Metrics for ENA, Section 1.4, Exercise 4b, n=2

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25.7%	74.3%	0%	0%	0%	0
100%	25.7%	0%	74.3%	0%	0%	0%	1

Compiler

Compiled 26 to 19 computations (26.9% saved)

sample1.7s (25.6%)

Results

1.1s	6155×	body	256	valid
357.0ms	1014×	body	1024	valid
242.0ms	1066×	body	512	valid
7.0ms	21×	body	2048	valid

Bogosity

preprocess130.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1122×	`fma-def`
844×	`distribute-lft-neg-in`
844×	`unswap-sqr`
708×	`distribute-rgt-neg-in`
678×	`distribute-lft-out`

Problems

186×	No Errors
70×	`(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	141
1	63	125
2	238	125
3	715	95
4	3652	95

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
(-.f64 (pow.f64 (+.f64 (neg.f64 x) eps) 2) (pow.f64 (neg.f64 x) 2))
(-.f64 (pow.f64 (+.f64 x (neg.f64 eps)) 2) (pow.f64 x 2))
(-.f64 (pow.f64 (+.f64 eps x) 2) (pow.f64 eps 2))

Outputs
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
(*.f64 eps (+.f64 eps (+.f64 x x)))
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
(*.f64 eps (+.f64 eps (+.f64 x x)))
(-.f64 (pow.f64 (+.f64 (neg.f64 x) eps) 2) (pow.f64 (neg.f64 x) 2))
(-.f64 (pow.f64 (+.f64 eps (neg.f64 x)) 2) (pow.f64 (neg.f64 x) 2))
(-.f64 (pow.f64 (-.f64 eps x) 2) (*.f64 x x))
(.f64 eps (+.f64 eps (.f64 x -2)))
(-.f64 (pow.f64 (+.f64 x (neg.f64 eps)) 2) (pow.f64 x 2))
(-.f64 (pow.f64 (+.f64 eps (neg.f64 x)) 2) (pow.f64 (neg.f64 x) 2))
(-.f64 (pow.f64 (-.f64 eps x) 2) (*.f64 x x))
(.f64 eps (+.f64 eps (.f64 x -2)))
(-.f64 (pow.f64 (+.f64 eps x) 2) (pow.f64 eps 2))
(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 eps eps))
(*.f64 x (+.f64 x (+.f64 eps eps)))

Compiler

Compiled 37 to 22 computations (40.5% saved)

eval1.0ms (0%)

Compiler: Compiled 44 to 22 computations (50% saved)

prune16.0ms (0.2%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.9%	(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
▶	100.0%	(*.f64 eps (+.f64 eps (+.f64 x x)))
▶	76.9%	(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
▶	100.0%	(*.f64 eps (+.f64 eps (+.f64 x x)))

Compiler

Compiled 40 to 24 computations (40% saved)

localize104.0ms (1.5%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
	77.0%	(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
	100.0%	(pow.f64 (+.f64 x eps) 2)
	100.0%	(*.f64 eps (+.f64 eps (+.f64 x x)))
✓	100.0%	(pow.f64 (+.f64 x eps) 2)
✓	77.0%	(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
✓	100.0%	(*.f64 eps (+.f64 eps (+.f64 x x)))

Compiler

Compiled 43 to 14 computations (67.4% saved)

series8.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
1.0ms	eps	@	inf	(*.f64 eps (+.f64 eps (+.f64 x x)))
0.0ms	x	@	0	(*.f64 eps (+.f64 eps (+.f64 x x)))
0.0ms	eps	@	0	(*.f64 eps (+.f64 eps (+.f64 x x)))
0.0ms	x	@	inf	(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))

rewrite109.0ms (1.6%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

1536×	`frac-times`
406×	`associate-*l/`
406×	`associate-*r/`
396×	`fma-def`
314×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	57
1	75	57
2	713	57

Stop Event

1×	node limit

Counts

3 → 117

Calls

Call 1

Inputs
(*.f64 eps (+.f64 eps (+.f64 x x)))
(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
(pow.f64 (+.f64 x eps) 2)

Outputs
-8
-4
-3
-2
-1
0
1/4
1/2
3/4
1
3/2
2
3
4
9/2
5
6
8
9
12
16
18
64
512
x
-8
-4
-3
-2
-1
0
1/4
1/2
3/4
1
3/2
2
3
4
9/2
5
6
8
9
12
16
18
64
512
x
-8
-4
-3
-2
-1
0
1/4
1/2
3/4
1
3/2
2
3
4
9/2
5
6
8
9
12
16
18
64
512
x

Calls

9 calls:

1.0ms	(*.f64 eps (+.f64 eps (+.f64 x x)))
0.0ms	(*.f64 eps (+.f64 eps (+.f64 x x)))
0.0ms	(pow.f64 (+.f64 x eps) 2)
0.0ms	(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
0.0ms	(*.f64 eps (+.f64 eps (+.f64 x x)))

simplify127.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

683×	`*-commutative`
603×	`fma-def`
585×	`sqr-pow`
518×	`distribute-lft-out`
505×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	2585
1	218	2063
2	828	1757
3	2717	1757
4	4614	1757

Stop Event

1×	node limit

Counts

189 → 79

Calls

Call 1

Inputs
(.f64 2 (.f64 eps x))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(pow.f64 eps 2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(pow.f64 eps 2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(pow.f64 eps 2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(.f64 2 (.f64 eps x))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(.f64 2 (.f64 eps x))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(pow.f64 eps 2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(.f64 2 (.f64 eps x))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(.f64 2 (.f64 eps x))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(.f64 2 (.f64 eps x))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(pow.f64 eps 2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(pow.f64 eps 2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(pow.f64 eps 2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2))
(+.f64 (.f64 2 (.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2))
(+.f64 (.f64 2 (.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2))
(+.f64 (.f64 2 (.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(pow.f64 eps 2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(pow.f64 eps 2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
-8
-4
-3
-2
-1
0
1/4
1/2
3/4
1
3/2
2
3
4
9/2
5
6
8
9
12
16
18
64
512
(exp.f64 (log.f64 (*.f64 eps (+.f64 eps (+.f64 x x)))))
(log.f64 (exp.f64 (*.f64 eps (+.f64 eps (+.f64 x x)))))
(.f64 (sqrt.f64 (.f64 eps (+.f64 eps (+.f64 x x)))) (sqrt.f64 (*.f64 eps (+.f64 eps (+.f64 x x)))))
(.f64 1 (.f64 eps (+.f64 eps (+.f64 x x))))
(pow.f64 (*.f64 eps (+.f64 eps (+.f64 x x))) 1)
(.f64 (.f64 (cbrt.f64 (.f64 eps (+.f64 eps (+.f64 x x)))) (cbrt.f64 (.f64 eps (+.f64 eps (+.f64 x x))))) (cbrt.f64 (*.f64 eps (+.f64 eps (+.f64 x x)))))
(cbrt.f64 (.f64 (.f64 (.f64 eps (+.f64 eps (+.f64 x x))) (.f64 eps (+.f64 eps (+.f64 x x)))) (*.f64 eps (+.f64 eps (+.f64 x x)))))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 eps (+.f64 x x)))))
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 eps (+.f64 x x)))))
(binary32->binary64 (binary64->binary32 (*.f64 eps (+.f64 eps (+.f64 x x)))))
(binary32->binary64 (binary64->binary32 (*.f64 eps (+.f64 eps (+.f64 x x)))))
(binary32->binary64 (*.f32 (binary64->binary32 eps) (+.f32 (binary64->binary32 eps) (+.f32 (binary64->binary32 x) (binary64->binary32 x)))))
-8
-4
-3
-2
-1
0
1/4
1/2
3/4
1
3/2
2
3
4
9/2
5
6
8
9
12
16
18
64
512
(exp.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))
(log.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))
(.f64 1 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)))
(pow.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) 1)
(.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))
(cbrt.f64 (.f64 (.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x))) (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))
(binary32->binary64 (binary64->binary32 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))
(binary32->binary64 (binary64->binary32 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))
(binary32->binary64 (-.f32 (pow.f32 (+.f32 (binary64->binary32 x) (binary64->binary32 eps)) 2) (*.f32 (binary64->binary32 x) (binary64->binary32 x))))
-8
-4
-3
-2
-1
0
1/4
1/2
3/4
1
3/2
2
3
4
9/2
5
6
8
9
12
16
18
64
512
(exp.f64 (log.f64 (pow.f64 (+.f64 x eps) 2)))
(log.f64 (exp.f64 (pow.f64 (+.f64 x eps) 2)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x eps) 2)) (sqrt.f64 (pow.f64 (+.f64 x eps) 2)))
(*.f64 1 (pow.f64 (+.f64 x eps) 2))
(pow.f64 (pow.f64 (+.f64 x eps) 2) 1)
(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (cbrt.f64 (pow.f64 (+.f64 x eps) 2))) (cbrt.f64 (pow.f64 (+.f64 x eps) 2)))
(cbrt.f64 (.f64 (.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 (+.f64 x eps) 2)) (pow.f64 (+.f64 x eps) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x eps) 2)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x eps) 2)))
(binary32->binary64 (binary64->binary32 (pow.f64 (+.f64 x eps) 2)))
(binary32->binary64 (binary64->binary32 (pow.f64 (+.f64 x eps) 2)))
(binary32->binary64 (pow.f32 (+.f32 (binary64->binary32 x) (binary64->binary32 eps)) 2))
(binary32->binary64 (binary64->binary32 (*.f64 eps (+.f64 eps (+.f64 x x)))))
(binary32->binary64 (binary64->binary32 (*.f64 eps (+.f64 eps (+.f64 x x)))))
(binary32->binary64 (*.f32 (binary64->binary32 eps) (+.f32 (binary64->binary32 eps) (+.f32 (binary64->binary32 x) (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (pow.f64 (+.f64 x eps) 2)))
(binary32->binary64 (binary64->binary32 (pow.f64 (+.f64 x eps) 2)))
(binary32->binary64 (pow.f32 (+.f32 (binary64->binary32 x) (binary64->binary32 eps)) 2))
(binary32->binary64 (binary64->binary32 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))
(binary32->binary64 (binary64->binary32 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))
(binary32->binary64 (-.f32 (pow.f32 (+.f32 (binary64->binary32 x) (binary64->binary32 eps)) 2) (*.f32 (binary64->binary32 x) (binary64->binary32 x))))

Outputs
(.f64 2 (.f64 eps x))
(*.f64 eps (+.f64 x x))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 2 (.f64 eps x))
(*.f64 eps (+.f64 x x))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 2 (.f64 eps x))
(*.f64 eps (+.f64 x x))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 2 (.f64 eps x))
(*.f64 eps (+.f64 x x))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 2 (.f64 eps x))
(*.f64 eps (+.f64 x x))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 2 (.f64 eps x))
(*.f64 eps (+.f64 x x))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 2 (.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 eps (fma.f64 2 x eps)))
(pow.f64 (+.f64 eps x) 2)
(+.f64 (.f64 2 (.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 eps (fma.f64 2 x eps)))
(pow.f64 (+.f64 eps x) 2)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2))
(fma.f64 2 (.f64 eps x) (.f64 x x))
(.f64 x (+.f64 (.f64 2 eps) x))
(*.f64 x (fma.f64 2 eps x))
(+.f64 (.f64 2 (.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 eps (fma.f64 2 x eps)))
(pow.f64 (+.f64 eps x) 2)
(+.f64 (.f64 2 (.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 eps (fma.f64 2 x eps)))
(pow.f64 (+.f64 eps x) 2)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2))
(fma.f64 2 (.f64 eps x) (.f64 x x))
(.f64 x (+.f64 (.f64 2 eps) x))
(*.f64 x (fma.f64 2 eps x))
(+.f64 (.f64 2 (.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 eps (fma.f64 2 x eps)))
(pow.f64 (+.f64 eps x) 2)
(+.f64 (.f64 2 (.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 eps (fma.f64 2 x eps)))
(pow.f64 (+.f64 eps x) 2)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2))
(fma.f64 2 (.f64 eps x) (.f64 x x))
(.f64 x (+.f64 (.f64 2 eps) x))
(*.f64 x (fma.f64 2 eps x))
(+.f64 (.f64 2 (.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 eps (fma.f64 2 x eps)))
(pow.f64 (+.f64 eps x) 2)
(+.f64 (.f64 2 (.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 eps (fma.f64 2 x eps)))
(pow.f64 (+.f64 eps x) 2)
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 2 (.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 eps (fma.f64 2 x eps)))
(pow.f64 (+.f64 eps x) 2)
(+.f64 (.f64 2 (.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 eps (fma.f64 2 x eps)))
(pow.f64 (+.f64 eps x) 2)
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 2 (.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 eps (fma.f64 2 x eps)))
(pow.f64 (+.f64 eps x) 2)
(+.f64 (.f64 2 (.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 eps (fma.f64 2 x eps)))
(pow.f64 (+.f64 eps x) 2)
-8
-4
-3
-2
-1
0
1/4
1/2
3/4
1
3/2
2
3
4
9/2
5
6
8
9
12
16
18
64
512
(exp.f64 (log.f64 (*.f64 eps (+.f64 eps (+.f64 x x)))))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(log.f64 (exp.f64 (*.f64 eps (+.f64 eps (+.f64 x x)))))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (sqrt.f64 (.f64 eps (+.f64 eps (+.f64 x x)))) (sqrt.f64 (*.f64 eps (+.f64 eps (+.f64 x x)))))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 1 (.f64 eps (+.f64 eps (+.f64 x x))))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (*.f64 eps (+.f64 eps (+.f64 x x))) 1)
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (.f64 (cbrt.f64 (.f64 eps (+.f64 eps (+.f64 x x)))) (cbrt.f64 (.f64 eps (+.f64 eps (+.f64 x x))))) (cbrt.f64 (*.f64 eps (+.f64 eps (+.f64 x x)))))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(cbrt.f64 (.f64 (.f64 (.f64 eps (+.f64 eps (+.f64 x x))) (.f64 eps (+.f64 eps (+.f64 x x)))) (*.f64 eps (+.f64 eps (+.f64 x x)))))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 eps (+.f64 x x)))))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 eps (+.f64 x x)))))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(binary32->binary64 (binary64->binary32 (*.f64 eps (+.f64 eps (+.f64 x x)))))
(binary32->binary64 (binary64->binary32 (*.f64 eps (fma.f64 2 x eps))))
(binary32->binary64 (binary64->binary32 (*.f64 eps (+.f64 eps (+.f64 x x)))))
(binary32->binary64 (binary64->binary32 (*.f64 eps (fma.f64 2 x eps))))
(binary32->binary64 (*.f32 (binary64->binary32 eps) (+.f32 (binary64->binary32 eps) (+.f32 (binary64->binary32 x) (binary64->binary32 x)))))
(binary32->binary64 (.f32 (binary64->binary32 eps) (+.f32 (binary64->binary32 eps) (.f32 2 (binary64->binary32 x)))))
(binary32->binary64 (*.f32 (binary64->binary32 eps) (fma.f32 2 (binary64->binary32 x) (binary64->binary32 eps))))
-8
-4
-3
-2
-1
0
1/4
1/2
3/4
1
3/2
2
3
4
9/2
5
6
8
9
12
16
18
64
512
(exp.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(log.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 1 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) 1)
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(cbrt.f64 (.f64 (.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x))) (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(binary32->binary64 (binary64->binary32 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))
(binary32->binary64 (binary64->binary32 (*.f64 eps (+.f64 eps (+.f64 x x)))))
(binary32->binary64 (binary64->binary32 (*.f64 eps (fma.f64 2 x eps))))
(binary32->binary64 (binary64->binary32 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))
(binary32->binary64 (binary64->binary32 (*.f64 eps (+.f64 eps (+.f64 x x)))))
(binary32->binary64 (binary64->binary32 (*.f64 eps (fma.f64 2 x eps))))
(binary32->binary64 (-.f32 (pow.f32 (+.f32 (binary64->binary32 x) (binary64->binary32 eps)) 2) (*.f32 (binary64->binary32 x) (binary64->binary32 x))))
(binary32->binary64 (.f32 (binary64->binary32 eps) (+.f32 (binary64->binary32 eps) (.f32 2 (binary64->binary32 x)))))
(binary32->binary64 (*.f32 (binary64->binary32 eps) (fma.f32 2 (binary64->binary32 x) (binary64->binary32 eps))))
-8
-4
-3
-2
-1
0
1/4
1/2
3/4
1
3/2
2
3
4
9/2
5
6
8
9
12
16
18
64
512
(exp.f64 (log.f64 (pow.f64 (+.f64 x eps) 2)))
(+.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 eps (fma.f64 2 x eps)))
(pow.f64 (+.f64 eps x) 2)
(log.f64 (exp.f64 (pow.f64 (+.f64 x eps) 2)))
(+.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 eps (fma.f64 2 x eps)))
(pow.f64 (+.f64 eps x) 2)
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x eps) 2)) (sqrt.f64 (pow.f64 (+.f64 x eps) 2)))
(+.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 eps (fma.f64 2 x eps)))
(pow.f64 (+.f64 eps x) 2)
(*.f64 1 (pow.f64 (+.f64 x eps) 2))
(+.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 eps (fma.f64 2 x eps)))
(pow.f64 (+.f64 eps x) 2)
(pow.f64 (pow.f64 (+.f64 x eps) 2) 1)
(+.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 eps (fma.f64 2 x eps)))
(pow.f64 (+.f64 eps x) 2)
(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (cbrt.f64 (pow.f64 (+.f64 x eps) 2))) (cbrt.f64 (pow.f64 (+.f64 x eps) 2)))
(+.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 eps (fma.f64 2 x eps)))
(pow.f64 (+.f64 eps x) 2)
(cbrt.f64 (.f64 (.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 (+.f64 x eps) 2)) (pow.f64 (+.f64 x eps) 2)))
(+.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 eps (fma.f64 2 x eps)))
(pow.f64 (+.f64 eps x) 2)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x eps) 2)))
(+.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 eps (fma.f64 2 x eps)))
(pow.f64 (+.f64 eps x) 2)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x eps) 2)))
(+.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 eps (fma.f64 2 x eps)))
(pow.f64 (+.f64 eps x) 2)
(binary32->binary64 (binary64->binary32 (pow.f64 (+.f64 x eps) 2)))
(binary32->binary64 (binary64->binary32 (pow.f64 (+.f64 eps x) 2)))
(binary32->binary64 (binary64->binary32 (pow.f64 (+.f64 x eps) 2)))
(binary32->binary64 (binary64->binary32 (pow.f64 (+.f64 eps x) 2)))
(binary32->binary64 (pow.f32 (+.f32 (binary64->binary32 x) (binary64->binary32 eps)) 2))
(binary32->binary64 (pow.f32 (+.f32 (binary64->binary32 eps) (binary64->binary32 x)) 2))
(binary32->binary64 (binary64->binary32 (*.f64 eps (+.f64 eps (+.f64 x x)))))
(binary32->binary64 (binary64->binary32 (*.f64 eps (fma.f64 2 x eps))))
(binary32->binary64 (binary64->binary32 (*.f64 eps (+.f64 eps (+.f64 x x)))))
(binary32->binary64 (binary64->binary32 (*.f64 eps (fma.f64 2 x eps))))
(binary32->binary64 (*.f32 (binary64->binary32 eps) (+.f32 (binary64->binary32 eps) (+.f32 (binary64->binary32 x) (binary64->binary32 x)))))
(binary32->binary64 (.f32 (binary64->binary32 eps) (+.f32 (binary64->binary32 eps) (.f32 2 (binary64->binary32 x)))))
(binary32->binary64 (*.f32 (binary64->binary32 eps) (fma.f32 2 (binary64->binary32 x) (binary64->binary32 eps))))
(binary32->binary64 (binary64->binary32 (pow.f64 (+.f64 x eps) 2)))
(binary32->binary64 (binary64->binary32 (pow.f64 (+.f64 eps x) 2)))
(binary32->binary64 (binary64->binary32 (pow.f64 (+.f64 x eps) 2)))
(binary32->binary64 (binary64->binary32 (pow.f64 (+.f64 eps x) 2)))
(binary32->binary64 (pow.f32 (+.f32 (binary64->binary32 x) (binary64->binary32 eps)) 2))
(binary32->binary64 (pow.f32 (+.f32 (binary64->binary32 eps) (binary64->binary32 x)) 2))
(binary32->binary64 (binary64->binary32 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))
(binary32->binary64 (binary64->binary32 (*.f64 eps (+.f64 eps (+.f64 x x)))))
(binary32->binary64 (binary64->binary32 (*.f64 eps (fma.f64 2 x eps))))
(binary32->binary64 (binary64->binary32 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))
(binary32->binary64 (binary64->binary32 (*.f64 eps (+.f64 eps (+.f64 x x)))))
(binary32->binary64 (binary64->binary32 (*.f64 eps (fma.f64 2 x eps))))
(binary32->binary64 (-.f32 (pow.f32 (+.f32 (binary64->binary32 x) (binary64->binary32 eps)) 2) (*.f32 (binary64->binary32 x) (binary64->binary32 x))))
(binary32->binary64 (.f32 (binary64->binary32 eps) (+.f32 (binary64->binary32 eps) (.f32 2 (binary64->binary32 x)))))
(binary32->binary64 (*.f32 (binary64->binary32 eps) (fma.f32 2 (binary64->binary32 x) (binary64->binary32 eps))))

eval12.0ms (0.2%)

Compiler: Compiled 701 to 289 computations (58.8% saved)

prune51.0ms (0.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	73	6	79
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	73	8	81

Accuracy

100.0%

Counts

81 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 2 (.f64 eps x) (.f64 eps eps))
✓	76.9%	(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
▶	63.6%	(*.f64 eps (+.f64 x x))
✓	100.0%	(*.f64 eps (+.f64 eps (+.f64 x x)))
▶	74.8%	(*.f64 eps eps)
	4.3%	1/4
	39.9%	0
	2.9%	-1
▶	100.0%	(fma.f64 2 (.f64 eps x) (.f64 eps eps))
✓	76.9%	(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
▶	63.6%	(*.f64 eps (+.f64 x x))
✓	100.0%	(*.f64 eps (+.f64 eps (+.f64 x x)))
▶	74.8%	(*.f64 eps eps)
	4.3%	1/4
	39.9%	0
	2.9%	-1

