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)

sample1.6s (55.3%)

Results

657.0ms	2042×	body	1024	valid
594.0ms	4931×	body	256	valid
227.0ms	1038×	body	512	valid
97.0ms	245×	body	2048	valid

Bogosity

preprocess208.0ms (7.1%)

Algorithm

1×	egg-herbie

Rules

1036×	`fma-def`
970×	`associate-*l/`
668×	`unswap-sqr`
594×	`div-sub`
576×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	149
1	44	145
2	71	145
3	122	145
4	230	145
5	613	145
6	2188	145
7	4380	145
8	6943	145

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)
(-.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 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)
(-.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 12 to 11 computations (8.3% saved)

eval2.0ms (0.1%)

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

prune4.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.7%	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
▶	56.7%	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

Compiler

Compiled 24 to 22 computations (8.3% saved)

localize113.0ms (3.9%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 1 (exp.f64 (*.f64 -2 x)))
✓	56.7%	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

Compiler

Compiled 38 to 32 computations (15.8% saved)

series5.0ms (0.2%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(-.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	@	-inf	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
0.0ms	x	@	0	(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0ms	x	@	inf	(+.f64 1 (exp.f64 (*.f64 -2 x)))

rewrite82.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1030×	`log-prod`
614×	`pow-prod-down`
566×	`fma-def`
544×	`pow-prod-up`
518×	`prod-diff`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	256	46
2	3170	46

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

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

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

simplify112.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1028×	`fma-def`
672×	`unswap-sqr`
558×	`div-sub`
504×	`sqr-pow`
430×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	248	3780
1	554	3622
2	1576	3606
3	5800	3606

Stop Event

1×	node limit

Counts

110 → 143

Calls

Call 1

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

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

eval67.0ms (2.3%)

Compiler: Compiled 2410 to 2114 computations (12.3% saved)

prune24.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	140	3	143
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	140	4	144

Accuracy

100.0%

Counts

144 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	28.7%	(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
✓	56.7%	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
▶	46.9%	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
	49.1%	x
▶	28.7%	(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
✓	56.7%	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
▶	46.9%	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
	49.1%	x

Compiler

Compiled 70 to 60 computations (14.3% saved)

localize118.0ms (4.1%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	56.7%	(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
✓	99.8%	(*.f64 -1/3 (pow.f64 x 3))

Compiler

Compiled 49 to 39 computations (20.4% saved)

series4.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 -1/3 (pow.f64 x 3))
1.0ms	x	@	-inf	(*.f64 -1/3 (pow.f64 x 3))
1.0ms	x	@	inf	(*.f64 -1/3 (pow.f64 x 3))
0.0ms	x	@	inf	(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
0.0ms	x	@	0	(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)

rewrite85.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1186×	`log-prod`
672×	`pow-prod-down`
602×	`prod-diff`
570×	`pow-prod-up`
546×	`pow-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	310	34
2	3652	34

