Details

analyze189.0ms (1.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	87.4%	0.1%	12.5%	0%	0%	6
25.5%	20.3%	59.3%	0.1%	18.7%	0%	1.6%	7
29%	21.1%	51.5%	0.1%	25%	0%	2.3%	8
53.8%	35.5%	30.4%	0.1%	28.1%	0%	5.9%	9
57.7%	35.7%	26.1%	0.1%	31.2%	0%	6.8%	10
73.5%	42.8%	15.4%	0.1%	32.8%	0%	8.9%	11
76.5%	42.9%	13.2%	0.1%	34.3%	0%	9.5%	12

Compiler

Compiled 32 to 26 computations (18.8% saved)

sample3.4s (26.8%)

Results

1.4s	2104×	body	1024	valid
1.2s	4886×	body	256	valid
383.0ms	1035×	body	512	valid
266.0ms	231×	body	2048	valid
91.0ms	498×	body	256	infinite
61.0ms	396×	body	256	unsamplable
13.0ms	24×	body	1024	infinite
3.0ms	11×	body	512	infinite

Bogosity

preprocess64.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

572×	`associate-*l/_binary64`
464×	`associate-/l/_binary64`
345×	`associate-/r/_binary64`
239×	`fma-def_binary64`
238×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	90
1	103	90
2	299	74
3	1028	74
4	3311	74
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

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

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

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

Compiler

Compiled 33 to 27 computations (18.2% saved)

simplify46.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

750×	`times-frac_binary64`
534×	`cancel-sign-sub-inv_binary64`
519×	`fma-neg_binary64`
479×	`associate-/l*_binary64`
366×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	45
1	57	45
2	159	37
3	541	37
4	1697	37

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

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

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

eval3.0ms (0%)

Compiler: Compiled 164 to 118 computations (28% saved)

prune4.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	2	4	6
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	4	7

Error

31.7b

Counts

7 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	44.3b	(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
▶	31.9b	(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
▶	45.5b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (neg.f64 (+.f64 1 eps))) x))) 2)
▶	31.7b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))) 2)

Compiler

Compiled 116 to 89 computations (23.3% saved)

localize80.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 1 eps) (neg.f64 x))
✓	0.0b	(.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))
✓	0.0b	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x))))
✓	2.4b	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x)))))

Compiler

Compiled 136 to 92 computations (32.4% saved)

series18.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite151.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

866×	`fma-def_binary64`
347×	`fma-neg_binary64`
329×	`expm1-udef_binary64`
328×	`log1p-udef_binary64`
204×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	91
1	403	78
2	5744	67

Stop Event

1×	node limit

Counts

4 → 279

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (.f64 (.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (fma.f64 (.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))) 1 (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) (cbrt.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 2)) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (+.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))) (pow.f64 (cbrt.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))) 2) (cbrt.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 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(2) ((x fma.f64 x -1 (.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x eps))))))

simplify285.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

711×	`times-frac_binary64`
705×	`fma-neg_binary64`
329×	`associate-r_binary64`
326×	`fma-def_binary64`
305×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	672	14734
1	1809	13674
2	6190	13512

Stop Event

1×	node limit

Counts

375 → 485

Calls

Call 1

Inputs
(-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (exp.f64 (.f64 -1 x))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (.f64 -1 x)))))
(-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (+.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))) (.f64 -1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3)))))))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/120 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 5))) (.f64 1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (.f64 -1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4))) (.f64 -1/120 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))) (.f64 -1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))))))))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (.f64 -1 x)))))
(-.f64 (+.f64 (.f64 (pow.f64 eps 6) (-.f64 (+.f64 (.f64 1/5040 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 7))) (.f64 1/720 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 6)))) (+.f64 (.f64 -1/720 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 6))) (.f64 -1/5040 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 7)))))) (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/120 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 5))) (.f64 1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (.f64 -1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4))) (.f64 -1/120 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))) (.f64 -1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3)))))))))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x))) eps) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x))) eps) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x))) eps) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))) (.f64 -1 (exp.f64 (.f64 -1 (.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (.f64 -1 (exp.f64 (.f64 -1 (.f64 (-.f64 1 (.f64 -1 eps)) x))))) eps))) (.f64 -1 (exp.f64 (.f64 -1 (.f64 (-.f64 1 (.f64 -1 eps)) x)))))
(-.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (.f64 -1 (exp.f64 (.f64 -1 (.f64 (-.f64 1 (.f64 -1 eps)) x))))) eps))) (.f64 -1 (exp.f64 (.f64 -1 (.f64 (-.f64 1 (.f64 -1 eps)) x)))))
(-.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (.f64 -1 (exp.f64 (.f64 -1 (.f64 (-.f64 1 (.f64 -1 eps)) x))))) eps))) (.f64 -1 (exp.f64 (.f64 -1 (.f64 (-.f64 1 (.f64 -1 eps)) x)))))
2
(+.f64 (.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) 2)
(+.f64 (.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (.f64 -1 (.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (+.f64 2 (.f64 (-.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 2))) (.f64 1/2 (.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 2))))
(+.f64 (.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (.f64 -1 (.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (+.f64 2 (+.f64 (.f64 (pow.f64 x 3) (-.f64 (.f64 -1/6 (.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 3))) (.f64 -1/6 (.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 3))))) (.f64 (-.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 2))) (.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 2)))))
(-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)))) (.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)))) (.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)))) (.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)))) (.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)))) (.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)))) (.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)))) (.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)))) (.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(/.f64 (exp.f64 (*.f64 -1 x)) eps)
(+.f64 (/.f64 (exp.f64 (.f64 -1 x)) eps) (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (exp.f64 (.f64 -1 x))))
(+.f64 (/.f64 (exp.f64 (.f64 -1 x)) eps) (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (+.f64 (exp.f64 (.f64 -1 x)) (.f64 eps (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))))))))
(+.f64 (/.f64 (exp.f64 (.f64 -1 x)) eps) (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (+.f64 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))))) (+.f64 (exp.f64 (.f64 -1 x)) (.f64 eps (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (.f64 1/2 (.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))))))
(exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)))
(+.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) eps))
(+.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) eps))
(+.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) eps))
(exp.f64 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(+.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))) (/.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))) eps))
(+.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))) (/.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))) eps))
(+.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))) (/.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))) eps))
(+.f64 (/.f64 1 eps) 1)
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) 1))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) (+.f64 1 (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))))))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))) (.f64 -1/6 (.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3))))))))
(.f64 (exp.f64 (.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) 1))
(.f64 (exp.f64 (.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) 1))
(.f64 (exp.f64 (.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) 1))
(.f64 (exp.f64 (.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) 1))
(.f64 (exp.f64 (.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) 1))
(.f64 (exp.f64 (.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) 1))
(.f64 (exp.f64 (.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) 1))
(.f64 (exp.f64 (.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) 1))
(/.f64 (exp.f64 (*.f64 -1 x)) eps)
(+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (+.f64 (/.f64 (exp.f64 (.f64 -1 x)) eps) (.f64 -1 (exp.f64 (.f64 -1 x)))))
(+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (+.f64 (/.f64 (exp.f64 (.f64 -1 x)) eps) (+.f64 (.f64 -1 (exp.f64 (.f64 -1 x))) (.f64 eps (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))))))))
(+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (+.f64 (/.f64 (exp.f64 (.f64 -1 x)) eps) (+.f64 (.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))) (.f64 -1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))))) (+.f64 (.f64 -1 (exp.f64 (.f64 -1 x))) (.f64 eps (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (.f64 1/2 (.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))))))
(.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x))))
(+.f64 (/.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x))) eps) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(+.f64 (/.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x))) eps) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(+.f64 (/.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x))) eps) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(.f64 -1 (exp.f64 (.f64 -1 (.f64 (-.f64 1 (.f64 -1 eps)) x))))
(+.f64 (.f64 -1 (exp.f64 (.f64 -1 (.f64 (-.f64 1 (.f64 -1 eps)) x)))) (/.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 (*.f64 -1 eps)) x))) eps))
(+.f64 (.f64 -1 (exp.f64 (.f64 -1 (.f64 (-.f64 1 (.f64 -1 eps)) x)))) (/.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 (*.f64 -1 eps)) x))) eps))
(+.f64 (.f64 -1 (exp.f64 (.f64 -1 (.f64 (-.f64 1 (.f64 -1 eps)) x)))) (/.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 (*.f64 -1 eps)) x))) eps))
(-.f64 (/.f64 1 eps) 1)
(-.f64 (+.f64 (/.f64 1 eps) (.f64 -1 (.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))) 1)
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(pow.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3) 1/3)
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(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
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(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 1 eps)))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 1 eps)))
(+.f64 (neg.f64 (exp.f64 (fma.f64 eps x x))) (*.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))))
(+.f64 (*.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))) (neg.f64 (exp.f64 (fma.f64 eps x x))))
(+.f64 (.f64 (exp.f64 (fma.f64 eps x x)) (/.f64 1 eps)) (.f64 (exp.f64 (fma.f64 eps x x)) -1))
(+.f64 (.f64 (exp.f64 (fma.f64 eps x x)) -1) (.f64 (exp.f64 (fma.f64 eps x x)) (/.f64 1 eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) 1)
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps -3)) (exp.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (pow.f64 eps -2) 1) (/.f64 -1 eps)))
(/.f64 (*.f64 (+.f64 (pow.f64 eps -2) -1) (exp.f64 (fma.f64 eps x x))) (+.f64 1 (/.f64 1 eps)))
(/.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 -1 (pow.f64 eps -3))) (-.f64 (+.f64 (pow.f64 eps -2) 1) (/.f64 -1 eps)))
(/.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (pow.f64 eps -2) -1)) (+.f64 1 (/.f64 1 eps)))
(pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) 2)
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 2))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 1 eps) -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(exp.f64 (+.f64 (fma.f64 eps x x) (log.f64 (+.f64 (/.f64 1 eps) -1))))
(exp.f64 (*.f64 (+.f64 (fma.f64 eps x x) (log.f64 (+.f64 (/.f64 1 eps) -1))) 1))
(fma.f64 1 (neg.f64 (exp.f64 (fma.f64 eps x x))) (*.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))))
(fma.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x)) (neg.f64 (exp.f64 (fma.f64 eps x x))))
(fma.f64 -1 (exp.f64 (fma.f64 eps x x)) (*.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))))
(fma.f64 (exp.f64 (fma.f64 eps x x)) (/.f64 1 eps) (*.f64 (exp.f64 (fma.f64 eps x x)) -1))
(fma.f64 (exp.f64 (fma.f64 eps x x)) -1 (*.f64 (exp.f64 (fma.f64 eps x x)) (/.f64 1 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (*.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))))
(fma.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (neg.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (*.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))))
(fma.f64 (.f64 (cbrt.f64 (neg.f64 (exp.f64 (fma.f64 eps x x)))) (cbrt.f64 (neg.f64 (exp.f64 (fma.f64 eps x x))))) (cbrt.f64 (neg.f64 (exp.f64 (fma.f64 eps x x)))) (.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))))
(fma.f64 (sqrt.f64 (neg.f64 (exp.f64 (fma.f64 eps x x)))) (sqrt.f64 (neg.f64 (exp.f64 (fma.f64 eps x x)))) (*.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))))
(fma.f64 (neg.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (*.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (*.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))))
(+.f64 x (*.f64 eps x))
(+.f64 x (*.f64 x eps))
(+.f64 0 (fma.f64 eps x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 x eps) x)
(-.f64 0 (fma.f64 eps x x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps x x))) 1)
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (fma.f64 eps (-.f64 eps 1) 1))
(/.f64 (.f64 (-.f64 1 (.f64 eps eps)) x) (-.f64 1 eps))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps (-.f64 eps 1) 1))
(/.f64 (.f64 x (-.f64 1 (.f64 eps eps))) (-.f64 1 eps))
(pow.f64 (fma.f64 eps x x) 1)
(pow.f64 (pow.f64 (fma.f64 eps x x) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 eps x x)) 3)
(pow.f64 (sqrt.f64 (fma.f64 eps x x)) 2)
(neg.f64 (fma.f64 eps x x))
(sqrt.f64 (pow.f64 (fma.f64 eps x x) 2))
(log.f64 (exp.f64 (fma.f64 eps x x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps x x))))
(cbrt.f64 (pow.f64 (fma.f64 eps x x) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (fma.f64 eps x x)))
(log1p.f64 (expm1.f64 (fma.f64 eps x x)))
(exp.f64 (log.f64 (fma.f64 eps x x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps x x)) 1))
(fma.f64 1 x (*.f64 eps x))
(fma.f64 1 x (*.f64 x eps))
(fma.f64 eps x x)
(fma.f64 x 1 (*.f64 eps x))
(fma.f64 x 1 (*.f64 x eps))
(fma.f64 x eps x)
(fma.f64 x -1 (*.f64 eps x))
(fma.f64 x -1 (*.f64 x eps))
(fma.f64 -1 x (*.f64 eps x))
(fma.f64 -1 x (*.f64 x eps))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 eps x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x eps))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 eps x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x eps))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 eps x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 x eps))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 eps x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x eps))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 eps x))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 x eps))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 eps x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x eps))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 eps x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x eps))
(fma.f64 (.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 eps x))
(fma.f64 (.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x eps))
(fma.f64 (.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (.f64 eps x))
(fma.f64 (.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x eps))

Outputs
(-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (exp.f64 (.f64 -1 x))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (.f64 -1 x)))))
(-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(-.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) (.f64 1 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (+.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))) (.f64 -1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3)))))))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (.f64 (.f64 eps eps) (-.f64 (fma.f64 1/6 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (.f64 1/2 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)))) (fma.f64 -1/2 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)) (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (.f64 eps eps) (-.f64 (fma.f64 1/6 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (.f64 (exp.f64 (neg.f64 x)) (.f64 (.f64 x x) 1/2))) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6 (.f64 (exp.f64 (neg.f64 x)) (.f64 (.f64 x x) -1/2)))) (exp.f64 (neg.f64 x))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))))
(+.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (fma.f64 eps (.f64 eps (-.f64 (fma.f64 1/6 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (.f64 (exp.f64 (neg.f64 x)) (.f64 (.f64 x x) 1/2))) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6 (.f64 (exp.f64 (neg.f64 x)) (.f64 (.f64 x x) -1/2))))) (.f64 1 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))))
(-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/120 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 5))) (.f64 1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (.f64 -1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4))) (.f64 -1/120 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))) (.f64 -1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))))))))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (.f64 -1 x)))))
(-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 (-.f64 (fma.f64 1/120 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (.f64 1/24 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (fma.f64 -1/24 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) -1/120))) (pow.f64 eps 4) (+.f64 (exp.f64 (neg.f64 x)) (.f64 (.f64 eps eps) (-.f64 (fma.f64 1/6 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (.f64 1/2 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)))) (fma.f64 -1/2 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)) (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))))))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(-.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (fma.f64 (fma.f64 1/120 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (-.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 4) 1/24)) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) -1/24 (.f64 (.f64 -1/120 (pow.f64 x 5)) (exp.f64 (neg.f64 x)))))) (pow.f64 eps 4) (fma.f64 (.f64 eps eps) (-.f64 (fma.f64 1/6 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (.f64 (exp.f64 (neg.f64 x)) (.f64 (.f64 x x) 1/2))) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6 (.f64 (exp.f64 (neg.f64 x)) (.f64 (.f64 x x) -1/2)))) (exp.f64 (neg.f64 x))))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (.f64 (pow.f64 eps 6) (-.f64 (+.f64 (.f64 1/5040 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 7))) (.f64 1/720 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 6)))) (+.f64 (.f64 -1/720 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 6))) (.f64 -1/5040 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 7)))))) (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/120 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 5))) (.f64 1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (.f64 -1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4))) (.f64 -1/120 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))) (.f64 -1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3)))))))))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (fma.f64 (pow.f64 eps 6) (-.f64 (fma.f64 1/5040 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) (.f64 1/720 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)))) (fma.f64 -1/720 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) -1/5040))) (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 (-.f64 (fma.f64 1/120 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (.f64 1/24 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (fma.f64 -1/24 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) -1/120))) (pow.f64 eps 4) (+.f64 (exp.f64 (neg.f64 x)) (.f64 (.f64 eps eps) (-.f64 (fma.f64 1/6 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (.f64 1/2 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)))) (fma.f64 -1/2 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)) (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6)))))))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(-.f64 (fma.f64 (pow.f64 eps 6) (-.f64 (fma.f64 1/720 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 7) 1/5040))) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) -1/720 (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 7) -1/5040)))) (fma.f64 x (exp.f64 (neg.f64 x)) (fma.f64 (fma.f64 1/120 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (-.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 4) 1/24)) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) -1/24 (.f64 (.f64 -1/120 (pow.f64 x 5)) (exp.f64 (neg.f64 x)))))) (pow.f64 eps 4) (fma.f64 (.f64 eps eps) (-.f64 (fma.f64 1/6 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (.f64 (exp.f64 (neg.f64 x)) (.f64 (.f64 x x) 1/2))) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6 (.f64 (exp.f64 (neg.f64 x)) (.f64 (.f64 x x) -1/2)))) (exp.f64 (neg.f64 x)))))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(+.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(-.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x))) eps) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (+.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (/.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) eps)) (+.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps)))
(+.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (+.f64 1 (pow.f64 eps -1))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps)) (exp.f64 (neg.f64 (fma.f64 x eps x))))
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(*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
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(*.f64 (+.f64 1 (pow.f64 eps -1)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
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(*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(*.f64 (+.f64 1 (pow.f64 eps -1)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(*.f64 (+.f64 1 (pow.f64 eps -1)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
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(*.f64 (+.f64 1 (pow.f64 eps -1)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
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(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
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(/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps))) (+.f64 1 (pow.f64 eps -3))))
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(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
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(pow.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3) 1/3)
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
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(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
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(exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (pow.f64 eps -1))))
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(fma.f64 x eps x)
(fma.f64 1 x (*.f64 eps x))
(fma.f64 x eps x)
(fma.f64 1 x (*.f64 x eps))
(fma.f64 x eps x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(fma.f64 x 1 (*.f64 eps x))
(fma.f64 x eps x)
(fma.f64 x 1 (*.f64 x eps))
(fma.f64 x eps x)
(fma.f64 x eps x)
(fma.f64 x -1 (*.f64 eps x))
(fma.f64 -1 x (*.f64 x eps))
(*.f64 x (+.f64 -1 eps))
(fma.f64 x -1 (*.f64 x eps))
(fma.f64 -1 x (*.f64 x eps))
(*.f64 x (+.f64 -1 eps))
(fma.f64 -1 x (*.f64 eps x))
(fma.f64 -1 x (*.f64 x eps))
(*.f64 x (+.f64 -1 eps))
(fma.f64 -1 x (*.f64 x eps))
(*.f64 x (+.f64 -1 eps))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 eps x))
(fma.f64 x eps x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x eps))
(fma.f64 x eps x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 eps x))
(fma.f64 x eps x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x eps))
(fma.f64 x eps x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 eps x))
(fma.f64 -1 x (*.f64 x eps))
(*.f64 x (+.f64 -1 eps))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 x eps))
(fma.f64 -1 x (*.f64 x eps))
(*.f64 x (+.f64 -1 eps))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 eps x))
(fma.f64 x eps x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x eps))
(fma.f64 x eps x)
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 eps x))
(fma.f64 -1 x (*.f64 x eps))
(*.f64 x (+.f64 -1 eps))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 x eps))
(fma.f64 -1 x (*.f64 x eps))
(*.f64 x (+.f64 -1 eps))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 eps x))
(fma.f64 -1 x (*.f64 x eps))
(*.f64 x (+.f64 -1 eps))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x eps))
(fma.f64 -1 x (*.f64 x eps))
(*.f64 x (+.f64 -1 eps))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 eps x))
(fma.f64 -1 x (*.f64 x eps))
(*.f64 x (+.f64 -1 eps))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x eps))
(fma.f64 -1 x (*.f64 x eps))
(*.f64 x (+.f64 -1 eps))
(fma.f64 (.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 eps x))
(fma.f64 -1 x (*.f64 x eps))
(*.f64 x (+.f64 -1 eps))
(fma.f64 (.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x eps))
(fma.f64 -1 x (*.f64 x eps))
(*.f64 x (+.f64 -1 eps))
(fma.f64 (.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (.f64 eps x))
(fma.f64 -1 x (*.f64 x eps))
(*.f64 x (+.f64 -1 eps))
(fma.f64 (.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x eps))
(fma.f64 -1 x (*.f64 x eps))
(*.f64 x (+.f64 -1 eps))

localize58.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (neg.f64 (+.f64 1 eps))) x))
✓	0.3b	(pow.f64 (exp.f64 (neg.f64 (+.f64 1 eps))) x)
✓	0.3b	(pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))
✓	2.7b	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (neg.f64 (+.f64 1 eps))) x)))