Compiler

Compiled 102 to 68 computations (33.3% saved)

localize42.0ms (0.6%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
	100.0%	(fma.f64 2 (.f64 eps x) (.f64 eps eps))
✓	100.0%	(fma.f64 2 (.f64 eps x) (.f64 eps eps))

Compiler

Compiled 34 to 10 computations (70.6% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite179.0ms (2.6%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

1734×	`cancel-sign-sub-inv`
760×	`frac-2neg`
544×	`flip3-+`
304×	`associate-l`
292×	`frac-sub`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	13	21
2	40	19
3	268	15
4	2779	15

Stop Event

1×	node limit

Counts

1 → 236

Calls

Call 1

Inputs
(fma.f64 2 (.f64 eps x) (.f64 eps eps))

Outputs
(+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 (neg.f64 eps) (neg.f64 eps)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 (neg.f64 (neg.f64 eps)) eps))
(+.f64 (.f64 2 (.f64 eps x)) (.f64 1 (.f64 eps eps)))
(+.f64 (.f64 2 (.f64 eps x)) (.f64 (neg.f64 (.f64 (neg.f64 eps) (sqrt.f64 eps))) (sqrt.f64 eps)))
(+.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (neg.f64 (/.f64 (pow.f64 eps 4) (.f64 eps (fma.f64 2 x (neg.f64 eps))))))
(+.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (.f64 (neg.f64 (pow.f64 eps 4)) (/.f64 (/.f64 1 eps) (fma.f64 2 x (neg.f64 eps)))))
(+.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (.f64 (neg.f64 (/.f64 eps eps)) (/.f64 (pow.f64 eps 3) (fma.f64 2 x (neg.f64 eps)))))
(+.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (.f64 (neg.f64 (/.f64 (.f64 eps eps) eps)) (/.f64 (.f64 eps eps) (fma.f64 2 x (neg.f64 eps)))))
(+.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (.f64 (neg.f64 (/.f64 (pow.f64 eps 3) eps)) (/.f64 eps (fma.f64 2 x (neg.f64 eps)))))
(+.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (.f64 (neg.f64 (/.f64 (pow.f64 eps 4) (-.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (pow.f64 eps 4)))) (*.f64 eps (fma.f64 2 x eps))))
(+.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (.f64 (neg.f64 (/.f64 (pow.f64 eps 4) (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 3) (pow.f64 eps 6)))) (fma.f64 4 (pow.f64 (.f64 eps x) 2) (.f64 (pow.f64 eps 3) (fma.f64 2 x eps)))))
(-.f64 (.f64 2 (.f64 eps x)) (*.f64 eps (neg.f64 eps)))
(-.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (/.f64 (pow.f64 eps 4) (.f64 eps (fma.f64 2 x (neg.f64 eps)))))
(-.f64 (/.f64 (pow.f64 eps 4) (.f64 eps (+.f64 eps (.f64 -2 x)))) (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (+.f64 eps (.f64 -2 x)))))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (.f64 eps (fma.f64 2 x eps)) (.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (/.f64 (/.f64 1 eps) (fma.f64 2 x (neg.f64 eps)))))
(.f64 (fma.f64 8 (pow.f64 (.f64 eps x) 3) (pow.f64 eps 6)) (/.f64 1 (fma.f64 4 (pow.f64 (.f64 eps x) 2) (.f64 (pow.f64 eps 3) (+.f64 eps (*.f64 -2 x))))))
(.f64 (fma.f64 4 (pow.f64 (.f64 eps x) 2) (.f64 (pow.f64 eps 3) (+.f64 eps (.f64 -2 x)))) (.f64 (.f64 eps (fma.f64 2 x eps)) (/.f64 1 (fma.f64 4 (pow.f64 (.f64 eps x) 2) (.f64 (pow.f64 eps 3) (+.f64 eps (*.f64 -2 x)))))))
(.f64 1 (.f64 eps (fma.f64 2 x eps)))
(.f64 (-.f64 (.f64 4 (pow.f64 (*.f64 eps x) 2)) (pow.f64 eps 4)) (/.f64 (/.f64 1 eps) (fma.f64 2 x (neg.f64 eps))))
(.f64 (neg.f64 (fma.f64 8 (pow.f64 (.f64 eps x) 3) (pow.f64 eps 6))) (/.f64 1 (neg.f64 (fma.f64 4 (pow.f64 (.f64 eps x) 2) (.f64 (pow.f64 eps 3) (+.f64 eps (*.f64 -2 x)))))))
(.f64 (neg.f64 (-.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (pow.f64 eps 4))) (/.f64 1 (.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps))))))
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (fma.f64 2 x eps)))
(*.f64 (fma.f64 2 x eps) eps)
(.f64 (/.f64 1 (fma.f64 4 (pow.f64 (.f64 eps x) 2) (.f64 (pow.f64 eps 3) (+.f64 eps (.f64 -2 x))))) (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6)))
(.f64 (/.f64 (/.f64 1 eps) (fma.f64 2 x (neg.f64 eps))) (-.f64 (.f64 4 (pow.f64 (*.f64 eps x) 2)) (pow.f64 eps 4)))
(.f64 (/.f64 (.f64 eps (fma.f64 2 x eps)) eps) (/.f64 (*.f64 eps (fma.f64 2 x (neg.f64 eps))) (fma.f64 2 x (neg.f64 eps))))
(.f64 (+.f64 (pow.f64 eps 4) (.f64 -4 (pow.f64 (.f64 eps x) 2))) (/.f64 1 (.f64 eps (+.f64 eps (*.f64 -2 x)))))
(.f64 (/.f64 (-.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (pow.f64 eps 4)) (-.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (pow.f64 eps 4))) (.f64 eps (fma.f64 2 x eps)))
(.f64 (/.f64 (fma.f64 8 (pow.f64 (.f64 eps x) 3) (pow.f64 eps 6)) (+.f64 (pow.f64 (.f64 2 (.f64 eps x)) 6) (pow.f64 (.f64 (pow.f64 eps 3) (+.f64 eps (.f64 -2 x))) 3))) (+.f64 (pow.f64 (.f64 2 (.f64 eps x)) 4) (.f64 (.f64 (pow.f64 eps 3) (+.f64 eps (.f64 -2 x))) (+.f64 (.f64 (pow.f64 eps 3) (+.f64 eps (.f64 -2 x))) (.f64 -4 (pow.f64 (*.f64 eps x) 2))))))
(.f64 (/.f64 (fma.f64 8 (pow.f64 (.f64 eps x) 3) (pow.f64 eps 6)) (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 4) (pow.f64 (.f64 (pow.f64 eps 3) (+.f64 eps (.f64 -2 x))) 2))) (-.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 (pow.f64 eps 3) (+.f64 eps (.f64 -2 x)))))
(.f64 (/.f64 (-.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (pow.f64 eps 4)) (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 3) (pow.f64 eps 6))) (fma.f64 4 (pow.f64 (.f64 eps x) 2) (*.f64 (pow.f64 eps 3) (fma.f64 2 x eps))))
(/.f64 (.f64 eps (fma.f64 2 x eps)) (/.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (*.f64 eps (fma.f64 2 x (neg.f64 eps)))))
(/.f64 (fma.f64 8 (pow.f64 (.f64 eps x) 3) (pow.f64 eps 6)) (fma.f64 4 (pow.f64 (.f64 eps x) 2) (.f64 (pow.f64 eps 3) (+.f64 eps (.f64 -2 x)))))
(/.f64 (fma.f64 4 (pow.f64 (.f64 eps x) 2) (.f64 (pow.f64 eps 3) (+.f64 eps (.f64 -2 x)))) (/.f64 (fma.f64 4 (pow.f64 (.f64 eps x) 2) (.f64 (pow.f64 eps 3) (+.f64 eps (.f64 -2 x)))) (*.f64 eps (fma.f64 2 x eps))))
(/.f64 1 (/.f64 1 (*.f64 eps (fma.f64 2 x eps))))
(/.f64 1 (/.f64 (/.f64 1 (*.f64 eps (fma.f64 2 x eps))) 1))
(/.f64 1 (/.f64 (.f64 eps (+.f64 eps (.f64 -2 x))) (+.f64 (pow.f64 eps 4) (.f64 -4 (pow.f64 (.f64 eps x) 2)))))
(/.f64 1 (neg.f64 (neg.f64 (/.f64 1 (*.f64 eps (fma.f64 2 x eps))))))
(/.f64 (-.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (pow.f64 eps 4)) (*.f64 eps (fma.f64 2 x (neg.f64 eps))))
(/.f64 (neg.f64 (fma.f64 8 (pow.f64 (.f64 eps x) 3) (pow.f64 eps 6))) (neg.f64 (fma.f64 4 (pow.f64 (.f64 eps x) 2) (.f64 (pow.f64 eps 3) (+.f64 eps (.f64 -2 x))))))
(/.f64 (neg.f64 (fma.f64 4 (pow.f64 (.f64 eps x) 2) (.f64 (pow.f64 eps 3) (+.f64 eps (.f64 -2 x))))) (neg.f64 (/.f64 (fma.f64 4 (pow.f64 (.f64 eps x) 2) (.f64 (pow.f64 eps 3) (+.f64 eps (.f64 -2 x)))) (*.f64 eps (fma.f64 2 x eps)))))
(/.f64 (neg.f64 (-.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (pow.f64 eps 4))) (*.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 2 (.f64 eps x)) 9) (pow.f64 eps 18)) (.f64 (fma.f64 4 (pow.f64 (.f64 eps x) 2) (.f64 (pow.f64 eps 3) (+.f64 eps (.f64 -2 x)))) (+.f64 (pow.f64 (.f64 2 (.f64 eps x)) 6) (+.f64 (pow.f64 eps 12) (.f64 -8 (pow.f64 (.f64 x (pow.f64 eps 3)) 3))))))
(/.f64 (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 6) (pow.f64 eps 12)) (.f64 (fma.f64 4 (pow.f64 (.f64 eps x) 2) (.f64 (pow.f64 eps 3) (+.f64 eps (.f64 -2 x)))) (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 3) (pow.f64 eps 6))))
(/.f64 (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 6) (pow.f64 eps 12)) (.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (+.f64 (pow.f64 (.f64 2 (.f64 eps x)) 4) (+.f64 (pow.f64 eps 8) (pow.f64 (.f64 2 (.f64 x (pow.f64 eps 3))) 2)))))
(/.f64 (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 4) (pow.f64 eps 8)) (.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (fma.f64 4 (pow.f64 (*.f64 eps x) 2) (pow.f64 eps 4))))
(/.f64 (-.f64 (.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (pow.f64 eps 4))) (.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (*.f64 eps (fma.f64 2 x (neg.f64 eps)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 2 (.f64 eps x)) 9) (pow.f64 eps 18)) 1) (.f64 (+.f64 (pow.f64 (.f64 2 (.f64 eps x)) 6) (+.f64 (pow.f64 eps 12) (.f64 -8 (pow.f64 (.f64 x (pow.f64 eps 3)) 3)))) (fma.f64 4 (pow.f64 (.f64 eps x) 2) (.f64 (pow.f64 eps 3) (+.f64 eps (*.f64 -2 x))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 6) (pow.f64 eps 12)) 1) (.f64 (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 3) (pow.f64 eps 6)) (fma.f64 4 (pow.f64 (.f64 eps x) 2) (.f64 (pow.f64 eps 3) (+.f64 eps (*.f64 -2 x))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 6) (pow.f64 eps 12)) 1) (.f64 (+.f64 (pow.f64 (.f64 2 (.f64 eps x)) 4) (+.f64 (pow.f64 eps 8) (pow.f64 (.f64 2 (.f64 x (pow.f64 eps 3))) 2))) (*.f64 eps (fma.f64 2 x (neg.f64 eps)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 4) (pow.f64 eps 8)) 1) (.f64 (fma.f64 4 (pow.f64 (.f64 eps x) 2) (pow.f64 eps 4)) (.f64 eps (fma.f64 2 x (neg.f64 eps)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 2 (.f64 eps x)) 9) (pow.f64 eps 18))) (neg.f64 (.f64 (fma.f64 4 (pow.f64 (.f64 eps x) 2) (.f64 (pow.f64 eps 3) (+.f64 eps (.f64 -2 x)))) (+.f64 (pow.f64 (.f64 2 (.f64 eps x)) 6) (+.f64 (pow.f64 eps 12) (.f64 -8 (pow.f64 (.f64 x (pow.f64 eps 3)) 3)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 6) (pow.f64 eps 12))) (neg.f64 (.f64 (fma.f64 4 (pow.f64 (.f64 eps x) 2) (.f64 (pow.f64 eps 3) (+.f64 eps (.f64 -2 x)))) (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 3) (pow.f64 eps 6)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 6) (pow.f64 eps 12))) (neg.f64 (.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (+.f64 (pow.f64 (.f64 2 (.f64 eps x)) 4) (+.f64 (pow.f64 eps 8) (pow.f64 (.f64 2 (.f64 x (pow.f64 eps 3))) 2))))))
(/.f64 (neg.f64 (.f64 eps (fma.f64 2 x eps))) (neg.f64 (/.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (*.f64 eps (fma.f64 2 x (neg.f64 eps))))))
(/.f64 -1 (neg.f64 (/.f64 1 (*.f64 eps (fma.f64 2 x eps)))))
(/.f64 -1 (neg.f64 (/.f64 (/.f64 1 (*.f64 eps (fma.f64 2 x eps))) 1)))
(/.f64 -1 (neg.f64 (/.f64 (.f64 eps (+.f64 eps (.f64 -2 x))) (+.f64 (pow.f64 eps 4) (.f64 -4 (pow.f64 (.f64 eps x) 2))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 8 (pow.f64 (.f64 eps x) 3) (pow.f64 eps 6)))) (neg.f64 (neg.f64 (fma.f64 4 (pow.f64 (.f64 eps x) 2) (.f64 (pow.f64 eps 3) (+.f64 eps (.f64 -2 x)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (pow.f64 eps 4)))) (neg.f64 (*.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps 4) (.f64 -4 (pow.f64 (.f64 eps x) 2)))) (neg.f64 (.f64 eps (+.f64 eps (.f64 -2 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 4) (pow.f64 eps 8))) (neg.f64 (.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (fma.f64 4 (pow.f64 (*.f64 eps x) 2) (pow.f64 eps 4)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) 3) (pow.f64 (/.f64 (pow.f64 eps 4) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) 3)) (+.f64 (.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps))))) (+.f64 (.f64 (/.f64 (pow.f64 eps 4) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (/.f64 (pow.f64 eps 4) (.f64 eps (fma.f64 2 x (neg.f64 eps))))) (.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (/.f64 (pow.f64 eps 4) (*.f64 eps (fma.f64 2 x (neg.f64 eps))))))))
(/.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) (/.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (*.f64 eps eps)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps))))) (.f64 (/.f64 (pow.f64 eps 4) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (/.f64 (pow.f64 eps 4) (.f64 eps (fma.f64 2 x (neg.f64 eps)))))) (+.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (/.f64 (pow.f64 eps 4) (.f64 eps (fma.f64 2 x (neg.f64 eps))))))
(/.f64 (+.f64 (pow.f64 eps 4) (.f64 -4 (pow.f64 (.f64 eps x) 2))) (.f64 eps (+.f64 eps (.f64 -2 x))))
(/.f64 (-.f64 (.f64 eps (.f64 4 (.f64 x x))) (pow.f64 eps 3)) (/.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) eps))
(/.f64 (.f64 (fma.f64 8 (pow.f64 (.f64 eps x) 3) (pow.f64 eps 6)) 1) (fma.f64 4 (pow.f64 (.f64 eps x) 2) (.f64 (pow.f64 eps 3) (+.f64 eps (*.f64 -2 x)))))
(/.f64 (.f64 (-.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (pow.f64 eps 4)) 1) (.f64 eps (fma.f64 2 x (neg.f64 eps))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 2 (.f64 eps x)) 9) (pow.f64 eps 18)) (/.f64 1 (fma.f64 4 (pow.f64 (.f64 eps x) 2) (.f64 (pow.f64 eps 3) (+.f64 eps (.f64 -2 x)))))) (+.f64 (pow.f64 (.f64 2 (.f64 eps x)) 6) (+.f64 (pow.f64 eps 12) (.f64 -8 (pow.f64 (.f64 x (pow.f64 eps 3)) 3)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 6) (pow.f64 eps 12)) (/.f64 1 (fma.f64 4 (pow.f64 (.f64 eps x) 2) (.f64 (pow.f64 eps 3) (+.f64 eps (.f64 -2 x)))))) (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 3) (pow.f64 eps 6)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 6) (pow.f64 eps 12)) (/.f64 (/.f64 1 eps) (fma.f64 2 x (neg.f64 eps)))) (+.f64 (pow.f64 (.f64 2 (.f64 eps x)) 4) (+.f64 (pow.f64 eps 8) (pow.f64 (.f64 2 (*.f64 x (pow.f64 eps 3))) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 4) (pow.f64 eps 8)) (/.f64 (/.f64 1 eps) (fma.f64 2 x (neg.f64 eps)))) (fma.f64 4 (pow.f64 (.f64 eps x) 2) (pow.f64 eps 4)))
(/.f64 (/.f64 (-.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (pow.f64 eps 4)) eps) (fma.f64 2 x (neg.f64 eps)))
(/.f64 (-.f64 (neg.f64 (.f64 4 (pow.f64 (.f64 eps x) 2))) (neg.f64 (pow.f64 eps 4))) (*.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps)))))
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(/.f64 (-.f64 (.f64 (.f64 (.f64 eps x) 4) (/.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (.f64 eps eps))) (.f64 (/.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (.f64 eps x)) (.f64 eps eps))) (.f64 (/.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (.f64 eps x)) (/.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (.f64 eps eps))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps x) 4) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (.f64 (/.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (.f64 eps x)) (pow.f64 eps 4))) (.f64 (/.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (.f64 eps x)) (*.f64 eps (fma.f64 2 x (neg.f64 eps)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps x) 4) (/.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (pow.f64 eps 4))) (.f64 (/.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (.f64 eps x)) 1)) (.f64 (/.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (.f64 eps x)) (/.f64 (*.f64 eps (fma.f64 2 x (neg.f64 eps))) (pow.f64 eps 4))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps x) 4) (/.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) eps)) (.f64 (/.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (.f64 eps x)) (pow.f64 eps 3))) (.f64 (/.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (.f64 eps x)) (/.f64 (*.f64 eps (fma.f64 2 x (neg.f64 eps))) eps)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps x) 4) (.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps))))) (.f64 (/.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (.f64 eps x)) (neg.f64 (pow.f64 eps 4)))) (.f64 (/.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (.f64 eps x)) (*.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps x) 4) (fma.f64 2 x (neg.f64 eps))) (.f64 (/.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (.f64 eps x)) (/.f64 (pow.f64 eps 4) eps))) (.f64 (/.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (*.f64 eps x)) (fma.f64 2 x (neg.f64 eps))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 4 (pow.f64 (.f64 eps x) 2))) (/.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (pow.f64 eps 3))) (.f64 (.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps)))) eps)) (.f64 (.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps)))) (/.f64 (*.f64 eps (fma.f64 2 x (neg.f64 eps))) (pow.f64 eps 3))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 4 (pow.f64 (.f64 eps x) 2))) (/.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (.f64 eps eps))) (.f64 (.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps)))) (.f64 eps eps))) (.f64 (.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps)))) (/.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (.f64 eps eps))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 4 (pow.f64 (.f64 eps x) 2))) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (.f64 (.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps)))) (pow.f64 eps 4))) (.f64 (.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps)))) (*.f64 eps (fma.f64 2 x (neg.f64 eps)))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 4 (pow.f64 (.f64 eps x) 2))) (/.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (pow.f64 eps 4))) (.f64 (.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps)))) 1)) (.f64 (.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps)))) (/.f64 (*.f64 eps (fma.f64 2 x (neg.f64 eps))) (pow.f64 eps 4))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 4 (pow.f64 (.f64 eps x) 2))) (/.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) eps)) (.f64 (.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps)))) (pow.f64 eps 3))) (.f64 (.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps)))) (/.f64 (*.f64 eps (fma.f64 2 x (neg.f64 eps))) eps)))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 4 (pow.f64 (.f64 eps x) 2))) (.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps))))) (.f64 (.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps)))) (neg.f64 (pow.f64 eps 4)))) (.f64 (.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps)))) (*.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps))))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 4 (pow.f64 (.f64 eps x) 2))) (fma.f64 2 x (neg.f64 eps))) (.f64 (.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps)))) (/.f64 (pow.f64 eps 4) eps))) (.f64 (*.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps)))) (fma.f64 2 x (neg.f64 eps))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) eps) (/.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (pow.f64 eps 3))) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (.f64 (fma.f64 2 x (neg.f64 eps)) (/.f64 (*.f64 eps (fma.f64 2 x (neg.f64 eps))) (pow.f64 eps 3))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) eps) (/.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (.f64 eps eps))) (.f64 (fma.f64 2 x (neg.f64 eps)) (.f64 eps eps))) (.f64 (fma.f64 2 x (neg.f64 eps)) (/.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (.f64 eps eps))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) eps) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (.f64 (fma.f64 2 x (neg.f64 eps)) (pow.f64 eps 4))) (.f64 (fma.f64 2 x (neg.f64 eps)) (*.f64 eps (fma.f64 2 x (neg.f64 eps)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) eps) (/.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (pow.f64 eps 4))) (.f64 (fma.f64 2 x (neg.f64 eps)) 1)) (.f64 (fma.f64 2 x (neg.f64 eps)) (/.f64 (*.f64 eps (fma.f64 2 x (neg.f64 eps))) (pow.f64 eps 4))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) eps) (/.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) eps)) (.f64 (fma.f64 2 x (neg.f64 eps)) (pow.f64 eps 3))) (.f64 (fma.f64 2 x (neg.f64 eps)) (/.f64 (*.f64 eps (fma.f64 2 x (neg.f64 eps))) eps)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) eps) (.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps))))) (.f64 (fma.f64 2 x (neg.f64 eps)) (neg.f64 (pow.f64 eps 4)))) (.f64 (fma.f64 2 x (neg.f64 eps)) (*.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) eps) (fma.f64 2 x (neg.f64 eps))) (.f64 (fma.f64 2 x (neg.f64 eps)) (/.f64 (pow.f64 eps 4) eps))) (*.f64 (fma.f64 2 x (neg.f64 eps)) (fma.f64 2 x (neg.f64 eps))))
(/.f64 (-.f64 (.f64 (pow.f64 eps 4) (.f64 eps (+.f64 eps (.f64 -2 x)))) (.f64 (.f64 eps (+.f64 eps (.f64 -2 x))) (.f64 4 (pow.f64 (.f64 eps x) 2)))) (.f64 (.f64 eps (+.f64 eps (.f64 -2 x))) (.f64 eps (+.f64 eps (*.f64 -2 x)))))
(/.f64 (neg.f64 (/.f64 (-.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (pow.f64 eps 4)) eps)) (neg.f64 (fma.f64 2 x (neg.f64 eps))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (pow.f64 eps 4)))) (neg.f64 (.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (*.f64 eps (fma.f64 2 x (neg.f64 eps))))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (.f64 2 (.f64 eps x)) 9) (pow.f64 eps 18)) 1)) (neg.f64 (.f64 (+.f64 (pow.f64 (.f64 2 (.f64 eps x)) 6) (+.f64 (pow.f64 eps 12) (.f64 -8 (pow.f64 (.f64 x (pow.f64 eps 3)) 3)))) (fma.f64 4 (pow.f64 (.f64 eps x) 2) (.f64 (pow.f64 eps 3) (+.f64 eps (*.f64 -2 x)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 6) (pow.f64 eps 12)) 1)) (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 3) (pow.f64 eps 6)) (fma.f64 4 (pow.f64 (.f64 eps x) 2) (.f64 (pow.f64 eps 3) (+.f64 eps (*.f64 -2 x)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 6) (pow.f64 eps 12)) 1)) (neg.f64 (.f64 (+.f64 (pow.f64 (.f64 2 (.f64 eps x)) 4) (+.f64 (pow.f64 eps 8) (pow.f64 (.f64 2 (.f64 x (pow.f64 eps 3))) 2))) (*.f64 eps (fma.f64 2 x (neg.f64 eps))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 4) (pow.f64 eps 8)) 1)) (neg.f64 (.f64 (fma.f64 4 (pow.f64 (.f64 eps x) 2) (pow.f64 eps 4)) (.f64 eps (fma.f64 2 x (neg.f64 eps))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 8 (pow.f64 (.f64 eps x) 3) (pow.f64 eps 6))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 4 (pow.f64 (.f64 eps x) 2) (.f64 (pow.f64 eps 3) (+.f64 eps (.f64 -2 x))))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (pow.f64 eps 4))))) (neg.f64 (neg.f64 (*.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 eps 4) (.f64 -4 (pow.f64 (.f64 eps x) 2))))) (neg.f64 (neg.f64 (.f64 eps (+.f64 eps (.f64 -2 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) 3) (pow.f64 (/.f64 (pow.f64 eps 4) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) 3))) (neg.f64 (+.f64 (.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps))))) (+.f64 (.f64 (/.f64 (pow.f64 eps 4) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (/.f64 (pow.f64 eps 4) (.f64 eps (fma.f64 2 x (neg.f64 eps))))) (.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (/.f64 (pow.f64 eps 4) (*.f64 eps (fma.f64 2 x (neg.f64 eps)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps))))) (.f64 (/.f64 (pow.f64 eps 4) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (/.f64 (pow.f64 eps 4) (.f64 eps (fma.f64 2 x (neg.f64 eps))))))) (neg.f64 (+.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (/.f64 (pow.f64 eps 4) (.f64 eps (fma.f64 2 x (neg.f64 eps)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 8 (pow.f64 (.f64 eps x) 3) (pow.f64 eps 6)) 1)) (neg.f64 (fma.f64 4 (pow.f64 (.f64 eps x) 2) (.f64 (pow.f64 eps 3) (+.f64 eps (*.f64 -2 x))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (pow.f64 eps 4)) 1)) (.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps)))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (.f64 2 (.f64 eps x)) 9) (pow.f64 eps 18)) (/.f64 1 (fma.f64 4 (pow.f64 (.f64 eps x) 2) (.f64 (pow.f64 eps 3) (+.f64 eps (.f64 -2 x))))))) (neg.f64 (+.f64 (pow.f64 (.f64 2 (.f64 eps x)) 6) (+.f64 (pow.f64 eps 12) (.f64 -8 (pow.f64 (.f64 x (pow.f64 eps 3)) 3))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 6) (pow.f64 eps 12)) (/.f64 1 (fma.f64 4 (pow.f64 (.f64 eps x) 2) (.f64 (pow.f64 eps 3) (+.f64 eps (.f64 -2 x))))))) (neg.f64 (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 3) (pow.f64 eps 6))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 6) (pow.f64 eps 12)) (/.f64 (/.f64 1 eps) (fma.f64 2 x (neg.f64 eps))))) (neg.f64 (+.f64 (pow.f64 (.f64 2 (.f64 eps x)) 4) (+.f64 (pow.f64 eps 8) (pow.f64 (.f64 2 (*.f64 x (pow.f64 eps 3))) 2)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 4) (pow.f64 eps 8)) (/.f64 (/.f64 1 eps) (fma.f64 2 x (neg.f64 eps))))) (neg.f64 (fma.f64 4 (pow.f64 (.f64 eps x) 2) (pow.f64 eps 4))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) 3) (pow.f64 (neg.f64 (/.f64 (pow.f64 eps 4) (.f64 eps (fma.f64 2 x (neg.f64 eps))))) 3)) (+.f64 (.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps))))) (-.f64 (.f64 (neg.f64 (/.f64 (pow.f64 eps 4) (.f64 eps (fma.f64 2 x (neg.f64 eps))))) (neg.f64 (/.f64 (pow.f64 eps 4) (.f64 eps (fma.f64 2 x (neg.f64 eps)))))) (.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (neg.f64 (/.f64 (pow.f64 eps 4) (*.f64 eps (fma.f64 2 x (neg.f64 eps)))))))))
(/.f64 (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 3) (pow.f64 (.f64 eps (neg.f64 eps)) 3)) (+.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (+.f64 (.f64 (.f64 eps (neg.f64 eps)) (.f64 eps (neg.f64 eps))) (.f64 -2 (.f64 x (pow.f64 eps 3))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 eps 4) (.f64 eps (+.f64 eps (.f64 -2 x)))) 3) (pow.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (+.f64 eps (.f64 -2 x)))) 3)) (+.f64 (.f64 (/.f64 (pow.f64 eps 4) (.f64 eps (+.f64 eps (.f64 -2 x)))) (/.f64 (pow.f64 eps 4) (.f64 eps (+.f64 eps (.f64 -2 x))))) (+.f64 (.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (+.f64 eps (.f64 -2 x)))) (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (+.f64 eps (.f64 -2 x))))) (.f64 (/.f64 (pow.f64 eps 4) (.f64 eps (+.f64 eps (.f64 -2 x)))) (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (+.f64 eps (*.f64 -2 x))))))))
(pow.f64 (/.f64 1 (*.f64 eps (fma.f64 2 x eps))) -1)
(neg.f64 (/.f64 (fma.f64 8 (pow.f64 (.f64 eps x) 3) (pow.f64 eps 6)) (neg.f64 (fma.f64 4 (pow.f64 (.f64 eps x) 2) (.f64 (pow.f64 eps 3) (+.f64 eps (.f64 -2 x)))))))
(neg.f64 (/.f64 (-.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (pow.f64 eps 4)) (*.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps))))))

