Metrics for Numeric.Log:$clog1p from log-domain-0.10.2.1, A

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 14 to 9 computations (35.7% saved)

sample1.0s (59.9%)

Results

641.0ms	4643×	body	256	valid
389.0ms	3613×	body	256	infinite

Bogosity

preprocess20.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

52×	`fma-def`
22×	`+-commutative`
12×	`associate-+r+`
12×	`associate-+l+`
8×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	30	42
2	64	42
3	78	42
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
(+.f64 (+.f64 (.f64 y 2) (.f64 y y)) (*.f64 x x))

Outputs
(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
(+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))
(fma.f64 x (+.f64 x 2) (*.f64 y y))
(+.f64 (+.f64 (.f64 y 2) (.f64 y y)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 y (+.f64 2 y)))
(fma.f64 y (+.f64 2 y) (*.f64 x x))

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify14.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

28×	`fma-def`
12×	`+-commutative`
6×	`associate-+r+`
6×	`associate-+l+`
4×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	19	21
2	36	21
3	44	21

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

Inputs
(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))

Outputs
(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
(+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))
(fma.f64 x (+.f64 x 2) (*.f64 y y))

eval1.0ms (0%)

Compiler: Compiled 30 to 15 computations (50% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1	2	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	3	4

Accurracy

100.0%

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
▶	100.0%	(+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))
▶	99.6%	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
▶	100.0%	(+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))

Compiler

Compiled 48 to 30 computations (37.5% saved)

localize63.0ms (3.7%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(+.f64 (.f64 x 2) (.f64 x x))
✓	100.0%	(*.f64 x (+.f64 2 x))

Compiler

Compiled 56 to 25 computations (55.4% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite109.0ms (6.3%)

Algorithm

1×	batch-egg-rewrite

Rules

886×	`fma-def`
854×	`log-prod`
756×	`prod-exp`
628×	`exp-prod`
606×	`pow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	205	26
2	2610	26

Stop Event

1×	node limit

Counts

2 → 156

Calls

Call 1

Inputs
(*.f64 x (+.f64 2 x))
(+.f64 (.f64 x 2) (.f64 x x))

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

simplify73.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1254×	`fma-def`
1058×	`times-frac`
1026×	`distribute-lft-in`
998×	`distribute-rgt-in`
702×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	223	3816
1	566	3704
2	1512	3366

Stop Event

1×	node limit

Counts

180 → 107

Calls

Call 1

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

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

eval29.0ms (1.7%)

Compiler: Compiled 1683 to 866 computations (48.5% saved)

prune44.0ms (2.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	105	4	109

Accurracy

100.0%

Counts

109 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
▶	68.2%	(+.f64 (+.f64 x x) (*.f64 y y))
✓	100.0%	(+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))
▶	78.0%	(+.f64 (.f64 x x) (.f64 y y))
✓	99.6%	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
▶	68.2%	(+.f64 (+.f64 x x) (*.f64 y y))
✓	100.0%	(+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))
▶	78.0%	(+.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 84 to 50 computations (40.5% saved)

localize32.0ms (1.8%)

Compiler: Compiled 33 to 8 computations (75.8% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

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

Accurracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
✓	68.2%	(+.f64 (+.f64 x x) (*.f64 y y))
✓	100.0%	(+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))
✓	78.0%	(+.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 78 to 40 computations (48.7% saved)

regimes19.0ms (1.1%)

Counts

4 → 1

Calls

Call 1

Inputs
(+.f64 (.f64 x x) (.f64 y y))
(+.f64 (+.f64 x x) (*.f64 y y))
(+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))
(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))

Outputs
(+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))

Calls

5 calls:

4.0ms	(+.f64 (.f64 x 2) (.f64 x x))
4.0ms	x
4.0ms	y
3.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
3.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))`
100.0%	1	`(+.f64 (.f64 x 2) (.f64 x x))`
100.0%	1	`(*.f64 y y)`

Compiler

Compiled 69 to 36 computations (47.8% saved)

regimes42.0ms (2.4%)

Counts

2 → 3

Calls

Call 1

Inputs
(+.f64 (.f64 x x) (.f64 y y))
(+.f64 (+.f64 x x) (*.f64 y y))

Outputs
(+.f64 (.f64 x x) (.f64 y y))
(+.f64 (+.f64 x x) (*.f64 y y))
(+.f64 (.f64 x x) (.f64 y y))

Calls

3 calls:

20.0ms	y
12.0ms	(*.f64 y y)
9.0ms	x

Results

Accuracy	Segments	Branch
99.2%	3	`x`
89.9%	7	`y`
82.3%	2	`(*.f64 y y)`

Compiler

Compiled 27 to 14 computations (48.1% saved)

regimes8.0ms (0.5%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(+.f64 (.f64 x x) (.f64 y y))

Outputs
(+.f64 (.f64 x x) (.f64 y y))

Calls

3 calls:

3.0ms	y
2.0ms	x
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
78.0%	1	`y`
78.0%	1	`(*.f64 y y)`
78.0%	1	`x`

Compiler

Compiled 20 to 12 computations (40% saved)

bsearch29.0ms (1.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.001838277764478035	16.03748312820601
15.0ms	-352431.69252895744	-0.26453319088993277

Results

21.0ms	219×	body	256	valid
5.0ms	53×	body	256	infinite

Compiler

Compiled 358 to 216 computations (39.7% saved)

simplify5.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative`
2×	`if-if-or-not`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	107
1	31	107

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

(+.f64 (*.f64 x (+.f64 2 x)) (*.f64 y y))

(if (<=.f64 x -2) (+.f64 (*.f64 x x) (*.f64 y y)) (if (<=.f64 x 2) (+.f64 (+.f64 x x) (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y y))))

(+.f64 (*.f64 x x) (*.f64 y y))

Outputs
(+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))
(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
(if (<=.f64 x -2) (+.f64 (.f64 x x) (.f64 y y)) (if (<=.f64 x 2) (+.f64 (+.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (*.f64 y y))))
(if (or (<=.f64 x -2) (not (<=.f64 x 2))) (+.f64 (.f64 y y) (.f64 x x)) (+.f64 (*.f64 y y) (+.f64 x x)))
(+.f64 (.f64 x x) (.f64 y y))
(+.f64 (.f64 y y) (.f64 x x))

Compiler

Compiled 45 to 26 computations (42.2% saved)

soundness158.0ms (9.1%)

Rules

1254×	`fma-def`
1254×	`fma-def`
1058×	`times-frac`
1058×	`times-frac`
1026×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	19	21
2	36	21
3	44	21
0	223	3816
1	566	3704
2	1512	3366
0	223	3816
1	566	3704
2	1512	3366

Stop Event

1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 54 to 28 computations (48.1% saved)

end43.0ms (2.5%)

Compiler: Compiled 134 to 68 computations (49.3% saved)

analyze0.0ms (0%)

sample1.0s (59.9%)

preprocess20.0ms (1.2%)

simplify14.0ms (0.8%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize63.0ms (3.7%)

series2.0ms (0.1%)

rewrite109.0ms (6.3%)

simplify73.0ms (4.2%)

eval29.0ms (1.7%)

prune44.0ms (2.5%)

localize32.0ms (1.8%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes19.0ms (1.1%)

regimes42.0ms (2.4%)

regimes8.0ms (0.5%)

bsearch29.0ms (1.7%)

simplify5.0ms (0.3%)

soundness158.0ms (9.1%)

end43.0ms (2.5%)

Profiling