Compiler

Compiled 137 to 100 computations (27% saved)

series140.0ms (1.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
45.0ms	eps	@	inf	(pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))
31.0ms	eps	@	inf	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (neg.f64 (+.f64 1 eps))) x)))
24.0ms	eps	@	-inf	(pow.f64 (exp.f64 (neg.f64 (+.f64 1 eps))) x)
14.0ms	eps	@	inf	(pow.f64 (exp.f64 (neg.f64 (+.f64 1 eps))) x)
8.0ms	eps	@	-inf	(pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))

rewrite113.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

872×	`fma-def_binary64`
366×	`fma-neg_binary64`
334×	`expm1-udef_binary64`
333×	`log1p-udef_binary64`
218×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	84
1	432	72
2	6176	69

Stop Event

1×	node limit

Counts

4 → 227

Calls

Call 1

Inputs
(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (neg.f64 (+.f64 1 eps))) x)))
(pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))
(pow.f64 (exp.f64 (neg.f64 (+.f64 1 eps))) x)
(*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (neg.f64 (+.f64 1 eps))) x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (.f64 (.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (fma.f64 (.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps))) 1 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))) (pow.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) 2) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (.f64 (fma.f64 (pow.f64 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eps)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) 2)) (/.f64 1 (fma.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (fma.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 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(neg.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) (+.f64 x x)))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))))))

simplify198.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

668×	`fma-neg_binary64`
359×	`associate-r_binary64`
336×	`fma-def_binary64`
304×	`times-frac_binary64`
300×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	612	15112
1	1673	13613
2	5747	13596

Stop Event

1×	node limit

Counts

323 → 423

Calls

Call 1

Inputs
(-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (exp.f64 (.f64 -1 x))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (.f64 -1 x)))))
(-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (+.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))) (.f64 -1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3)))))))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/120 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 5))) (.f64 1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (.f64 -1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4))) (.f64 -1/120 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))) (.f64 -1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))))))))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (.f64 -1 x)))))
(-.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/5040 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 7))) (.f64 1/720 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 6)))) (+.f64 (.f64 -1/5040 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 7))) (.f64 -1/720 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 6))))) (pow.f64 eps 6)) (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/120 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 5))) (.f64 1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (.f64 -1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4))) (.f64 -1/120 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))) (.f64 -1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3)))))))))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x))) eps) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x))) eps) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x))) eps) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))) (.f64 -1 (exp.f64 (.f64 (-.f64 (.f64 -1 eps) 1) x))))
(-.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (.f64 -1 (exp.f64 (.f64 (-.f64 (.f64 -1 eps) 1) x)))) eps))) (.f64 -1 (exp.f64 (.f64 (-.f64 (.f64 -1 eps) 1) x))))
(-.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (.f64 -1 (exp.f64 (.f64 (-.f64 (.f64 -1 eps) 1) x)))) eps))) (.f64 -1 (exp.f64 (.f64 (-.f64 (.f64 -1 eps) 1) x))))
(-.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (.f64 -1 (exp.f64 (.f64 (-.f64 (.f64 -1 eps) 1) x)))) eps))) (.f64 -1 (exp.f64 (.f64 (-.f64 (.f64 -1 eps) 1) x))))
2
(+.f64 (.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) 2)
(+.f64 (.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (.f64 -1 (.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (+.f64 2 (.f64 (-.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 2))) (.f64 1/2 (.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 2))))
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1
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1
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(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) 2)) (cbrt.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(fma.f64 (*.f64 (-.f64 1 (/.f64 1 eps)) 1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(fma.f64 (*.f64 (-.f64 1 (/.f64 1 eps)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) (+.f64 x x)))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(fma.f64 (*.f64 (-.f64 1 (/.f64 1 eps)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(fma.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (cbrt.f64 (exp.f64 (.f64 (-.f64 1 eps) x))) 2)) (cbrt.f64 (exp.f64 (.f64 (-.f64 1 eps) x))) (.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps))))
(fma.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (cbrt.f64 (exp.f64 (.f64 (-.f64 1 eps) x))) 2)) (cbrt.f64 (exp.f64 (.f64 (-.f64 1 eps) x))) (.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps))) 1))
(fma.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (cbrt.f64 (exp.f64 (.f64 (-.f64 1 eps) x))) 2)) (cbrt.f64 (exp.f64 (.f64 (-.f64 1 eps) x))) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))))
(fma.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (cbrt.f64 (exp.f64 (.f64 (-.f64 1 eps) x))) 2)) (cbrt.f64 (exp.f64 (.f64 (-.f64 1 eps) x))) (neg.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))))))
(fma.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (exp.f64 (.f64 (-.f64 1 eps) x)))) (sqrt.f64 (exp.f64 (.f64 (-.f64 1 eps) x))) (.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps))))
(fma.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (exp.f64 (.f64 (-.f64 1 eps) x)))) (sqrt.f64 (exp.f64 (.f64 (-.f64 1 eps) x))) (.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps))) 1))
(fma.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (exp.f64 (.f64 (-.f64 1 eps) x)))) (sqrt.f64 (exp.f64 (.f64 (-.f64 1 eps) x))) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))))
(fma.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (exp.f64 (.f64 (-.f64 1 eps) x)))) (sqrt.f64 (exp.f64 (.f64 (-.f64 1 eps) x))) (neg.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))))))
(fma.f64 (.f64 (exp.f64 (.f64 (-.f64 1 eps) x)) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2))) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (*.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps))))
(fma.f64 (.f64 (exp.f64 (.f64 (-.f64 1 eps) x)) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2))) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (.f64 (.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps))) 1))
(fma.f64 (.f64 (exp.f64 (.f64 (-.f64 1 eps) x)) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2))) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))))
(fma.f64 (.f64 (exp.f64 (.f64 (-.f64 1 eps) x)) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2))) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (neg.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))))))
(fma.f64 (.f64 (exp.f64 (.f64 (-.f64 1 eps) x)) (hypot.f64 1 (pow.f64 eps -1/2))) (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps))))
(fma.f64 (.f64 (exp.f64 (.f64 (-.f64 1 eps) x)) (hypot.f64 1 (pow.f64 eps -1/2))) (hypot.f64 1 (pow.f64 eps -1/2)) (.f64 (.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps))) 1))
(fma.f64 (.f64 (exp.f64 (.f64 (-.f64 1 eps) x)) (hypot.f64 1 (pow.f64 eps -1/2))) (hypot.f64 1 (pow.f64 eps -1/2)) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))))
(fma.f64 (.f64 (exp.f64 (.f64 (-.f64 1 eps) x)) (hypot.f64 1 (pow.f64 eps -1/2))) (hypot.f64 1 (pow.f64 eps -1/2)) (neg.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 (-.f64 1 eps) x)))) 1)
(.f64 1 (exp.f64 (.f64 (-.f64 1 eps) x)))
(.f64 (exp.f64 (.f64 (-.f64 1 eps) x)) 1)
(.f64 (cbrt.f64 (exp.f64 (.f64 (-.f64 1 eps) x))) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))) 2))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (-.f64 1 eps) x))) 2) (cbrt.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))))
(.f64 (sqrt.f64 (exp.f64 (.f64 (-.f64 1 eps) x))) (sqrt.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))))
(.f64 (pow.f64 1 x) (exp.f64 (.f64 (-.f64 1 eps) x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 eps))) 2) x) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 eps))) x))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 eps))) x) (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 eps))) x))
(/.f64 1 (exp.f64 (*.f64 (-.f64 1 eps) x)))
(/.f64 1 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) x)) 1))
(/.f64 -1 (neg.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (+.f64 x x)))
(log.f64 (exp.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (*.f64 (-.f64 1 eps) x)))))
(cbrt.f64 (pow.f64 (exp.f64 (*.f64 (-.f64 1 eps) x)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))))
(exp.f64 (*.f64 (-.f64 1 eps) x))
(exp.f64 (.f64 (.f64 (-.f64 1 eps) x) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) 1)
(*.f64 1 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(*.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) 1)
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) (+.f64 x x))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) (+.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(*.f64 (pow.f64 1 x) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 -1 eps))) 2) x) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 -1 eps))) x))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 -1 eps))) x) (pow.f64 (sqrt.f64 (exp.f64 (-.f64 -1 eps))) x))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) (+.f64 x x)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(exp.f64 (.f64 (.f64 x (-.f64 -1 eps)) 1))
(+.f64 (neg.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(+.f64 (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (neg.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(+.f64 (.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (/.f64 1 eps)) (.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) -1))
(+.f64 (.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) -1) (.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (/.f64 1 eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))) 1)
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps -3)) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (-.f64 (+.f64 (pow.f64 eps -2) 1) (/.f64 -1 eps)))
(/.f64 (*.f64 (+.f64 (pow.f64 eps -2) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (+.f64 1 (/.f64 1 eps)))
(/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (+.f64 -1 (pow.f64 eps -3))) (-.f64 (+.f64 (pow.f64 eps -2) 1) (/.f64 -1 eps)))
(/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (+.f64 (pow.f64 eps -2) -1)) (+.f64 1 (/.f64 1 eps)))
(pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) 2)
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (+.f64 (/.f64 1 eps) -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))))
(exp.f64 (fma.f64 x (-.f64 -1 eps) (log.f64 (+.f64 (/.f64 1 eps) -1))))
(exp.f64 (*.f64 (fma.f64 x (-.f64 -1 eps) (log.f64 (+.f64 (/.f64 1 eps) -1))) 1))
(fma.f64 1 (neg.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(fma.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (neg.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(fma.f64 -1 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (/.f64 1 eps) (*.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) -1))
(fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) -1 (*.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (/.f64 1 eps)))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) (+.f64 x x))) (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(fma.f64 (.f64 (cbrt.f64 (neg.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) (cbrt.f64 (neg.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))) (cbrt.f64 (neg.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) (.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) (sqrt.f64 (neg.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) (+.f64 x x)))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))

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

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (/.f64 -1 eps))
✓	0.0b	(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
✓	0.0b	(pow.f64 (exp.f64 x) (+.f64 eps -1))
✓	4.8b	(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))

Compiler

Compiled 102 to 58 computations (43.1% saved)

series37.0ms (0.3%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
15.0ms	x	@	inf	(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
12.0ms	x	@	-inf	(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
2.0ms	x	@	0	(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
2.0ms	eps	@	0	(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
1.0ms	eps	@	inf	(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))

rewrite82.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

641×	`prod-diff_binary64`
325×	`fma-def_binary64`
263×	`expm1-udef_binary64`
263×	`log1p-udef_binary64`
232×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	66
1	351	64
2	5038	64

Stop Event

1×	node limit

Counts

4 → 120

Calls

Call 1

Inputs
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
(+.f64 1 (/.f64 -1 eps))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 x (+.f64 eps -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 x (+.f64 eps -1)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 x (+.f64 eps -1)))) 1) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2) (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (sqrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 x (+.f64 eps -1)))) 3) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3)) (fma.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 x (+.f64 eps -1)))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 x (+.f64 eps -1)))) (-.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2) (.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 x (+.f64 eps -1)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 x (+.f64 eps -1)))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 x (+.f64 eps -1))))) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2)) (-.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 x (+.f64 eps -1)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (exp.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 x (+.f64 eps -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (exp.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 x (+.f64 eps -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 x (+.f64 eps -1))))) (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 1))))))
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (/.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 1 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (/.f64 1 eps))) (/.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 1 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (/.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (pow.f64 eps -3)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 (+.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (pow.f64 eps -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps)) (+.f64 1 (pow.f64 eps -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 eps -3)) (-.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 eps -2)) (+.f64 1 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 eps -3))) (neg.f64 (-.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 eps -2))) (+.f64 -1 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 eps -3)) (-.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 eps -2) 1) (+.f64 -1 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (pow.f64 eps -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 (/.f64 1 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 eps) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 eps) -1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 eps)) (cbrt.f64 (pow.f64 eps -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 eps) 2) -1) (pow.f64 (cbrt.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 eps) -1) (pow.f64 (sqrt.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1 (cbrt.f64 (pow.f64 eps -2))) (/.f64 1 (cbrt.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1 (pow.f64 eps -1/2)) (pow.f64 eps -1/2) 1)))))

simplify122.0ms (1%)

Algorithm

1×	egg-herbie

Rules

500×	`fma-neg_binary64`
477×	`cancel-sign-sub-inv_binary64`
293×	`associate-r_binary64`
261×	`fma-def_binary64`
217×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	446	4905
1	1325	4534
2	5188	4490

Stop Event

1×	node limit

Counts

204 → 265

Calls

Call 1

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

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

localize62.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (+.f64 eps -1))
✓	0.0b	(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
✓	0.3b	(pow.f64 (exp.f64 (+.f64 eps -1)) x)
✓	5.0b	(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))

Compiler

Compiled 101 to 61 computations (39.6% saved)

series10.0ms (0.1%)

Counts

4 → 76

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	-inf	(pow.f64 (exp.f64 (+.f64 eps -1)) x)
1.0ms	eps	@	0	(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
1.0ms	x	@	0	(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
1.0ms	eps	@	inf	(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
1.0ms	eps	@	-inf	(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))

rewrite103.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

668×	`prod-diff_binary64`
341×	`fma-def_binary64`
284×	`expm1-udef_binary64`
283×	`log1p-udef_binary64`
251×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	65
1	324	63
2	4404	63

Stop Event

1×	node limit

Counts

4 → 136

Calls

Call 1

Inputs
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(exp.f64 (+.f64 eps -1))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 (+.f64 eps -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 (+.f64 eps -1) x))) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 (+.f64 eps -1) x))) 1) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (/.f64 1 (.f64 (exp.f64 (fma.f64 eps x x)) eps)))))) (#(struct:change #<rule egg-rr> 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 eps -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (exp.f64 (+.f64 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (+.f64 eps -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 -1) (exp.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 eps) (exp.f64 -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (exp.f64 (+.f64 eps -1))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) 2)) (cbrt.f64 (exp.f64 (+.f64 eps -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (exp.f64 (+.f64 eps -1))) (sqrt.f64 (exp.f64 (+.f64 eps -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 eps -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (+.f64 eps -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (.f64 3 (+.f64 eps -1))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (+.f64 eps -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (+.f64 eps -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 eps -1)) 2)) (cbrt.f64 (+.f64 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 eps -1))) (sqrt.f64 (+.f64 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (+.f64 eps -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 eps -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (exp.f64 (*.f64 3 (+.f64 eps -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (+.f64 eps -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (+.f64 eps -1))))))))

simplify146.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

504×	`fma-neg_binary64`
489×	`times-frac_binary64`
318×	`fma-def_binary64`
251×	`associate-r_binary64`
232×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	563	7622
1	1634	6197
2	5887	6162

Stop Event

1×	node limit

Counts

212 → 281

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps)
(-.f64 (+.f64 (/.f64 (exp.f64 (.f64 -1 x)) eps) (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (.f64 -1 x))))) (+.f64 (/.f64 1 (.f64 eps (exp.f64 x))) (.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (.f64 eps (-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (.f64 (-.f64 (/.f64 1 (exp.f64 x)) (.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (exp.f64 (.f64 -1 x)))))) (+.f64 (/.f64 1 (.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (.f64 eps (-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (.f64 (-.f64 (/.f64 1 (exp.f64 x)) (.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (+.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (exp.f64 x)) (.f64 -1 (/.f64 x (exp.f64 x)))) (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (.f64 (-.f64 (/.f64 1 (exp.f64 x)) (.f64 -1 (/.f64 x (exp.f64 x)))) x)) x)) (.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))))))))))) (+.f64 (/.f64 1 (.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 (-.f64 eps 1) x)))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (.f64 (-.f64 eps 1) x)) eps) (exp.f64 (.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (.f64 (-.f64 eps 1) x)) eps) (exp.f64 (.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (.f64 (-.f64 eps 1) x)) eps) (exp.f64 (.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))) (.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (.f64 -1 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))))) eps))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))) (.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (.f64 -1 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))))) eps))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))) (.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (.f64 -1 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))))) eps))))
2
(+.f64 (.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) 2)
(+.f64 (.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) (+.f64 2 (.f64 (-.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (+.f64 (.f64 1/2 (.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2))) (.f64 -1 (.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))))) (pow.f64 x 2))))
(+.f64 (.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) (+.f64 2 (+.f64 (.f64 (-.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (+.f64 (.f64 1/2 (.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2))) (.f64 -1 (.f64 (+.f64 eps 1) (.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))))) (pow.f64 x 2)) (.f64 (-.f64 (.f64 1/6 (.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 3))) (+.f64 (.f64 1/6 (.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 eps 1) (.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))) (.f64 1/2 (.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 1 (/.f64 1 eps))))) (+.f64 eps 1))) (.f64 -1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 3)))))) (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(exp.f64 (*.f64 -1 x))
(+.f64 (.f64 eps (.f64 (exp.f64 (.f64 -1 x)) x)) (exp.f64 (.f64 -1 x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 eps (.f64 (exp.f64 (.f64 -1 x)) x)) (exp.f64 (.f64 -1 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 eps (.f64 (exp.f64 (.f64 -1 x)) x)) (exp.f64 (.f64 -1 x)))))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 eps)) x)))
1
(+.f64 1 (*.f64 (-.f64 eps 1) x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (-.f64 eps 1) x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 (-.f64 eps 1) x) (.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3))))))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
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(*.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
(.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(*.f64 (+.f64 -1 (neg.f64 (/.f64 -1 eps))) (/.f64 1 (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 1 (/.f64 -1 eps)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 2)) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (exp.f64 (fma.f64 eps x x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) 1) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (exp.f64 (fma.f64 eps x x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 2)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 2)) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 1)
(pow.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 3) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) 3)
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) 2)
(pow.f64 (exp.f64 (-.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 -1 eps)))) -1)
(neg.f64 (/.f64 (+.f64 1 (/.f64 -1 eps)) (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 2))
(log.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 3) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)) 1))
(fma.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (neg.f64 (/.f64 1 (*.f64 (exp.f64 (fma.f64 eps x x)) eps))))
(fma.f64 (.f64 (cbrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (cbrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))))) (cbrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (/.f64 1 (.f64 (exp.f64 (fma.f64 eps x x)) eps))))
(fma.f64 (sqrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (sqrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (/.f64 1 (*.f64 (exp.f64 (fma.f64 eps x x)) eps))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 eps -1)))) 1)
(*.f64 1 (exp.f64 (+.f64 eps -1)))
(*.f64 (exp.f64 (+.f64 eps -1)) 1)
(*.f64 (exp.f64 -1) (exp.f64 eps))
(*.f64 (exp.f64 eps) (exp.f64 -1))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 eps -1))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) 2)) (cbrt.f64 (exp.f64 (+.f64 eps -1))))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 eps -1))) (sqrt.f64 (exp.f64 (+.f64 eps -1))))
(pow.f64 (exp.f64 (+.f64 eps -1)) 1)
(pow.f64 (E.f64) (+.f64 eps -1))
(pow.f64 (exp.f64 (*.f64 3 (+.f64 eps -1))) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 eps -1))) 3)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 eps -1))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 eps -1)) 2)) (cbrt.f64 (+.f64 eps -1)))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 eps -1))) (sqrt.f64 (+.f64 eps -1)))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) 2))
(log.f64 (exp.f64 (exp.f64 (+.f64 eps -1))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 eps -1)))))
(cbrt.f64 (exp.f64 (*.f64 3 (+.f64 eps -1))))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 eps -1))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 eps -1))))