Calls

3 calls:

1.0ms	(fma.f64 2 (.f64 eps x) (.f64 eps eps))
0.0ms	(fma.f64 2 (.f64 eps x) (.f64 eps eps))
0.0ms	(fma.f64 2 (.f64 eps x) (.f64 eps eps))

simplify255.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

862×	`fma-def`
812×	`*-commutative`
774×	`distribute-lft-neg-in`
762×	`div-sub`
726×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	998	27738
1	4159	26446

Stop Event

1×	node limit

Counts

260 → 560

Calls

Call 1

Inputs
(.f64 2 (.f64 eps x))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(pow.f64 eps 2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(pow.f64 eps 2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(pow.f64 eps 2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(.f64 2 (.f64 eps x))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(.f64 2 (.f64 eps x))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 (neg.f64 eps) (neg.f64 eps)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 (neg.f64 (neg.f64 eps)) eps))
(+.f64 (.f64 2 (.f64 eps x)) (.f64 1 (.f64 eps eps)))
(+.f64 (.f64 2 (.f64 eps x)) (.f64 (neg.f64 (.f64 (neg.f64 eps) (sqrt.f64 eps))) (sqrt.f64 eps)))
(+.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (neg.f64 (/.f64 (pow.f64 eps 4) (.f64 eps (fma.f64 2 x (neg.f64 eps))))))
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(/.f64 (-.f64 (.f64 (neg.f64 (.f64 4 (pow.f64 (.f64 eps x) 2))) (/.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (.f64 eps eps))) (.f64 (.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps)))) (.f64 eps eps))) (.f64 (.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps)))) (/.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (.f64 eps eps))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 4 (pow.f64 (.f64 eps x) 2))) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (.f64 (.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps)))) (pow.f64 eps 4))) (.f64 (.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps)))) (*.f64 eps (fma.f64 2 x (neg.f64 eps)))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 4 (pow.f64 (.f64 eps x) 2))) (/.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (pow.f64 eps 4))) (.f64 (.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps)))) 1)) (.f64 (.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps)))) (/.f64 (*.f64 eps (fma.f64 2 x (neg.f64 eps))) (pow.f64 eps 4))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 4 (pow.f64 (.f64 eps x) 2))) (/.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) eps)) (.f64 (.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps)))) (pow.f64 eps 3))) (.f64 (.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps)))) (/.f64 (*.f64 eps (fma.f64 2 x (neg.f64 eps))) eps)))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 4 (pow.f64 (.f64 eps x) 2))) (.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps))))) (.f64 (.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps)))) (neg.f64 (pow.f64 eps 4)))) (.f64 (.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps)))) (*.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps))))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 4 (pow.f64 (.f64 eps x) 2))) (fma.f64 2 x (neg.f64 eps))) (.f64 (.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps)))) (/.f64 (pow.f64 eps 4) eps))) (.f64 (*.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps)))) (fma.f64 2 x (neg.f64 eps))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) eps) (/.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (pow.f64 eps 3))) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (.f64 (fma.f64 2 x (neg.f64 eps)) (/.f64 (*.f64 eps (fma.f64 2 x (neg.f64 eps))) (pow.f64 eps 3))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) eps) (/.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (.f64 eps eps))) (.f64 (fma.f64 2 x (neg.f64 eps)) (.f64 eps eps))) (.f64 (fma.f64 2 x (neg.f64 eps)) (/.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (.f64 eps eps))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) eps) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (.f64 (fma.f64 2 x (neg.f64 eps)) (pow.f64 eps 4))) (.f64 (fma.f64 2 x (neg.f64 eps)) (*.f64 eps (fma.f64 2 x (neg.f64 eps)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) eps) (/.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (pow.f64 eps 4))) (.f64 (fma.f64 2 x (neg.f64 eps)) 1)) (.f64 (fma.f64 2 x (neg.f64 eps)) (/.f64 (*.f64 eps (fma.f64 2 x (neg.f64 eps))) (pow.f64 eps 4))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) eps) (/.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) eps)) (.f64 (fma.f64 2 x (neg.f64 eps)) (pow.f64 eps 3))) (.f64 (fma.f64 2 x (neg.f64 eps)) (/.f64 (*.f64 eps (fma.f64 2 x (neg.f64 eps))) eps)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) eps) (.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps))))) (.f64 (fma.f64 2 x (neg.f64 eps)) (neg.f64 (pow.f64 eps 4)))) (.f64 (fma.f64 2 x (neg.f64 eps)) (*.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) eps) (fma.f64 2 x (neg.f64 eps))) (.f64 (fma.f64 2 x (neg.f64 eps)) (/.f64 (pow.f64 eps 4) eps))) (*.f64 (fma.f64 2 x (neg.f64 eps)) (fma.f64 2 x (neg.f64 eps))))
(/.f64 (-.f64 (.f64 (pow.f64 eps 4) (.f64 eps (+.f64 eps (.f64 -2 x)))) (.f64 (.f64 eps (+.f64 eps (.f64 -2 x))) (.f64 4 (pow.f64 (.f64 eps x) 2)))) (.f64 (.f64 eps (+.f64 eps (.f64 -2 x))) (.f64 eps (+.f64 eps (*.f64 -2 x)))))
(/.f64 (neg.f64 (/.f64 (-.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (pow.f64 eps 4)) eps)) (neg.f64 (fma.f64 2 x (neg.f64 eps))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (pow.f64 eps 4)))) (neg.f64 (.f64 (.f64 eps (fma.f64 2 x (neg.f64 eps))) (*.f64 eps (fma.f64 2 x (neg.f64 eps))))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (.f64 2 (.f64 eps x)) 9) (pow.f64 eps 18)) 1)) (neg.f64 (.f64 (+.f64 (pow.f64 (.f64 2 (.f64 eps x)) 6) (+.f64 (pow.f64 eps 12) (.f64 -8 (pow.f64 (.f64 x (pow.f64 eps 3)) 3)))) (fma.f64 4 (pow.f64 (.f64 eps x) 2) (.f64 (pow.f64 eps 3) (+.f64 eps (*.f64 -2 x)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 6) (pow.f64 eps 12)) 1)) (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 3) (pow.f64 eps 6)) (fma.f64 4 (pow.f64 (.f64 eps x) 2) (.f64 (pow.f64 eps 3) (+.f64 eps (*.f64 -2 x)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 6) (pow.f64 eps 12)) 1)) (neg.f64 (.f64 (+.f64 (pow.f64 (.f64 2 (.f64 eps x)) 4) (+.f64 (pow.f64 eps 8) (pow.f64 (.f64 2 (.f64 x (pow.f64 eps 3))) 2))) (*.f64 eps (fma.f64 2 x (neg.f64 eps))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 4) (pow.f64 eps 8)) 1)) (neg.f64 (.f64 (fma.f64 4 (pow.f64 (.f64 eps x) 2) (pow.f64 eps 4)) (.f64 eps (fma.f64 2 x (neg.f64 eps))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 8 (pow.f64 (.f64 eps x) 3) (pow.f64 eps 6))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 4 (pow.f64 (.f64 eps x) 2) (.f64 (pow.f64 eps 3) (+.f64 eps (.f64 -2 x))))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (pow.f64 eps 4))))) (neg.f64 (neg.f64 (*.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 eps 4) (.f64 -4 (pow.f64 (.f64 eps x) 2))))) (neg.f64 (neg.f64 (.f64 eps (+.f64 eps (.f64 -2 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) 3) (pow.f64 (/.f64 (pow.f64 eps 4) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) 3))) (neg.f64 (+.f64 (.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps))))) (+.f64 (.f64 (/.f64 (pow.f64 eps 4) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (/.f64 (pow.f64 eps 4) (.f64 eps (fma.f64 2 x (neg.f64 eps))))) (.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (/.f64 (pow.f64 eps 4) (*.f64 eps (fma.f64 2 x (neg.f64 eps)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps))))) (.f64 (/.f64 (pow.f64 eps 4) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (/.f64 (pow.f64 eps 4) (.f64 eps (fma.f64 2 x (neg.f64 eps))))))) (neg.f64 (+.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (/.f64 (pow.f64 eps 4) (.f64 eps (fma.f64 2 x (neg.f64 eps)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 8 (pow.f64 (.f64 eps x) 3) (pow.f64 eps 6)) 1)) (neg.f64 (fma.f64 4 (pow.f64 (.f64 eps x) 2) (.f64 (pow.f64 eps 3) (+.f64 eps (*.f64 -2 x))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (pow.f64 eps 4)) 1)) (.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps)))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (.f64 2 (.f64 eps x)) 9) (pow.f64 eps 18)) (/.f64 1 (fma.f64 4 (pow.f64 (.f64 eps x) 2) (.f64 (pow.f64 eps 3) (+.f64 eps (.f64 -2 x))))))) (neg.f64 (+.f64 (pow.f64 (.f64 2 (.f64 eps x)) 6) (+.f64 (pow.f64 eps 12) (.f64 -8 (pow.f64 (.f64 x (pow.f64 eps 3)) 3))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 6) (pow.f64 eps 12)) (/.f64 1 (fma.f64 4 (pow.f64 (.f64 eps x) 2) (.f64 (pow.f64 eps 3) (+.f64 eps (.f64 -2 x))))))) (neg.f64 (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 3) (pow.f64 eps 6))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 6) (pow.f64 eps 12)) (/.f64 (/.f64 1 eps) (fma.f64 2 x (neg.f64 eps))))) (neg.f64 (+.f64 (pow.f64 (.f64 2 (.f64 eps x)) 4) (+.f64 (pow.f64 eps 8) (pow.f64 (.f64 2 (*.f64 x (pow.f64 eps 3))) 2)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 4) (pow.f64 eps 8)) (/.f64 (/.f64 1 eps) (fma.f64 2 x (neg.f64 eps))))) (neg.f64 (fma.f64 4 (pow.f64 (.f64 eps x) 2) (pow.f64 eps 4))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) 3) (pow.f64 (neg.f64 (/.f64 (pow.f64 eps 4) (.f64 eps (fma.f64 2 x (neg.f64 eps))))) 3)) (+.f64 (.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps))))) (-.f64 (.f64 (neg.f64 (/.f64 (pow.f64 eps 4) (.f64 eps (fma.f64 2 x (neg.f64 eps))))) (neg.f64 (/.f64 (pow.f64 eps 4) (.f64 eps (fma.f64 2 x (neg.f64 eps)))))) (.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (neg.f64 (/.f64 (pow.f64 eps 4) (*.f64 eps (fma.f64 2 x (neg.f64 eps)))))))))
(/.f64 (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 3) (pow.f64 (.f64 eps (neg.f64 eps)) 3)) (+.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (+.f64 (.f64 (.f64 eps (neg.f64 eps)) (.f64 eps (neg.f64 eps))) (.f64 -2 (.f64 x (pow.f64 eps 3))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 eps 4) (.f64 eps (+.f64 eps (.f64 -2 x)))) 3) (pow.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (+.f64 eps (.f64 -2 x)))) 3)) (+.f64 (.f64 (/.f64 (pow.f64 eps 4) (.f64 eps (+.f64 eps (.f64 -2 x)))) (/.f64 (pow.f64 eps 4) (.f64 eps (+.f64 eps (.f64 -2 x))))) (+.f64 (.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (+.f64 eps (.f64 -2 x)))) (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (+.f64 eps (.f64 -2 x))))) (.f64 (/.f64 (pow.f64 eps 4) (.f64 eps (+.f64 eps (.f64 -2 x)))) (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (+.f64 eps (*.f64 -2 x))))))))
(pow.f64 (/.f64 1 (*.f64 eps (fma.f64 2 x eps))) -1)
(neg.f64 (/.f64 (fma.f64 8 (pow.f64 (.f64 eps x) 3) (pow.f64 eps 6)) (neg.f64 (fma.f64 4 (pow.f64 (.f64 eps x) 2) (.f64 (pow.f64 eps 3) (+.f64 eps (.f64 -2 x)))))))
(neg.f64 (/.f64 (-.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (pow.f64 eps 4)) (*.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps))))))
(exp.f64 (log.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps))))
(log.f64 (exp.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps))))
(.f64 (sqrt.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps))) (sqrt.f64 (fma.f64 2 (.f64 eps x) (*.f64 eps eps))))
(.f64 1 (fma.f64 2 (.f64 eps x) (*.f64 eps eps)))
(pow.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps)) 1)
(.f64 (.f64 (cbrt.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps))) (cbrt.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps)))) (cbrt.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps))))
(cbrt.f64 (.f64 (.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps)) (fma.f64 2 (.f64 eps x) (.f64 eps eps))) (fma.f64 2 (.f64 eps x) (.f64 eps eps))))
(log1p.f64 (expm1.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps))))
(expm1.f64 (log1p.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps))))
(binary32->binary64 (binary64->binary32 (fma.f64 2 (.f64 eps x) (.f64 eps eps))))
(binary32->binary64 (binary64->binary32 (fma.f64 2 (.f64 eps x) (.f64 eps eps))))
(binary32->binary64 (fma.f32 2 (.f32 (binary64->binary32 eps) (binary64->binary32 x)) (.f32 (binary64->binary32 eps) (binary64->binary32 eps))))
(binary32->binary64 (binary64->binary32 (fma.f64 2 (.f64 eps x) (.f64 eps eps))))
(binary32->binary64 (binary64->binary32 (fma.f64 2 (.f64 eps x) (.f64 eps eps))))
(binary32->binary64 (fma.f32 2 (.f32 (binary64->binary32 eps) (binary64->binary32 x)) (.f32 (binary64->binary32 eps) (binary64->binary32 eps))))