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

Outputs
(+.f64 0 (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.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 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 -1/3) (pow.f64 x 3/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))
(log.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3))
(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 (fma.f64 3 (log.f64 x) (log.f64 -1/3)) 1))
(exp.f64 (.f64 (.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/3)) 1) 1))
(exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 -1/3))) 3))
(exp.f64 (.f64 (.f64 3 (fma.f64 3 (log.f64 x) (log.f64 -1/3))) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 -1/3) (pow.f64 x 3/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)
(+.f64 0 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))
(+.f64 -1 (/.f64 2 (fma.f64 x -2 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))) (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))))
(*.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))
(*.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) 2) (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))
(*.f64 (+.f64 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)) -1) (/.f64 1 (+.f64 (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) 1) (/.f64 2 (fma.f64 x -2 2)))))
(*.f64 (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) -1) (/.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)))
(*.f64 (+.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) 1) (-.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) 1))
(/.f64 1 (/.f64 (+.f64 (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) 1) (/.f64 2 (fma.f64 x -2 2))) (+.f64 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)) -1)))
(/.f64 1 (/.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1) (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) -1)))
(/.f64 (+.f64 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)) -1) (+.f64 (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) 1) (/.f64 2 (fma.f64 x -2 2))))
(/.f64 (+.f64 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)) -1) (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) (-.f64 1 (*.f64 (/.f64 2 (fma.f64 x -2 2)) -1))))
(/.f64 (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) -1) (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1))
(/.f64 (neg.f64 (+.f64 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)) -1)) (neg.f64 (+.f64 (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) 1) (/.f64 2 (fma.f64 x -2 2)))))
(/.f64 (neg.f64 (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) -1)) (neg.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)))
(pow.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) 2)
(pow.f64 (/.f64 (+.f64 (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) 1) (/.f64 2 (fma.f64 x -2 2))) (+.f64 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)) -1)) -1)
(pow.f64 (/.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1) (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) -1)) -1)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 3))
(expm1.f64 (log.f64 (/.f64 2 (fma.f64 x -2 2))))
(expm1.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 x -2 2))) 1))
(exp.f64 (log.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))) 2))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))
(fma.f64 2 (/.f64 1 (fma.f64 x -2 2)) -1)
(fma.f64 2 (*.f64 (/.f64 1 (fma.f64 x -2 2)) 1) -1)
(fma.f64 -2 (/.f64 1 (neg.f64 (fma.f64 x -2 2))) -1)
(fma.f64 (/.f64 2 (fma.f64 x -2 2)) 1 -1)
(fma.f64 1 (/.f64 2 (fma.f64 x -2 2)) -1)
(fma.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) (cbrt.f64 (*.f64 4 (pow.f64 (fma.f64 x -2 2) -2))) -1)
(fma.f64 (cbrt.f64 (*.f64 4 (pow.f64 (fma.f64 x -2 2) -2))) (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) -1)
(fma.f64 (cbrt.f64 (.f64 4 (pow.f64 (fma.f64 x -2 2) -2))) (.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) 1) -1)
(fma.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) -1)
(fma.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) (*.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) 1) -1)
(fma.f64 (/.f64 1 (fma.f64 x -2 2)) 2 -1)
(fma.f64 (/.f64 2 (fma.f64 (pow.f64 x 3) -8 8)) (fma.f64 (*.f64 x -2) (fma.f64 x -2 -2) 4) -1)
(fma.f64 (/.f64 2 (-.f64 4 (.f64 4 (.f64 x x)))) (+.f64 2 (*.f64 2 x)) -1)

simplify87.0ms (3%)

Algorithm

1×	egg-herbie

Rules

890×	`fma-def`
658×	`distribute-rgt-in`
640×	`distribute-lft-in`
450×	`unswap-sqr`
420×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	215	2504
1	495	2350
2	1403	2264
3	5185	2264

Stop Event

1×	node limit

Counts

86 → 114

Calls

Call 1

Inputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 0 (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.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 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 -1/3) (pow.f64 x 3/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))
(log.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3))
(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 (fma.f64 3 (log.f64 x) (log.f64 -1/3)) 1))
(exp.f64 (.f64 (.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/3)) 1) 1))
(exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 -1/3))) 3))
(exp.f64 (.f64 (.f64 3 (fma.f64 3 (log.f64 x) (log.f64 -1/3))) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 -1/3) (pow.f64 x 3/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)
(+.f64 0 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))
(+.f64 -1 (/.f64 2 (fma.f64 x -2 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))) (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))))
(*.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))
(*.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) 2) (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))
(*.f64 (+.f64 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)) -1) (/.f64 1 (+.f64 (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) 1) (/.f64 2 (fma.f64 x -2 2)))))
(*.f64 (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) -1) (/.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)))
(*.f64 (+.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) 1) (-.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) 1))
(/.f64 1 (/.f64 (+.f64 (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) 1) (/.f64 2 (fma.f64 x -2 2))) (+.f64 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)) -1)))
(/.f64 1 (/.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1) (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) -1)))
(/.f64 (+.f64 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)) -1) (+.f64 (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) 1) (/.f64 2 (fma.f64 x -2 2))))
(/.f64 (+.f64 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)) -1) (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) (-.f64 1 (*.f64 (/.f64 2 (fma.f64 x -2 2)) -1))))
(/.f64 (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) -1) (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1))
(/.f64 (neg.f64 (+.f64 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)) -1)) (neg.f64 (+.f64 (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) 1) (/.f64 2 (fma.f64 x -2 2)))))
(/.f64 (neg.f64 (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) -1)) (neg.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)))
(pow.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) 2)
(pow.f64 (/.f64 (+.f64 (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) 1) (/.f64 2 (fma.f64 x -2 2))) (+.f64 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)) -1)) -1)
(pow.f64 (/.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1) (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) -1)) -1)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 3))
(expm1.f64 (log.f64 (/.f64 2 (fma.f64 x -2 2))))
(expm1.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 x -2 2))) 1))
(exp.f64 (log.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))) 2))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))
(fma.f64 2 (/.f64 1 (fma.f64 x -2 2)) -1)
(fma.f64 2 (*.f64 (/.f64 1 (fma.f64 x -2 2)) 1) -1)
(fma.f64 -2 (/.f64 1 (neg.f64 (fma.f64 x -2 2))) -1)
(fma.f64 (/.f64 2 (fma.f64 x -2 2)) 1 -1)
(fma.f64 1 (/.f64 2 (fma.f64 x -2 2)) -1)
(fma.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) (cbrt.f64 (*.f64 4 (pow.f64 (fma.f64 x -2 2) -2))) -1)
(fma.f64 (cbrt.f64 (*.f64 4 (pow.f64 (fma.f64 x -2 2) -2))) (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) -1)
(fma.f64 (cbrt.f64 (.f64 4 (pow.f64 (fma.f64 x -2 2) -2))) (.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) 1) -1)
(fma.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) -1)
(fma.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) (*.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) 1) -1)
(fma.f64 (/.f64 1 (fma.f64 x -2 2)) 2 -1)
(fma.f64 (/.f64 2 (fma.f64 (pow.f64 x 3) -8 8)) (fma.f64 (*.f64 x -2) (fma.f64 x -2 -2) 4) -1)
(fma.f64 (/.f64 2 (-.f64 4 (.f64 4 (.f64 x x)))) (+.f64 2 (*.f64 2 x)) -1)

Outputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3)))
(+.f64 (fma.f64 x x x) (pow.f64 x 3))
(fma.f64 x (fma.f64 x x x) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
(+.f64 (*.f64 x x) (+.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)))
(+.f64 (+.f64 (fma.f64 x x x) (pow.f64 x 3)) (pow.f64 x 4))
(*.f64 (fma.f64 x x 1) (fma.f64 x x x))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
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(fma.f64 1 (/.f64 2 (fma.f64 x -2 2)) -1)
(+.f64 -1 (/.f64 2 (fma.f64 x -2 2)))
(fma.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) (cbrt.f64 (*.f64 4 (pow.f64 (fma.f64 x -2 2) -2))) -1)
(fma.f64 (cbrt.f64 (*.f64 4 (pow.f64 (fma.f64 x -2 2) -2))) (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) -1)
(fma.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) (cbrt.f64 (*.f64 4 (pow.f64 (fma.f64 x -2 2) -2))) -1)
(fma.f64 (cbrt.f64 (.f64 4 (pow.f64 (fma.f64 x -2 2) -2))) (.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) 1) -1)
(fma.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) (cbrt.f64 (*.f64 4 (pow.f64 (fma.f64 x -2 2) -2))) -1)
(fma.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) -1)
(+.f64 -1 (/.f64 2 (fma.f64 x -2 2)))
(fma.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) (*.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) 1) -1)
(+.f64 -1 (/.f64 2 (fma.f64 x -2 2)))
(fma.f64 (/.f64 1 (fma.f64 x -2 2)) 2 -1)
(+.f64 -1 (/.f64 2 (fma.f64 x -2 2)))
(fma.f64 (/.f64 2 (fma.f64 (pow.f64 x 3) -8 8)) (fma.f64 (*.f64 x -2) (fma.f64 x -2 -2) 4) -1)
(fma.f64 (/.f64 2 (-.f64 4 (.f64 4 (.f64 x x)))) (+.f64 2 (*.f64 2 x)) -1)
(fma.f64 (/.f64 2 (+.f64 4 (.f64 -4 (.f64 x x)))) (+.f64 2 (*.f64 x 2)) -1)
(fma.f64 (/.f64 2 (+.f64 4 (.f64 (.f64 x x) -4))) (fma.f64 x 2 2) -1)
(fma.f64 (/.f64 2 (fma.f64 (*.f64 x x) -4 4)) (fma.f64 x 2 2) -1)

eval49.0ms (1.7%)

Compiler: Compiled 1629 to 1363 computations (16.3% saved)

prune21.0ms (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	0	1	1
Picked	1	1	2
Done	0	1	1
Total	114	4	118