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

eval1.4s (11.1%)

Compiler: Compiled 67029 to 43932 computations (34.5% saved)

prune502.0ms (4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	1446	8	1454
Fresh	0	0	0
Picked	1	0	1
Done	2	1	3
Total	1449	9	1458

Error

0.0b

Counts

1458 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	49.8b	(/.f64 (-.f64 (fma.f64 -1 (.f64 (.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))) (+.f64 (/.f64 1 eps) (+.f64 1 (.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (.f64 x x) (pow.f64 (-.f64 1 eps) 2))))))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
▶	47.2b	(/.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
	0.2b	(/.f64 (-.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
	47.2b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (+.f64 (/.f64 1 eps) (.f64 -1 (.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))) 1)) 2)
✓	31.7b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
▶	1.5b	(/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
▶	0.2b	(/.f64 (+.f64 (+.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x))) 2)
	15.8b	(/.f64 2 2)
▶	47.0b	(/.f64 0 2)

Compiler

Compiled 397 to 312 computations (21.4% saved)

localize24.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x)))
✓	0.0b	(+.f64 (+.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x)))
✓	0.0b	(/.f64 x (exp.f64 x))

Compiler

Compiled 62 to 22 computations (64.5% saved)

series4.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite55.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

705×	`fma-def_binary64`
472×	`log-prod_binary64`
341×	`pow-prod-down_binary64`
329×	`fma-neg_binary64`
241×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	50
1	223	36
2	3639	3

Stop Event

1×	node limit

Counts

3 → 3

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 0)))) (#(struct:change #<rule egg-rr> (2) ((x . x)))))
((#(struct:change #<rule egg-rr> (2) ((x . 2)))))
((#(struct:change #<rule egg-rr> (2) ((x . 2)))))

simplify38.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

778×	`fma-def_binary64`
522×	`distribute-rgt-neg-in_binary64`
468×	`distribute-lft-out_binary64`
448×	`distribute-lft-neg-in_binary64`
363×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	52	363
1	134	333
2	337	329
3	1132	319
4	4157	301

Stop Event

1×	node limit

Counts

31 → 57

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 2)) x))
(+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) x)))
2
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 2/3 (pow.f64 x 3))))
(+.f64 2 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -1/4 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 3)))))
(*.f64 2 (/.f64 x (exp.f64 x)))
(+.f64 (.f64 2 (/.f64 x (exp.f64 x))) (.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (.f64 2 (/.f64 x (exp.f64 x))) (.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (.f64 2 (/.f64 x (exp.f64 x))) (.f64 2 (exp.f64 (neg.f64 x))))
(*.f64 2 (/.f64 x (exp.f64 x)))
(+.f64 (.f64 2 (/.f64 x (exp.f64 x))) (.f64 2 (exp.f64 (*.f64 -1 x))))
(+.f64 (.f64 2 (/.f64 x (exp.f64 x))) (.f64 2 (exp.f64 (*.f64 -1 x))))
(+.f64 (.f64 2 (/.f64 x (exp.f64 x))) (.f64 2 (exp.f64 (*.f64 -1 x))))
2
(+.f64 2 (*.f64 -1 x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 (.f64 -1 x)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 -1 x) (*.f64 -1/12 (pow.f64 x 4)))))
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 x (exp.f64 x)) (.f64 2 (exp.f64 (.f64 -1 x))))
(+.f64 (/.f64 x (exp.f64 x)) (.f64 2 (exp.f64 (.f64 -1 x))))
(+.f64 (/.f64 x (exp.f64 x)) (.f64 2 (exp.f64 (.f64 -1 x))))
0
2
2

Outputs
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.f64 x) x)
(+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 2)) x))
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) x))
(fma.f64 1/2 (pow.f64 x 3) (-.f64 x (*.f64 x x)))
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 x (neg.f64 x) x))
(fma.f64 (*.f64 x x) (fma.f64 x 1/2 -1) x)
(+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) x)))
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) (fma.f64 -1/6 (pow.f64 x 4) x)))
(fma.f64 1/2 (pow.f64 x 3) (-.f64 (fma.f64 -1/6 (pow.f64 x 4) x) (*.f64 x x)))
(-.f64 (fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1/6 (pow.f64 x 4) x)) (*.f64 x x))
(fma.f64 (*.f64 x x) (fma.f64 x 1/2 -1) (fma.f64 -1/6 (pow.f64 x 4) x))
2
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (neg.f64 (*.f64 x x)))
(-.f64 2 (*.f64 x x))
(fma.f64 x (neg.f64 x) 2)
(+.f64 2 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 2/3 (pow.f64 x 3))))
(+.f64 2 (fma.f64 -1 (.f64 x x) (.f64 (pow.f64 x 3) 2/3)))
(+.f64 (-.f64 2 (.f64 x x)) (.f64 (pow.f64 x 3) 2/3))
(-.f64 (fma.f64 (pow.f64 x 3) 2/3 2) (*.f64 x x))
(fma.f64 (*.f64 x x) (fma.f64 x 2/3 -1) 2)
(fma.f64 x (*.f64 x (fma.f64 x 2/3 -1)) 2)
(+.f64 2 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -1/4 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 3)))))
(+.f64 2 (fma.f64 -1 (.f64 x x) (fma.f64 -1/4 (pow.f64 x 4) (.f64 (pow.f64 x 3) 2/3))))
(+.f64 (-.f64 2 (.f64 x x)) (fma.f64 (pow.f64 x 3) 2/3 (.f64 (pow.f64 x 4) -1/4)))
(+.f64 2 (-.f64 (fma.f64 (pow.f64 x 3) 2/3 (.f64 (pow.f64 x 4) -1/4)) (.f64 x x)))
(fma.f64 (*.f64 x x) (fma.f64 x 2/3 -1) (fma.f64 (pow.f64 x 4) -1/4 2))
(fma.f64 x (*.f64 x (fma.f64 x 2/3 -1)) (fma.f64 (pow.f64 x 4) -1/4 2))
(*.f64 2 (/.f64 x (exp.f64 x)))
(/.f64 x (/.f64 (exp.f64 x) 2))
(+.f64 (.f64 2 (/.f64 x (exp.f64 x))) (.f64 2 (exp.f64 (neg.f64 x))))
(*.f64 2 (+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x))))
(fma.f64 2 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(*.f64 (/.f64 2 (exp.f64 x)) (+.f64 x 1))
(+.f64 (.f64 2 (/.f64 x (exp.f64 x))) (.f64 2 (exp.f64 (neg.f64 x))))
(*.f64 2 (+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x))))
(fma.f64 2 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(*.f64 (/.f64 2 (exp.f64 x)) (+.f64 x 1))
(+.f64 (.f64 2 (/.f64 x (exp.f64 x))) (.f64 2 (exp.f64 (neg.f64 x))))
(*.f64 2 (+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x))))
(fma.f64 2 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(*.f64 (/.f64 2 (exp.f64 x)) (+.f64 x 1))
(*.f64 2 (/.f64 x (exp.f64 x)))
(/.f64 x (/.f64 (exp.f64 x) 2))
(+.f64 (.f64 2 (/.f64 x (exp.f64 x))) (.f64 2 (exp.f64 (*.f64 -1 x))))
(*.f64 2 (+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x))))
(fma.f64 2 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(*.f64 (/.f64 2 (exp.f64 x)) (+.f64 x 1))
(+.f64 (.f64 2 (/.f64 x (exp.f64 x))) (.f64 2 (exp.f64 (*.f64 -1 x))))
(*.f64 2 (+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x))))
(fma.f64 2 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(*.f64 (/.f64 2 (exp.f64 x)) (+.f64 x 1))
(+.f64 (.f64 2 (/.f64 x (exp.f64 x))) (.f64 2 (exp.f64 (*.f64 -1 x))))
(*.f64 2 (+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x))))
(fma.f64 2 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(*.f64 (/.f64 2 (exp.f64 x)) (+.f64 x 1))
2
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 (.f64 -1 x)))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 (neg.f64 x)))
(-.f64 (fma.f64 (pow.f64 x 3) 1/6 2) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 -1 x) (*.f64 -1/12 (pow.f64 x 4)))))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 (fma.f64 -1 x (*.f64 (pow.f64 x 4) -1/12))))
(fma.f64 (pow.f64 x 3) 1/6 (+.f64 (-.f64 2 x) (*.f64 (pow.f64 x 4) -1/12)))
(fma.f64 (pow.f64 x 3) 1/6 (fma.f64 (pow.f64 x 4) -1/12 (-.f64 2 x)))
(-.f64 (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 (pow.f64 x 4) -1/12 2)) x)
(-.f64 (fma.f64 (pow.f64 x 4) -1/12 (fma.f64 (pow.f64 x 3) 1/6 2)) x)
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(fma.f64 2 (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(fma.f64 2 (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(fma.f64 2 (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x)))
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 x (exp.f64 x)) (.f64 2 (exp.f64 (.f64 -1 x))))
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(fma.f64 2 (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (.f64 2 (exp.f64 (.f64 -1 x))))
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(fma.f64 2 (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (.f64 2 (exp.f64 (.f64 -1 x))))
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(fma.f64 2 (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x)))
0
2
2

localize3.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 eps) -1)
	0.0b	(*.f64 (+.f64 1 eps) (neg.f64 x))
	0.0b	(.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))
✓	4.9b	(-.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x)))))

Compiler

Compiled 91 to 64 computations (29.7% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(-.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x)))))
0.0ms	x	@	0	(-.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x)))))
0.0ms	eps	@	-inf	(-.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x)))))
0.0ms	eps	@	inf	(-.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x)))))
0.0ms	x	@	inf	(-.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x)))))

rewrite96.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

684×	`log-prod_binary64`
587×	`fma-def_binary64`
278×	`fma-neg_binary64`
250×	`expm1-udef_binary64`
250×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	36
1	314	34
2	4521	30

Stop Event

1×	node limit

Counts

2 → 175

Calls

Call 1

Inputs
(-.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x)))))
(+.f64 (/.f64 1 eps) -1)

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps))) (/.f64 1 (+.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (cbrt.f64 (+.f64 (/.f64 1 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 eps -3)) (/.f64 1 (+.f64 (pow.f64 eps -2) (-.f64 1 (/.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 eps -2) -1) (/.f64 1 (+.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 eps -1/2) 1) (-.f64 (pow.f64 eps -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 eps -2) (-.f64 1 (/.f64 -1 eps))) (+.f64 -1 (pow.f64 eps -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (pow.f64 eps -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 (pow.f64 eps -2) (-.f64 1 (/.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 eps -2) -1) (+.f64 1 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 eps -2) -1)) (neg.f64 (+.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 eps -3))) (neg.f64 (+.f64 (pow.f64 eps -2) (-.f64 1 (/.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 eps -2)) (-.f64 -1 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (neg.f64 (log.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (neg.f64 (log.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 eps) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 eps) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 -1 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1 eps)) (cbrt.f64 (pow.f64 eps -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 eps -2)) (cbrt.f64 (/.f64 1 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 eps -2)) (*.f64 (cbrt.f64 (/.f64 1 eps)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps -1/2) (*.f64 (pow.f64 eps -1/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 eps) 2) -1) (pow.f64 (cbrt.f64 eps) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 eps) -1) (pow.f64 (sqrt.f64 eps) -1) -1)))))

simplify122.0ms (1%)

Algorithm

1×	egg-herbie

Rules

598×	`unswap-sqr_binary64`
511×	`times-frac_binary64`
430×	`cancel-sign-sub-inv_binary64`
337×	`fma-neg_binary64`
222×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	431	7067
1	1136	6689
2	3936	6346

Stop Event

1×	node limit

Counts

211 → 281

Calls

Call 1

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

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

localize47.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1))))))
✓	0.0b	(*.f64 x (-.f64 1 eps))
✓	0.0b	(*.f64 x (+.f64 eps 1))

Compiler

Compiled 90 to 64 computations (28.9% saved)

series16.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1))))))
1.0ms	x	@	0	(-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1))))))
0.0ms	x	@	0	(*.f64 x (+.f64 eps 1))
0.0ms	x	@	inf	(-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1))))))
0.0ms	x	@	inf	(*.f64 x (+.f64 eps 1))

rewrite107.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

743×	`prod-diff_binary64`
482×	`fma-def_binary64`
215×	`expm1-udef_binary64`
215×	`log1p-udef_binary64`
196×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	311	30
2	4590	30

Stop Event

1×	node limit

Counts

3 → 254

Calls

Call 1

Inputs
(*.f64 x (+.f64 eps 1))
(*.f64 x (-.f64 1 eps))
(-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x eps x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 eps (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 -1) (fma.f64 x eps x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (fma.f64 x eps x)) (*.f64 1/2 (fma.f64 x eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (fma.f64 x eps x))) (*.f64 1/3 (fma.f64 x eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 x eps)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x eps) -1) (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (neg.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x eps) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 x) 1) (*.f64 (neg.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (*.f64 x eps)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 x) eps) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (fma.f64 x eps x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (exp.f64 (fma.f64 x eps x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x eps x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -1) (fma.f64 x eps x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (*.f64 x eps)) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 0 (exp.f64 (*.f64 3 (fma.f64 x eps x))))) (log.f64 (+.f64 0 (+.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2) (*.f64 0 (exp.f64 (fma.f64 x eps x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 0 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2))) (fma.f64 x eps x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 3)) (+.f64 0 (+.f64 (pow.f64 (fma.f64 x eps x) 2) (*.f64 0 (fma.f64 x eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 x 3)) (fma.f64 (*.f64 x eps) (*.f64 x eps) (-.f64 (*.f64 x x) (*.f64 (*.f64 x eps) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (fma.f64 x eps x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 x x)) (fma.f64 x eps (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (-.f64 (fma.f64 eps eps 1) eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 eps eps -1) x) (+.f64 eps -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (+.f64 1 (pow.f64 eps 3))) (-.f64 (fma.f64 eps eps 1) eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (fma.f64 eps eps -1)) (+.f64 eps -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (-.f64 (fma.f64 eps eps 1) eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 eps eps -1)) (+.f64 eps -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x eps x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x eps x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x eps x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x eps x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (fma.f64 x eps x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (exp.f64 (fma.f64 x eps x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x eps x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (exp.f64 (*.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (fma.f64 x eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (*.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x eps)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 -1 (+.f64 1 (expm1.f64 (fma.f64 x eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x eps x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x eps x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x eps x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps (neg.f64 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 x) (*.f64 eps (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 eps (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 eps eps)) (*.f64 (cbrt.f64 eps) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 eps (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (*.f64 eps (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x eps) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) 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#<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2))) (cbrt.f64 (exp.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2))) (cbrt.f64 (exp.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (exp.f64 (fma.f64 x eps x)))) (sqrt.f64 (exp.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))))

simplify138.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

589×	`unswap-sqr_binary64`
410×	`fma-neg_binary64`
271×	`associate-r_binary64`
266×	`fma-def_binary64`
263×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	591	6789
1	1534	5643
2	5005	5009