Outputs
(.f64 2 (.f64 eps x))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(.f64 2 (.f64 eps x))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(.f64 2 (.f64 eps x))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 (neg.f64 eps) (neg.f64 eps)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 (neg.f64 (neg.f64 eps)) eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (.f64 1 (.f64 eps eps)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (.f64 (neg.f64 (.f64 (neg.f64 eps) (sqrt.f64 eps))) (sqrt.f64 eps)))
(fma.f64 2 (.f64 eps x) (.f64 (sqrt.f64 eps) (*.f64 eps (sqrt.f64 eps))))
(fma.f64 (sqrt.f64 eps) (.f64 eps (sqrt.f64 eps)) (.f64 2 (*.f64 eps x)))
(+.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (neg.f64 (/.f64 (pow.f64 eps 4) (.f64 eps (fma.f64 2 x (neg.f64 eps))))))
(/.f64 (-.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (pow.f64 eps 4)) (*.f64 eps (fma.f64 2 x (neg.f64 eps))))
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(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 6) (pow.f64 eps 12)) (/.f64 (/.f64 1 eps) (fma.f64 2 x (neg.f64 eps))))) (neg.f64 (+.f64 (pow.f64 (.f64 2 (.f64 eps x)) 4) (+.f64 (pow.f64 eps 8) (pow.f64 (.f64 2 (*.f64 x (pow.f64 eps 3))) 2)))))
(/.f64 (neg.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 6) (pow.f64 eps 12)) (/.f64 1 eps)) (fma.f64 2 x (neg.f64 eps)))) (neg.f64 (+.f64 (pow.f64 (.f64 2 (.f64 eps x)) 4) (+.f64 (pow.f64 eps 8) (pow.f64 (.f64 2 (*.f64 x (pow.f64 eps 3))) 2)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 6) (pow.f64 eps 12)) (/.f64 -1 (.f64 eps (-.f64 (.f64 2 x) eps)))) (-.f64 (neg.f64 (pow.f64 (.f64 2 (.f64 eps x)) 4)) (+.f64 (pow.f64 eps 8) (pow.f64 (.f64 2 (*.f64 x (pow.f64 eps 3))) 2))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 4) (pow.f64 eps 8)) (/.f64 (/.f64 1 eps) (fma.f64 2 x (neg.f64 eps))))) (neg.f64 (fma.f64 4 (pow.f64 (.f64 eps x) 2) (pow.f64 eps 4))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 4) (pow.f64 eps 8))) (/.f64 1 (.f64 eps (fma.f64 2 x (neg.f64 eps))))) (neg.f64 (fma.f64 4 (pow.f64 (*.f64 eps x) 2) (pow.f64 eps 4))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 4) (pow.f64 eps 8)) (/.f64 -1 (.f64 eps (-.f64 (.f64 2 x) eps)))) (neg.f64 (fma.f64 4 (pow.f64 (.f64 eps x) 2) (pow.f64 eps 4))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) 3) (pow.f64 (neg.f64 (/.f64 (pow.f64 eps 4) (.f64 eps (fma.f64 2 x (neg.f64 eps))))) 3)) (+.f64 (.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps))))) (-.f64 (.f64 (neg.f64 (/.f64 (pow.f64 eps 4) (.f64 eps (fma.f64 2 x (neg.f64 eps))))) (neg.f64 (/.f64 (pow.f64 eps 4) (.f64 eps (fma.f64 2 x (neg.f64 eps)))))) (.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (fma.f64 2 x (neg.f64 eps)))) (neg.f64 (/.f64 (pow.f64 eps 4) (*.f64 eps (fma.f64 2 x (neg.f64 eps)))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 4 eps) (/.f64 (pow.f64 (.f64 eps x) 2) (fma.f64 2 x (neg.f64 eps)))) 3) (pow.f64 (/.f64 (/.f64 (pow.f64 eps 4) eps) (fma.f64 2 x (neg.f64 eps))) 3)) (fma.f64 (.f64 (/.f64 4 eps) (/.f64 (pow.f64 (.f64 eps x) 2) (fma.f64 2 x (neg.f64 eps)))) (.f64 (/.f64 4 eps) (/.f64 (pow.f64 (.f64 eps x) 2) (fma.f64 2 x (neg.f64 eps)))) (.f64 (/.f64 (/.f64 (pow.f64 eps 4) eps) (fma.f64 2 x (neg.f64 eps))) (+.f64 (.f64 (/.f64 4 eps) (/.f64 (pow.f64 (*.f64 eps x) 2) (fma.f64 2 x (neg.f64 eps)))) (/.f64 (/.f64 (pow.f64 eps 4) eps) (fma.f64 2 x (neg.f64 eps)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 4 eps) (/.f64 (pow.f64 (.f64 eps x) 2) (-.f64 (.f64 2 x) eps))) 3) (pow.f64 (/.f64 (/.f64 (pow.f64 eps 4) eps) (-.f64 (.f64 2 x) eps)) 3)) (fma.f64 (.f64 (/.f64 4 eps) (/.f64 (pow.f64 (.f64 eps x) 2) (-.f64 (.f64 2 x) eps))) (.f64 (/.f64 4 eps) (/.f64 (pow.f64 (.f64 eps x) 2) (-.f64 (.f64 2 x) eps))) (.f64 (/.f64 (/.f64 (pow.f64 eps 4) eps) (-.f64 (.f64 2 x) eps)) (fma.f64 (/.f64 4 eps) (/.f64 (pow.f64 (.f64 eps x) 2) (-.f64 (.f64 2 x) eps)) (/.f64 (/.f64 (pow.f64 eps 4) eps) (-.f64 (*.f64 2 x) eps))))))
(/.f64 (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 3) (pow.f64 (.f64 eps (neg.f64 eps)) 3)) (+.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (+.f64 (.f64 (.f64 eps (neg.f64 eps)) (.f64 eps (neg.f64 eps))) (.f64 -2 (.f64 x (pow.f64 eps 3))))))
(/.f64 (fma.f64 8 (pow.f64 (.f64 eps x) 3) (pow.f64 eps 6)) (fma.f64 4 (pow.f64 (.f64 eps x) 2) (.f64 (pow.f64 eps 3) (+.f64 eps (.f64 x -2)))))
(/.f64 (fma.f64 8 (pow.f64 (.f64 eps x) 3) (pow.f64 eps 6)) (fma.f64 4 (pow.f64 (.f64 eps x) 2) (*.f64 (pow.f64 eps 3) (fma.f64 x -2 eps))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 eps 4) (.f64 eps (+.f64 eps (.f64 -2 x)))) 3) (pow.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (+.f64 eps (.f64 -2 x)))) 3)) (+.f64 (.f64 (/.f64 (pow.f64 eps 4) (.f64 eps (+.f64 eps (.f64 -2 x)))) (/.f64 (pow.f64 eps 4) (.f64 eps (+.f64 eps (.f64 -2 x))))) (+.f64 (.f64 (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (+.f64 eps (.f64 -2 x)))) (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (+.f64 eps (.f64 -2 x))))) (.f64 (/.f64 (pow.f64 eps 4) (.f64 eps (+.f64 eps (.f64 -2 x)))) (/.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 eps (+.f64 eps (*.f64 -2 x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 eps 4) eps) (+.f64 eps (.f64 x -2))) 3) (pow.f64 (.f64 (/.f64 4 eps) (/.f64 (pow.f64 (.f64 eps x) 2) (+.f64 eps (.f64 x -2)))) 3)) (fma.f64 (/.f64 (/.f64 (pow.f64 eps 4) eps) (+.f64 eps (.f64 x -2))) (/.f64 (/.f64 (pow.f64 eps 4) eps) (+.f64 eps (.f64 x -2))) (.f64 (.f64 (/.f64 4 eps) (/.f64 (pow.f64 (.f64 eps x) 2) (+.f64 eps (.f64 x -2)))) (+.f64 (.f64 (/.f64 4 eps) (/.f64 (pow.f64 (.f64 eps x) 2) (+.f64 eps (.f64 x -2)))) (/.f64 (/.f64 (pow.f64 eps 4) eps) (+.f64 eps (.f64 x -2)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 eps 4) (.f64 eps (fma.f64 x -2 eps))) 3) (pow.f64 (/.f64 4 (/.f64 (.f64 eps (fma.f64 x -2 eps)) (pow.f64 (.f64 eps x) 2))) 3)) (fma.f64 (/.f64 4 (/.f64 (.f64 eps (fma.f64 x -2 eps)) (pow.f64 (.f64 eps x) 2))) (fma.f64 (/.f64 4 eps) (/.f64 (pow.f64 (.f64 eps x) 2) (fma.f64 x -2 eps)) (/.f64 (pow.f64 eps 4) (.f64 eps (fma.f64 x -2 eps)))) (.f64 (/.f64 (pow.f64 eps 4) (.f64 eps (fma.f64 x -2 eps))) (/.f64 (pow.f64 eps 4) (.f64 eps (fma.f64 x -2 eps))))))
(pow.f64 (/.f64 1 (*.f64 eps (fma.f64 2 x eps))) -1)
(*.f64 eps (fma.f64 2 x eps))
(neg.f64 (/.f64 (fma.f64 8 (pow.f64 (.f64 eps x) 3) (pow.f64 eps 6)) (neg.f64 (fma.f64 4 (pow.f64 (.f64 eps x) 2) (.f64 (pow.f64 eps 3) (+.f64 eps (.f64 -2 x)))))))
(/.f64 (neg.f64 (fma.f64 8 (pow.f64 (.f64 eps x) 3) (pow.f64 eps 6))) (neg.f64 (fma.f64 4 (pow.f64 (.f64 eps x) 2) (.f64 (pow.f64 eps 3) (+.f64 eps (.f64 x -2))))))
(/.f64 (neg.f64 (fma.f64 8 (pow.f64 (.f64 eps x) 3) (pow.f64 eps 6))) (neg.f64 (fma.f64 4 (pow.f64 (.f64 eps x) 2) (*.f64 (pow.f64 eps 3) (fma.f64 x -2 eps)))))
(neg.f64 (/.f64 (-.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (pow.f64 eps 4)) (*.f64 eps (neg.f64 (fma.f64 2 x (neg.f64 eps))))))
(/.f64 (/.f64 (neg.f64 (-.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (pow.f64 eps 4))) eps) (neg.f64 (fma.f64 2 x (neg.f64 eps))))
(/.f64 (fma.f64 (pow.f64 (.f64 eps x) 2) -4 (pow.f64 eps 4)) (.f64 (neg.f64 eps) (-.f64 (*.f64 2 x) eps)))
(exp.f64 (log.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps))))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(log.f64 (exp.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps))))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(.f64 (sqrt.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps))) (sqrt.f64 (fma.f64 2 (.f64 eps x) (*.f64 eps eps))))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(.f64 1 (fma.f64 2 (.f64 eps x) (*.f64 eps eps)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(pow.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps)) 1)
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(.f64 (.f64 (cbrt.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps))) (cbrt.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps)))) (cbrt.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps))))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(cbrt.f64 (.f64 (.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps)) (fma.f64 2 (.f64 eps x) (.f64 eps eps))) (fma.f64 2 (.f64 eps x) (.f64 eps eps))))
(cbrt.f64 (.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps)) (.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps)) (fma.f64 2 (.f64 eps x) (.f64 eps eps)))))
(cbrt.f64 (pow.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps)) 3))
(log1p.f64 (expm1.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps))))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(expm1.f64 (log1p.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps))))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(binary32->binary64 (binary64->binary32 (fma.f64 2 (.f64 eps x) (.f64 eps eps))))
(binary32->binary64 (binary64->binary32 (fma.f64 2 (.f64 eps x) (.f64 eps eps))))
(binary32->binary64 (fma.f32 2 (.f32 (binary64->binary32 eps) (binary64->binary32 x)) (.f32 (binary64->binary32 eps) (binary64->binary32 eps))))
(binary32->binary64 (binary64->binary32 (fma.f64 2 (.f64 eps x) (.f64 eps eps))))
(binary32->binary64 (binary64->binary32 (fma.f64 2 (.f64 eps x) (.f64 eps eps))))
(binary32->binary64 (fma.f32 2 (.f32 (binary64->binary32 eps) (binary64->binary32 x)) (.f32 (binary64->binary32 eps) (binary64->binary32 eps))))

eval401.0ms (5.9%)

Compiler: Compiled 24951 to 14376 computations (42.4% saved)

prune121.0ms (1.8%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	558	2	560
Fresh	0	3	3
Picked	1	2	3
Done	0	2	2
Total	559	9	568

Accuracy

100.0%

Counts

568 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.7%	(/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 4 (/.f64 (-.f64 (.f64 2 x) eps) eps))) (.f64 (.f64 eps eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))) (.f64 (/.f64 (-.f64 (.f64 2 x) eps) eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))))
✓	76.9%	(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
▶	100.0%	(+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))
✓	63.6%	(*.f64 eps (+.f64 x x))
✓	100.0%	(*.f64 eps (+.f64 eps (+.f64 x x)))
✓	74.8%	(*.f64 eps eps)
	4.3%	1/4
	39.9%	0
	2.9%	-1
▶	72.7%	(/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 4 (/.f64 (-.f64 (.f64 2 x) eps) eps))) (.f64 (.f64 eps eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))) (.f64 (/.f64 (-.f64 (.f64 2 x) eps) eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))))
✓	76.9%	(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
▶	100.0%	(+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))
✓	63.6%	(*.f64 eps (+.f64 x x))
✓	100.0%	(*.f64 eps (+.f64 eps (+.f64 x x)))
✓	74.8%	(*.f64 eps eps)
	4.3%	1/4
	39.9%	0
	2.9%	-1

Compiler

Compiled 206 to 128 computations (37.9% saved)

localize369.0ms (5.4%)

Localize:

Found 12 expressions with local error:

New	Accuracy	Program
	99.7%	(.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))
	100.0%	(/.f64 (-.f64 (*.f64 2 x) eps) eps)
	100.0%	(/.f64 (-.f64 (*.f64 2 x) eps) x)
	100.0%	(-.f64 (.f64 (.f64 eps eps) (.f64 4 (/.f64 (-.f64 (.f64 2 x) eps) eps))) (.f64 (.f64 eps eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))))
	100.0%	(.f64 2 (.f64 eps x))
	100.0%	(+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))
✓	99.0%	(.f64 (/.f64 (-.f64 (.f64 2 x) eps) eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))
✓	88.2%	(.f64 (.f64 eps eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))
✓	87.9%	(.f64 (.f64 eps eps) (.f64 4 (/.f64 (-.f64 (.f64 2 x) eps) eps)))
✓	85.2%	(/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 4 (/.f64 (-.f64 (.f64 2 x) eps) eps))) (.f64 (.f64 eps eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))) (.f64 (/.f64 (-.f64 (.f64 2 x) eps) eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))))
✓	100.0%	(+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))
✓	100.0%	(.f64 2 (.f64 eps x))

Compiler

Compiled 203 to 100 computations (50.7% saved)

series166.0ms (2.4%)

Counts

6 → 120

Calls

36 calls:

Time	Variable		Point	Expression
149.0ms	x	@	inf	(.f64 (.f64 eps eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))
2.0ms	x	@	0	(.f64 (.f64 eps eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))
2.0ms	eps	@	0	(/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 4 (/.f64 (-.f64 (.f64 2 x) eps) eps))) (.f64 (.f64 eps eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))) (.f64 (/.f64 (-.f64 (.f64 2 x) eps) eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))))
1.0ms	x	@	-inf	(/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 4 (/.f64 (-.f64 (.f64 2 x) eps) eps))) (.f64 (.f64 eps eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))) (.f64 (/.f64 (-.f64 (.f64 2 x) eps) eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))))
1.0ms	x	@	0	(.f64 2 (.f64 eps x))

rewrite140.0ms (2.1%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

954×	`frac-add`
924×	`frac-2neg`
794×	`frac-sub`
560×	`unpow-prod-down`
406×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	302
1	142	290
2	1548	272

Stop Event

1×	node limit

Counts

6 → 238

Calls

Call 1

Inputs
(.f64 2 (.f64 eps x))
(+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))
(/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 4 (/.f64 (-.f64 (.f64 2 x) eps) eps))) (.f64 (.f64 eps eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))) (.f64 (/.f64 (-.f64 (.f64 2 x) eps) eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))))
(.f64 (.f64 eps eps) (.f64 4 (/.f64 (-.f64 (.f64 2 x) eps) eps)))
(.f64 (.f64 eps eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))
(.f64 (/.f64 (-.f64 (.f64 2 x) eps) eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))