Accuracy

100.0%

Counts

118 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.7%	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓	46.9%	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
	49.1%	x
	27.7%	-1
✓	56.7%	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓	46.9%	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
	49.1%	x
	27.7%	-1

Compiler

Compiled 54 to 46 computations (14.8% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	2	2
Total	4	4

Accuracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.7%	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓	46.9%	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
	49.1%	x
	27.7%	-1
✓	56.7%	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓	46.9%	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
	49.1%	x
	27.7%	-1

Compiler

Compiled 54 to 46 computations (14.8% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	2	2
Total	4	4

Accuracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.7%	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓	46.9%	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
	49.1%	x
	27.7%	-1

Compiler

Compiled 57 to 48 computations (15.8% saved)

regimes82.0ms (2.8%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

7 calls:

27.0ms	y
17.0ms	x
12.0ms	(*.f64 -2 x)
8.0ms	(exp.f64 (*.f64 -2 x))
5.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

Results

Accuracy	Segments	Branch
100.0%	3	`x`
63.8%	6	`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 77 to 65 computations (15.6% saved)

regimes10.0ms (0.4%)

Counts

4 → 2

Calls

Call 1

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

Outputs
-1
x

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
73.3%	2	`x`

Compiler

Compiled 23 to 18 computations (21.7% saved)

regimes9.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
-1

Outputs
-1

Calls

2 calls:

6.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
27.7%	1	`y`
27.7%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.3666423599088173e-5	5.342556714202106
0.0ms	-11925.405064327151	-9.089817833348111e-14

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch18.0ms (0.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	-2.671278357101053	-1.1833211799544086e-5

Results

16.0ms

144×

body

256

valid

Compiler

Compiled 89 to 78 computations (12.4% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative`
6×	`*-commutative`
4×	`sub-neg`
2×	`*-rgt-identity`
2×	`mul-1-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	97
1	42	97
2	45	97
3	50	97

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

(if (<=.f64 (*.f64 -2 x) -10000) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) (if (<=.f64 (*.f64 -2 x) 5902958103587057/147573952589676412928) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))

(if (<=.f64 x -1) -1 x)

-1

Outputs
(if (<=.f64 (.f64 -2 x) -10000) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (.f64 -2 x)))) 1) (if (<=.f64 (.f64 -2 x) 5902958103587057/147573952589676412928) (+.f64 (.f64 -1/3 (pow.f64 x 3)) x) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
(if (or (<=.f64 (.f64 -2 x) -10000) (not (<=.f64 (.f64 -2 x) 5902958103587057/147573952589676412928))) (-.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) -10000) (not (<=.f64 (.f64 -2 x) 5902958103587057/147573952589676412928))) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (.f64 -2 x)))) -1) (+.f64 x (.f64 -1/3 (pow.f64 x 3))))
(if (<=.f64 x -1) -1 x)
-1

Compiler

Compiled 43 to 36 computations (16.3% saved)

soundness132.0ms (4.5%)

Rules

1028×	`fma-def`
672×	`unswap-sqr`
558×	`div-sub`
504×	`sqr-pow`
430×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	248	3780
1	554	3622
2	1576	3606
3	5800	3606

Stop Event

1×	node limit

Compiler

Compiled 20 to 18 computations (10% saved)

end0.0ms (0%)

preprocess55.0ms (1.9%)

Remove: (abs y)
Compiler: Compiled 166 to 140 computations (15.7% saved)

analyze0.0ms (0%)

sample1.6s (55.3%)

preprocess208.0ms (7.1%)

eval2.0ms (0.1%)

prune4.0ms (0.1%)

localize113.0ms (3.9%)

series5.0ms (0.2%)

rewrite82.0ms (2.8%)

simplify112.0ms (3.8%)

eval67.0ms (2.3%)

prune24.0ms (0.8%)

localize118.0ms (4.1%)

series4.0ms (0.1%)

rewrite85.0ms (2.9%)

simplify87.0ms (3%)

eval49.0ms (1.7%)

prune21.0ms (0.7%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes82.0ms (2.8%)

regimes10.0ms (0.4%)

regimes9.0ms (0.3%)

bsearch0.0ms (0%)

bsearch18.0ms (0.6%)

simplify8.0ms (0.3%)

soundness132.0ms (4.5%)

end0.0ms (0%)

preprocess55.0ms (1.9%)

Profiling