Stop Event

1×	node limit

Counts

326 → 371

Calls

Call 1

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

Outputs
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
x
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(*.f64 (-.f64 1 eps) x)
(*.f64 x (-.f64 1 eps))
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 eps x))
(*.f64 (-.f64 1 eps) x)
(*.f64 x (-.f64 1 eps))
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 eps x))
(*.f64 (-.f64 1 eps) x)
(*.f64 x (-.f64 1 eps))
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 eps x))
(*.f64 (-.f64 1 eps) x)
(*.f64 x (-.f64 1 eps))
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 eps x))
(*.f64 (-.f64 1 eps) x)
(*.f64 x (-.f64 1 eps))
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 eps x))
(*.f64 (-.f64 1 eps) x)
(*.f64 x (-.f64 1 eps))
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 eps x))
(*.f64 (-.f64 1 eps) x)
(*.f64 x (-.f64 1 eps))
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 eps x))
(*.f64 (-.f64 1 eps) x)
(*.f64 x (-.f64 1 eps))
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 eps x))
(*.f64 (-.f64 1 eps) x)
(*.f64 x (-.f64 1 eps))
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 eps x))
(*.f64 (-.f64 1 eps) x)
(*.f64 x (-.f64 1 eps))
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 eps x))
(*.f64 (-.f64 1 eps) x)
(*.f64 x (-.f64 1 eps))
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 eps x))
(*.f64 (-.f64 1 eps) x)
(*.f64 x (-.f64 1 eps))
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 eps x))
x
(+.f64 (.f64 -1 (.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 eps x))
(+.f64 (.f64 -1 (.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 eps x))
(+.f64 (.f64 -1 (.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 eps x))
(.f64 -1 (.f64 eps x))
(*.f64 eps (neg.f64 x))
(+.f64 (.f64 -1 (.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 eps x))
(+.f64 (.f64 -1 (.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 eps x))
(+.f64 (.f64 -1 (.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 eps x))
(.f64 -1 (.f64 eps x))
(*.f64 eps (neg.f64 x))
(+.f64 (.f64 -1 (.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 eps x))
(+.f64 (.f64 -1 (.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 eps x))
(+.f64 (.f64 -1 (.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 eps x))
2
(+.f64 2 (.f64 (-.f64 (+.f64 eps (.f64 -1 (+.f64 eps 1))) 1) x))
(+.f64 2 (*.f64 x (+.f64 eps (-.f64 (+.f64 (neg.f64 eps) -1) 1))))
(fma.f64 x (+.f64 eps (+.f64 (neg.f64 eps) -2)) 2)
(+.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 eps 1) 2)) (.f64 1/2 (pow.f64 (+.f64 eps 1) 2))) (pow.f64 x 2)) (+.f64 2 (.f64 (-.f64 (+.f64 eps (*.f64 -1 (+.f64 eps 1))) 1) x)))
(fma.f64 (.f64 1/2 (+.f64 (pow.f64 (+.f64 eps -1) 2) (pow.f64 (+.f64 1 eps) 2))) (.f64 x x) (+.f64 2 (*.f64 x (+.f64 eps (-.f64 (+.f64 (neg.f64 eps) -1) 1)))))
(fma.f64 (.f64 1/2 (+.f64 (pow.f64 (+.f64 eps -1) 2) (pow.f64 (+.f64 1 eps) 2))) (.f64 x x) (fma.f64 x (+.f64 eps (+.f64 (neg.f64 eps) -2)) 2))
(+.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 eps 1) 2)) (.f64 1/2 (pow.f64 (+.f64 eps 1) 2))) (pow.f64 x 2)) (+.f64 2 (+.f64 (.f64 (-.f64 (+.f64 eps (.f64 -1 (+.f64 eps 1))) 1) x) (.f64 (+.f64 (.f64 1/6 (pow.f64 (-.f64 eps 1) 3)) (.f64 -1/6 (pow.f64 (+.f64 eps 1) 3))) (pow.f64 x 3)))))
(fma.f64 (.f64 1/2 (+.f64 (pow.f64 (+.f64 eps -1) 2) (pow.f64 (+.f64 1 eps) 2))) (.f64 x x) (+.f64 2 (fma.f64 (+.f64 eps (-.f64 (+.f64 (neg.f64 eps) -1) 1)) x (.f64 (fma.f64 1/6 (pow.f64 (+.f64 eps -1) 3) (.f64 -1/6 (pow.f64 (+.f64 1 eps) 3))) (pow.f64 x 3)))))
(+.f64 (fma.f64 (.f64 1/2 (+.f64 (pow.f64 (+.f64 eps -1) 2) (pow.f64 (+.f64 1 eps) 2))) (.f64 x x) (fma.f64 x (+.f64 eps (+.f64 (neg.f64 eps) -2)) 2)) (.f64 (fma.f64 1/6 (pow.f64 (+.f64 eps -1) 3) (.f64 -1/6 (pow.f64 (+.f64 1 eps) 3))) (pow.f64 x 3)))
(+.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) (exp.f64 (-.f64 (.f64 eps x) x)))
(+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) (exp.f64 (-.f64 (.f64 eps x) x)))
(+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) (exp.f64 (-.f64 (.f64 eps x) x)))
(+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) (exp.f64 (-.f64 (.f64 eps x) x)))
(+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))) (exp.f64 (neg.f64 (.f64 (+.f64 eps 1) x))))
(+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))) (exp.f64 (neg.f64 (.f64 (+.f64 eps 1) x))))
(+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))) (exp.f64 (neg.f64 (.f64 (+.f64 eps 1) x))))
(+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))) (exp.f64 (neg.f64 (.f64 (+.f64 eps 1) x))))
(+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(*.f64 2 (exp.f64 (neg.f64 x)))
(/.f64 2 (exp.f64 x))
(+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (exp.f64 (neg.f64 x)) x)) (.f64 (exp.f64 (neg.f64 x)) x)) eps) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 (.f64 0 (.f64 x (exp.f64 (neg.f64 x)))) eps (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 eps 0 (/.f64 2 (exp.f64 x)))
(+.f64 (/.f64 2 (exp.f64 x)) 0)
(+.f64 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (exp.f64 (neg.f64 x)) x)) (.f64 (exp.f64 (neg.f64 x)) x)) eps) (*.f64 2 (exp.f64 (neg.f64 x)))))
(fma.f64 (.f64 eps eps) (.f64 (.f64 x x) (exp.f64 (neg.f64 x))) (fma.f64 (.f64 0 (.f64 x (exp.f64 (neg.f64 x)))) eps (.f64 2 (exp.f64 (neg.f64 x)))))
(fma.f64 (.f64 x (/.f64 x (exp.f64 x))) (.f64 eps eps) (fma.f64 eps 0 (/.f64 2 (exp.f64 x))))
(+.f64 (/.f64 2 (exp.f64 x)) (fma.f64 (/.f64 (.f64 x x) (exp.f64 x)) (.f64 eps eps) 0))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (exp.f64 (neg.f64 x)) x)) (.f64 (exp.f64 (neg.f64 x)) x)) eps) (+.f64 (.f64 (pow.f64 eps 3) (+.f64 (.f64 1/6 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (.f64 -1/6 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))))) (.f64 2 (exp.f64 (neg.f64 x))))))
(fma.f64 (.f64 eps eps) (.f64 (.f64 x x) (exp.f64 (neg.f64 x))) (fma.f64 (.f64 0 (.f64 x (exp.f64 (neg.f64 x)))) eps (.f64 2 (exp.f64 (neg.f64 x)))))
(fma.f64 (.f64 x (/.f64 x (exp.f64 x))) (.f64 eps eps) (fma.f64 eps 0 (/.f64 2 (exp.f64 x))))
(+.f64 (/.f64 2 (exp.f64 x)) (fma.f64 (/.f64 (.f64 x x) (exp.f64 x)) (.f64 eps eps) 0))
(+.f64 (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))) (exp.f64 (neg.f64 (.f64 (+.f64 eps 1) x))))
(+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))) (exp.f64 (neg.f64 (.f64 (+.f64 eps 1) x))))
(+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
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(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2)) (cbrt.f64 (exp.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)))) (fma.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)) (.f64 (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)))))
(+.f64 (.f64 0 (.f64 (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)))) (fma.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(fma.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2)) (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x)))) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)) (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(-.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 2)) (exp.f64 (fma.f64 x eps x)))
(+.f64 (+.f64 (.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (neg.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))) (fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 2)) (*.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 2 (-.f64 1 eps)))) (exp.f64 (fma.f64 eps x x)))
(fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 2)) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (exp.f64 (fma.f64 x eps x)))
(+.f64 (+.f64 (.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (neg.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))) (fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 2)) (*.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 2 (-.f64 1 eps)))) (exp.f64 (fma.f64 eps x x)))
(fma.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x)))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2)) (exp.f64 (fma.f64 x eps x))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (exp.f64 (fma.f64 eps x x)) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)) (exp.f64 (fma.f64 eps x x)))))
(+.f64 (.f64 (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))) (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (.f64 2 (exp.f64 (fma.f64 eps x x)))))
(fma.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))) (+.f64 (exp.f64 (fma.f64 x eps x)) (exp.f64 (fma.f64 x eps x))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (exp.f64 (fma.f64 eps x x)) (*.f64 2 (exp.f64 (fma.f64 eps x x)))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 3 (exp.f64 (fma.f64 eps x x))))
(fma.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x))) (sqrt.f64 (exp.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(+.f64 (exp.f64 (fma.f64 eps x x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x))) (neg.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x)))) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (neg.f64 (exp.f64 (fma.f64 eps x x)))) (fma.f64 -1 (exp.f64 (fma.f64 eps x x)) (exp.f64 (fma.f64 eps x x))))
(-.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (exp.f64 (fma.f64 x eps x)))
(+.f64 (exp.f64 (fma.f64 eps x x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (+.f64 (exp.f64 (.f64 3 (.f64 x (-.f64 1 eps)))) (exp.f64 (*.f64 3 (fma.f64 x eps x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (fma.f64 x eps x))) 2) (exp.f64 (fma.f64 x (-.f64 1 eps) (fma.f64 x eps x))))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x)))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2)) (exp.f64 (fma.f64 x eps x))))
(fma.f64 (+.f64 (pow.f64 (exp.f64 3) (fma.f64 eps x x)) (pow.f64 (exp.f64 3) (*.f64 x (-.f64 1 eps)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2) (exp.f64 (fma.f64 x (-.f64 1 eps) (fma.f64 eps x x))))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)) (exp.f64 (fma.f64 eps x x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)) (exp.f64 (fma.f64 eps x x))) (/.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) (pow.f64 (exp.f64 3) (fma.f64 eps (neg.f64 x) x))) (+.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2) (exp.f64 (fma.f64 x (-.f64 1 eps) (fma.f64 eps x x))))))
(+.f64 (-.f64 (exp.f64 (fma.f64 eps x x)) (.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)))) (/.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) (pow.f64 (exp.f64 3) (-.f64 x (.f64 eps x)))) (+.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2) (exp.f64 (fma.f64 x (-.f64 1 eps) (fma.f64 eps x x))))))
(fma.f64 (+.f64 (exp.f64 (.f64 3 (.f64 x (-.f64 1 eps)))) (exp.f64 (*.f64 3 (fma.f64 x eps x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (fma.f64 x eps x))) 2) (exp.f64 (fma.f64 x (-.f64 1 eps) (fma.f64 x eps x))))) (+.f64 (exp.f64 (fma.f64 x eps x)) (exp.f64 (fma.f64 x eps x))))
(fma.f64 (+.f64 (pow.f64 (exp.f64 3) (fma.f64 eps x x)) (pow.f64 (exp.f64 3) (.f64 x (-.f64 1 eps)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2) (exp.f64 (fma.f64 x (-.f64 1 eps) (fma.f64 eps x x))))) (.f64 2 (exp.f64 (fma.f64 eps x x))))
(+.f64 (*.f64 2 (exp.f64 (fma.f64 eps x x))) (/.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) (pow.f64 (exp.f64 3) (fma.f64 eps (neg.f64 x) x))) (+.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2) (exp.f64 (fma.f64 x (-.f64 1 eps) (fma.f64 eps x x))))))
(+.f64 (.f64 2 (exp.f64 (fma.f64 eps x x))) (/.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) (pow.f64 (exp.f64 3) (-.f64 x (.f64 eps x)))) (+.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2) (exp.f64 (fma.f64 x (-.f64 1 eps) (fma.f64 eps x x))))))
(fma.f64 -1 (exp.f64 (fma.f64 x eps x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (neg.f64 (exp.f64 (fma.f64 eps x x)))) (fma.f64 -1 (exp.f64 (fma.f64 eps x x)) (exp.f64 (fma.f64 eps x x))))
(-.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(fma.f64 (exp.f64 (*.f64 x eps)) (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(+.f64 (exp.f64 (fma.f64 eps x x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (neg.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x)))) (sqrt.f64 (exp.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (neg.f64 (exp.f64 (fma.f64 eps x x)))) (fma.f64 -1 (exp.f64 (fma.f64 eps x x)) (exp.f64 (fma.f64 eps x x))))
(-.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(fma.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (exp.f64 (fma.f64 x eps x)))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (exp.f64 (fma.f64 x eps x)))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x)))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2)) (exp.f64 (fma.f64 x eps x))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)) (exp.f64 (fma.f64 eps x x))))
(+.f64 (-.f64 (exp.f64 (fma.f64 eps x x)) (*.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)))) (-.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
(fma.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (exp.f64 (fma.f64 x eps x)))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (exp.f64 (fma.f64 x eps x)))) (+.f64 (exp.f64 (fma.f64 x eps x)) (exp.f64 (fma.f64 x eps x))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (*.f64 2 (exp.f64 (fma.f64 eps x x))))
(+.f64 (*.f64 2 (exp.f64 (fma.f64 eps x x))) (-.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2))) (cbrt.f64 (exp.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)) (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(-.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))))
(fma.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2))) (cbrt.f64 (exp.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)) (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(-.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))))
(fma.f64 (*.f64 -1 (sqrt.f64 (exp.f64 (fma.f64 x eps x)))) (sqrt.f64 (exp.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (neg.f64 (exp.f64 (fma.f64 eps x x)))) (fma.f64 -1 (exp.f64 (fma.f64 eps x x)) (exp.f64 (fma.f64 eps x x))))
(-.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))

localize103.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.3b	(-.f64 (fma.f64 -1 (.f64 (.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))) (+.f64 (/.f64 1 eps) (+.f64 1 (.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (.f64 x x) (pow.f64 (-.f64 1 eps) 2))))))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x)))))
✓	5.9b	(.f64 (.f64 x x) (pow.f64 (-.f64 1 eps) 2))
✓	7.1b	(.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (*.f64 x x) (pow.f64 (-.f64 1 eps) 2)))
✓	7.7b	(fma.f64 -1 (.f64 (.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))) (+.f64 (/.f64 1 eps) (+.f64 1 (.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (.f64 x x) (pow.f64 (-.f64 1 eps) 2)))))))

Compiler

Compiled 300 to 214 computations (28.7% saved)

series18.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(fma.f64 -1 (.f64 (.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))) (+.f64 (/.f64 1 eps) (+.f64 1 (.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (.f64 x x) (pow.f64 (-.f64 1 eps) 2)))))))
2.0ms	eps	@	-inf	(-.f64 (fma.f64 -1 (.f64 (.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))) (+.f64 (/.f64 1 eps) (+.f64 1 (.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (.f64 x x) (pow.f64 (-.f64 1 eps) 2))))))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x)))))
2.0ms	eps	@	-inf	(fma.f64 -1 (.f64 (.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))) (+.f64 (/.f64 1 eps) (+.f64 1 (.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (.f64 x x) (pow.f64 (-.f64 1 eps) 2)))))))
1.0ms	eps	@	0	(fma.f64 -1 (.f64 (.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))) (+.f64 (/.f64 1 eps) (+.f64 1 (.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (.f64 x x) (pow.f64 (-.f64 1 eps) 2)))))))
1.0ms	x	@	inf	(fma.f64 -1 (.f64 (.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))) (+.f64 (/.f64 1 eps) (+.f64 1 (.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (.f64 x x) (pow.f64 (-.f64 1 eps) 2)))))))

rewrite60.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

310×	`add-sqr-sqrt_binary64`
304×	`pow1_binary64`
303×	`*-un-lft-identity_binary64`
288×	`add-log-exp_binary64`
287×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	163
1	613	145

Stop Event

1×	node limit

Counts

4 → 98

Calls

Call 1

Inputs
(fma.f64 -1 (.f64 (.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))) (+.f64 (/.f64 1 eps) (+.f64 1 (.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (.f64 x x) (pow.f64 (-.f64 1 eps) 2)))))))
(.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (*.f64 x x) (pow.f64 (-.f64 1 eps) 2)))
(.f64 (.f64 x x) (pow.f64 (-.f64 1 eps) 2))
(-.f64 (fma.f64 -1 (.f64 (.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))) (+.f64 (/.f64 1 eps) (+.f64 1 (.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (.f64 x x) (pow.f64 (-.f64 1 eps) 2))))))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x)))))

Outputs
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(.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (.f64 x (-.f64 1 eps)) 2)) 1))) (.f64 (exp.f64 (+.f64 x (.f64 eps x))) (-.f64 1 (/.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (fma.f64 -1 (.f64 x (.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) (fma.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (.f64 x (-.f64 1 eps)) 2)) 1))) (.f64 (exp.f64 (+.f64 x (.f64 eps x))) (-.f64 1 (/.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 (fma.f64 -1 (.f64 x (.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) (fma.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (.f64 x (-.f64 1 eps)) 2)) 1))) (.f64 (exp.f64 (+.f64 x (.f64 eps x))) (-.f64 1 (/.f64 1 eps))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -1 (.f64 x (.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) (fma.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (.f64 x (-.f64 1 eps)) 2)) 1))) (.f64 (exp.f64 (+.f64 x (.f64 eps x))) (-.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1 (.f64 x (.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) (fma.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (.f64 x (-.f64 1 eps)) 2)) 1)))) 2) (cbrt.f64 (fma.f64 -1 (.f64 x (.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) (fma.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (.f64 x (-.f64 1 eps)) 2)) 1)))) (.f64 (exp.f64 (+.f64 x (.f64 eps x))) (-.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1 (.f64 x (.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) (fma.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (.f64 x (-.f64 1 eps)) 2)) 1)))) (sqrt.f64 (fma.f64 -1 (.f64 x (.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) (fma.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (.f64 x (-.f64 1 eps)) 2)) 1)))) (.f64 (exp.f64 (+.f64 x (*.f64 eps x))) (-.f64 1 (/.f64 1 eps))))))))

simplify155.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

723×	`fma-neg_binary64`
561×	`fma-def_binary64`
446×	`associate-+r+_binary64`
386×	`associate-+l+_binary64`
324×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	470	9590
1	1529	8395
2	7226	8385