Outputs
(-.f64 (/.f64 (pow.f64 eps 4) (fma.f64 eps eps (.f64 eps (.f64 x -2)))) (/.f64 (pow.f64 (.f64 2 (.f64 eps x)) 2) (fma.f64 eps eps (.f64 eps (.f64 x -2)))))
(-.f64 (/.f64 (pow.f64 (.f64 2 (.f64 eps x)) 2) (.f64 eps (-.f64 (.f64 2 x) eps))) (/.f64 (pow.f64 eps 4) (.f64 eps (-.f64 (.f64 2 x) eps))))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (+.f64 (pow.f64 eps 6) (.f64 8 (pow.f64 (.f64 eps x) 3))) (/.f64 1 (+.f64 (pow.f64 eps 4) (.f64 (.f64 2 (.f64 eps x)) (.f64 eps (-.f64 (.f64 2 x) eps))))))
(.f64 (-.f64 (pow.f64 eps 4) (pow.f64 (.f64 2 (.f64 eps x)) 2)) (/.f64 1 (fma.f64 eps eps (.f64 eps (*.f64 x -2)))))
(/.f64 (+.f64 (pow.f64 eps 6) (.f64 8 (pow.f64 (.f64 eps x) 3))) (+.f64 (pow.f64 eps 4) (.f64 (.f64 2 (.f64 eps x)) (.f64 eps (-.f64 (*.f64 2 x) eps)))))
(/.f64 (+.f64 (pow.f64 eps 6) (.f64 8 (pow.f64 (.f64 eps x) 3))) (+.f64 (pow.f64 (.f64 2 (.f64 eps x)) 2) (+.f64 (pow.f64 eps 4) (.f64 (.f64 eps eps) (.f64 eps (.f64 x -2))))))
(/.f64 (-.f64 (pow.f64 eps 4) (pow.f64 (.f64 2 (.f64 eps x)) 2)) (fma.f64 eps eps (.f64 eps (.f64 x -2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 eps 4) (.f64 (.f64 2 (.f64 eps x)) (.f64 eps (-.f64 (.f64 2 x) eps)))) (+.f64 (pow.f64 eps 6) (.f64 8 (pow.f64 (*.f64 eps x) 3)))))
(/.f64 1 (/.f64 (fma.f64 eps eps (.f64 eps (.f64 x -2))) (-.f64 (pow.f64 eps 4) (pow.f64 (.f64 2 (.f64 eps x)) 2))))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 (pow.f64 eps 4) (.f64 (.f64 2 (.f64 eps x)) (.f64 eps (-.f64 (.f64 2 x) eps)))) (+.f64 (pow.f64 eps 6) (.f64 8 (pow.f64 (*.f64 eps x) 3))))))
(/.f64 -1 (neg.f64 (/.f64 (fma.f64 eps eps (.f64 eps (.f64 x -2))) (-.f64 (pow.f64 eps 4) (pow.f64 (.f64 2 (.f64 eps x)) 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps 6) (.f64 8 (pow.f64 (.f64 eps x) 3)))) (neg.f64 (+.f64 (pow.f64 eps 4) (.f64 (.f64 2 (.f64 eps x)) (.f64 eps (-.f64 (*.f64 2 x) eps))))))
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(neg.f64 (.f64 1 (/.f64 (.f64 eps (.f64 eps (-.f64 (.f64 4 (+.f64 (/.f64 x (/.f64 eps 2)) -1)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))))) (.f64 (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x)) (neg.f64 (+.f64 (/.f64 x (/.f64 eps 2)) -1))))))
(exp.f64 (.f64 (log.f64 (/.f64 1 (+.f64 (.f64 (/.f64 (.f64 eps (.f64 eps 4)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))) 1) (.f64 (/.f64 (/.f64 (pow.f64 eps 3) x) (.f64 (+.f64 (/.f64 x (/.f64 eps 2)) -1) (/.f64 eps x))) -1)))) -1))
(/.f64 (.f64 eps (.f64 eps 4)) (/.f64 eps (-.f64 (*.f64 2 x) eps)))
(/.f64 (.f64 (.f64 eps (.f64 eps 4)) (-.f64 (.f64 2 x) eps)) eps)
(/.f64 (.f64 (.f64 eps eps) (.f64 4 (-.f64 (.f64 2 x) eps))) eps)
(/.f64 (neg.f64 (.f64 (.f64 eps (.f64 eps 4)) (-.f64 (.f64 2 x) eps))) (neg.f64 eps))
(/.f64 (.f64 (.f64 eps (.f64 eps 4)) 1) (/.f64 eps (-.f64 (.f64 2 x) eps)))
(/.f64 (.f64 (.f64 4 (-.f64 (.f64 2 x) eps)) (.f64 eps eps)) eps)
(/.f64 (neg.f64 (.f64 eps (.f64 eps 4))) (neg.f64 (/.f64 eps (-.f64 (*.f64 2 x) eps))))
(/.f64 (neg.f64 (.f64 (.f64 eps eps) (.f64 4 (-.f64 (.f64 2 x) eps)))) (neg.f64 eps))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 eps (.f64 eps 4)) (-.f64 (.f64 2 x) eps)))) (*.f64 1 eps))
(/.f64 (neg.f64 (.f64 (.f64 eps (.f64 eps 4)) 1)) (neg.f64 (/.f64 eps (-.f64 (.f64 2 x) eps))))
(/.f64 (neg.f64 (.f64 (.f64 4 (-.f64 (.f64 2 x) eps)) (.f64 eps eps))) (neg.f64 eps))
(neg.f64 (.f64 (/.f64 (-.f64 (.f64 2 x) eps) (neg.f64 eps)) (.f64 eps (.f64 eps 4))))
(neg.f64 (.f64 (.f64 eps (.f64 eps 4)) (/.f64 (-.f64 (.f64 2 x) eps) (neg.f64 eps))))
(/.f64 (/.f64 (pow.f64 eps 3) x) (/.f64 x (-.f64 (*.f64 2 x) eps)))
(/.f64 (neg.f64 (/.f64 (pow.f64 eps 3) x)) (neg.f64 (/.f64 x (-.f64 (*.f64 2 x) eps))))
(/.f64 (.f64 (/.f64 (pow.f64 eps 3) x) (-.f64 (.f64 2 x) eps)) x)
(/.f64 (.f64 (.f64 eps (neg.f64 eps)) (.f64 eps (-.f64 (.f64 2 x) eps))) (*.f64 x (neg.f64 x)))
(/.f64 (.f64 (.f64 eps (neg.f64 eps)) (.f64 (-.f64 (.f64 2 x) eps) (/.f64 eps x))) (neg.f64 x))
(/.f64 (.f64 (.f64 eps eps) (.f64 eps (-.f64 (.f64 2 x) eps))) (*.f64 x x))
(/.f64 (.f64 (.f64 eps eps) (.f64 (-.f64 (.f64 2 x) eps) (/.f64 eps x))) x)
(/.f64 (.f64 (/.f64 (pow.f64 eps 3) x) (neg.f64 (-.f64 (.f64 2 x) eps))) (neg.f64 x))
(/.f64 (.f64 (/.f64 (pow.f64 eps 3) x) 1) (/.f64 x (-.f64 (.f64 2 x) eps)))
(/.f64 (.f64 (.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 eps eps)) (*.f64 x x))
(/.f64 (.f64 (.f64 (-.f64 (.f64 2 x) eps) (/.f64 eps x)) (.f64 eps eps)) x)
(/.f64 (neg.f64 (.f64 (/.f64 (pow.f64 eps 3) x) (neg.f64 (-.f64 (.f64 2 x) eps)))) (*.f64 1 x))
(/.f64 (neg.f64 (.f64 (/.f64 (pow.f64 eps 3) x) 1)) (neg.f64 (/.f64 x (-.f64 (.f64 2 x) eps))))
(/.f64 (neg.f64 (.f64 (.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 eps eps))) (*.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 (.f64 2 x) eps) (/.f64 eps x)) (.f64 eps eps))) (neg.f64 x))
(neg.f64 (.f64 (/.f64 eps (neg.f64 x)) (.f64 (/.f64 (-.f64 (.f64 2 x) eps) x) (.f64 eps eps))))
(neg.f64 (.f64 (/.f64 (-.f64 (.f64 2 x) eps) (neg.f64 x)) (/.f64 (pow.f64 eps 3) x)))
(neg.f64 (.f64 (/.f64 (pow.f64 eps 3) x) (/.f64 (-.f64 (.f64 2 x) eps) (neg.f64 x))))
(neg.f64 (.f64 (.f64 (.f64 eps eps) (/.f64 (-.f64 (.f64 2 x) eps) x)) (/.f64 eps (neg.f64 x))))
(-.f64 (/.f64 (.f64 2 x) (/.f64 eps (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))) (/.f64 eps (/.f64 eps (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x)))))
(-.f64 (/.f64 (/.f64 (.f64 8 (pow.f64 x 3)) (+.f64 (.f64 4 (.f64 x x)) (.f64 eps (fma.f64 2 x eps)))) (/.f64 eps (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))) (/.f64 (/.f64 (pow.f64 eps 3) (+.f64 (.f64 4 (.f64 x x)) (.f64 eps (fma.f64 2 x eps)))) (/.f64 eps (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x)))))
(-.f64 (/.f64 (/.f64 (.f64 4 (.f64 x x)) (fma.f64 2 x eps)) (/.f64 eps (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))) (/.f64 (/.f64 (.f64 eps eps) (fma.f64 2 x eps)) (/.f64 eps (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x)))))
(/.f64 (-.f64 (.f64 2 x) eps) (/.f64 eps (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x))))
(/.f64 (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)) (/.f64 eps (-.f64 (*.f64 2 x) eps)))
(/.f64 (neg.f64 (-.f64 (.f64 2 x) eps)) (neg.f64 (/.f64 eps (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x)))))
(/.f64 (.f64 (+.f64 (/.f64 x (/.f64 eps 2)) -1) (/.f64 eps x)) (/.f64 x (-.f64 (.f64 2 x) eps)))
(/.f64 (.f64 (-.f64 (.f64 2 x) eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))) eps)
(/.f64 (.f64 (/.f64 eps x) (neg.f64 (/.f64 (-.f64 (.f64 2 x) eps) x))) (neg.f64 (/.f64 eps (-.f64 (*.f64 2 x) eps))))
(/.f64 1 (/.f64 eps (.f64 (-.f64 (.f64 2 x) eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))))
(/.f64 (.f64 (-.f64 (.f64 2 x) eps) (.f64 eps (-.f64 (.f64 2 x) eps))) (.f64 eps (.f64 x x)))
(/.f64 (.f64 (-.f64 (.f64 2 x) eps) (.f64 (-.f64 (.f64 2 x) eps) (/.f64 eps x))) (*.f64 eps x))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 2 x) eps)) (.f64 eps (-.f64 (.f64 2 x) eps))) (.f64 (neg.f64 eps) (.f64 x x)))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 2 x) eps) (.f64 (-.f64 (.f64 2 x) eps) (/.f64 eps x)))) (*.f64 eps (neg.f64 x)))
(/.f64 (.f64 1 (.f64 eps (-.f64 (.f64 2 x) eps))) (.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 x x)))
(/.f64 (.f64 1 (.f64 (-.f64 (.f64 2 x) eps) (/.f64 eps x))) (.f64 (/.f64 eps (-.f64 (*.f64 2 x) eps)) x))
(/.f64 (.f64 (.f64 eps (-.f64 (.f64 2 x) eps)) (-.f64 (.f64 2 x) eps)) (.f64 (.f64 x x) eps))
(/.f64 (.f64 (.f64 eps (-.f64 (.f64 2 x) eps)) (neg.f64 (-.f64 (.f64 2 x) eps))) (neg.f64 (.f64 (.f64 x x) eps)))
(/.f64 (.f64 (.f64 eps (-.f64 (.f64 2 x) eps)) 1) (.f64 (.f64 x x) (/.f64 eps (-.f64 (.f64 2 x) eps))))
(/.f64 (.f64 (.f64 (-.f64 (.f64 2 x) eps) (/.f64 eps x)) (-.f64 (.f64 2 x) eps)) (*.f64 eps x))
(/.f64 (.f64 (.f64 (-.f64 (.f64 2 x) eps) (/.f64 eps x)) (neg.f64 (-.f64 (.f64 2 x) eps))) (*.f64 eps (neg.f64 x)))
(/.f64 (.f64 (.f64 (-.f64 (.f64 2 x) eps) (/.f64 eps x)) 1) (.f64 x (/.f64 eps (-.f64 (*.f64 2 x) eps))))
(/.f64 -1 (neg.f64 (/.f64 eps (.f64 (-.f64 (.f64 2 x) eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))))))
(/.f64 (.f64 (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)) (neg.f64 (-.f64 (.f64 2 x) eps))) (neg.f64 eps))
(/.f64 (.f64 (+.f64 (/.f64 x (/.f64 eps 2)) -1) (neg.f64 (/.f64 eps x))) (neg.f64 (/.f64 x (-.f64 (.f64 2 x) eps))))
(/.f64 (.f64 (.f64 (+.f64 (/.f64 x (/.f64 eps 2)) -1) (/.f64 eps x)) (-.f64 (*.f64 2 x) eps)) x)
(/.f64 (.f64 (+.f64 (/.f64 x (/.f64 eps 2)) -1) (.f64 eps (-.f64 (.f64 2 x) eps))) (.f64 x x))
(/.f64 (.f64 (+.f64 (/.f64 x (/.f64 eps 2)) -1) (.f64 (-.f64 (*.f64 2 x) eps) (/.f64 eps x))) x)
(/.f64 (.f64 (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)) 1) (/.f64 eps (-.f64 (.f64 2 x) eps)))
(/.f64 (.f64 (.f64 (+.f64 (/.f64 x (/.f64 eps 2)) -1) (/.f64 eps x)) (neg.f64 (-.f64 (*.f64 2 x) eps))) (neg.f64 x))
(/.f64 (.f64 (.f64 (+.f64 (/.f64 x (/.f64 eps 2)) -1) (/.f64 eps x)) 1) (/.f64 x (-.f64 (*.f64 2 x) eps)))
(/.f64 (.f64 1 (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))) (/.f64 eps (-.f64 (.f64 2 x) eps)))
(/.f64 (.f64 (.f64 eps (-.f64 (.f64 2 x) eps)) (+.f64 (/.f64 x (/.f64 eps 2)) -1)) (.f64 x x))
(/.f64 (.f64 (.f64 (-.f64 (*.f64 2 x) eps) (/.f64 eps x)) (+.f64 (/.f64 x (/.f64 eps 2)) -1)) x)
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)) (neg.f64 (-.f64 (.f64 2 x) eps)))) (*.f64 1 eps))
(/.f64 (neg.f64 (.f64 (neg.f64 (-.f64 (.f64 2 x) eps)) (.f64 eps (-.f64 (.f64 2 x) eps)))) (neg.f64 (.f64 (neg.f64 eps) (.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (.f64 2 x) eps) (.f64 (-.f64 (.f64 2 x) eps) (/.f64 eps x))))) (*.f64 (neg.f64 eps) (neg.f64 x)))
(/.f64 (neg.f64 (.f64 1 (.f64 eps (-.f64 (.f64 2 x) eps)))) (neg.f64 (.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 x x))))
(/.f64 (neg.f64 (.f64 1 (.f64 (-.f64 (.f64 2 x) eps) (/.f64 eps x)))) (.f64 (/.f64 eps (-.f64 (*.f64 2 x) eps)) (neg.f64 x)))
(/.f64 (neg.f64 (.f64 (.f64 eps (-.f64 (.f64 2 x) eps)) (neg.f64 (-.f64 (.f64 2 x) eps)))) (neg.f64 (neg.f64 (.f64 (.f64 x x) eps))))
(/.f64 (neg.f64 (.f64 (.f64 eps (-.f64 (.f64 2 x) eps)) 1)) (neg.f64 (.f64 (.f64 x x) (/.f64 eps (-.f64 (.f64 2 x) eps)))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 (.f64 2 x) eps) (/.f64 eps x)) (neg.f64 (-.f64 (.f64 2 x) eps)))) (*.f64 (neg.f64 eps) (neg.f64 x)))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 (.f64 2 x) eps) (/.f64 eps x)) 1)) (neg.f64 (.f64 x (/.f64 eps (-.f64 (*.f64 2 x) eps)))))
(/.f64 (neg.f64 (.f64 (+.f64 (/.f64 x (/.f64 eps 2)) -1) (.f64 eps (-.f64 (.f64 2 x) eps)))) (.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (.f64 (+.f64 (/.f64 x (/.f64 eps 2)) -1) (.f64 (-.f64 (*.f64 2 x) eps) (/.f64 eps x)))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)) 1)) (neg.f64 (/.f64 eps (-.f64 (.f64 2 x) eps))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 (/.f64 x (/.f64 eps 2)) -1) (/.f64 eps x)) (neg.f64 (-.f64 (.f64 2 x) eps)))) (.f64 1 x))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 (/.f64 x (/.f64 eps 2)) -1) (/.f64 eps x)) 1)) (neg.f64 (/.f64 x (-.f64 (*.f64 2 x) eps))))
(/.f64 (neg.f64 (.f64 1 (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))) (neg.f64 (/.f64 eps (-.f64 (.f64 2 x) eps))))
(/.f64 (neg.f64 (.f64 (.f64 eps (-.f64 (.f64 2 x) eps)) (+.f64 (/.f64 x (/.f64 eps 2)) -1))) (.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 (*.f64 2 x) eps) (/.f64 eps x)) (+.f64 (/.f64 x (/.f64 eps 2)) -1))) (neg.f64 x))
(neg.f64 (.f64 (/.f64 (-.f64 (.f64 2 x) eps) (neg.f64 eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))))
(neg.f64 (.f64 (/.f64 eps (neg.f64 x)) (.f64 (/.f64 (-.f64 (*.f64 2 x) eps) x) (+.f64 (/.f64 x (/.f64 eps 2)) -1))))
(neg.f64 (.f64 (/.f64 (-.f64 (.f64 2 x) eps) (neg.f64 x)) (*.f64 (+.f64 (/.f64 x (/.f64 eps 2)) -1) (/.f64 eps x))))
(neg.f64 (.f64 (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)) (/.f64 (-.f64 (.f64 2 x) eps) (neg.f64 eps))))
(neg.f64 (.f64 (.f64 (+.f64 (/.f64 x (/.f64 eps 2)) -1) (/.f64 eps x)) (/.f64 (-.f64 (*.f64 2 x) eps) (neg.f64 x))))
(neg.f64 (.f64 (.f64 (+.f64 (/.f64 x (/.f64 eps 2)) -1) (/.f64 (-.f64 (*.f64 2 x) eps) x)) (/.f64 eps (neg.f64 x))))

Calls

18 calls:

1.0ms	(.f64 2 (.f64 eps x))
0.0ms	(.f64 2 (.f64 eps x))
0.0ms	(+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))
0.0ms	(/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 4 (/.f64 (-.f64 (.f64 2 x) eps) eps))) (.f64 (.f64 eps eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))) (.f64 (/.f64 (-.f64 (.f64 2 x) eps) eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))))
0.0ms	(.f64 (.f64 eps eps) (.f64 4 (/.f64 (-.f64 (.f64 2 x) eps) eps)))

simplify216.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

993×	`*-commutative`
862×	`fma-def`
790×	`associate-*r/`
646×	`associate-*l/`
504×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	785	23052
1	2809	20408

Stop Event

1×	node limit

Counts

358 → 408

Calls

Call 1

Inputs
(.f64 2 (.f64 eps x))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(pow.f64 eps 2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(pow.f64 eps 2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(pow.f64 eps 2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(.f64 2 (.f64 eps x))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(.f64 2 (.f64 eps x))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(.f64 2 (.f64 eps x))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(pow.f64 eps 2)
(+.f64 (.f64 eps (-.f64 (.f64 -2 x) (*.f64 -4 x))) (pow.f64 eps 2))
(-.f64 (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 eps (-.f64 (.f64 -2 x) (.f64 -4 x))) (pow.f64 eps 2))) (+.f64 (.f64 -4 (.f64 x (-.f64 (.f64 -2 x) (.f64 -4 x)))) (*.f64 4 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 eps (-.f64 (.f64 -2 x) (.f64 -4 x))) (pow.f64 eps 2)))) (+.f64 (.f64 -4 (.f64 x (-.f64 (.f64 -2 x) (.f64 -4 x)))) (+.f64 (.f64 -4 (/.f64 (.f64 x (-.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -4 (.f64 x (-.f64 (.f64 -2 x) (.f64 -4 x)))) (.f64 4 (pow.f64 x 2))))) eps)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 -2 x) (.f64 -4 x))) eps)) (.f64 4 (pow.f64 x 2))))))
(pow.f64 eps 2)
(+.f64 (.f64 -1 (.f64 eps (-.f64 (.f64 2 x) (.f64 4 x)))) (pow.f64 eps 2))
(-.f64 (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 eps (-.f64 (.f64 2 x) (.f64 4 x)))) (pow.f64 eps 2))) (+.f64 (.f64 4 (.f64 x (-.f64 (.f64 2 x) (.f64 4 x)))) (.f64 4 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 eps (-.f64 (.f64 2 x) (.f64 4 x)))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -8 (pow.f64 x 3)) (+.f64 (.f64 4 (.f64 x (-.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 4 (.f64 x (-.f64 (.f64 2 x) (.f64 4 x)))) (.f64 4 (pow.f64 x 2)))))) (.f64 4 (.f64 (pow.f64 x 2) (-.f64 (.f64 2 x) (.f64 4 x)))))) eps)) (pow.f64 eps 2)))) (+.f64 (.f64 4 (.f64 x (-.f64 (.f64 2 x) (.f64 4 x)))) (.f64 4 (pow.f64 x 2))))
(pow.f64 eps 2)
(+.f64 (.f64 x (-.f64 (.f64 -2 eps) (*.f64 -4 eps))) (pow.f64 eps 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 8 (.f64 -4 (/.f64 (-.f64 (.f64 -2 eps) (.f64 -4 eps)) eps))))) (+.f64 (.f64 x (-.f64 (.f64 -2 eps) (.f64 -4 eps))) (pow.f64 eps 2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 8 (.f64 -4 (/.f64 (-.f64 (.f64 -2 eps) (.f64 -4 eps)) eps))))) (+.f64 (.f64 x (-.f64 (.f64 -2 eps) (.f64 -4 eps))) (+.f64 (.f64 (pow.f64 x 3) (-.f64 (.f64 8 (/.f64 1 eps)) (+.f64 (.f64 4 (/.f64 (+.f64 8 (.f64 -4 (/.f64 (-.f64 (.f64 -2 eps) (.f64 -4 eps)) eps))) eps)) (.f64 4 (/.f64 (-.f64 (.f64 -2 eps) (*.f64 -4 eps)) (pow.f64 eps 2)))))) (pow.f64 eps 2))))
(.f64 2 (.f64 eps x))
(-.f64 (+.f64 (.f64 -1 (pow.f64 eps 2)) (.f64 2 (.f64 eps x))) (.f64 -2 (pow.f64 eps 2)))
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(/.f64 (neg.f64 (.f64 (.f64 (+.f64 (/.f64 x (/.f64 eps 2)) -1) (/.f64 eps x)) (neg.f64 (-.f64 (.f64 2 x) eps)))) (.f64 1 x))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 (/.f64 x (/.f64 eps 2)) -1) (/.f64 eps x)) 1)) (neg.f64 (/.f64 x (-.f64 (*.f64 2 x) eps))))
(/.f64 (neg.f64 (.f64 1 (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))) (neg.f64 (/.f64 eps (-.f64 (.f64 2 x) eps))))
(/.f64 (neg.f64 (.f64 (.f64 eps (-.f64 (.f64 2 x) eps)) (+.f64 (/.f64 x (/.f64 eps 2)) -1))) (.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 (*.f64 2 x) eps) (/.f64 eps x)) (+.f64 (/.f64 x (/.f64 eps 2)) -1))) (neg.f64 x))
(neg.f64 (.f64 (/.f64 (-.f64 (.f64 2 x) eps) (neg.f64 eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))))
(neg.f64 (.f64 (/.f64 eps (neg.f64 x)) (.f64 (/.f64 (-.f64 (*.f64 2 x) eps) x) (+.f64 (/.f64 x (/.f64 eps 2)) -1))))
(neg.f64 (.f64 (/.f64 (-.f64 (.f64 2 x) eps) (neg.f64 x)) (*.f64 (+.f64 (/.f64 x (/.f64 eps 2)) -1) (/.f64 eps x))))
(neg.f64 (.f64 (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)) (/.f64 (-.f64 (.f64 2 x) eps) (neg.f64 eps))))
(neg.f64 (.f64 (.f64 (+.f64 (/.f64 x (/.f64 eps 2)) -1) (/.f64 eps x)) (/.f64 (-.f64 (*.f64 2 x) eps) (neg.f64 x))))
(neg.f64 (.f64 (.f64 (+.f64 (/.f64 x (/.f64 eps 2)) -1) (/.f64 (-.f64 (*.f64 2 x) eps) x)) (/.f64 eps (neg.f64 x))))
(exp.f64 (log.f64 (.f64 (/.f64 (-.f64 (.f64 2 x) eps) eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))))
(log.f64 (exp.f64 (.f64 (/.f64 (-.f64 (.f64 2 x) eps) eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))))
(.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 (.f64 2 x) eps) eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))) (sqrt.f64 (.f64 (/.f64 (-.f64 (.f64 2 x) eps) eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x)))))
(.f64 1 (.f64 (/.f64 (-.f64 (.f64 2 x) eps) eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x))))
(pow.f64 (.f64 (/.f64 (-.f64 (.f64 2 x) eps) eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))) 1)
(.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 (.f64 2 x) eps) eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))) (cbrt.f64 (.f64 (/.f64 (-.f64 (.f64 2 x) eps) eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))))) (cbrt.f64 (.f64 (/.f64 (-.f64 (.f64 2 x) eps) eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))))
(cbrt.f64 (.f64 (.f64 (.f64 (/.f64 (-.f64 (.f64 2 x) eps) eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))) (.f64 (/.f64 (-.f64 (.f64 2 x) eps) eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))) (.f64 (/.f64 (-.f64 (.f64 2 x) eps) eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (-.f64 (.f64 2 x) eps) eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (-.f64 (.f64 2 x) eps) eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))))
(binary32->binary64 (binary64->binary32 (.f64 (/.f64 (-.f64 (.f64 2 x) eps) eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))))
(binary32->binary64 (binary64->binary32 (.f64 (/.f64 (-.f64 (.f64 2 x) eps) eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))))
(binary32->binary64 (.f32 (/.f32 (-.f32 (.f32 2 (binary64->binary32 x)) (binary64->binary32 eps)) (binary64->binary32 eps)) (.f32 (/.f32 (binary64->binary32 eps) (binary64->binary32 x)) (/.f32 (-.f32 (.f32 2 (binary64->binary32 x)) (binary64->binary32 eps)) (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))))
(binary32->binary64 (binary64->binary32 (+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))))
(binary32->binary64 (+.f32 (.f32 (binary64->binary32 eps) (binary64->binary32 eps)) (.f32 2 (*.f32 (binary64->binary32 eps) (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (.f64 2 (.f64 eps x))))
(binary32->binary64 (binary64->binary32 (.f64 2 (.f64 eps x))))
(binary32->binary64 (.f32 2 (.f32 (binary64->binary32 eps) (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (-.f64 (.f64 (.f64 eps eps) (.f64 4 (/.f64 (-.f64 (.f64 2 x) eps) eps))) (.f64 (.f64 eps eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))))))
(binary32->binary64 (binary64->binary32 (-.f64 (.f64 (.f64 eps eps) (.f64 4 (/.f64 (-.f64 (.f64 2 x) eps) eps))) (.f64 (.f64 eps eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))))))
(binary32->binary64 (-.f32 (.f32 (.f32 (binary64->binary32 eps) (binary64->binary32 eps)) (.f32 4 (/.f32 (-.f32 (.f32 2 (binary64->binary32 x)) (binary64->binary32 eps)) (binary64->binary32 eps)))) (.f32 (.f32 (binary64->binary32 eps) (binary64->binary32 eps)) (.f32 (/.f32 (binary64->binary32 eps) (binary64->binary32 x)) (/.f32 (-.f32 (.f32 2 (binary64->binary32 x)) (binary64->binary32 eps)) (binary64->binary32 x))))))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (*.f64 2 x) eps) x)))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (*.f64 2 x) eps) x)))
(binary32->binary64 (/.f32 (-.f32 (*.f32 2 (binary64->binary32 x)) (binary64->binary32 eps)) (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (*.f64 2 x) eps) eps)))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (*.f64 2 x) eps) eps)))
(binary32->binary64 (/.f32 (-.f32 (*.f32 2 (binary64->binary32 x)) (binary64->binary32 eps)) (binary64->binary32 eps)))
(binary32->binary64 (binary64->binary32 (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))))
(binary32->binary64 (binary64->binary32 (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))))
(binary32->binary64 (.f32 (/.f32 (binary64->binary32 eps) (binary64->binary32 x)) (/.f32 (-.f32 (.f32 2 (binary64->binary32 x)) (binary64->binary32 eps)) (binary64->binary32 x))))

