -1/3 (pow.f64 x 3))) 3) -1) (fma.f64 (+.f64 1 (.f64 -1/3 (pow.f64 x 3))) (+.f64 1 (.f64 -1/3 (pow.f64 x 3))) (+.f64 1 (+.f64 1 (.f64 -1/3 (pow.f64 x 3))))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) 1) 3)) (fma.f64 (fma.f64 -1/3 (pow.f64 x 3) 1) (fma.f64 -1/3 (pow.f64 x 3) 1) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) 1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/3 (pow.f64 x 3) 1) (fma.f64 -1/3 (pow.f64 x 3) 2))))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 -1/3 (pow.f64 x 3))) (+.f64 1 (.f64 -1/3 (pow.f64 x 3)))) 1) (+.f64 (+.f64 1 (.f64 -1/3 (pow.f64 x 3))) 1))
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) -1))
(*.f64 -1/3 (pow.f64 x 3))
(pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 1)
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) -1))
(*.f64 -1/3 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -1/3)) 3)
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) -1))
(*.f64 -1/3 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 6) 1/9) 1/2)
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) -1))
(*.f64 -1/3 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 9) -1/27) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 9) -1/27))
(cbrt.f64 (*.f64 -1/27 (pow.f64 x 9)))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) 2)
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) -1))
(*.f64 -1/3 (pow.f64 x 3))
(pow.f64 (E.f64) (fma.f64 3 (log.f64 x) (log.f64 -1/3)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/3))) 2)) (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/3)))) (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/3))))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) -1))
(*.f64 -1/3 (pow.f64 x 3))
(fabs.f64 (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) -1))
(*.f64 -1/3 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) -1))
(*.f64 -1/3 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 x 9) -1/27))
(cbrt.f64 (*.f64 -1/27 (pow.f64 x 9)))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) -1))
(*.f64 -1/3 (pow.f64 x 3))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/3)))
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) -1))
(*.f64 -1/3 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 -1/3))) 3))
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) -1))
(*.f64 -1/3 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 9) -1/27)) 1/3))
(cbrt.f64 (*.f64 (pow.f64 x 9) -1/27))
(cbrt.f64 (*.f64 -1/27 (pow.f64 x 9)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3))) 2))
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) -1))
(*.f64 -1/3 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) -1))
(*.f64 -1/3 (pow.f64 x 3))

eval11.0ms (0.5%)

Compiler: Compiled 473 to 386 computations (18.4% saved)

prune7.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	32	3	35

Accuracy

100.0%

Counts

35 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.9%	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓	44.7%	(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
	47.0%	x
✓	58.9%	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓	44.7%	(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
	47.0%	x

Compiler

Compiled 48 to 40 computations (16.7% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	2	2
Total	3	3

Accuracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.9%	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓	44.7%	(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
	47.0%	x
✓	58.9%	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓	44.7%	(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
	47.0%	x

Compiler

Compiled 48 to 40 computations (16.7% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	2	2
Total	3	3

Accuracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.9%	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓	44.7%	(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
	47.0%	x

Compiler

Compiled 44 to 36 computations (18.2% saved)

regimes80.0ms (3.4%)

Counts

3 → 3

Calls

Call 1

Inputs
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

Outputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

Calls

7 calls:

31.0ms	y
13.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
11.0ms	(*.f64 -2 x)
10.0ms	x
5.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

Results

Accuracy	Segments	Branch
100.0%	3	`x`
68.3%	9	`y`
100.0%	3	`(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)`
100.0%	3	`(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))`
100.0%	3	`(+.f64 1 (exp.f64 (*.f64 -2 x)))`
100.0%	3	`(exp.f64 (*.f64 -2 x))`
100.0%	3	`(*.f64 -2 x)`

Compiler

Compiled 67 to 56 computations (16.4% saved)

regimes9.0ms (0.4%)

Accuracy

Total -1.6b remaining (-4.7%)

Threshold costs -1.6b (-4.7%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))

Outputs
x

Calls

2 calls:

5.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
47.0%	1	`y`
47.0%	1	`x`

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.518325521886455e-19	0.991660027331172
0.0ms	-1858.6262485094694	-1.2320094509352491e-5

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative`
6×	`*-commutative`
4×	`unsub-neg`
4×	`sub-neg`
4×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	104
1	41	104
2	45	104
3	48	104
4	51	104
5	54	104

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

(if (<=.f64 (*.f64 -2 x) -1000) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) (if (<=.f64 (*.f64 -2 x) 2076918743413931/10384593717069655257060992658440192) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))

Outputs
(if (<=.f64 (.f64 -2 x) -1000) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (.f64 -2 x)))) 1) (if (<=.f64 (.f64 -2 x) 2076918743413931/10384593717069655257060992658440192) (+.f64 x (.f64 -1/3 (pow.f64 x 3))) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
(if (or (<=.f64 (.f64 -2 x) -1000) (not (<=.f64 (.f64 -2 x) 2076918743413931/10384593717069655257060992658440192))) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (.f64 -2 x)))) 1) (+.f64 x (.f64 -1/3 (pow.f64 x 3))))
(if (or (<=.f64 (.f64 -2 x) -1000) (not (<=.f64 (.f64 -2 x) 2076918743413931/10384593717069655257060992658440192))) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (.f64 -2 x)))) -1) (+.f64 x (.f64 -1/3 (pow.f64 x 3))))
x

Compiler

Compiled 35 to 29 computations (17.1% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess52.0ms (2.2%)

Remove: (abs y)
Compiler: Compiled 154 to 130 computations (15.6% saved)

analyze0.0ms (0%)

sample1.5s (64.2%)

preprocess176.0ms (7.4%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize94.0ms (4%)

series2.0ms (0.1%)

rewrite146.0ms (6.2%)

simplify66.0ms (2.8%)

eval41.0ms (1.7%)

prune13.0ms (0.6%)

localize42.0ms (1.8%)

series2.0ms (0.1%)

rewrite49.0ms (2.1%)

simplify46.0ms (1.9%)

eval11.0ms (0.5%)

prune7.0ms (0.3%)

localize0.0ms (0%)

eval0.0ms (0%)

prune2.0ms (0.1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes80.0ms (3.4%)

regimes9.0ms (0.4%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess52.0ms (2.2%)

Profiling