Stop Event

1×	node limit

Counts

194 → 277

Calls

Call 1

Inputs
(+.f64 (/.f64 1 eps) 1)
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) 1))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) (+.f64 1 (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))))))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) (+.f64 1 (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))))))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (-.f64 1 eps) x))) (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) (+.f64 1 (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))))))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) (+.f64 1 (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))))))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (-.f64 1 eps) x))) (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) (+.f64 1 (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))))))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) (+.f64 1 (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))))))
(/.f64 (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x))) eps)
(+.f64 (/.f64 1 eps) (+.f64 (.f64 1/2 (+.f64 (.f64 -2 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 -1 (+.f64 (.f64 -1 x) x)) (+.f64 (.f64 -1 (/.f64 x eps)) (.f64 1/2 (/.f64 (pow.f64 x 2) eps)))))))
(+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (.f64 1/2 (+.f64 (.f64 -2 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (.f64 -1 (+.f64 (.f64 -1 x) x)) (+.f64 (.f64 eps (+.f64 (.f64 1/2 (+.f64 (.f64 -2 (pow.f64 x 2)) (pow.f64 x 2))) x)) (+.f64 (.f64 -1 (/.f64 x eps)) (*.f64 1/2 (/.f64 (pow.f64 x 2) eps))))))))
(+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (.f64 1/2 (+.f64 (.f64 -2 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (.f64 -1 (+.f64 (.f64 -1 x) x)) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 eps (+.f64 (.f64 1/2 (+.f64 (.f64 -2 (pow.f64 x 2)) (pow.f64 x 2))) x)) (+.f64 (.f64 -1 (/.f64 x eps)) (*.f64 1/2 (/.f64 (pow.f64 x 2) eps)))))))))
(.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 eps (+.f64 (.f64 1/2 (+.f64 (*.f64 -2 (pow.f64 x 2)) (pow.f64 x 2))) x)))
(+.f64 1 (+.f64 (.f64 1/2 (+.f64 (.f64 -2 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (.f64 -1 (+.f64 (.f64 -1 x) x)) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 eps (+.f64 (.f64 1/2 (+.f64 (*.f64 -2 (pow.f64 x 2)) (pow.f64 x 2))) x))))))
(+.f64 (/.f64 1 eps) (+.f64 (.f64 1/2 (+.f64 (.f64 -2 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 -1 (+.f64 (.f64 -1 x) x)) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 eps (+.f64 (.f64 1/2 (+.f64 (.f64 -2 (pow.f64 x 2)) (pow.f64 x 2))) x)) (+.f64 (.f64 -1 (/.f64 x eps)) (*.f64 1/2 (/.f64 (pow.f64 x 2) eps)))))))))
(.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 -1 (.f64 eps (+.f64 (.f64 -1 x) (.f64 1/2 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))))))))
(+.f64 1 (+.f64 (.f64 1/2 (+.f64 (.f64 -2 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (.f64 -1 (+.f64 (.f64 -1 x) x)) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 -1 (.f64 eps (+.f64 (.f64 -1 x) (.f64 1/2 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2)))))))))))
(+.f64 (.f64 1/2 (+.f64 (.f64 -2 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 -1 (+.f64 (.f64 -1 x) x)) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 eps (+.f64 (.f64 -1 x) (.f64 1/2 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))))))) (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) x) 1) eps)))))))
(/.f64 (pow.f64 x 2) eps)
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (pow.f64 x 2) (/.f64 (pow.f64 x 2) eps)))
(+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 eps (+.f64 (*.f64 -2 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (pow.f64 x 2) (/.f64 (pow.f64 x 2) eps))))
(+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 eps (+.f64 (.f64 -2 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (pow.f64 x 2) (+.f64 (/.f64 (pow.f64 x 2) eps) (.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(+.f64 (.f64 eps (+.f64 (.f64 -2 (pow.f64 x 2)) (pow.f64 x 2))) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (.f64 eps (+.f64 (.f64 -2 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (.f64 eps (+.f64 (.f64 -2 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 x 2) eps) (+.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) eps)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) eps)) (+.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) eps)) (+.f64 (/.f64 (pow.f64 x 2) eps) (+.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))
(.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))
(.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))
(.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))
(.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))
(.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))
(.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))
(.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))
(.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))
(.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))
(.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))
(.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))
(*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (.f64 -2 (.f64 eps (pow.f64 x 2))) (pow.f64 x 2))
(+.f64 (.f64 -2 (.f64 eps (pow.f64 x 2))) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (.f64 -2 (.f64 eps (pow.f64 x 2))) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(+.f64 (.f64 -2 (.f64 eps (pow.f64 x 2))) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (.f64 -2 (.f64 eps (pow.f64 x 2))) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (.f64 -2 (.f64 eps (pow.f64 x 2))) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(+.f64 (.f64 -2 (.f64 eps (pow.f64 x 2))) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (.f64 -2 (.f64 eps (pow.f64 x 2))) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (.f64 -2 (.f64 eps (pow.f64 x 2))) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
2
(+.f64 (.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) 2)
(+.f64 (.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (.f64 -1 (.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (+.f64 2 (.f64 (-.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 2))) (.f64 1/2 (.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 2))))
(+.f64 (.f64 1/6 (.f64 (-.f64 (/.f64 1 eps) 1) (.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))) (+.f64 (.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (.f64 -1 (.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (+.f64 2 (.f64 (-.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 2))) (.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 2)))))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (-.f64 1 eps) x))) (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) (+.f64 1 (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))))))) (.f64 (exp.f64 (.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) (+.f64 1 (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))))))) (.f64 (exp.f64 (.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))))
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(cbrt.f64 (pow.f64 (+.f64 (fma.f64 -1 (.f64 x (.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) (fma.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (.f64 x (-.f64 1 eps)) 2)) 1))) (.f64 (exp.f64 (+.f64 x (.f64 eps x))) (-.f64 1 (/.f64 1 eps)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 -1 (.f64 x (.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) (fma.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (.f64 x (-.f64 1 eps)) 2)) 1))) (.f64 (exp.f64 (+.f64 x (.f64 eps x))) (-.f64 1 (/.f64 1 eps))))))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 -1 (.f64 x (.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) (fma.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (.f64 x (-.f64 1 eps)) 2)) 1))) (.f64 (exp.f64 (+.f64 x (.f64 eps x))) (-.f64 1 (/.f64 1 eps))))))
(exp.f64 (log.f64 (+.f64 (fma.f64 -1 (.f64 x (.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) (fma.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (.f64 x (-.f64 1 eps)) 2)) 1))) (.f64 (exp.f64 (+.f64 x (.f64 eps x))) (-.f64 1 (/.f64 1 eps))))))
(exp.f64 (.f64 (log.f64 (+.f64 (fma.f64 -1 (.f64 x (.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) (fma.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (.f64 x (-.f64 1 eps)) 2)) 1))) (.f64 (exp.f64 (+.f64 x (*.f64 eps x))) (-.f64 1 (/.f64 1 eps))))) 1))
(fma.f64 1 (fma.f64 -1 (.f64 x (.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) (fma.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (.f64 x (-.f64 1 eps)) 2)) 1))) (.f64 (exp.f64 (+.f64 x (.f64 eps x))) (-.f64 1 (/.f64 1 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1 (.f64 x (.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) (fma.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (.f64 x (-.f64 1 eps)) 2)) 1)))) 2) (cbrt.f64 (fma.f64 -1 (.f64 x (.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) (fma.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (.f64 x (-.f64 1 eps)) 2)) 1)))) (.f64 (exp.f64 (+.f64 x (.f64 eps x))) (-.f64 1 (/.f64 1 eps))))
(fma.f64 (sqrt.f64 (fma.f64 -1 (.f64 x (.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) (fma.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (.f64 x (-.f64 1 eps)) 2)) 1)))) (sqrt.f64 (fma.f64 -1 (.f64 x (.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) (fma.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (.f64 x (-.f64 1 eps)) 2)) 1)))) (.f64 (exp.f64 (+.f64 x (.f64 eps x))) (-.f64 1 (/.f64 1 eps))))

Outputs
(+.f64 (/.f64 1 eps) 1)
(+.f64 1 (/.f64 1 eps))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) 1))
(fma.f64 -1 (.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (-.f64 1 eps) x)) (+.f64 1 (/.f64 1 eps)))
(fma.f64 (+.f64 -1 (/.f64 -1 eps)) (*.f64 (-.f64 1 eps) x) (+.f64 1 (/.f64 1 eps)))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) (+.f64 1 (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))))))
(fma.f64 -1 (.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (-.f64 1 eps) x)) (+.f64 (+.f64 1 (/.f64 1 eps)) (.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (pow.f64 (-.f64 1 eps) 2) (.f64 x x))))))
(+.f64 (fma.f64 (+.f64 1/2 (.f64 1/2 (/.f64 1 eps))) (pow.f64 (.f64 (-.f64 1 eps) x) 2) 1) (fma.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))) (/.f64 1 eps)))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) (+.f64 1 (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))))))
(fma.f64 -1 (.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (-.f64 1 eps) x)) (+.f64 (+.f64 1 (/.f64 1 eps)) (.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (pow.f64 (-.f64 1 eps) 2) (.f64 x x))))))
(+.f64 (fma.f64 (+.f64 1/2 (.f64 1/2 (/.f64 1 eps))) (pow.f64 (.f64 (-.f64 1 eps) x) 2) 1) (fma.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))) (/.f64 1 eps)))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))))
(.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (pow.f64 (-.f64 1 eps) 2) (.f64 x x))))
(.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 2) 1/2))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (-.f64 1 eps) x))) (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))))
(fma.f64 -1 (.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (-.f64 1 eps) x)) (.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (pow.f64 (-.f64 1 eps) 2) (.f64 x x)))))
(fma.f64 x (.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))) (.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (pow.f64 (.f64 (-.f64 1 eps) x) 2) 1/2)))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (pow.f64 (.f64 (-.f64 1 eps) x) 2) 1/2) (.f64 x (.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) (+.f64 1 (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))))))
(fma.f64 -1 (.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (-.f64 1 eps) x)) (+.f64 (+.f64 1 (/.f64 1 eps)) (.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (pow.f64 (-.f64 1 eps) 2) (.f64 x x))))))
(+.f64 (fma.f64 (+.f64 1/2 (.f64 1/2 (/.f64 1 eps))) (pow.f64 (.f64 (-.f64 1 eps) x) 2) 1) (fma.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))) (/.f64 1 eps)))
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(fma.f64 -1 (.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (-.f64 1 eps) x)) (+.f64 (+.f64 1 (/.f64 1 eps)) (.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (pow.f64 (-.f64 1 eps) 2) (.f64 x x))))))
(+.f64 (fma.f64 (+.f64 1/2 (.f64 1/2 (/.f64 1 eps))) (pow.f64 (.f64 (-.f64 1 eps) x) 2) 1) (fma.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))) (/.f64 1 eps)))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))))
(.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (pow.f64 (-.f64 1 eps) 2) (.f64 x x))))
(.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 2) 1/2))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (-.f64 1 eps) x))) (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))))
(fma.f64 -1 (.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (-.f64 1 eps) x)) (.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (pow.f64 (-.f64 1 eps) 2) (.f64 x x)))))
(fma.f64 x (.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))) (.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (pow.f64 (.f64 (-.f64 1 eps) x) 2) 1/2)))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (pow.f64 (.f64 (-.f64 1 eps) x) 2) 1/2) (.f64 x (.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) (+.f64 1 (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))))))
(fma.f64 -1 (.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (-.f64 1 eps) x)) (+.f64 (+.f64 1 (/.f64 1 eps)) (.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (pow.f64 (-.f64 1 eps) 2) (.f64 x x))))))
(+.f64 (fma.f64 (+.f64 1/2 (.f64 1/2 (/.f64 1 eps))) (pow.f64 (.f64 (-.f64 1 eps) x) 2) 1) (fma.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))) (/.f64 1 eps)))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) (+.f64 1 (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))))))
(fma.f64 -1 (.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (-.f64 1 eps) x)) (+.f64 (+.f64 1 (/.f64 1 eps)) (.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (pow.f64 (-.f64 1 eps) 2) (.f64 x x))))))
(+.f64 (fma.f64 (+.f64 1/2 (.f64 1/2 (/.f64 1 eps))) (pow.f64 (.f64 (-.f64 1 eps) x) 2) 1) (fma.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))) (/.f64 1 eps)))
(/.f64 (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x))) eps)
(/.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) eps)
(/.f64 (+.f64 1 (-.f64 (.f64 1/2 (.f64 x x)) x)) eps)
(+.f64 (/.f64 1 eps) (+.f64 (.f64 1/2 (+.f64 (.f64 -2 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 -1 (+.f64 (.f64 -1 x) x)) (+.f64 (.f64 -1 (/.f64 x eps)) (.f64 1/2 (/.f64 (pow.f64 x 2) eps)))))))
(+.f64 (/.f64 1 eps) (fma.f64 1/2 (neg.f64 (.f64 x x)) (+.f64 1 (fma.f64 -1 (.f64 0 x) (fma.f64 -1 (/.f64 x eps) (/.f64 (.f64 1/2 (.f64 x x)) eps))))))
(+.f64 1 (+.f64 (+.f64 (/.f64 (neg.f64 x) eps) (fma.f64 1/2 (/.f64 x (/.f64 eps x)) (.f64 x (.f64 x -1/2)))) (/.f64 1 eps)))
(+.f64 1 (+.f64 (fma.f64 1/2 (/.f64 x (/.f64 eps x)) (-.f64 (fma.f64 x (*.f64 x -1/2) 0) (/.f64 x eps))) (/.f64 1 eps)))
(+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (.f64 1/2 (+.f64 (.f64 -2 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (.f64 -1 (+.f64 (.f64 -1 x) x)) (+.f64 (.f64 eps (+.f64 (.f64 1/2 (+.f64 (.f64 -2 (pow.f64 x 2)) (pow.f64 x 2))) x)) (+.f64 (.f64 -1 (/.f64 x eps)) (*.f64 1/2 (/.f64 (pow.f64 x 2) eps))))))))
(+.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 1/2 (neg.f64 (.f64 x x)) (fma.f64 -1 (.f64 0 x) (fma.f64 eps (fma.f64 1/2 (neg.f64 (.f64 x x)) x) (fma.f64 -1 (/.f64 x eps) (/.f64 (.f64 1/2 (*.f64 x x)) eps))))))
(+.f64 1 (+.f64 (+.f64 (fma.f64 eps (fma.f64 (.f64 x x) -1/2 x) (/.f64 (neg.f64 x) eps)) (fma.f64 1/2 (/.f64 x (/.f64 eps x)) (.f64 x (*.f64 x -1/2)))) (/.f64 1 eps)))
(+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (.f64 1/2 (+.f64 (.f64 -2 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (.f64 -1 (+.f64 (.f64 -1 x) x)) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 eps (+.f64 (.f64 1/2 (+.f64 (.f64 -2 (pow.f64 x 2)) (pow.f64 x 2))) x)) (+.f64 (.f64 -1 (/.f64 x eps)) (*.f64 1/2 (/.f64 (pow.f64 x 2) eps)))))))))
(+.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 1/2 (neg.f64 (.f64 x x)) (fma.f64 -1 (.f64 0 x) (fma.f64 1/2 (.f64 (.f64 x x) (.f64 eps eps)) (fma.f64 eps (fma.f64 1/2 (neg.f64 (.f64 x x)) x) (fma.f64 -1 (/.f64 x eps) (/.f64 (.f64 1/2 (.f64 x x)) eps)))))))
(+.f64 1 (+.f64 (+.f64 (.f64 x (.f64 x -1/2)) (+.f64 (fma.f64 eps (fma.f64 (.f64 x x) -1/2 x) (/.f64 (neg.f64 x) eps)) (.f64 1/2 (fma.f64 (.f64 x x) (.f64 eps eps) (/.f64 x (/.f64 eps x)))))) (/.f64 1 eps)))
(.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(.f64 (.f64 1/2 (.f64 eps eps)) (.f64 x x))
(.f64 1/2 (.f64 (.f64 eps x) (.f64 eps x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 eps (+.f64 (.f64 1/2 (+.f64 (*.f64 -2 (pow.f64 x 2)) (pow.f64 x 2))) x)))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 eps eps)) (.f64 eps (fma.f64 1/2 (neg.f64 (*.f64 x x)) x)))
(fma.f64 eps (fma.f64 (.f64 x x) -1/2 x) (.f64 1/2 (.f64 (.f64 eps x) (*.f64 eps x))))
(+.f64 1 (+.f64 (.f64 1/2 (+.f64 (.f64 -2 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (.f64 -1 (+.f64 (.f64 -1 x) x)) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 eps (+.f64 (.f64 1/2 (+.f64 (*.f64 -2 (pow.f64 x 2)) (pow.f64 x 2))) x))))))
(+.f64 1 (fma.f64 1/2 (neg.f64 (.f64 x x)) (fma.f64 -1 (.f64 0 x) (fma.f64 1/2 (.f64 (.f64 x x) (.f64 eps eps)) (.f64 eps (fma.f64 1/2 (neg.f64 (*.f64 x x)) x))))))
(+.f64 1 (+.f64 (fma.f64 eps (fma.f64 (.f64 x x) -1/2 x) (.f64 1/2 (.f64 (.f64 eps x) (.f64 eps x)))) (.f64 x (*.f64 x -1/2))))
(+.f64 (/.f64 1 eps) (+.f64 (.f64 1/2 (+.f64 (.f64 -2 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 -1 (+.f64 (.f64 -1 x) x)) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 eps (+.f64 (.f64 1/2 (+.f64 (.f64 -2 (pow.f64 x 2)) (pow.f64 x 2))) x)) (+.f64 (.f64 -1 (/.f64 x eps)) (*.f64 1/2 (/.f64 (pow.f64 x 2) eps)))))))))
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(+.f64 1 (+.f64 (+.f64 (.f64 x (.f64 x -1/2)) (+.f64 (fma.f64 eps (fma.f64 (.f64 x x) -1/2 x) (/.f64 (neg.f64 x) eps)) (.f64 1/2 (fma.f64 (.f64 x x) (.f64 eps eps) (/.f64 x (/.f64 eps x)))))) (/.f64 1 eps)))
(.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(.f64 (.f64 1/2 (.f64 eps eps)) (.f64 x x))
(.f64 1/2 (.f64 (.f64 eps x) (.f64 eps x)))
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(fma.f64 1/2 (.f64 (.f64 x x) (.f64 eps eps)) (.f64 (neg.f64 eps) (fma.f64 -1 x (.f64 1/2 (.f64 (*.f64 x x) 1)))))
(-.f64 (.f64 1/2 (.f64 (.f64 eps x) (.f64 eps x))) (.f64 eps (-.f64 (.f64 1/2 (*.f64 x x)) x)))
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(/.f64 (pow.f64 x 2) eps)
(/.f64 (*.f64 x x) eps)
(/.f64 x (/.f64 eps x))
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (pow.f64 x 2) (/.f64 (pow.f64 x 2) eps)))
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(fma.f64 -1 (*.f64 x x) (/.f64 x (/.f64 eps x)))
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2
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(fma.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (+.f64 (fma.f64 (+.f64 1/2 (.f64 1/2 (/.f64 1 eps))) (pow.f64 (.f64 (-.f64 1 eps) x) 2) 1) (fma.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))) (/.f64 1 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1 (.f64 x (.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) (fma.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (.f64 x (-.f64 1 eps)) 2)) 1)))) 2) (cbrt.f64 (fma.f64 -1 (.f64 x (.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) (fma.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (.f64 x (-.f64 1 eps)) 2)) 1)))) (.f64 (exp.f64 (+.f64 x (.f64 eps x))) (-.f64 1 (/.f64 1 eps))))
(+.f64 (fma.f64 -1 (.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (-.f64 1 eps) x)) (+.f64 (/.f64 1 eps) (fma.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (.f64 (-.f64 1 eps) x) 2)) 1))) (.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (.f64 eps x)))))
(fma.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (+.f64 (fma.f64 (+.f64 1/2 (.f64 1/2 (/.f64 1 eps))) (pow.f64 (.f64 (-.f64 1 eps) x) 2) 1) (fma.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))) (/.f64 1 eps))))
(fma.f64 (sqrt.f64 (fma.f64 -1 (.f64 x (.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) (fma.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (.f64 x (-.f64 1 eps)) 2)) 1)))) (sqrt.f64 (fma.f64 -1 (.f64 x (.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) (fma.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (.f64 x (-.f64 1 eps)) 2)) 1)))) (.f64 (exp.f64 (+.f64 x (.f64 eps x))) (-.f64 1 (/.f64 1 eps))))
(+.f64 (fma.f64 -1 (.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (-.f64 1 eps) x)) (+.f64 (/.f64 1 eps) (fma.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (.f64 (-.f64 1 eps) x) 2)) 1))) (.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (.f64 eps x)))))
(fma.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (+.f64 (fma.f64 (+.f64 1/2 (.f64 1/2 (/.f64 1 eps))) (pow.f64 (.f64 (-.f64 1 eps) x) 2) 1) (fma.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))) (/.f64 1 eps))))

eval718.0ms (5.7%)

Compiler: Compiled 42545 to 27469 computations (35.4% saved)

prune337.0ms (2.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	1137	7	1144
Fresh	1	2	3
Picked	1	0	1
Done	3	2	5
Total	1142	11	1153

Error

Counts

1153 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	46.7b	(/.f64 (/.f64 x (/.f64 (exp.f64 x) 2)) 2)
▶	49.7b	(/.f64 (-.f64 (fma.f64 -1 (.f64 (.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))) (+.f64 (/.f64 1 eps) (+.f64 1 (.f64 1/2 (.f64 (.f64 x x) (.f64 eps eps)))))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
▶	49.0b	(/.f64 (-.f64 (+.f64 1 (+.f64 (-.f64 (.f64 1/2 (.f64 (.f64 eps x) (.f64 eps x))) (.f64 eps (-.f64 (.f64 1/2 (.f64 x x)) x))) (.f64 x (.f64 x -1/2)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
	47.2b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (+.f64 (/.f64 1 eps) (.f64 -1 (.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))) 1)) 2)
✓	31.7b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
	15.9b	(/.f64 (-.f64 2 (*.f64 x x)) 2)
	0.2b	(/.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x))) (/.f64 x (exp.f64 x))) 2)
▶	0.2b	(/.f64 (*.f64 (/.f64 2 (exp.f64 x)) (+.f64 x 1)) 2)
	0.2b	(/.f64 (*.f64 2 (+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))) 2)
▶	15.8b	(/.f64 2 2)
✓	47.0b	(/.f64 0 2)

Compiler

Compiled 428 to 323 computations (24.5% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 2 (exp.f64 x))
✓	0.0b	(*.f64 (/.f64 2 (exp.f64 x)) (+.f64 x 1))

Compiler

Compiled 32 to 21 computations (34.4% saved)

series6.0ms (0%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(*.f64 (/.f64 2 (exp.f64 x)) (+.f64 x 1))
1.0ms	x	@	-inf	(*.f64 (/.f64 2 (exp.f64 x)) (+.f64 x 1))
0.0ms	x	@	-inf	(/.f64 2 (exp.f64 x))
0.0ms	x	@	inf	(/.f64 2 (exp.f64 x))
0.0ms	x	@	0	(*.f64 (/.f64 2 (exp.f64 x)) (+.f64 x 1))

rewrite48.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

881×	`pow1_binary64`
825×	`add-log-exp_binary64`
825×	`log1p-expm1-u_binary64`
825×	`expm1-log1p-u_binary64`
809×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	174	18
2	2318	18