Outputs
(.f64 2 (.f64 eps x))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 x (.f64 2 eps) (.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 x (.f64 2 eps) (.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 x (.f64 2 eps) (.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 x (.f64 2 eps) (.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 x (.f64 2 eps) (.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 x (.f64 2 eps) (.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 x (.f64 2 eps) (.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 x (.f64 2 eps) (.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 x (.f64 2 eps) (.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 x (.f64 2 eps) (.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 x (.f64 2 eps) (.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 x (.f64 2 eps) (.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(.f64 2 (.f64 eps x))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 x (.f64 2 eps) (.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 x (.f64 2 eps) (.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 x (.f64 2 eps) (.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(.f64 2 (.f64 eps x))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 x (.f64 2 eps) (.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 x (.f64 2 eps) (.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 x (.f64 2 eps) (.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(.f64 2 (.f64 eps x))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 x (.f64 2 eps) (.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 x (.f64 2 eps) (.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 x (.f64 2 eps) (.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (.f64 eps (-.f64 (.f64 -2 x) (*.f64 -4 x))) (pow.f64 eps 2))
(fma.f64 eps (.f64 2 x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(-.f64 (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 eps (-.f64 (.f64 -2 x) (.f64 -4 x))) (pow.f64 eps 2))) (+.f64 (.f64 -4 (.f64 x (-.f64 (.f64 -2 x) (.f64 -4 x)))) (*.f64 4 (pow.f64 x 2))))
(-.f64 (fma.f64 -4 (.f64 x x) (fma.f64 eps (.f64 2 x) (.f64 eps eps))) (fma.f64 -4 (.f64 x (.f64 2 x)) (.f64 (*.f64 x x) 4)))
(fma.f64 -4 (.f64 x x) (-.f64 (.f64 eps (fma.f64 2 x eps)) (fma.f64 (.f64 x x) 4 (.f64 (.f64 x -4) (.f64 2 x)))))
(-.f64 (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 eps (-.f64 (.f64 -2 x) (.f64 -4 x))) (pow.f64 eps 2)))) (+.f64 (.f64 -4 (.f64 x (-.f64 (.f64 -2 x) (.f64 -4 x)))) (+.f64 (.f64 -4 (/.f64 (.f64 x (-.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -4 (.f64 x (-.f64 (.f64 -2 x) (.f64 -4 x)))) (.f64 4 (pow.f64 x 2))))) eps)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 -2 x) (.f64 -4 x))) eps)) (.f64 4 (pow.f64 x 2))))))
(-.f64 (fma.f64 -4 (.f64 x x) (fma.f64 8 (/.f64 (pow.f64 x 3) eps) (fma.f64 eps (.f64 2 x) (.f64 eps eps)))) (fma.f64 -4 (.f64 x (.f64 2 x)) (fma.f64 -4 (/.f64 (.f64 x (-.f64 (.f64 -4 (.f64 x x)) (fma.f64 -4 (.f64 x (.f64 2 x)) (.f64 (.f64 x x) 4)))) eps) (.f64 4 (+.f64 (/.f64 (.f64 x x) (/.f64 eps (.f64 2 x))) (.f64 x x))))))
(-.f64 (fma.f64 -4 (.f64 x x) (fma.f64 8 (/.f64 (pow.f64 x 3) eps) (.f64 eps (fma.f64 2 x eps)))) (fma.f64 -4 (.f64 x (.f64 2 x)) (fma.f64 4 (+.f64 (.f64 x x) (/.f64 (.f64 x x) (/.f64 eps (.f64 2 x)))) (/.f64 (.f64 x -4) (/.f64 eps (+.f64 (.f64 -4 (-.f64 (.f64 x x) (.f64 x (.f64 2 x)))) (.f64 -4 (.f64 x x))))))))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (.f64 -1 (.f64 eps (-.f64 (.f64 2 x) (.f64 4 x)))) (pow.f64 eps 2))
(fma.f64 x (.f64 2 eps) (.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(-.f64 (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 eps (-.f64 (.f64 2 x) (.f64 4 x)))) (pow.f64 eps 2))) (+.f64 (.f64 4 (.f64 x (-.f64 (.f64 2 x) (.f64 4 x)))) (.f64 4 (pow.f64 x 2))))
(-.f64 (fma.f64 -4 (.f64 x x) (fma.f64 -1 (.f64 eps (.f64 x -2)) (.f64 eps eps))) (.f64 4 (+.f64 (.f64 x (.f64 x -2)) (.f64 x x))))
(fma.f64 -4 (.f64 x x) (-.f64 (fma.f64 2 (.f64 eps x) (.f64 eps eps)) (.f64 (.f64 x 4) (+.f64 (.f64 x -2) x))))
(-.f64 (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 eps (-.f64 (.f64 2 x) (.f64 4 x)))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -8 (pow.f64 x 3)) (+.f64 (.f64 4 (.f64 x (-.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 4 (.f64 x (-.f64 (.f64 2 x) (.f64 4 x)))) (.f64 4 (pow.f64 x 2)))))) (.f64 4 (.f64 (pow.f64 x 2) (-.f64 (.f64 2 x) (.f64 4 x)))))) eps)) (pow.f64 eps 2)))) (+.f64 (.f64 4 (.f64 x (-.f64 (.f64 2 x) (.f64 4 x)))) (.f64 4 (pow.f64 x 2))))
(-.f64 (fma.f64 -4 (.f64 x x) (fma.f64 -1 (.f64 eps (.f64 x -2)) (fma.f64 -1 (/.f64 (-.f64 (.f64 (pow.f64 x 3) -8) (.f64 4 (+.f64 (.f64 x (-.f64 (.f64 -4 (.f64 x x)) (.f64 4 (+.f64 (.f64 x (.f64 x -2)) (.f64 x x))))) (.f64 (.f64 x x) (.f64 x -2))))) eps) (.f64 eps eps)))) (.f64 4 (+.f64 (.f64 x (.f64 x -2)) (.f64 x x))))
(+.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) -8 (.f64 -4 (fma.f64 x (fma.f64 -4 (.f64 x x) (.f64 -4 (.f64 x (+.f64 (.f64 x -2) x)))) (.f64 (.f64 x x) (.f64 x -2)))))) eps) (fma.f64 2 (.f64 eps x) (.f64 eps eps))) (fma.f64 -4 (.f64 x x) (.f64 -4 (.f64 x (+.f64 (.f64 x -2) x)))))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (.f64 x (-.f64 (.f64 -2 eps) (*.f64 -4 eps))) (pow.f64 eps 2))
(fma.f64 x (.f64 2 eps) (.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 8 (.f64 -4 (/.f64 (-.f64 (.f64 -2 eps) (.f64 -4 eps)) eps))))) (+.f64 (.f64 x (-.f64 (.f64 -2 eps) (.f64 -4 eps))) (pow.f64 eps 2)))
(fma.f64 -1 (.f64 (.f64 x x) (+.f64 8 (/.f64 (.f64 -4 (.f64 2 eps)) eps))) (fma.f64 x (.f64 2 eps) (.f64 eps eps)))
(fma.f64 (.f64 x (neg.f64 x)) (fma.f64 -4 (/.f64 (.f64 2 eps) eps) 8) (fma.f64 2 (.f64 eps x) (.f64 eps eps)))
(+.f64 (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 8 (.f64 -4 (/.f64 (-.f64 (.f64 -2 eps) (.f64 -4 eps)) eps))))) (+.f64 (.f64 x (-.f64 (.f64 -2 eps) (.f64 -4 eps))) (+.f64 (.f64 (pow.f64 x 3) (-.f64 (.f64 8 (/.f64 1 eps)) (+.f64 (.f64 4 (/.f64 (+.f64 8 (.f64 -4 (/.f64 (-.f64 (.f64 -2 eps) (.f64 -4 eps)) eps))) eps)) (.f64 4 (/.f64 (-.f64 (.f64 -2 eps) (*.f64 -4 eps)) (pow.f64 eps 2)))))) (pow.f64 eps 2))))
(fma.f64 -1 (.f64 (.f64 x x) (+.f64 8 (/.f64 (.f64 -4 (.f64 2 eps)) eps))) (fma.f64 x (.f64 2 eps) (fma.f64 (pow.f64 x 3) (-.f64 (/.f64 8 eps) (.f64 4 (+.f64 (/.f64 (+.f64 8 (/.f64 (.f64 -4 (.f64 2 eps)) eps)) eps) (/.f64 (.f64 2 eps) (.f64 eps eps))))) (*.f64 eps eps))))
(-.f64 (fma.f64 2 (.f64 eps x) (fma.f64 (pow.f64 x 3) (+.f64 (/.f64 8 eps) (.f64 -4 (+.f64 (/.f64 (fma.f64 -4 (/.f64 (.f64 2 eps) eps) 8) eps) (/.f64 (.f64 2 eps) (.f64 eps eps))))) (.f64 eps eps))) (.f64 (.f64 x x) (fma.f64 -4 (/.f64 (*.f64 2 eps) eps) 8)))
(.f64 2 (.f64 eps x))
(-.f64 (+.f64 (.f64 -1 (pow.f64 eps 2)) (.f64 2 (.f64 eps x))) (.f64 -2 (pow.f64 eps 2)))
(fma.f64 x (.f64 2 eps) (.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(-.f64 (+.f64 (.f64 -1 (pow.f64 eps 2)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 eps 3) x)) (.f64 2 (.f64 eps x)))) (+.f64 (.f64 -2 (pow.f64 eps 2)) (+.f64 (.f64 -1 (/.f64 (.f64 eps (-.f64 (.f64 -1 (pow.f64 eps 2)) (.f64 -2 (pow.f64 eps 2)))) x)) (.f64 1/2 (/.f64 (pow.f64 eps 3) x)))))
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(binary32->binary64 (binary64->binary32 (.f64 (/.f64 (-.f64 (.f64 2 x) eps) x) (*.f64 (/.f64 eps x) (fma.f64 (/.f64 x eps) 2 -1)))))
(binary32->binary64 (.f32 (/.f32 (-.f32 (.f32 2 (binary64->binary32 x)) (binary64->binary32 eps)) (binary64->binary32 eps)) (.f32 (/.f32 (binary64->binary32 eps) (binary64->binary32 x)) (/.f32 (-.f32 (.f32 2 (binary64->binary32 x)) (binary64->binary32 eps)) (binary64->binary32 x)))))
(binary32->binary64 (.f32 (.f32 (+.f32 (/.f32 (.f32 2 (binary64->binary32 x)) (binary64->binary32 eps)) -1) (/.f32 (-.f32 (.f32 2 (binary64->binary32 x)) (binary64->binary32 eps)) (binary64->binary32 x))) (/.f32 (binary64->binary32 eps) (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))))
(binary32->binary64 (binary64->binary32 (fma.f64 x (.f64 2 eps) (.f64 eps eps))))
(binary32->binary64 (binary64->binary32 (fma.f64 2 (.f64 eps x) (.f64 eps eps))))
(binary32->binary64 (binary64->binary32 (+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))))
(binary32->binary64 (binary64->binary32 (fma.f64 x (.f64 2 eps) (.f64 eps eps))))
(binary32->binary64 (binary64->binary32 (fma.f64 2 (.f64 eps x) (.f64 eps eps))))
(binary32->binary64 (+.f32 (.f32 (binary64->binary32 eps) (binary64->binary32 eps)) (.f32 2 (*.f32 (binary64->binary32 eps) (binary64->binary32 x)))))
(binary32->binary64 (fma.f32 (binary64->binary32 eps) (binary64->binary32 eps) (.f32 2 (.f32 (binary64->binary32 eps) (binary64->binary32 x)))))
(binary32->binary64 (fma.f32 2 (.f32 (binary64->binary32 eps) (binary64->binary32 x)) (.f32 (binary64->binary32 eps) (binary64->binary32 eps))))
(binary32->binary64 (binary64->binary32 (.f64 2 (.f64 eps x))))
(binary32->binary64 (binary64->binary32 (.f64 2 (.f64 eps x))))
(binary32->binary64 (.f32 2 (.f32 (binary64->binary32 eps) (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (-.f64 (.f64 (.f64 eps eps) (.f64 4 (/.f64 (-.f64 (.f64 2 x) eps) eps))) (.f64 (.f64 eps eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))))))
(binary32->binary64 (binary64->binary32 (.f64 (.f64 eps eps) (-.f64 (.f64 4 (/.f64 (-.f64 (.f64 2 x) eps) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))))))
(binary32->binary64 (binary64->binary32 (.f64 (.f64 eps eps) (fma.f64 4 (fma.f64 (/.f64 x eps) 2 -1) (.f64 (/.f64 (-.f64 (.f64 2 x) eps) x) (/.f64 (neg.f64 eps) x))))))
(binary32->binary64 (binary64->binary32 (-.f64 (.f64 (.f64 eps eps) (.f64 4 (/.f64 (-.f64 (.f64 2 x) eps) eps))) (.f64 (.f64 eps eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))))))
(binary32->binary64 (binary64->binary32 (.f64 (.f64 eps eps) (-.f64 (.f64 4 (/.f64 (-.f64 (.f64 2 x) eps) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))))))
(binary32->binary64 (binary64->binary32 (.f64 (.f64 eps eps) (fma.f64 4 (fma.f64 (/.f64 x eps) 2 -1) (.f64 (/.f64 (-.f64 (.f64 2 x) eps) x) (/.f64 (neg.f64 eps) x))))))
(binary32->binary64 (-.f32 (.f32 (.f32 (binary64->binary32 eps) (binary64->binary32 eps)) (.f32 4 (/.f32 (-.f32 (.f32 2 (binary64->binary32 x)) (binary64->binary32 eps)) (binary64->binary32 eps)))) (.f32 (.f32 (binary64->binary32 eps) (binary64->binary32 eps)) (.f32 (/.f32 (binary64->binary32 eps) (binary64->binary32 x)) (/.f32 (-.f32 (.f32 2 (binary64->binary32 x)) (binary64->binary32 eps)) (binary64->binary32 x))))))
(binary32->binary64 (.f32 (.f32 (binary64->binary32 eps) (binary64->binary32 eps)) (-.f32 (.f32 4 (/.f32 (-.f32 (.f32 2 (binary64->binary32 x)) (binary64->binary32 eps)) (binary64->binary32 eps))) (.f32 (/.f32 (binary64->binary32 eps) (binary64->binary32 x)) (/.f32 (-.f32 (.f32 2 (binary64->binary32 x)) (binary64->binary32 eps)) (binary64->binary32 x))))))
(binary32->binary64 (.f32 (.f32 (binary64->binary32 eps) (binary64->binary32 eps)) (-.f32 (.f32 4 (+.f32 (/.f32 (.f32 2 (binary64->binary32 x)) (binary64->binary32 eps)) -1)) (.f32 (/.f32 (binary64->binary32 eps) (binary64->binary32 x)) (/.f32 (-.f32 (.f32 2 (binary64->binary32 x)) (binary64->binary32 eps)) (binary64->binary32 x))))))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (*.f64 2 x) eps) x)))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (*.f64 2 x) eps) x)))
(binary32->binary64 (/.f32 (-.f32 (*.f32 2 (binary64->binary32 x)) (binary64->binary32 eps)) (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (*.f64 2 x) eps) eps)))
(binary32->binary64 (binary64->binary32 (fma.f64 (/.f64 x eps) 2 -1)))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (*.f64 2 x) eps) eps)))
(binary32->binary64 (binary64->binary32 (fma.f64 (/.f64 x eps) 2 -1)))
(binary32->binary64 (/.f32 (-.f32 (*.f32 2 (binary64->binary32 x)) (binary64->binary32 eps)) (binary64->binary32 eps)))
(binary32->binary64 (+.f32 (/.f32 (*.f32 2 (binary64->binary32 x)) (binary64->binary32 eps)) -1))
(binary32->binary64 (binary64->binary32 (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))))
(binary32->binary64 (binary64->binary32 (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))))
(binary32->binary64 (.f32 (/.f32 (binary64->binary32 eps) (binary64->binary32 x)) (/.f32 (-.f32 (.f32 2 (binary64->binary32 x)) (binary64->binary32 eps)) (binary64->binary32 x))))

eval399.0ms (5.9%)

Compiler: Compiled 21256 to 11784 computations (44.6% saved)

prune117.0ms (1.7%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	415	1	416
Fresh	0	3	3
Picked	0	2	2
Done	1	3	4
Total	416	9	425

Accuracy

100.0%

Counts

425 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.7%	(/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 4 (/.f64 (-.f64 (.f64 2 x) eps) eps))) (.f64 (.f64 eps eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))) (.f64 (/.f64 (-.f64 (.f64 2 x) eps) eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))))
✓	100.0%	(+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))
▶	83.8%	(.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))) (.f64 eps (.f64 eps (-.f64 (.f64 4 (+.f64 (/.f64 x (/.f64 eps 2)) -1)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x))))))
✓	63.6%	(*.f64 eps (+.f64 x x))
✓	100.0%	(*.f64 eps (+.f64 eps (+.f64 x x)))
✓	74.8%	(*.f64 eps eps)
	4.3%	1/4
	39.9%	0
	2.9%	-1
✓	72.7%	(/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 4 (/.f64 (-.f64 (.f64 2 x) eps) eps))) (.f64 (.f64 eps eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))) (.f64 (/.f64 (-.f64 (.f64 2 x) eps) eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))))
✓	100.0%	(+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))
▶	83.8%	(.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))) (.f64 eps (.f64 eps (-.f64 (.f64 4 (+.f64 (/.f64 x (/.f64 eps 2)) -1)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x))))))
✓	63.6%	(*.f64 eps (+.f64 x x))
✓	100.0%	(*.f64 eps (+.f64 eps (+.f64 x x)))
✓	74.8%	(*.f64 eps eps)
	4.3%	1/4
	39.9%	0
	2.9%	-1

Compiler

Compiled 278 to 172 computations (38.1% saved)

localize244.0ms (3.6%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
	99.7%	(.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))
	100.0%	(-.f64 (.f64 4 (+.f64 (/.f64 x (/.f64 eps 2)) -1)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x)))
	100.0%	(/.f64 eps (-.f64 (*.f64 2 x) eps))
	100.0%	(/.f64 (-.f64 (*.f64 2 x) eps) x)
✓	98.9%	(/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x)))
✓	97.7%	(.f64 eps (.f64 eps (-.f64 (.f64 4 (+.f64 (/.f64 x (/.f64 eps 2)) -1)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x)))))
✓	94.7%	(.f64 eps (-.f64 (.f64 4 (+.f64 (/.f64 x (/.f64 eps 2)) -1)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))))
✓	86.4%	(.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))) (.f64 eps (.f64 eps (-.f64 (.f64 4 (+.f64 (/.f64 x (/.f64 eps 2)) -1)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x))))))

Compiler

Compiled 201 to 120 computations (40.3% saved)

series12.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(.f64 eps (-.f64 (.f64 4 (+.f64 (/.f64 x (/.f64 eps 2)) -1)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))))
1.0ms	eps	@	0	(.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))) (.f64 eps (.f64 eps (-.f64 (.f64 4 (+.f64 (/.f64 x (/.f64 eps 2)) -1)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x))))))
1.0ms	x	@	inf	(.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))) (.f64 eps (.f64 eps (-.f64 (.f64 4 (+.f64 (/.f64 x (/.f64 eps 2)) -1)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x))))))
1.0ms	x	@	-inf	(.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))) (.f64 eps (.f64 eps (-.f64 (.f64 4 (+.f64 (/.f64 x (/.f64 eps 2)) -1)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x))))))
1.0ms	eps	@	-inf	(.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))) (.f64 eps (.f64 eps (-.f64 (.f64 4 (+.f64 (/.f64 x (/.f64 eps 2)) -1)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x))))))

rewrite170.0ms (2.5%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

1676×	`times-frac`
1580×	`frac-add`
844×	`frac-2neg`
736×	`frac-sub`
246×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	328
1	143	310
2	1375	310

Stop Event

1×	node limit

Counts

4 → 215

Calls

Call 1

Inputs
(.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))) (.f64 eps (.f64 eps (-.f64 (.f64 4 (+.f64 (/.f64 x (/.f64 eps 2)) -1)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x))))))
(.f64 eps (-.f64 (.f64 4 (+.f64 (/.f64 x (/.f64 eps 2)) -1)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))))
(.f64 eps (.f64 eps (-.f64 (.f64 4 (+.f64 (/.f64 x (/.f64 eps 2)) -1)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x)))))
(/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x)))

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

Calls

12 calls:

3.0ms	(.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))) (.f64 eps (.f64 eps (-.f64 (.f64 4 (+.f64 (/.f64 x (/.f64 eps 2)) -1)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x))))))
0.0ms	(.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))) (.f64 eps (.f64 eps (-.f64 (.f64 4 (+.f64 (/.f64 x (/.f64 eps 2)) -1)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x))))))
0.0ms	(.f64 eps (-.f64 (.f64 4 (+.f64 (/.f64 x (/.f64 eps 2)) -1)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))))
0.0ms	(.f64 eps (.f64 eps (-.f64 (.f64 4 (+.f64 (/.f64 x (/.f64 eps 2)) -1)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x)))))
0.0ms	(/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x)))

simplify295.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

1059×	`fma-def`
940×	`times-frac`
823×	`associate-/r*`
533×	`+-commutative`
453×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	859	25993
1	3180	23003

Stop Event

1×	node limit

Counts

311 → 481

Calls

Call 1

Inputs
(.f64 2 (.f64 eps x))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(pow.f64 eps 2)
(+.f64 (.f64 eps (-.f64 (.f64 -2 x) (*.f64 -4 x))) (pow.f64 eps 2))
(-.f64 (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 eps (-.f64 (.f64 -2 x) (.f64 -4 x))) (pow.f64 eps 2))) (+.f64 (.f64 -4 (.f64 x (-.f64 (.f64 -2 x) (.f64 -4 x)))) (*.f64 4 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 eps (-.f64 (.f64 -2 x) (.f64 -4 x))) (pow.f64 eps 2)))) (+.f64 (.f64 -4 (.f64 x (-.f64 (.f64 -2 x) (.f64 -4 x)))) (+.f64 (.f64 -4 (/.f64 (.f64 x (-.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -4 (.f64 x (-.f64 (.f64 -2 x) (.f64 -4 x)))) (.f64 4 (pow.f64 x 2))))) eps)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 -2 x) (.f64 -4 x))) eps)) (.f64 4 (pow.f64 x 2))))))
(pow.f64 eps 2)
(+.f64 (.f64 -1 (.f64 eps (-.f64 (.f64 2 x) (.f64 4 x)))) (pow.f64 eps 2))
(-.f64 (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 eps (-.f64 (.f64 2 x) (.f64 4 x)))) (pow.f64 eps 2))) (+.f64 (.f64 4 (.f64 x (-.f64 (.f64 2 x) (.f64 4 x)))) (.f64 4 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 eps (-.f64 (.f64 2 x) (.f64 4 x)))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -8 (pow.f64 x 3)) (+.f64 (.f64 4 (.f64 x (-.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 4 (.f64 x (-.f64 (.f64 2 x) (.f64 4 x)))) (.f64 4 (pow.f64 x 2)))))) (.f64 4 (.f64 (pow.f64 x 2) (-.f64 (.f64 2 x) (.f64 4 x)))))) eps)) (pow.f64 eps 2)))) (+.f64 (.f64 4 (.f64 x (-.f64 (.f64 2 x) (.f64 4 x)))) (.f64 4 (pow.f64 x 2))))
(pow.f64 eps 2)
(+.f64 (.f64 x (-.f64 (.f64 -2 eps) (*.f64 -4 eps))) (pow.f64 eps 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 8 (.f64 -4 (/.f64 (-.f64 (.f64 -2 eps) (.f64 -4 eps)) eps))))) (+.f64 (.f64 x (-.f64 (.f64 -2 eps) (.f64 -4 eps))) (pow.f64 eps 2)))
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1/4
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1/4
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1/4
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(.f64 (/.f64 eps -1) (/.f64 (neg.f64 (/.f64 1 (-.f64 (.f64 2 x) eps))) (/.f64 eps (/.f64 (.f64 x x) (-.f64 (.f64 2 x) eps)))))
(.f64 (/.f64 eps (/.f64 (neg.f64 eps) x)) (/.f64 (neg.f64 (/.f64 1 (-.f64 (.f64 2 x) eps))) (/.f64 (-.f64 (*.f64 2 x) eps) x)))
(.f64 (/.f64 eps (/.f64 (neg.f64 (-.f64 (.f64 2 x) eps)) x)) (/.f64 (neg.f64 (/.f64 1 (-.f64 (*.f64 2 x) eps))) (/.f64 eps x)))
(.f64 (/.f64 eps (.f64 (/.f64 (neg.f64 eps) x) (-.f64 (.f64 2 x) eps))) (/.f64 (neg.f64 (/.f64 1 (-.f64 (.f64 2 x) eps))) (/.f64 1 x)))
(.f64 (/.f64 (neg.f64 eps) (/.f64 eps x)) (/.f64 (/.f64 1 (-.f64 (.f64 2 x) eps)) (/.f64 (neg.f64 (-.f64 (*.f64 2 x) eps)) x)))
(.f64 (/.f64 (neg.f64 eps) (/.f64 eps x)) (/.f64 (/.f64 1 (neg.f64 (-.f64 (.f64 2 x) eps))) (/.f64 (-.f64 (*.f64 2 x) eps) x)))
(.f64 (/.f64 (neg.f64 eps) (/.f64 (-.f64 (.f64 2 x) eps) x)) (/.f64 (/.f64 1 (-.f64 (*.f64 2 x) eps)) (/.f64 (neg.f64 eps) x)))
(.f64 (/.f64 (neg.f64 eps) (/.f64 (-.f64 (.f64 2 x) eps) x)) (/.f64 (/.f64 1 (neg.f64 (-.f64 (*.f64 2 x) eps))) (/.f64 eps x)))
(.f64 (/.f64 (neg.f64 eps) -1) (/.f64 (/.f64 1 (-.f64 (.f64 2 x) eps)) (/.f64 eps (/.f64 (.f64 x x) (-.f64 (.f64 2 x) eps)))))
(.f64 (/.f64 (neg.f64 eps) -1) (/.f64 (/.f64 (/.f64 x eps) (/.f64 (-.f64 (.f64 2 x) eps) x)) (-.f64 (*.f64 2 x) eps)))
(.f64 (/.f64 (neg.f64 eps) (.f64 (/.f64 (neg.f64 eps) x) (-.f64 (.f64 2 x) eps))) (/.f64 (/.f64 1 (-.f64 (.f64 2 x) eps)) (/.f64 1 x)))
(.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (/.f64 1 x)) (/.f64 (/.f64 x eps) (-.f64 (*.f64 2 x) eps)))
(.f64 (/.f64 (/.f64 eps (-.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 eps 3))) (/.f64 eps x)) (/.f64 (+.f64 (.f64 4 (.f64 x x)) (.f64 eps (fma.f64 2 x eps))) (/.f64 (-.f64 (.f64 2 x) eps) x)))
(.f64 (/.f64 (/.f64 eps (-.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 eps 3))) (/.f64 (-.f64 (.f64 2 x) eps) x)) (/.f64 (+.f64 (.f64 4 (.f64 x x)) (.f64 eps (fma.f64 2 x eps))) (/.f64 eps x)))
(.f64 (/.f64 (/.f64 eps (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))) (/.f64 eps x)) (/.f64 (fma.f64 2 x eps) (/.f64 (-.f64 (*.f64 2 x) eps) x)))
(.f64 (/.f64 (/.f64 eps (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))) (/.f64 (-.f64 (*.f64 2 x) eps) x)) (/.f64 (fma.f64 2 x eps) (/.f64 eps x)))
(.f64 (/.f64 (/.f64 1 (-.f64 (.f64 2 x) eps)) (-.f64 (.f64 2 x) eps)) (/.f64 eps (.f64 (/.f64 1 x) (/.f64 eps x))))
(.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (-.f64 (*.f64 2 x) eps)) (/.f64 (/.f64 x eps) (/.f64 1 x)))
(.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (-.f64 (.f64 2 x) eps)) (/.f64 1 (.f64 (/.f64 1 x) (/.f64 eps x))))
(.f64 (/.f64 (/.f64 eps (-.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 eps 3))) (-.f64 (.f64 2 x) eps)) (/.f64 (+.f64 (.f64 4 (.f64 x x)) (.f64 eps (fma.f64 2 x eps))) (*.f64 (/.f64 1 x) (/.f64 eps x))))
(.f64 (/.f64 (/.f64 eps (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))) (-.f64 (.f64 2 x) eps)) (/.f64 (fma.f64 2 x eps) (.f64 (/.f64 1 x) (/.f64 eps x))))
(.f64 (/.f64 (/.f64 1 (-.f64 (.f64 2 x) eps)) eps) (/.f64 eps (.f64 (/.f64 1 x) (/.f64 (-.f64 (.f64 2 x) eps) x))))
(.f64 (/.f64 eps (.f64 eps (-.f64 (.f64 2 x) eps))) (/.f64 (/.f64 1 (-.f64 (.f64 2 x) eps)) (/.f64 1 (*.f64 x x))))
(.f64 (/.f64 (neg.f64 eps) eps) (/.f64 (/.f64 1 (neg.f64 (-.f64 (.f64 2 x) eps))) (.f64 (/.f64 1 x) (/.f64 (-.f64 (.f64 2 x) eps) x))))
(.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (neg.f64 (-.f64 (*.f64 2 x) eps))) (/.f64 (/.f64 x eps) (/.f64 1 (neg.f64 x))))
(.f64 (/.f64 (neg.f64 eps) (.f64 eps (-.f64 (.f64 2 x) eps))) (/.f64 (/.f64 1 (neg.f64 (-.f64 (.f64 2 x) eps))) (/.f64 1 (*.f64 x x))))
(.f64 (/.f64 (neg.f64 eps) (.f64 (-.f64 (.f64 2 x) eps) (/.f64 eps x))) (/.f64 (/.f64 1 (neg.f64 (-.f64 (.f64 2 x) eps))) (/.f64 1 x)))
(.f64 (/.f64 (/.f64 1 (-.f64 (.f64 2 x) eps)) (.f64 eps (-.f64 (.f64 2 x) eps))) (/.f64 eps (/.f64 1 (*.f64 x x))))
(.f64 (/.f64 (/.f64 1 (-.f64 (.f64 2 x) eps)) (.f64 (-.f64 (.f64 2 x) eps) (/.f64 eps x))) (/.f64 eps (/.f64 1 x)))
(.f64 (/.f64 (/.f64 eps (-.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 eps 3))) eps) (/.f64 (+.f64 (.f64 4 (.f64 x x)) (.f64 eps (fma.f64 2 x eps))) (.f64 (/.f64 1 x) (/.f64 (-.f64 (*.f64 2 x) eps) x))))
(.f64 (/.f64 (/.f64 eps (-.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 eps 3))) (.f64 eps (-.f64 (.f64 2 x) eps))) (/.f64 (+.f64 (.f64 4 (.f64 x x)) (.f64 eps (fma.f64 2 x eps))) (/.f64 1 (.f64 x x))))
(.f64 (/.f64 (/.f64 eps (-.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 eps 3))) (.f64 (-.f64 (.f64 2 x) eps) (/.f64 eps x))) (/.f64 (+.f64 (.f64 4 (.f64 x x)) (*.f64 eps (fma.f64 2 x eps))) (/.f64 1 x)))
(.f64 (/.f64 (/.f64 eps (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))) eps) (/.f64 (fma.f64 2 x eps) (.f64 (/.f64 1 x) (/.f64 (-.f64 (.f64 2 x) eps) x))))
(.f64 (/.f64 (/.f64 eps (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))) (.f64 eps (-.f64 (.f64 2 x) eps))) (/.f64 (fma.f64 2 x eps) (/.f64 1 (*.f64 x x))))
(.f64 (/.f64 (/.f64 eps (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))) (.f64 (-.f64 (.f64 2 x) eps) (/.f64 eps x))) (/.f64 (fma.f64 2 x eps) (/.f64 1 x)))
(.f64 (/.f64 -1 (/.f64 eps (/.f64 (.f64 x x) (-.f64 (.f64 2 x) eps)))) (/.f64 eps (neg.f64 (-.f64 (.f64 2 x) eps))))
(.f64 (/.f64 -1 (/.f64 eps x)) (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (/.f64 (neg.f64 (-.f64 (*.f64 2 x) eps)) x)))
(.f64 (/.f64 -1 (/.f64 (-.f64 (.f64 2 x) eps) x)) (/.f64 (/.f64 eps (-.f64 (*.f64 2 x) eps)) (/.f64 (neg.f64 eps) x)))
(.f64 (/.f64 -1 (.f64 (/.f64 (neg.f64 eps) x) (-.f64 (.f64 2 x) eps))) (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (/.f64 1 x)))
(.f64 (/.f64 (/.f64 eps eps) (-.f64 (.f64 2 x) eps)) (/.f64 (/.f64 (/.f64 1 (-.f64 (*.f64 2 x) eps)) (/.f64 1 x)) (/.f64 1 x)))
(.f64 (/.f64 (/.f64 eps eps) (neg.f64 (-.f64 (.f64 2 x) eps))) (/.f64 (/.f64 (/.f64 1 (-.f64 (*.f64 2 x) eps)) (/.f64 1 x)) (/.f64 1 (neg.f64 x))))
(.f64 (/.f64 (/.f64 eps eps) (/.f64 1 x)) (/.f64 (/.f64 (/.f64 1 (-.f64 (.f64 2 x) eps)) (/.f64 1 x)) (-.f64 (*.f64 2 x) eps)))
(.f64 (/.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) eps) (-.f64 (*.f64 2 x) eps)) (/.f64 x (/.f64 1 x)))
(.f64 (/.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) eps) (neg.f64 (-.f64 (*.f64 2 x) eps))) (/.f64 x (/.f64 1 (neg.f64 x))))
(.f64 (/.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) eps) 1) (/.f64 x (/.f64 (-.f64 (*.f64 2 x) eps) x)))
(.f64 (/.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (neg.f64 eps)) (-.f64 (*.f64 2 x) eps)) (/.f64 (neg.f64 x) (/.f64 1 x)))
(.f64 (/.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (neg.f64 eps)) (neg.f64 (-.f64 (*.f64 2 x) eps))) (/.f64 (neg.f64 x) (/.f64 1 (neg.f64 x))))
(.f64 (/.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (neg.f64 eps)) 1) (/.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 2 x) eps) x)))
(.f64 (/.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (neg.f64 eps)) (/.f64 1 x)) (/.f64 (neg.f64 x) (-.f64 (*.f64 2 x) eps)))
(.f64 (/.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) 1) (-.f64 (*.f64 2 x) eps)) (/.f64 (/.f64 x eps) (/.f64 1 x)))
(.f64 (/.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) 1) (neg.f64 (-.f64 (*.f64 2 x) eps))) (/.f64 (/.f64 x eps) (/.f64 1 (neg.f64 x))))
(.f64 (/.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) 1) 1) (/.f64 (/.f64 x eps) (/.f64 (-.f64 (*.f64 2 x) eps) x)))
(.f64 (/.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) 1) (/.f64 1 x)) (/.f64 (/.f64 x eps) (-.f64 (*.f64 2 x) eps)))
(.f64 (/.f64 (/.f64 1 (.f64 eps (-.f64 (.f64 2 x) eps))) (-.f64 (.f64 2 x) eps)) (/.f64 (*.f64 x x) (/.f64 1 eps)))
(.f64 (/.f64 (/.f64 1 (.f64 (-.f64 (.f64 2 x) eps) (/.f64 eps x))) (-.f64 (.f64 2 x) eps)) (/.f64 x (/.f64 1 eps)))
(pow.f64 (.f64 (/.f64 eps (/.f64 (.f64 x x) (-.f64 (.f64 2 x) eps))) (/.f64 (-.f64 (.f64 2 x) eps) eps)) -1)
(neg.f64 (.f64 (/.f64 x (-.f64 (.f64 2 x) eps)) (/.f64 (/.f64 eps (-.f64 (*.f64 2 x) eps)) (/.f64 (neg.f64 eps) x))))
(exp.f64 (log.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x)))))
(log.f64 (exp.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x)))))
(.f64 (sqrt.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))) (sqrt.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x)))))
(.f64 1 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))))
(pow.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x))) 1)
(.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))) (cbrt.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))))) (cbrt.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x)))))
(cbrt.f64 (.f64 (.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))) (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))) (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x)))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x)))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x)))))
(binary32->binary64 (binary64->binary32 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x)))))
(binary32->binary64 (binary64->binary32 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x)))))
(binary32->binary64 (/.f32 (/.f32 (binary64->binary32 eps) (-.f32 (.f32 2 (binary64->binary32 x)) (binary64->binary32 eps))) (.f32 (/.f32 (binary64->binary32 eps) (binary64->binary32 x)) (/.f32 (-.f32 (*.f32 2 (binary64->binary32 x)) (binary64->binary32 eps)) (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (*.f64 2 x) eps) x)))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (*.f64 2 x) eps) x)))
(binary32->binary64 (/.f32 (-.f32 (*.f32 2 (binary64->binary32 x)) (binary64->binary32 eps)) (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (/.f64 eps (-.f64 (*.f64 2 x) eps))))
(binary32->binary64 (binary64->binary32 (/.f64 eps (-.f64 (*.f64 2 x) eps))))
(binary32->binary64 (/.f32 (binary64->binary32 eps) (-.f32 (*.f32 2 (binary64->binary32 x)) (binary64->binary32 eps))))
(binary32->binary64 (binary64->binary32 (-.f64 (.f64 4 (+.f64 (/.f64 x (/.f64 eps 2)) -1)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x)))))
(binary32->binary64 (binary64->binary32 (-.f64 (.f64 4 (+.f64 (/.f64 x (/.f64 eps 2)) -1)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x)))))
(binary32->binary64 (-.f32 (.f32 4 (+.f32 (/.f32 (binary64->binary32 x) (/.f32 (binary64->binary32 eps) 2)) -1)) (.f32 (/.f32 (binary64->binary32 eps) (binary64->binary32 x)) (/.f32 (-.f32 (*.f32 2 (binary64->binary32 x)) (binary64->binary32 eps)) (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))))
(binary32->binary64 (binary64->binary32 (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))))
(binary32->binary64 (.f32 (/.f32 (binary64->binary32 eps) (binary64->binary32 x)) (/.f32 (-.f32 (.f32 2 (binary64->binary32 x)) (binary64->binary32 eps)) (binary64->binary32 x))))