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (exp.f64 x)) (*.f64 x (/.f64 2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 2 (exp.f64 x))) (/.f64 2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (/.f64 2 (exp.f64 x))) 1) (/.f64 2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 2 (*.f64 2 x)) (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (exp.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 x) (+.f64 2 (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x 1) (*.f64 (exp.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (*.f64 (exp.f64 x) 1/2) (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1) (*.f64 (*.f64 (exp.f64 x) 1/2) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (*.f64 2 x)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 2 (*.f64 2 x))) (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 1 (pow.f64 x 3))) (*.f64 (exp.f64 x) (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (+.f64 1 (pow.f64 x 3))) (*.f64 (neg.f64 (exp.f64 x)) (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (fma.f64 x x -1)) (*.f64 (exp.f64 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (fma.f64 x x -1)) (*.f64 (neg.f64 (exp.f64 x)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 2) (*.f64 (fma.f64 x x (-.f64 1 x)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) 2) (*.f64 (+.f64 x -1) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1) (*.f64 (fma.f64 x x (-.f64 1 x)) (*.f64 (exp.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) 1) (*.f64 (+.f64 x -1) (*.f64 (exp.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) -2) (*.f64 (fma.f64 x x (-.f64 1 x)) (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) -2) (*.f64 (+.f64 x -1) (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 2 (exp.f64 x))) 3) (pow.f64 (/.f64 2 (exp.f64 x)) 3)) (+.f64 (*.f64 (*.f64 x (/.f64 2 (exp.f64 x))) (*.f64 x (/.f64 2 (exp.f64 x)))) (-.f64 (/.f64 4 (pow.f64 (exp.f64 x) 2)) (*.f64 (*.f64 x (/.f64 2 (exp.f64 x))) (/.f64 2 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (/.f64 2 (exp.f64 x))) (*.f64 x (/.f64 2 (exp.f64 x)))) (/.f64 4 (pow.f64 (exp.f64 x) 2))) (-.f64 (*.f64 x (/.f64 2 (exp.f64 x))) (/.f64 2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 2 (*.f64 2 x)) 1) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 2 (*.f64 2 x)) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (+.f64 x 1)) (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 2 (exp.f64 x))) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) (/.f64 2 (exp.f64 x))) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 2 (exp.f64 x)) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 2 (exp.f64 x)) (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 1) -2) (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 2 (*.f64 2 x)) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 2 (*.f64 2 x)) (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (*.f64 2 x)) (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 2 (*.f64 2 x)) (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 2 (*.f64 2 x)) (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (/.f64 2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 2 (*.f64 2 x)) (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 2 (exp.f64 x)) 3) (pow.f64 (+.f64 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (/.f64 2 (exp.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 2 (*.f64 2 x)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 2 (*.f64 2 x)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 x) (-.f64 (log.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 2 (exp.f64 x)) (/.f64 2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (exp.f64 x)) x (/.f64 2 (exp.f64 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 2 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (exp.f64 (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (exp.f64 x))) (pow.f64 (cbrt.f64 (/.f64 2 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 (exp.f64 x))) 2) (cbrt.f64 (/.f64 2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 (exp.f64 x))) 2) (*.f64 (cbrt.f64 (/.f64 2 (exp.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 (exp.f64 x))) (sqrt.f64 (/.f64 2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 (exp.f64 x))) (*.f64 (sqrt.f64 (/.f64 2 (exp.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 x) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 2) x))))))

simplify45.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

632×	`fma-def_binary64`
611×	`associate-/l*_binary64`
482×	`unswap-sqr_binary64`
419×	`associate-*l/_binary64`
190×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	198	1265
1	540	1099
2	2231	985

Stop Event

1×	node limit

Counts

85 → 116

Calls

Call 1

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

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

localize3.0ms (0%)

Compiler: Compiled 6 to 6 computations (0% saved)

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (/.f64 (exp.f64 x) 2))

Compiler

Compiled 24 to 14 computations (41.7% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 x (/.f64 (exp.f64 x) 2))
0.0ms	x	@	inf	(/.f64 x (/.f64 (exp.f64 x) 2))
0.0ms	x	@	0	(/.f64 x (/.f64 (exp.f64 x) 2))

rewrite41.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

694×	`pow1_binary64`
651×	`add-log-exp_binary64`
651×	`log1p-expm1-u_binary64`
651×	`expm1-log1p-u_binary64`
638×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	132	9
2	1770	9

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(/.f64 x (/.f64 (exp.f64 x) 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 2 (/.f64 x (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (/.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (/.f64 x (exp.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x (exp.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x (exp.f64 x)))) 2) (cbrt.f64 (*.f64 2 (/.f64 x (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (/.f64 x (exp.f64 x)))) (sqrt.f64 (*.f64 2 (/.f64 x (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (*.f64 (exp.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (exp.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (exp.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 x)) (/.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (exp.f64 x)) (/.f64 (cbrt.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (exp.f64 x)) (/.f64 (sqrt.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (*.f64 (exp.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (*.f64 (exp.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) 1/2)) 2)) (/.f64 x (cbrt.f64 (*.f64 (exp.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) 1/2)) 2)) (cbrt.f64 (*.f64 2 (/.f64 x (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) 1/2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 (exp.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (exp.f64 x) 1/2))) (/.f64 x (sqrt.f64 (*.f64 (exp.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (*.f64 (exp.f64 x) 1/2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 (exp.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 (exp.f64 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x (exp.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (/.f64 x (exp.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 x) (*.f64 x 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (*.f64 (exp.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (*.f64 (exp.f64 x) 1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (-.f64 (log.f64 x) x) (log.f64 2)))))))

simplify41.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

550×	`fma-def_binary64`
381×	`associate-*l/_binary64`
324×	`associate-/l*_binary64`
320×	`distribute-rgt-in_binary64`
294×	`associate-*r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	117	529
1	297	529
2	981	526
3	4507	520

Stop Event

1×	node limit

Counts

50 → 58

Calls

Call 1

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

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

localize75.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))
✓	0.2b	(.f64 (.f64 eps x) (*.f64 eps x))
✓	2.3b	(+.f64 (-.f64 (.f64 1/2 (.f64 (.f64 eps x) (.f64 eps x))) (.f64 eps (-.f64 (.f64 1/2 (.f64 x x)) x))) (.f64 x (*.f64 x -1/2)))
✓	4.0b	(.f64 eps (-.f64 (.f64 1/2 (*.f64 x x)) x))

Compiler

Compiled 254 to 130 computations (48.8% saved)

series10.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	0	(+.f64 (-.f64 (.f64 1/2 (.f64 (.f64 eps x) (.f64 eps x))) (.f64 eps (-.f64 (.f64 1/2 (.f64 x x)) x))) (.f64 x (*.f64 x -1/2)))
1.0ms	eps	@	0	(.f64 eps (-.f64 (.f64 1/2 (*.f64 x x)) x))
1.0ms	x	@	inf	(.f64 eps (-.f64 (.f64 1/2 (*.f64 x x)) x))
1.0ms	x	@	0	(+.f64 (-.f64 (.f64 1/2 (.f64 (.f64 eps x) (.f64 eps x))) (.f64 eps (-.f64 (.f64 1/2 (.f64 x x)) x))) (.f64 x (*.f64 x -1/2)))
1.0ms	x	@	inf	(+.f64 (-.f64 (.f64 1/2 (.f64 (.f64 eps x) (.f64 eps x))) (.f64 eps (-.f64 (.f64 1/2 (.f64 x x)) x))) (.f64 x (*.f64 x -1/2)))

rewrite75.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

691×	`fma-neg_binary64`
308×	`expm1-udef_binary64`
308×	`log1p-udef_binary64`
246×	`log-pow_binary64`
193×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	54
1	375	52
2	5616	48

Stop Event

1×	node limit

Counts

3 → 108

Calls

Call 1

Inputs

(*.f64 eps (-.f64 (*.f64 1/2 (*.f64 x x)) x))

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

(*.f64 (*.f64 eps x) (*.f64 eps x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 1/2 x)) eps) (*.f64 (neg.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (*.f64 x (*.f64 1/2 x))) (*.f64 eps (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 x (fma.f64 1/2 x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 1/2 x)) 3) (pow.f64 x 3)) eps) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 x (fma.f64 1/2 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 x x)) eps) (fma.f64 1/2 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (-.f64 (pow.f64 (*.f64 x (*.f64 1/2 x)) 3) (pow.f64 x 3))) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 x (fma.f64 1/2 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (-.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 x x))) (fma.f64 1/2 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (*.f64 x (fma.f64 1/2 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x (fma.f64 1/2 x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 eps (*.f64 x (fma.f64 1/2 x -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (*.f64 x (fma.f64 1/2 x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (*.f64 x (fma.f64 1/2 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (*.f64 x (fma.f64 1/2 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 x (fma.f64 1/2 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (*.f64 x (fma.f64 1/2 x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (*.f64 x (fma.f64 1/2 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (*.f64 x (fma.f64 1/2 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (*.f64 x (fma.f64 1/2 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 x (fma.f64 1/2 x -1)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (pow.f64 (*.f64 eps x) 2)) (-.f64 (*.f64 eps (*.f64 x (fma.f64 1/2 x -1))) (*.f64 x (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) (fma.f64 1/2 (pow.f64 (*.f64 eps x) 2) (*.f64 (*.f64 x (fma.f64 1/2 x -1)) (neg.f64 eps)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 1/2 (pow.f64 (*.f64 eps x) 2) (*.f64 (*.f64 x (fma.f64 1/2 x -1)) (neg.f64 eps))) 2) (-.f64 (fma.f64 1/2 (pow.f64 (*.f64 eps x) 2) (*.f64 (*.f64 x (fma.f64 1/2 x -1)) (neg.f64 eps))) (*.f64 x (*.f64 1/2 x)))) (/.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 (fma.f64 1/2 (pow.f64 (*.f64 eps x) 2) (*.f64 (*.f64 x (fma.f64 1/2 x -1)) (neg.f64 eps))) (*.f64 x (*.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (*.f64 1/2 x)) (*.f64 1/2 (pow.f64 (*.f64 eps x) 2))) (*.f64 eps (*.f64 x (fma.f64 1/2 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x -1/2) (fma.f64 1/2 (pow.f64 (*.f64 eps x) 2) (*.f64 (*.f64 x (fma.f64 1/2 x -1)) (neg.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 x -1/2) (fma.f64 1/2 (pow.f64 (*.f64 eps x) 2) (*.f64 (*.f64 x (fma.f64 1/2 x -1)) (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (fma.f64 1/2 (pow.f64 (*.f64 eps x) 2) (*.f64 (*.f64 x (fma.f64 1/2 x -1)) (neg.f64 eps))))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (fma.f64 1/2 (pow.f64 (*.f64 eps x) 2) (*.f64 (*.f64 x (fma.f64 1/2 x -1)) (neg.f64 eps))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (fma.f64 1/2 (pow.f64 (*.f64 eps x) 2) (*.f64 (*.f64 x (fma.f64 1/2 x -1)) (neg.f64 eps))))) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (fma.f64 1/2 (pow.f64 (*.f64 eps x) 2) (*.f64 (*.f64 x (fma.f64 1/2 x -1)) (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 eps x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (*.f64 eps x) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 eps x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 eps x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 eps x) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 eps x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 eps x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 eps x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 eps x))) 1))))))

simplify86.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

564×	`distribute-rgt-in_binary64`
506×	`times-frac_binary64`
495×	`unswap-sqr_binary64`
330×	`fma-neg_binary64`
248×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	305	4933
1	822	4370
2	2689	4132

Stop Event

1×	node limit

Counts

180 → 188

Calls

Call 1

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

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

localize77.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))
✓	0.2b	(.f64 (.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))
✓	4.2b	(-.f64 (fma.f64 -1 (.f64 (.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))) (+.f64 (/.f64 1 eps) (+.f64 1 (.f64 1/2 (.f64 (.f64 x x) (.f64 eps eps)))))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x)))))
✓	13.4b	(.f64 (.f64 x x) (*.f64 eps eps))

Compiler

Compiled 233 to 137 computations (41.2% saved)

series7.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite51.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

293×	`add-sqr-sqrt_binary64`
287×	`*-un-lft-identity_binary64`
287×	`pow1_binary64`
271×	`add-cbrt-cube_binary64`
271×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	89
1	571	78

Stop Event

1×	node limit

Counts

3 → 87

Calls

Call 1

Inputs

(*.f64 (*.f64 x x) (*.f64 eps eps))

(-.f64 (fma.f64 -1 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))) (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 1/2 (*.f64 (*.f64 x x) (*.f64 eps eps)))))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))

(*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))

Outputs

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simplify98.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

829×	`times-frac_binary64`
493×	`fma-neg_binary64`
314×	`fma-def_binary64`
204×	`associate-r_binary64`
204×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	366	5853
1	1171	5335
2	4968	5298

Stop Event

1×	node limit

Counts

159 → 199

Calls

Call 1

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

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

eval471.0ms (3.7%)

Compiler: Compiled 29538 to 19354 computations (34.5% saved)

prune151.0ms (1.2%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	691	8	699
Fresh	2	2	4
Picked	1	0	1
Done	2	4	6
Total	696	14	710

Error

Counts

710 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(/.f64 (/.f64 (+.f64 x 1) (*.f64 (exp.f64 x) 1/2)) 2)
✓	46.7b	(/.f64 (/.f64 x (/.f64 (exp.f64 x) 2)) 2)
	49.7b	(/.f64 (-.f64 (fma.f64 -1 (.f64 (neg.f64 eps) x) (+.f64 (/.f64 1 eps) (+.f64 1 (.f64 1/2 (.f64 (.f64 x x) (.f64 eps eps)))))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
▶	49.1b	(/.f64 (-.f64 (+.f64 1 (+.f64 (-.f64 (.f64 1/2 (.f64 (.f64 eps x) (.f64 eps x))) (.f64 eps (-.f64 (.f64 1/2 (.f64 x x)) x))) (.f64 x (.f64 x -1/2)))) (-.f64 (+.f64 (/.f64 1 eps) (.f64 -1 (.f64 (-.f64 (/.f64 1 eps) 1) (.f64 (+.f64 1 eps) x)))) 1)) 2)
▶	51.5b	(/.f64 (-.f64 (+.f64 1 (.f64 x (+.f64 eps (.f64 (+.f64 (.f64 1/2 (-.f64 (.f64 eps eps) eps)) -1/2) x)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
	47.2b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (+.f64 (/.f64 1 eps) (.f64 -1 (.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))) 1)) 2)
✓	31.7b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
	15.9b	(/.f64 (-.f64 2 (*.f64 x x)) 2)
▶	61.9b	(/.f64 (+.f64 x x) 2)
	16.0b	(/.f64 (.f64 (+.f64 2 (.f64 x (+.f64 x -2))) (+.f64 x 1)) 2)
	0.2b	(/.f64 (.f64 (.f64 (exp.f64 (neg.f64 x)) 2) (+.f64 x 1)) 2)
▶	62.0b	(/.f64 (.f64 x (+.f64 2 (.f64 x -2))) 2)
✓	15.8b	(/.f64 2 2)
✓	47.0b	(/.f64 0 2)

Compiler

Compiled 509 to 392 computations (23% saved)

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 x 1) (*.f64 (exp.f64 x) 1/2))

Compiler

Compiled 33 to 22 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite44.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

898×	`pow1_binary64`
840×	`log1p-expm1-u_binary64`
840×	`expm1-log1p-u_binary64`
839×	`add-log-exp_binary64`
823×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	168	11
2	2249	11

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (/.f64 2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2)) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2)) 2) (cbrt.f64 (*.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2)) (sqrt.f64 (*.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (neg.f64 x)) (/.f64 1 (*.f64 (exp.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (exp.f64 x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (exp.f64 (-.f64 (log1p.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (exp.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (exp.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (exp.f64 x)) (/.f64 (+.f64 x 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (exp.f64 x)) (/.f64 (cbrt.f64 (+.f64 x 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (exp.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1/2) (/.f64 (sqrt.f64 (+.f64 x 1)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (/.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) 1/2)) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 (*.f64 (exp.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) 1/2)) 2)) (cbrt.f64 (*.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) 1/2)) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (*.f64 (exp.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (exp.f64 x) 1/2))) (/.f64 (+.f64 x 1) (sqrt.f64 (*.f64 (exp.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (*.f64 (exp.f64 x) 1/2))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (*.f64 (exp.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 (exp.f64 (-.f64 (log1p.f64 x) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x 1) (*.f64 (exp.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (*.f64 (exp.f64 x) 1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (-.f64 (log1p.f64 x) x) (log.f64 1/2)))))))

simplify45.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

803×	`fma-def_binary64`
525×	`associate-l_binary64`
483×	`associate-r_binary64`
285×	`associate-/l*_binary64`
231×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	122	794
1	330	664
2	1051	559
3	5402	548

Stop Event

1×	node limit

Counts

50 → 63

Calls

Call 1

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

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

localize4.0ms (0%)

Compiler: Compiled 12 to 6 computations (50% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (+.f64 2 (.f64 x -2)))

Compiler

Compiled 29 to 22 computations (24.1% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite45.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

799×	`pow1_binary64`
748×	`add-log-exp_binary64`
747×	`log1p-expm1-u_binary64`
747×	`expm1-log1p-u_binary64`
735×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	157	8
2	2040	8

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 2) (*.f64 x (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -2)) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 2) 1) (*.f64 (*.f64 x (*.f64 x -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 x -2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 2) 3) (pow.f64 (*.f64 x (*.f64 x -2)) 3)) (+.f64 (*.f64 (*.f64 x 2) (*.f64 x 2)) (-.f64 (*.f64 (*.f64 x (*.f64 x -2)) (*.f64 x (*.f64 x -2))) (*.f64 (*.f64 x 2) (*.f64 x (*.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 2) (*.f64 x 2)) (*.f64 (*.f64 x (*.f64 x -2)) (*.f64 x (*.f64 x -2)))) (-.f64 (*.f64 x 2) (*.f64 x (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (*.f64 (pow.f64 x 3) -8)) x) (+.f64 4 (-.f64 (*.f64 4 (*.f64 x x)) (*.f64 -4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 4 (*.f64 x x))) x) (+.f64 2 (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 8 (*.f64 (pow.f64 x 3) -8))) (+.f64 4 (-.f64 (*.f64 4 (*.f64 x x)) (*.f64 -4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 4 (*.f64 4 (*.f64 x x)))) (+.f64 2 (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x -2 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x -2 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -2 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -2 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x -2 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -2 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -2 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -2 2) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x -2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2 (*.f64 x (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x (*.f64 x (*.f64 x -2)))))))

simplify42.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

763×	`fma-neg_binary64`
572×	`times-frac_binary64`
451×	`div-sub_binary64`
426×	`fma-def_binary64`
302×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	372
1	260	352
2	1144	333
3	5542	333

Stop Event

1×	node limit

Counts

36 → 38

Calls

Call 1

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

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

localize86.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 eps x) (*.f64 eps x))
	2.3b	(+.f64 (-.f64 (.f64 1/2 (.f64 (.f64 eps x) (.f64 eps x))) (.f64 eps (-.f64 (.f64 1/2 (.f64 x x)) x))) (.f64 x (*.f64 x -1/2)))
✓	2.8b	(-.f64 (+.f64 1 (+.f64 (-.f64 (.f64 1/2 (.f64 (.f64 eps x) (.f64 eps x))) (.f64 eps (-.f64 (.f64 1/2 (.f64 x x)) x))) (.f64 x (.f64 x -1/2)))) (-.f64 (+.f64 (/.f64 1 eps) (.f64 -1 (.f64 (-.f64 (/.f64 1 eps) 1) (.f64 (+.f64 1 eps) x)))) 1))
	4.0b	(.f64 eps (-.f64 (.f64 1/2 (*.f64 x x)) x))

Compiler

Compiled 303 to 174 computations (42.6% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite43.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

352×	`add-sqr-sqrt_binary64`
344×	`*-un-lft-identity_binary64`
344×	`pow1_binary64`
327×	`add-cbrt-cube_binary64`
326×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	66
1	675	62

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

Inputs

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 (*.f64 1/2 (pow.f64 (*.f64 eps x) 2)) (*.f64 eps (-.f64 (*.f64 1/2 (*.f64 x x)) x)))) (+.f64 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps)))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (fma.f64 x (*.f64 x -1/2) (-.f64 (*.f64 1/2 (pow.f64 (*.f64 eps x) 2)) (*.f64 eps (-.f64 (*.f64 1/2 (*.f64 x x)) x))))) (neg.f64 (+.f64 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps)))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 1 (fma.f64 x (*.f64 x -1/2) (-.f64 (*.f64 1/2 (pow.f64 (*.f64 eps x) 2)) (*.f64 eps (-.f64 (*.f64 1/2 (*.f64 x x)) x))))) (+.f64 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps)))) -1)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps)))) -1))) (sqrt.f64 (+.f64 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 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(*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps)))) -1)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps)))) -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (hypot.f64 1 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 (*.f64 1/2 (pow.f64 (*.f64 eps x) 2)) (*.f64 eps (-.f64 (*.f64 1/2 (*.f64 x x)) x)))))) (hypot.f64 1 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 (*.f64 1/2 (pow.f64 (*.f64 eps x) 2)) (*.f64 eps (-.f64 (*.f64 1/2 (*.f64 x x)) x)))))) (neg.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps)))) -1)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps)))) -1)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps)))) -1))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps)))) -1)) 2) (*.f64 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simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

425×	`associate--l+_binary64`
367×	`associate--r+_binary64`
279×	`associate-+l-_binary64`
271×	`times-frac_binary64`
230×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	218	4625
1	762	3985
2	2991	3247

Stop Event

1×	node limit

Counts

60 → 112

Calls

Call 1

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

Outputs
(.f64 -1 (/.f64 (+.f64 1 (.f64 -1 x)) eps))
(neg.f64 (/.f64 (-.f64 1 x) eps))
(/.f64 (+.f64 -1 x) eps)
(-.f64 (+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 x)) eps)))) (.f64 -1 (+.f64 (*.f64 -1 x) x)))
(+.f64 2 (-.f64 (fma.f64 -1/2 (.f64 x x) (neg.f64 (/.f64 (-.f64 1 x) eps))) (neg.f64 (.f64 0 x))))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) (/.f64 (+.f64 -1 x) eps)))
(+.f64 2 (fma.f64 x (*.f64 x -1/2) (/.f64 (+.f64 -1 x) eps)))
(-.f64 (+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 x)) eps))))) (.f64 -1 (+.f64 (*.f64 -1 x) x)))
(-.f64 (+.f64 2 (fma.f64 -1/2 (.f64 x x) (fma.f64 -1/2 (.f64 eps (.f64 x x)) (neg.f64 (/.f64 (-.f64 1 x) eps))))) (neg.f64 (.f64 0 x)))
(+.f64 2 (fma.f64 -1/2 (.f64 (+.f64 1 eps) (.f64 x x)) (/.f64 (+.f64 -1 x) eps)))
(+.f64 2 (fma.f64 -1/2 (.f64 x (+.f64 x (.f64 x eps))) (/.f64 (+.f64 -1 x) eps)))
(-.f64 (+.f64 2 (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 x)) eps)))))) (.f64 -1 (+.f64 (*.f64 -1 x) x)))
(+.f64 2 (-.f64 (fma.f64 1/2 (.f64 (.f64 x x) (.f64 eps eps)) (fma.f64 -1/2 (.f64 x x) (fma.f64 -1/2 (.f64 eps (.f64 x x)) (neg.f64 (/.f64 (-.f64 1 x) eps))))) (neg.f64 (*.f64 0 x))))
(+.f64 2 (fma.f64 1/2 (pow.f64 (.f64 x eps) 2) (fma.f64 -1/2 (.f64 (+.f64 1 eps) (*.f64 x x)) (/.f64 (+.f64 -1 x) eps))))
(+.f64 (fma.f64 (.f64 x x) (+.f64 (.f64 eps (-.f64 (*.f64 eps 1/2) 1/2)) -1/2) 2) (/.f64 (+.f64 -1 x) eps))
(.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 x x) (.f64 eps eps)))
(.f64 1/2 (pow.f64 (.f64 x eps) 2))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 -1/2 (.f64 eps (pow.f64 x 2))))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 eps eps)) (.f64 -1/2 (.f64 eps (.f64 x x))))
(.f64 (.f64 x x) (+.f64 (.f64 eps -1/2) (.f64 1/2 (*.f64 eps eps))))
(.f64 (.f64 x x) (.f64 eps (+.f64 -1/2 (.f64 eps 1/2))))
(-.f64 (+.f64 2 (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/2 (.f64 eps (pow.f64 x 2)))))) (.f64 -1 (+.f64 (*.f64 -1 x) x)))
(-.f64 (+.f64 2 (fma.f64 1/2 (.f64 (.f64 x x) (.f64 eps eps)) (.f64 -1/2 (+.f64 (.f64 x x) (.f64 eps (.f64 x x)))))) (neg.f64 (.f64 0 x)))
(+.f64 2 (fma.f64 1/2 (pow.f64 (.f64 x eps) 2) (.f64 -1/2 (.f64 (+.f64 1 eps) (.f64 x x)))))
(fma.f64 (.f64 x x) (+.f64 (.f64 eps (-.f64 (*.f64 eps 1/2) 1/2)) -1/2) 2)
(-.f64 (+.f64 2 (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 x)) eps)))))) (.f64 -1 (+.f64 (*.f64 -1 x) x)))
(+.f64 2 (-.f64 (fma.f64 1/2 (.f64 (.f64 x x) (.f64 eps eps)) (fma.f64 -1/2 (.f64 x x) (fma.f64 -1/2 (.f64 eps (.f64 x x)) (neg.f64 (/.f64 (-.f64 1 x) eps))))) (neg.f64 (*.f64 0 x))))
(+.f64 2 (fma.f64 1/2 (pow.f64 (.f64 x eps) 2) (fma.f64 -1/2 (.f64 (+.f64 1 eps) (*.f64 x x)) (/.f64 (+.f64 -1 x) eps))))
(+.f64 (fma.f64 (.f64 x x) (+.f64 (.f64 eps (-.f64 (*.f64 eps 1/2) 1/2)) -1/2) 2) (/.f64 (+.f64 -1 x) eps))
(.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 x x) (.f64 eps eps)))
(.f64 1/2 (pow.f64 (.f64 x eps) 2))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 eps (+.f64 (.f64 -1 x) (.f64 -1 (-.f64 (.f64 1/2 (pow.f64 x 2)) x)))))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 eps eps)) (.f64 -1/2 (.f64 eps (.f64 x x))))
(.f64 (.f64 x x) (+.f64 (.f64 eps -1/2) (.f64 1/2 (*.f64 eps eps))))
(.f64 (.f64 x x) (.f64 eps (+.f64 -1/2 (.f64 eps 1/2))))
(-.f64 (+.f64 2 (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 eps (+.f64 (.f64 -1 x) (.f64 -1 (-.f64 (.f64 1/2 (pow.f64 x 2)) x)))) (.f64 -1/2 (pow.f64 x 2))))) (.f64 -1 (+.f64 (*.f64 -1 x) x)))
(-.f64 (+.f64 2 (fma.f64 1/2 (.f64 (.f64 x x) (.f64 eps eps)) (.f64 -1/2 (+.f64 (.f64 x x) (.f64 eps (.f64 x x)))))) (neg.f64 (.f64 0 x)))
(+.f64 2 (fma.f64 1/2 (pow.f64 (.f64 x eps) 2) (.f64 -1/2 (.f64 (+.f64 1 eps) (.f64 x x)))))
(fma.f64 (.f64 x x) (+.f64 (.f64 eps (-.f64 (*.f64 eps 1/2) 1/2)) -1/2) 2)
(-.f64 (+.f64 2 (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 eps (+.f64 (.f64 -1 x) (.f64 -1 (-.f64 (.f64 1/2 (pow.f64 x 2)) x)))) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 (/.f64 (-.f64 1 x) eps)))))) (.f64 -1 (+.f64 (.f64 -1 x) x)))
(+.f64 2 (-.f64 (fma.f64 1/2 (.f64 (.f64 x x) (.f64 eps eps)) (fma.f64 -1/2 (.f64 x x) (fma.f64 -1/2 (.f64 eps (.f64 x x)) (neg.f64 (/.f64 (-.f64 1 x) eps))))) (neg.f64 (*.f64 0 x))))
(+.f64 2 (fma.f64 1/2 (pow.f64 (.f64 x eps) 2) (fma.f64 -1/2 (.f64 (+.f64 1 eps) (*.f64 x x)) (/.f64 (+.f64 -1 x) eps))))
(+.f64 (fma.f64 (.f64 x x) (+.f64 (.f64 eps (-.f64 (*.f64 eps 1/2) 1/2)) -1/2) 2) (/.f64 (+.f64 -1 x) eps))
(-.f64 2 (/.f64 1 eps))
(+.f64 2 (/.f64 -1 eps))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 eps) (.f64 -1 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)))) x)) 2) (/.f64 1 eps))
(-.f64 (fma.f64 -1 (.f64 x (.f64 -1 (+.f64 eps (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps))))) 2) (/.f64 1 eps))
(+.f64 (fma.f64 (*.f64 1 (fma.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps) eps)) x 2) (/.f64 -1 eps))
(fma.f64 (fma.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps) eps) x (+.f64 2 (/.f64 -1 eps)))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 eps) (.f64 -1 (.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)))) x)) (+.f64 2 (.f64 (-.f64 (.f64 1/2 (pow.f64 eps 2)) (+.f64 1/2 (.f64 1/2 eps))) (pow.f64 x 2)))) (/.f64 1 eps))
(-.f64 (+.f64 (fma.f64 -1 (.f64 x (.f64 -1 (+.f64 eps (.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps))))) 2) (.f64 (.f64 x x) (-.f64 (.f64 1/2 (.f64 eps eps)) (+.f64 1/2 (.f64 eps 1/2))))) (/.f64 1 eps))
(+.f64 (fma.f64 (.f64 1 (fma.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps) eps)) x (fma.f64 (.f64 x x) (+.f64 (fma.f64 1/2 (.f64 eps eps) -1/2) (.f64 eps -1/2)) 2)) (/.f64 -1 eps))
(+.f64 (fma.f64 (fma.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps) eps) x 2) (fma.f64 x (.f64 x (+.f64 (.f64 eps (-.f64 (*.f64 eps 1/2) 1/2)) -1/2)) (/.f64 -1 eps)))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 eps) (.f64 -1 (.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)))) x)) (+.f64 2 (.f64 (-.f64 (.f64 1/2 (pow.f64 eps 2)) (+.f64 1/2 (.f64 1/2 eps))) (pow.f64 x 2)))) (/.f64 1 eps))
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(exp.f64 (.f64 (log1p.f64 (-.f64 (fma.f64 x (.f64 x -1/2) (-.f64 (.f64 1/2 (pow.f64 (.f64 eps x) 2)) (.f64 eps (-.f64 (.f64 1/2 (.f64 x x)) x)))) (+.f64 (+.f64 (/.f64 1 eps) (.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps)))) -1))) 1))
(exp.f64 (log1p.f64 (-.f64 (fma.f64 x (.f64 x -1/2) (-.f64 (.f64 1/2 (pow.f64 (.f64 x eps) 2)) (.f64 eps (-.f64 (.f64 (.f64 x x) 1/2) x)))) (+.f64 -1 (+.f64 (/.f64 1 eps) (.f64 (+.f64 -1 (/.f64 1 eps)) (.f64 x (+.f64 1 eps))))))))
(exp.f64 (log1p.f64 (+.f64 1 (-.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 1/2 (.f64 eps eps) -1/2)) (.f64 eps (-.f64 (.f64 x (.f64 x 1/2)) x))) (fma.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 x (*.f64 x eps)) (/.f64 1 eps))))))
(exp.f64 (log1p.f64 (-.f64 (fma.f64 (.f64 x x) (fma.f64 eps (.f64 eps 1/2) -1/2) (.f64 eps (+.f64 x (.f64 x (.f64 x -1/2))))) (.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (+.f64 x (*.f64 x eps)) 1)))))
(fma.f64 1 (+.f64 1 (fma.f64 x (.f64 x -1/2) (-.f64 (.f64 1/2 (pow.f64 (.f64 eps x) 2)) (.f64 eps (-.f64 (.f64 1/2 (.f64 x x)) x))))) (neg.f64 (+.f64 (+.f64 (/.f64 1 eps) (.f64 (+.f64 (/.f64 1 eps) -1) (.f64 x (+.f64 1 eps)))) -1)))
(+.f64 1 (-.f64 (fma.f64 x (.f64 x -1/2) (-.f64 (.f64 1/2 (pow.f64 (.f64 x eps) 2)) (.f64 eps (-.f64 (.f64 (.f64 x x) 1/2) x)))) (+.f64 -1 (+.f64 (/.f64 1 eps) (.f64 (+.f64 -1 (/.f64 1 eps)) (.f64 x (+.f64 1 eps)))))))
(+.f64 2 (-.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 1/2 (.f64 eps eps) -1/2)) (.f64 eps (-.f64 (.f64 x (.f64 x 1/2)) x))) (fma.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 x (*.f64 x eps)) (/.f64 1 eps))))
(+.f64 1 (-.f64 (fma.f64 (.f64 x x) (fma.f64 eps (.f64 eps 1/2) -1/2) (.f64 eps (+.f64 x (.f64 x (.f64 x -1/2))))) (.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (+.f64 x (*.f64 x eps)) 1))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x (.f64 x -1/2) (-.f64 (.f64 1/2 (pow.f64 (.f64 eps x) 2)) (.f64 eps (-.f64 (.f64 1/2 (.f64 x x)) x)))))) 2) (cbrt.f64 (+.f64 1 (fma.f64 x (.f64 x -1/2) (-.f64 (.f64 1/2 (pow.f64 (.f64 eps x) 2)) (.f64 eps (-.f64 (.f64 1/2 (.f64 x x)) x)))))) (neg.f64 (+.f64 (+.f64 (/.f64 1 eps) (.f64 (+.f64 (/.f64 1 eps) -1) (.f64 x (+.f64 1 eps)))) -1)))
(+.f64 1 (-.f64 (fma.f64 x (.f64 x -1/2) (-.f64 (.f64 1/2 (pow.f64 (.f64 x eps) 2)) (.f64 eps (-.f64 (.f64 (.f64 x x) 1/2) x)))) (+.f64 -1 (+.f64 (/.f64 1 eps) (.f64 (+.f64 -1 (/.f64 1 eps)) (.f64 x (+.f64 1 eps)))))))
(+.f64 2 (-.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 1/2 (.f64 eps eps) -1/2)) (.f64 eps (-.f64 (.f64 x (.f64 x 1/2)) x))) (fma.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 x (*.f64 x eps)) (/.f64 1 eps))))
(+.f64 1 (-.f64 (fma.f64 (.f64 x x) (fma.f64 eps (.f64 eps 1/2) -1/2) (.f64 eps (+.f64 x (.f64 x (.f64 x -1/2))))) (.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (+.f64 x (*.f64 x eps)) 1))))
(fma.f64 (hypot.f64 1 (sqrt.f64 (fma.f64 x (.f64 x -1/2) (-.f64 (.f64 1/2 (pow.f64 (.f64 eps x) 2)) (.f64 eps (-.f64 (.f64 1/2 (.f64 x x)) x)))))) (hypot.f64 1 (sqrt.f64 (fma.f64 x (.f64 x -1/2) (-.f64 (.f64 1/2 (pow.f64 (.f64 eps x) 2)) (.f64 eps (-.f64 (.f64 1/2 (.f64 x x)) x)))))) (neg.f64 (+.f64 (+.f64 (/.f64 1 eps) (.f64 (+.f64 (/.f64 1 eps) -1) (.f64 x (+.f64 1 eps)))) -1)))
(+.f64 (+.f64 (neg.f64 (+.f64 -1 (+.f64 (/.f64 1 eps) (.f64 (+.f64 -1 (/.f64 1 eps)) (.f64 x (+.f64 1 eps)))))) (+.f64 -1 (+.f64 (/.f64 1 eps) (.f64 (+.f64 -1 (/.f64 1 eps)) (.f64 x (+.f64 1 eps)))))) (fma.f64 (hypot.f64 1 (sqrt.f64 (fma.f64 x (.f64 x -1/2) (-.f64 (.f64 1/2 (pow.f64 (.f64 x eps) 2)) (.f64 eps (-.f64 (.f64 (.f64 x x) 1/2) x)))))) (hypot.f64 1 (sqrt.f64 (fma.f64 x (.f64 x -1/2) (-.f64 (.f64 1/2 (pow.f64 (.f64 x eps) 2)) (.f64 eps (-.f64 (.f64 (.f64 x x) 1/2) x)))))) (neg.f64 (+.f64 -1 (+.f64 (/.f64 1 eps) (.f64 (+.f64 -1 (/.f64 1 eps)) (.f64 x (+.f64 1 eps))))))))
(+.f64 (.f64 (+.f64 -1 (fma.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 x (.f64 x eps)) (/.f64 1 eps))) 0) (fma.f64 (hypot.f64 1 (sqrt.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 1/2 (.f64 eps eps) -1/2)) (.f64 eps (-.f64 (.f64 x (.f64 x 1/2)) x))))) (hypot.f64 1 (sqrt.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 1/2 (.f64 eps eps) -1/2)) (.f64 eps (-.f64 (.f64 x (.f64 x 1/2)) x))))) (-.f64 1 (fma.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 x (*.f64 x eps)) (/.f64 1 eps)))))
(-.f64 (.f64 (hypot.f64 1 (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 eps (.f64 eps 1/2) -1/2) (.f64 eps (+.f64 x (.f64 x (.f64 x -1/2))))))) (hypot.f64 1 (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 eps (.f64 eps 1/2) -1/2) (.f64 eps (+.f64 x (.f64 x (.f64 x -1/2)))))))) (.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (+.f64 x (*.f64 x eps)) 1)))

localize58.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (+.f64 1 eps) (neg.f64 x))
✓	0.0b	(-.f64 (+.f64 1 (.f64 x (+.f64 eps (.f64 (+.f64 (.f64 1/2 (-.f64 (.f64 eps eps) eps)) -1/2) x)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x)))))
	0.0b	(.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))
✓	2.5b	(.f64 (+.f64 (.f64 1/2 (-.f64 (*.f64 eps eps) eps)) -1/2) x)

Compiler

Compiled 192 to 107 computations (44.3% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite81.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

434×	`log1p-udef_binary64`
274×	`add-sqr-sqrt_binary64`
266×	`*-un-lft-identity_binary64`
266×	`pow1_binary64`
254×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	59
1	530	53
2	7918	53