Outputs
(.f64 2 (.f64 eps x))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (.f64 eps (-.f64 (.f64 -2 x) (*.f64 -4 x))) (pow.f64 eps 2))
(fma.f64 eps (.f64 2 x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(-.f64 (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 eps (-.f64 (.f64 -2 x) (.f64 -4 x))) (pow.f64 eps 2))) (+.f64 (.f64 -4 (.f64 x (-.f64 (.f64 -2 x) (.f64 -4 x)))) (*.f64 4 (pow.f64 x 2))))
(-.f64 (fma.f64 -4 (.f64 x x) (fma.f64 eps (.f64 2 x) (.f64 eps eps))) (fma.f64 -4 (.f64 x (.f64 2 x)) (.f64 (*.f64 x x) 4)))
(-.f64 (fma.f64 -4 (.f64 x x) (.f64 eps (fma.f64 2 x eps))) (fma.f64 -4 (.f64 x (.f64 2 x)) (.f64 (.f64 x x) 4)))
(-.f64 (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 eps (-.f64 (.f64 -2 x) (.f64 -4 x))) (pow.f64 eps 2)))) (+.f64 (.f64 -4 (.f64 x (-.f64 (.f64 -2 x) (.f64 -4 x)))) (+.f64 (.f64 -4 (/.f64 (.f64 x (-.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -4 (.f64 x (-.f64 (.f64 -2 x) (.f64 -4 x)))) (.f64 4 (pow.f64 x 2))))) eps)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 -2 x) (.f64 -4 x))) eps)) (.f64 4 (pow.f64 x 2))))))
(-.f64 (fma.f64 -4 (.f64 x x) (fma.f64 8 (/.f64 (pow.f64 x 3) eps) (fma.f64 eps (.f64 2 x) (.f64 eps eps)))) (fma.f64 -4 (.f64 x (.f64 2 x)) (fma.f64 -4 (/.f64 (.f64 x (-.f64 (.f64 -4 (.f64 x x)) (fma.f64 -4 (.f64 x (.f64 2 x)) (.f64 (.f64 x x) 4)))) eps) (.f64 4 (+.f64 (/.f64 (.f64 x x) (/.f64 eps (.f64 2 x))) (.f64 x x))))))
(-.f64 (fma.f64 -4 (.f64 x x) (fma.f64 8 (/.f64 (pow.f64 x 3) eps) (.f64 eps (fma.f64 2 x eps)))) (fma.f64 -4 (.f64 x (.f64 2 x)) (fma.f64 -4 (/.f64 x (/.f64 eps (+.f64 (.f64 -4 (-.f64 (.f64 x x) (.f64 x (.f64 2 x)))) (.f64 -4 (.f64 x x))))) (.f64 4 (+.f64 (.f64 x x) (/.f64 (.f64 x x) (/.f64 eps (.f64 2 x))))))))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (.f64 -1 (.f64 eps (-.f64 (.f64 2 x) (.f64 4 x)))) (pow.f64 eps 2))
(fma.f64 -1 (.f64 eps (.f64 x -2)) (*.f64 eps eps))
(-.f64 (.f64 eps eps) (.f64 eps (*.f64 x -2)))
(-.f64 (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 eps (-.f64 (.f64 2 x) (.f64 4 x)))) (pow.f64 eps 2))) (+.f64 (.f64 4 (.f64 x (-.f64 (.f64 2 x) (.f64 4 x)))) (.f64 4 (pow.f64 x 2))))
(-.f64 (fma.f64 -4 (.f64 x x) (fma.f64 -1 (.f64 eps (.f64 x -2)) (.f64 eps eps))) (.f64 4 (+.f64 (.f64 x (.f64 x -2)) (.f64 x x))))
(+.f64 (-.f64 (.f64 eps eps) (.f64 eps (.f64 x -2))) (fma.f64 -4 (.f64 x x) (.f64 -4 (.f64 x (+.f64 (*.f64 x -2) x)))))
(-.f64 (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 eps (-.f64 (.f64 2 x) (.f64 4 x)))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -8 (pow.f64 x 3)) (+.f64 (.f64 4 (.f64 x (-.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 4 (.f64 x (-.f64 (.f64 2 x) (.f64 4 x)))) (.f64 4 (pow.f64 x 2)))))) (.f64 4 (.f64 (pow.f64 x 2) (-.f64 (.f64 2 x) (.f64 4 x)))))) eps)) (pow.f64 eps 2)))) (+.f64 (.f64 4 (.f64 x (-.f64 (.f64 2 x) (.f64 4 x)))) (.f64 4 (pow.f64 x 2))))
(-.f64 (fma.f64 -4 (.f64 x x) (fma.f64 -1 (.f64 eps (.f64 x -2)) (fma.f64 -1 (/.f64 (-.f64 (.f64 (pow.f64 x 3) -8) (.f64 4 (+.f64 (.f64 x (-.f64 (.f64 -4 (.f64 x x)) (.f64 4 (+.f64 (.f64 x (.f64 x -2)) (.f64 x x))))) (.f64 (.f64 x x) (.f64 x -2))))) eps) (.f64 eps eps)))) (.f64 4 (+.f64 (.f64 x (.f64 x -2)) (.f64 x x))))
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(pow.f64 eps 2)
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(fma.f64 2 (.f64 eps x) (.f64 eps eps))
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(-.f64 (+.f64 (.f64 -1 (pow.f64 eps 2)) (.f64 2 (.f64 eps x))) (.f64 -2 (pow.f64 eps 2)))
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(fma.f64 -1 (/.f64 (-.f64 (.f64 (pow.f64 eps 3) 1) (pow.f64 eps 3)) x) (fma.f64 2 (.f64 eps x) (*.f64 eps eps)))
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(fma.f64 eps -4 (fma.f64 -2 (.f64 eps (/.f64 eps x)) (.f64 x 8)))
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(*.f64 8 x)
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(*.f64 8 x)
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1/4
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1/4
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1/4
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(.f64 eps (.f64 (/.f64 1 (.f64 eps (-.f64 (.f64 2 x) eps))) (.f64 (/.f64 x (-.f64 (.f64 2 x) eps)) x)))
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(.f64 (/.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) eps) (neg.f64 (-.f64 (*.f64 2 x) eps))) (/.f64 x (/.f64 1 (neg.f64 x))))
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(/.f64 (neg.f64 (/.f64 (.f64 x x) (neg.f64 (-.f64 (.f64 2 x) eps)))) (-.f64 (*.f64 2 x) eps))
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(.f64 (/.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (neg.f64 eps)) (neg.f64 (-.f64 (*.f64 2 x) eps))) (/.f64 (neg.f64 x) (/.f64 1 (neg.f64 x))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 x x) (neg.f64 (-.f64 (.f64 2 x) eps))))) (neg.f64 (-.f64 (*.f64 2 x) eps)))
(.f64 (/.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (neg.f64 eps)) 1) (/.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 2 x) eps) x)))
(-.f64 0 (/.f64 (.f64 1 (.f64 (/.f64 x (-.f64 (.f64 2 x) eps)) x)) (neg.f64 (-.f64 (.f64 2 x) eps))))
(.f64 (neg.f64 x) (/.f64 (/.f64 (neg.f64 x) (-.f64 (.f64 2 x) eps)) (-.f64 (*.f64 2 x) eps)))
(.f64 (/.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (neg.f64 eps)) (/.f64 1 x)) (/.f64 (neg.f64 x) (-.f64 (*.f64 2 x) eps)))
(-.f64 0 (/.f64 (.f64 1 (.f64 (/.f64 x (-.f64 (.f64 2 x) eps)) x)) (neg.f64 (-.f64 (.f64 2 x) eps))))
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(.f64 (/.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) 1) (neg.f64 (-.f64 (*.f64 2 x) eps))) (/.f64 (/.f64 x eps) (/.f64 1 (neg.f64 x))))
(/.f64 (.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 (/.f64 x eps) 1) (neg.f64 x))) (neg.f64 (-.f64 (.f64 2 x) eps)))
(.f64 (/.f64 eps (neg.f64 (.f64 (-.f64 (.f64 2 x) eps) (-.f64 (.f64 2 x) eps)))) (neg.f64 (*.f64 x (/.f64 x eps))))
(.f64 (/.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) 1) 1) (/.f64 (/.f64 x eps) (/.f64 (-.f64 (*.f64 2 x) eps) x)))
(.f64 eps (.f64 (/.f64 1 (.f64 eps (-.f64 (.f64 2 x) eps))) (.f64 (/.f64 x (-.f64 (.f64 2 x) eps)) x)))
(.f64 (/.f64 x (-.f64 (.f64 2 x) eps)) (/.f64 x (-.f64 (*.f64 2 x) eps)))
(.f64 (/.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) 1) (/.f64 1 x)) (/.f64 (/.f64 x eps) (-.f64 (*.f64 2 x) eps)))
(.f64 (.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) x) (/.f64 x (.f64 eps (-.f64 (*.f64 2 x) eps))))
(.f64 (/.f64 (/.f64 1 (.f64 eps (-.f64 (.f64 2 x) eps))) (-.f64 (.f64 2 x) eps)) (/.f64 (*.f64 x x) (/.f64 1 eps)))
(.f64 (/.f64 1 (.f64 (.f64 eps (-.f64 (.f64 2 x) eps)) (-.f64 (.f64 2 x) eps))) (.f64 (/.f64 (*.f64 x x) 1) eps))
(.f64 (/.f64 1 (.f64 (.f64 eps (-.f64 (.f64 2 x) eps)) (-.f64 (.f64 2 x) eps))) (.f64 (*.f64 x x) eps))
(.f64 (/.f64 (/.f64 1 (.f64 (-.f64 (.f64 2 x) eps) (/.f64 eps x))) (-.f64 (.f64 2 x) eps)) (/.f64 x (/.f64 1 eps)))
(.f64 eps (.f64 (/.f64 1 (.f64 eps (-.f64 (.f64 2 x) eps))) (.f64 (/.f64 x (-.f64 (.f64 2 x) eps)) x)))
(.f64 (/.f64 x (-.f64 (.f64 2 x) eps)) (/.f64 x (-.f64 (*.f64 2 x) eps)))
(pow.f64 (.f64 (/.f64 eps (/.f64 (.f64 x x) (-.f64 (.f64 2 x) eps))) (/.f64 (-.f64 (.f64 2 x) eps) eps)) -1)
(/.f64 1 (.f64 (.f64 (/.f64 eps (.f64 x x)) (-.f64 (.f64 2 x) eps)) (-.f64 (/.f64 (*.f64 2 x) eps) 1)))
(/.f64 (/.f64 (/.f64 x (-.f64 (.f64 2 x) eps)) (/.f64 eps x)) (+.f64 (/.f64 (.f64 2 x) eps) -1))
(neg.f64 (.f64 (/.f64 x (-.f64 (.f64 2 x) eps)) (/.f64 (/.f64 eps (-.f64 (*.f64 2 x) eps)) (/.f64 (neg.f64 eps) x))))
(-.f64 0 (/.f64 (.f64 1 (.f64 (/.f64 x (-.f64 (.f64 2 x) eps)) x)) (neg.f64 (-.f64 (.f64 2 x) eps))))
(.f64 (neg.f64 x) (/.f64 (/.f64 (neg.f64 x) (-.f64 (.f64 2 x) eps)) (-.f64 (*.f64 2 x) eps)))
(exp.f64 (log.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x)))))
(.f64 eps (.f64 (/.f64 1 (.f64 eps (-.f64 (.f64 2 x) eps))) (.f64 (/.f64 x (-.f64 (.f64 2 x) eps)) x)))
(.f64 (/.f64 x (-.f64 (.f64 2 x) eps)) (/.f64 x (-.f64 (*.f64 2 x) eps)))
(log.f64 (exp.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x)))))
(.f64 eps (.f64 (/.f64 1 (.f64 eps (-.f64 (.f64 2 x) eps))) (.f64 (/.f64 x (-.f64 (.f64 2 x) eps)) x)))
(.f64 (/.f64 x (-.f64 (.f64 2 x) eps)) (/.f64 x (-.f64 (*.f64 2 x) eps)))
(.f64 (sqrt.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))) (sqrt.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x)))))
(.f64 eps (.f64 (/.f64 1 (.f64 eps (-.f64 (.f64 2 x) eps))) (.f64 (/.f64 x (-.f64 (.f64 2 x) eps)) x)))
(.f64 (/.f64 x (-.f64 (.f64 2 x) eps)) (/.f64 x (-.f64 (*.f64 2 x) eps)))
(.f64 1 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))))
(.f64 eps (.f64 (/.f64 1 (.f64 eps (-.f64 (.f64 2 x) eps))) (.f64 (/.f64 x (-.f64 (.f64 2 x) eps)) x)))
(.f64 (/.f64 x (-.f64 (.f64 2 x) eps)) (/.f64 x (-.f64 (*.f64 2 x) eps)))
(pow.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x))) 1)
(.f64 eps (.f64 (/.f64 1 (.f64 eps (-.f64 (.f64 2 x) eps))) (.f64 (/.f64 x (-.f64 (.f64 2 x) eps)) x)))
(.f64 (/.f64 x (-.f64 (.f64 2 x) eps)) (/.f64 x (-.f64 (*.f64 2 x) eps)))
(.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))) (cbrt.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))))) (cbrt.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x)))))
(.f64 eps (.f64 (/.f64 1 (.f64 eps (-.f64 (.f64 2 x) eps))) (.f64 (/.f64 x (-.f64 (.f64 2 x) eps)) x)))
(.f64 (/.f64 x (-.f64 (.f64 2 x) eps)) (/.f64 x (-.f64 (*.f64 2 x) eps)))
(cbrt.f64 (.f64 (.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))) (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))) (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x)))))
(cbrt.f64 (.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))) (.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))) (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x))))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 x (-.f64 (.f64 2 x) eps)) (/.f64 x (-.f64 (*.f64 2 x) eps))) 3))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x)))))
(.f64 eps (.f64 (/.f64 1 (.f64 eps (-.f64 (.f64 2 x) eps))) (.f64 (/.f64 x (-.f64 (.f64 2 x) eps)) x)))
(.f64 (/.f64 x (-.f64 (.f64 2 x) eps)) (/.f64 x (-.f64 (*.f64 2 x) eps)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x)))))
(.f64 eps (.f64 (/.f64 1 (.f64 eps (-.f64 (.f64 2 x) eps))) (.f64 (/.f64 x (-.f64 (.f64 2 x) eps)) x)))
(.f64 (/.f64 x (-.f64 (.f64 2 x) eps)) (/.f64 x (-.f64 (*.f64 2 x) eps)))
(binary32->binary64 (binary64->binary32 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x)))))
(binary32->binary64 (binary64->binary32 (.f64 (/.f64 x (-.f64 (.f64 2 x) eps)) (/.f64 x (-.f64 (*.f64 2 x) eps)))))
(binary32->binary64 (binary64->binary32 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x)))))
(binary32->binary64 (binary64->binary32 (.f64 (/.f64 x (-.f64 (.f64 2 x) eps)) (/.f64 x (-.f64 (*.f64 2 x) eps)))))
(binary32->binary64 (/.f32 (/.f32 (binary64->binary32 eps) (-.f32 (.f32 2 (binary64->binary32 x)) (binary64->binary32 eps))) (.f32 (/.f32 (binary64->binary32 eps) (binary64->binary32 x)) (/.f32 (-.f32 (*.f32 2 (binary64->binary32 x)) (binary64->binary32 eps)) (binary64->binary32 x)))))
(binary32->binary64 (/.f32 (/.f32 (/.f32 (binary64->binary32 eps) (-.f32 (.f32 2 (binary64->binary32 x)) (binary64->binary32 eps))) (/.f32 (binary64->binary32 eps) (binary64->binary32 x))) (/.f32 (-.f32 (.f32 2 (binary64->binary32 x)) (binary64->binary32 eps)) (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (*.f64 2 x) eps) x)))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (*.f64 2 x) eps) x)))
(binary32->binary64 (/.f32 (-.f32 (*.f32 2 (binary64->binary32 x)) (binary64->binary32 eps)) (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (/.f64 eps (-.f64 (*.f64 2 x) eps))))
(binary32->binary64 (binary64->binary32 (/.f64 eps (-.f64 (*.f64 2 x) eps))))
(binary32->binary64 (/.f32 (binary64->binary32 eps) (-.f32 (*.f32 2 (binary64->binary32 x)) (binary64->binary32 eps))))
(binary32->binary64 (binary64->binary32 (-.f64 (.f64 4 (+.f64 (/.f64 x (/.f64 eps 2)) -1)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x)))))
(binary32->binary64 (binary64->binary32 (-.f64 (.f64 4 (+.f64 -1 (.f64 (/.f64 x eps) 2))) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))))
(binary32->binary64 (binary64->binary32 (fma.f64 4 (fma.f64 (/.f64 x eps) 2 -1) (.f64 (/.f64 eps x) (/.f64 (neg.f64 (-.f64 (.f64 2 x) eps)) x)))))
(binary32->binary64 (binary64->binary32 (-.f64 (.f64 4 (+.f64 (/.f64 x (/.f64 eps 2)) -1)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x)))))
(binary32->binary64 (binary64->binary32 (-.f64 (.f64 4 (+.f64 -1 (.f64 (/.f64 x eps) 2))) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))))
(binary32->binary64 (binary64->binary32 (fma.f64 4 (fma.f64 (/.f64 x eps) 2 -1) (.f64 (/.f64 eps x) (/.f64 (neg.f64 (-.f64 (.f64 2 x) eps)) x)))))
(binary32->binary64 (-.f32 (.f32 4 (+.f32 (/.f32 (binary64->binary32 x) (/.f32 (binary64->binary32 eps) 2)) -1)) (.f32 (/.f32 (binary64->binary32 eps) (binary64->binary32 x)) (/.f32 (-.f32 (*.f32 2 (binary64->binary32 x)) (binary64->binary32 eps)) (binary64->binary32 x)))))
(binary32->binary64 (-.f32 (+.f32 (.f32 4 (.f32 (/.f32 (binary64->binary32 x) (binary64->binary32 eps)) 2)) -4) (.f32 (/.f32 (binary64->binary32 eps) (binary64->binary32 x)) (/.f32 (-.f32 (.f32 2 (binary64->binary32 x)) (binary64->binary32 eps)) (binary64->binary32 x)))))
(binary32->binary64 (+.f32 (.f32 (/.f32 (binary64->binary32 x) (binary64->binary32 eps)) 8) (-.f32 -4 (.f32 (/.f32 (binary64->binary32 eps) (binary64->binary32 x)) (/.f32 (-.f32 (*.f32 2 (binary64->binary32 x)) (binary64->binary32 eps)) (binary64->binary32 x))))))
(binary32->binary64 (binary64->binary32 (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))))
(binary32->binary64 (binary64->binary32 (.f64 eps (/.f64 (/.f64 (-.f64 (.f64 2 x) eps) x) x))))
(binary32->binary64 (binary64->binary32 (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))))
(binary32->binary64 (binary64->binary32 (.f64 eps (/.f64 (/.f64 (-.f64 (.f64 2 x) eps) x) x))))
(binary32->binary64 (.f32 (/.f32 (binary64->binary32 eps) (binary64->binary32 x)) (/.f32 (-.f32 (.f32 2 (binary64->binary32 x)) (binary64->binary32 eps)) (binary64->binary32 x))))

eval467.0ms (6.9%)

Compiler: Compiled 26507 to 15237 computations (42.5% saved)

prune98.0ms (1.4%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	485	1	486
Fresh	0	3	3
Picked	1	0	1
Done	0	5	5
Total	486	9	495

Accuracy

100.0%

Counts

495 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.7%	(/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 4 (/.f64 (-.f64 (.f64 2 x) eps) eps))) (.f64 (.f64 eps eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))) (.f64 (/.f64 (-.f64 (.f64 2 x) eps) eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))))
✓	100.0%	(+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))
	83.7%	(.f64 (.f64 (/.f64 x (-.f64 (.f64 2 x) eps)) (/.f64 x (-.f64 (.f64 2 x) eps))) (.f64 eps (.f64 eps (-.f64 (.f64 4 (+.f64 (/.f64 x (/.f64 eps 2)) -1)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x))))))
✓	63.6%	(*.f64 eps (+.f64 x x))
✓	100.0%	(*.f64 eps (+.f64 eps (+.f64 x x)))
✓	74.8%	(*.f64 eps eps)
	4.3%	1/4
	39.9%	0
	2.9%	-1

Compiler

Compiled 325 to 188 computations (42.2% saved)

regimes80.0ms (1.2%)

Counts

13 → 1

Calls

Call 1

Inputs
-1
0
1/4
(*.f64 eps eps)
(*.f64 eps (+.f64 x x))
(*.f64 eps (+.f64 eps (+.f64 x x)))
(+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))
(.f64 (.f64 (/.f64 x (-.f64 (.f64 2 x) eps)) (/.f64 x (-.f64 (.f64 2 x) eps))) (.f64 eps (.f64 eps (-.f64 (.f64 4 (+.f64 (/.f64 x (/.f64 eps 2)) -1)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x))))))
(.f64 (/.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))) (.f64 eps (.f64 eps (-.f64 (.f64 4 (+.f64 (/.f64 x (/.f64 eps 2)) -1)) (.f64 (/.f64 eps x) (/.f64 (-.f64 (*.f64 2 x) eps) x))))))
(/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 4 (/.f64 (-.f64 (.f64 2 x) eps) eps))) (.f64 (.f64 eps eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x)))) (.f64 (/.f64 (-.f64 (.f64 2 x) eps) eps) (.f64 (/.f64 eps x) (/.f64 (-.f64 (.f64 2 x) eps) x))))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))

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

Calls

3 calls:

65.0ms	eps
7.0ms	x
3.0ms	(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`eps`
100.0%	1	`(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))`

Compiler

Compiled 207 to 115 computations (44.4% saved)

regimes49.0ms (0.7%)

Counts

5 → 3

Calls

Call 1

Inputs
-1
0
1/4
(*.f64 eps eps)
(*.f64 eps (+.f64 x x))

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

Calls

2 calls:

34.0ms	eps
14.0ms	x

Results

Accuracy	Segments	Branch
93.2%	3	`x`
87.9%	3	`eps`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes9.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
-1
0
1/4
(*.f64 eps eps)

Outputs
(*.f64 eps eps)

Calls

2 calls:

4.0ms	eps
4.0ms	x

Results

Accuracy	Segments	Branch
74.8%	1	`eps`
74.8%	1	`x`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes9.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
-1
0
1/4

Outputs
0

Calls

2 calls:

5.0ms	x
3.0ms	eps

Results

Accuracy	Segments	Branch
39.9%	1	`eps`
39.9%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes8.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
-1

Outputs
-1

Calls

2 calls:

4.0ms	x
3.0ms	eps

Results

Accuracy	Segments	Branch
2.9%	1	`x`
2.9%	1	`eps`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch31.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	2.4875078791482715e-130	4.393342404766579e-126
9.0ms	-5.807468480624085e-127	-2.9218056000603458e-127

Results

29.0ms

192×

body

256

valid

Compiler

Compiled 184 to 120 computations (34.8% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	73
1	28	73

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 eps (+.f64 eps (+.f64 x x)))
(if (<=.f64 x -6828824953816233/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696) (.f64 eps (+.f64 x x)) (if (<=.f64 x 6554452522636117/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712) (.f64 eps eps) (*.f64 eps (+.f64 x x))))
(*.f64 eps eps)
0
-1

Outputs
(*.f64 eps (+.f64 eps (+.f64 x x)))
(if (<=.f64 x -6828824953816233/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696) (.f64 eps (+.f64 x x)) (if (<=.f64 x 6554452522636117/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712) (.f64 eps eps) (*.f64 eps (+.f64 x x))))
(if (or (<=.f64 x -6828824953816233/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696) (not (<=.f64 x 6554452522636117/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712))) (.f64 eps (+.f64 x x)) (.f64 eps eps))
(*.f64 eps eps)
0
-1

Compiler

Compiled 39 to 26 computations (33.3% saved)

soundness545.0ms (8%)

Rules

1536×	`frac-times`
1536×	`frac-times`
1122×	`fma-def`
844×	`distribute-lft-neg-in`
844×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	141
1	63	125
2	238	125
3	715	95
4	3652	95
0	12	57
1	75	57
2	713	57
0	12	57
1	75	57
2	713	57
0	119	2585
1	218	2063
2	828	1757
3	2717	1757
4	4614	1757
0	119	2585
1	218	2063
2	828	1757
3	2717	1757
4	4614	1757

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 212 to 63 computations (70.3% saved)

end0.0ms (0%)

preprocess46.0ms (0.7%)

Compiler: Compiled 84 to 48 computations (42.9% saved)

analyze0.0ms (0%)

sample1.7s (25.6%)

preprocess130.0ms (1.9%)

eval1.0ms (0%)

prune16.0ms (0.2%)

localize104.0ms (1.5%)

series8.0ms (0.1%)

rewrite109.0ms (1.6%)

simplify127.0ms (1.9%)

eval12.0ms (0.2%)

prune51.0ms (0.7%)

localize42.0ms (0.6%)

series2.0ms (0%)

rewrite179.0ms (2.6%)

simplify255.0ms (3.8%)

eval401.0ms (5.9%)

prune121.0ms (1.8%)

localize369.0ms (5.4%)

series166.0ms (2.4%)

rewrite140.0ms (2.1%)

simplify216.0ms (3.2%)

eval399.0ms (5.9%)

prune117.0ms (1.7%)

localize244.0ms (3.6%)

series12.0ms (0.2%)

rewrite170.0ms (2.5%)

simplify295.0ms (4.4%)

eval467.0ms (6.9%)

prune98.0ms (1.4%)

regimes80.0ms (1.2%)

regimes49.0ms (0.7%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch31.0ms (0.5%)

simplify10.0ms (0.1%)

soundness545.0ms (8%)

end0.0ms (0%)

preprocess46.0ms (0.7%)

Profiling