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

Inputs

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 (fma.f64 eps eps (neg.f64 eps))) x) (*.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 x) (*.f64 (*.f64 1/2 (fma.f64 eps eps (neg.f64 eps))) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 1/2 (fma.f64 eps eps (neg.f64 eps)))) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -1/2) (*.f64 x (*.f64 1/2 (fma.f64 eps eps (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/8 (pow.f64 (*.f64 1/2 (fma.f64 eps eps (neg.f64 eps))) 3)) x) (+.f64 (*.f64 (pow.f64 (fma.f64 eps eps (neg.f64 eps)) 2) 1/4) (-.f64 1/4 (*.f64 (fma.f64 eps eps (neg.f64 eps)) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (fma.f64 eps eps (neg.f64 eps)) 2) 1/4) -1/4) x) (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 -1/8 (pow.f64 (*.f64 1/2 (fma.f64 eps eps (neg.f64 eps))) 3))) (+.f64 (*.f64 (pow.f64 (fma.f64 eps eps (neg.f64 eps)) 2) 1/4) (-.f64 1/4 (*.f64 (fma.f64 eps eps (neg.f64 eps)) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 (fma.f64 eps eps (neg.f64 eps)) 2) 1/4) -1/4)) (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (neg.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (neg.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps)) (-.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 eps 1)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps)) (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (neg.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (neg.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (neg.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 eps 1)) x))) (fma.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (neg.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x))) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 eps 1)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 eps 1)) x))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x)) (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 eps 1)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 eps 1)) x))) (fma.f64 (+.f64 1 (neg.f64 (/.f64 1 eps))) (pow.f64 (exp.f64 (+.f64 eps 1)) x) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 eps 1)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 eps 1)) x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 eps 1)) x)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 eps 1)) x))) 2) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 eps 1)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) 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simplify129.0ms (1%)

Algorithm

1×	egg-herbie

Rules

500×	`cancel-sign-sub-inv_binary64`
372×	`unswap-sqr_binary64`
352×	`fma-neg_binary64`
248×	`fma-def_binary64`
234×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	316	4762
1	976	4441
2	3540	4270

Stop Event

1×	node limit

Counts

115 → 182

Calls

Call 1

Inputs
(*.f64 -1/2 x)
(+.f64 (.f64 -1/2 x) (.f64 -1/2 (*.f64 eps x)))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/2 (.f64 eps x)) (.f64 1/2 (*.f64 (pow.f64 eps 2) x))))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/2 (.f64 eps x)) (.f64 1/2 (*.f64 (pow.f64 eps 2) x))))
(.f64 1/2 (.f64 (pow.f64 eps 2) x))
(+.f64 (.f64 -1/2 (.f64 eps x)) (.f64 1/2 (.f64 (pow.f64 eps 2) x)))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/2 (.f64 eps x)) (.f64 1/2 (*.f64 (pow.f64 eps 2) x))))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/2 (.f64 eps x)) (.f64 1/2 (*.f64 (pow.f64 eps 2) x))))
(.f64 1/2 (.f64 (pow.f64 eps 2) x))
(+.f64 (.f64 -1/2 (.f64 eps x)) (.f64 1/2 (.f64 (pow.f64 eps 2) x)))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/2 (.f64 eps x)) (.f64 1/2 (*.f64 (pow.f64 eps 2) x))))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/2 (.f64 eps x)) (.f64 1/2 (*.f64 (pow.f64 eps 2) x))))
(.f64 (-.f64 (.f64 1/2 (-.f64 (pow.f64 eps 2) eps)) 1/2) x)
(.f64 (-.f64 (.f64 1/2 (-.f64 (pow.f64 eps 2) eps)) 1/2) x)
(.f64 (-.f64 (.f64 1/2 (-.f64 (pow.f64 eps 2) eps)) 1/2) x)
(.f64 (-.f64 (.f64 1/2 (-.f64 (pow.f64 eps 2) eps)) 1/2) x)
(.f64 (-.f64 (.f64 1/2 (-.f64 (pow.f64 eps 2) eps)) 1/2) x)
(.f64 (-.f64 (.f64 1/2 (-.f64 (pow.f64 eps 2) eps)) 1/2) x)
(.f64 (-.f64 (.f64 1/2 (-.f64 (pow.f64 eps 2) eps)) 1/2) x)
(.f64 (-.f64 (.f64 1/2 (-.f64 (pow.f64 eps 2) eps)) 1/2) x)
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(/.f64 1 (/.f64 (+.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 eps 1)) x))) (-.f64 (pow.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1) 2) (pow.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 eps 1)) x)) 2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1) 3) (pow.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 eps 1)) x)) 3)) (+.f64 (pow.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1) 2) (.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 eps 1)) x)) (+.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 eps 1)) x))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1) 2) (pow.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 eps 1)) x)) 2)) (+.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 eps 1)) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1) 3) (pow.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 eps 1)) x)) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1) 2) (.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 eps 1)) x)) (+.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 eps 1)) x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1) 2) (pow.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 eps 1)) x)) 2))) (neg.f64 (+.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 eps 1)) x)))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) (.f64 (+.f64 (/.f64 1 eps) -1) (neg.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x)))) 3)) (+.f64 1 (-.f64 (.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) (.f64 (+.f64 (/.f64 1 eps) -1) (neg.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x)))) (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) (.f64 (+.f64 (/.f64 1 eps) -1) (neg.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x))))) (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (neg.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1) 3) (pow.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (neg.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x))) 3)) (+.f64 (pow.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1) 2) (-.f64 (.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (neg.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x))) (.f64 (+.f64 (/.f64 1 eps) -1) (neg.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x)))) (.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1) (.f64 (+.f64 (/.f64 1 eps) -1) (neg.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x)))))))
(/.f64 (-.f64 1 (.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) (.f64 (+.f64 (/.f64 1 eps) -1) (neg.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x)))) (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) (.f64 (+.f64 (/.f64 1 eps) -1) (neg.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x)))))) (-.f64 1 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) (.f64 (+.f64 (/.f64 1 eps) -1) (neg.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1) 2) (.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (neg.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x))) (.f64 (+.f64 (/.f64 1 eps) -1) (neg.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x))))) (-.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1) (.f64 (+.f64 (/.f64 1 eps) -1) (neg.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x)))))
(pow.f64 (-.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 eps 1)) x))) 1)
(pow.f64 (pow.f64 (-.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 eps 1)) x))) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 eps 1)) x)))) 3)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 eps 1)) x)))) 2)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 eps 1)) x))) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 eps 1)) x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 eps 1)) x))))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 eps 1)) x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 eps 1)) x)))))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 eps 1)) x)))))
(exp.f64 (log1p.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (neg.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x))))))
(exp.f64 (.f64 (log1p.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) (.f64 (+.f64 (/.f64 1 eps) -1) (neg.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x))))) 1))
(fma.f64 1 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (neg.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1)) 2) (cbrt.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (neg.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x))))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1)) (sqrt.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (neg.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x))))

Outputs
(*.f64 -1/2 x)
(+.f64 (.f64 -1/2 x) (.f64 -1/2 (*.f64 eps x)))
(.f64 -1/2 (+.f64 x (.f64 x eps)))
(.f64 -1/2 (.f64 x (+.f64 eps 1)))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/2 (.f64 eps x)) (.f64 1/2 (*.f64 (pow.f64 eps 2) x))))
(fma.f64 -1/2 x (fma.f64 -1/2 (.f64 x eps) (.f64 1/2 (.f64 x (.f64 eps eps)))))
(fma.f64 -1/2 x (.f64 x (+.f64 (.f64 -1/2 eps) (.f64 1/2 (.f64 eps eps)))))
(.f64 x (+.f64 -1/2 (.f64 eps (+.f64 -1/2 (*.f64 1/2 eps)))))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/2 (.f64 eps x)) (.f64 1/2 (*.f64 (pow.f64 eps 2) x))))
(fma.f64 -1/2 x (fma.f64 -1/2 (.f64 x eps) (.f64 1/2 (.f64 x (.f64 eps eps)))))
(fma.f64 -1/2 x (.f64 x (+.f64 (.f64 -1/2 eps) (.f64 1/2 (.f64 eps eps)))))
(.f64 x (+.f64 -1/2 (.f64 eps (+.f64 -1/2 (*.f64 1/2 eps)))))
(.f64 1/2 (.f64 (pow.f64 eps 2) x))
(.f64 1/2 (.f64 x (*.f64 eps eps)))
(.f64 x (.f64 1/2 (*.f64 eps eps)))
(+.f64 (.f64 -1/2 (.f64 eps x)) (.f64 1/2 (.f64 (pow.f64 eps 2) x)))
(fma.f64 -1/2 (.f64 x eps) (.f64 1/2 (.f64 x (.f64 eps eps))))
(.f64 x (+.f64 (.f64 -1/2 eps) (.f64 1/2 (.f64 eps eps))))
(.f64 x (.f64 eps (+.f64 -1/2 (*.f64 1/2 eps))))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/2 (.f64 eps x)) (.f64 1/2 (*.f64 (pow.f64 eps 2) x))))
(fma.f64 -1/2 x (fma.f64 -1/2 (.f64 x eps) (.f64 1/2 (.f64 x (.f64 eps eps)))))
(fma.f64 -1/2 x (.f64 x (+.f64 (.f64 -1/2 eps) (.f64 1/2 (.f64 eps eps)))))
(.f64 x (+.f64 -1/2 (.f64 eps (+.f64 -1/2 (*.f64 1/2 eps)))))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/2 (.f64 eps x)) (.f64 1/2 (*.f64 (pow.f64 eps 2) x))))
(fma.f64 -1/2 x (fma.f64 -1/2 (.f64 x eps) (.f64 1/2 (.f64 x (.f64 eps eps)))))
(fma.f64 -1/2 x (.f64 x (+.f64 (.f64 -1/2 eps) (.f64 1/2 (.f64 eps eps)))))
(.f64 x (+.f64 -1/2 (.f64 eps (+.f64 -1/2 (*.f64 1/2 eps)))))
(.f64 1/2 (.f64 (pow.f64 eps 2) x))
(.f64 1/2 (.f64 x (*.f64 eps eps)))
(.f64 x (.f64 1/2 (*.f64 eps eps)))
(+.f64 (.f64 -1/2 (.f64 eps x)) (.f64 1/2 (.f64 (pow.f64 eps 2) x)))
(fma.f64 -1/2 (.f64 x eps) (.f64 1/2 (.f64 x (.f64 eps eps))))
(.f64 x (+.f64 (.f64 -1/2 eps) (.f64 1/2 (.f64 eps eps))))
(.f64 x (.f64 eps (+.f64 -1/2 (*.f64 1/2 eps))))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/2 (.f64 eps x)) (.f64 1/2 (*.f64 (pow.f64 eps 2) x))))
(fma.f64 -1/2 x (fma.f64 -1/2 (.f64 x eps) (.f64 1/2 (.f64 x (.f64 eps eps)))))
(fma.f64 -1/2 x (.f64 x (+.f64 (.f64 -1/2 eps) (.f64 1/2 (.f64 eps eps)))))
(.f64 x (+.f64 -1/2 (.f64 eps (+.f64 -1/2 (*.f64 1/2 eps)))))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/2 (.f64 eps x)) (.f64 1/2 (*.f64 (pow.f64 eps 2) x))))
(fma.f64 -1/2 x (fma.f64 -1/2 (.f64 x eps) (.f64 1/2 (.f64 x (.f64 eps eps)))))
(fma.f64 -1/2 x (.f64 x (+.f64 (.f64 -1/2 eps) (.f64 1/2 (.f64 eps eps)))))
(.f64 x (+.f64 -1/2 (.f64 eps (+.f64 -1/2 (*.f64 1/2 eps)))))
(.f64 (-.f64 (.f64 1/2 (-.f64 (pow.f64 eps 2) eps)) 1/2) x)
(.f64 x (fma.f64 1/2 (-.f64 (.f64 eps eps) eps) -1/2))
(.f64 x (fma.f64 1/2 (.f64 eps (+.f64 eps -1)) -1/2))
(.f64 (-.f64 (.f64 1/2 (-.f64 (pow.f64 eps 2) eps)) 1/2) x)
(.f64 x (fma.f64 1/2 (-.f64 (.f64 eps eps) eps) -1/2))
(.f64 x (fma.f64 1/2 (.f64 eps (+.f64 eps -1)) -1/2))
(.f64 (-.f64 (.f64 1/2 (-.f64 (pow.f64 eps 2) eps)) 1/2) x)
(.f64 x (fma.f64 1/2 (-.f64 (.f64 eps eps) eps) -1/2))
(.f64 x (fma.f64 1/2 (.f64 eps (+.f64 eps -1)) -1/2))
(.f64 (-.f64 (.f64 1/2 (-.f64 (pow.f64 eps 2) eps)) 1/2) x)
(.f64 x (fma.f64 1/2 (-.f64 (.f64 eps eps) eps) -1/2))
(.f64 x (fma.f64 1/2 (.f64 eps (+.f64 eps -1)) -1/2))
(.f64 (-.f64 (.f64 1/2 (-.f64 (pow.f64 eps 2) eps)) 1/2) x)
(.f64 x (fma.f64 1/2 (-.f64 (.f64 eps eps) eps) -1/2))
(.f64 x (fma.f64 1/2 (.f64 eps (+.f64 eps -1)) -1/2))
(.f64 (-.f64 (.f64 1/2 (-.f64 (pow.f64 eps 2) eps)) 1/2) x)
(.f64 x (fma.f64 1/2 (-.f64 (.f64 eps eps) eps) -1/2))
(.f64 x (fma.f64 1/2 (.f64 eps (+.f64 eps -1)) -1/2))
(.f64 (-.f64 (.f64 1/2 (-.f64 (pow.f64 eps 2) eps)) 1/2) x)
(.f64 x (fma.f64 1/2 (-.f64 (.f64 eps eps) eps) -1/2))
(.f64 x (fma.f64 1/2 (.f64 eps (+.f64 eps -1)) -1/2))
(.f64 (-.f64 (.f64 1/2 (-.f64 (pow.f64 eps 2) eps)) 1/2) x)
(.f64 x (fma.f64 1/2 (-.f64 (.f64 eps eps) eps) -1/2))
(.f64 x (fma.f64 1/2 (.f64 eps (+.f64 eps -1)) -1/2))
(.f64 (-.f64 (.f64 1/2 (-.f64 (pow.f64 eps 2) eps)) 1/2) x)
(.f64 x (fma.f64 1/2 (-.f64 (.f64 eps eps) eps) -1/2))
(.f64 x (fma.f64 1/2 (.f64 eps (+.f64 eps -1)) -1/2))
(.f64 (-.f64 (.f64 1/2 (-.f64 (pow.f64 eps 2) eps)) 1/2) x)
(.f64 x (fma.f64 1/2 (-.f64 (.f64 eps eps) eps) -1/2))
(.f64 x (fma.f64 1/2 (.f64 eps (+.f64 eps -1)) -1/2))
(.f64 (-.f64 (.f64 1/2 (-.f64 (pow.f64 eps 2) eps)) 1/2) x)
(.f64 x (fma.f64 1/2 (-.f64 (.f64 eps eps) eps) -1/2))
(.f64 x (fma.f64 1/2 (.f64 eps (+.f64 eps -1)) -1/2))
(.f64 (-.f64 (.f64 1/2 (-.f64 (pow.f64 eps 2) eps)) 1/2) x)
(.f64 x (fma.f64 1/2 (-.f64 (.f64 eps eps) eps) -1/2))
(.f64 x (fma.f64 1/2 (.f64 eps (+.f64 eps -1)) -1/2))
(-.f64 2 (/.f64 1 eps))
(+.f64 2 (/.f64 -1 eps))
(-.f64 (+.f64 2 (.f64 (-.f64 eps (.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x)) (/.f64 1 eps))
(+.f64 2 (-.f64 (.f64 x (-.f64 eps (neg.f64 (.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1))))) (/.f64 1 eps)))
(+.f64 2 (fma.f64 x (-.f64 eps (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) (/.f64 -1 eps)))
(+.f64 2 (fma.f64 x (+.f64 eps (*.f64 (-.f64 1 (/.f64 1 eps)) (-.f64 -1 eps))) (/.f64 -1 eps)))
(-.f64 (+.f64 2 (+.f64 (.f64 (-.f64 eps (.f64 -1 (.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (.f64 (-.f64 (.f64 1/2 (-.f64 (pow.f64 eps 2) eps)) (+.f64 1/2 (.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2))))) (pow.f64 x 2)))) (/.f64 1 eps))
(+.f64 2 (-.f64 (fma.f64 (-.f64 eps (neg.f64 (.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)))) x (.f64 (-.f64 (fma.f64 1/2 (-.f64 (.f64 eps eps) eps) -1/2) (.f64 (.f64 1/2 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (+.f64 eps 1) 2))) (.f64 x x))) (/.f64 1 eps)))
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(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1)) (sqrt.f64 (fma.f64 x (fma.f64 (fma.f64 1/2 (fma.f64 eps eps (neg.f64 eps)) -1/2) x eps) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (neg.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x))))
(+.f64 1 (fma.f64 x (fma.f64 (fma.f64 1/2 (-.f64 (.f64 eps eps) eps) -1/2) x eps) (neg.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 eps 1)) x)))))
(+.f64 (.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x) (-.f64 1 (/.f64 1 eps))) (fma.f64 x (fma.f64 x (fma.f64 1/2 (-.f64 (.f64 eps eps) eps) -1/2) eps) 1))
(fma.f64 x (fma.f64 x (fma.f64 1/2 (*.f64 eps (+.f64 eps -1)) -1/2) eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (neg.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) 1))

eval604.0ms (4.8%)

Compiler: Compiled 31992 to 21291 computations (33.4% saved)

prune193.0ms (1.5%)

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	720	5	725
Fresh	0	5	5
Picked	1	0	1
Done	1	7	8
Total	722	17	739

Error

Counts

739 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	18.6b	(/.f64 (fma.f64 (.f64 x x) (+.f64 (.f64 eps (-.f64 (*.f64 eps 1/2) 1/2)) -1/2) 2) 2)
✓	0.2b	(/.f64 (/.f64 (+.f64 x 1) (*.f64 (exp.f64 x) 1/2)) 2)
✓	46.7b	(/.f64 (/.f64 x (/.f64 (exp.f64 x) 2)) 2)
	49.7b	(/.f64 (-.f64 (fma.f64 -1 (.f64 (neg.f64 eps) x) (+.f64 (/.f64 1 eps) (+.f64 1 (.f64 1/2 (.f64 (.f64 x x) (.f64 eps eps)))))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
	51.6b	(/.f64 (-.f64 (+.f64 1 (.f64 x (+.f64 eps (.f64 (+.f64 (.f64 1/2 (-.f64 (.f64 eps eps) eps)) -1/2) x)))) (-.f64 (+.f64 (/.f64 1 eps) (.f64 -1 (.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))) 1)) 2)
	51.3b	(/.f64 (-.f64 (+.f64 1 (.f64 x (+.f64 eps (.f64 x (.f64 1/2 (.f64 eps eps)))))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
	47.2b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (+.f64 (/.f64 1 eps) (.f64 -1 (.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))) 1)) 2)
✓	31.7b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
	15.9b	(/.f64 (-.f64 2 (*.f64 x x)) 2)
	62.0b	(/.f64 (+.f64 (.f64 x (.f64 x -2)) (*.f64 x 2)) 2)
✓	61.9b	(/.f64 (+.f64 x x) 2)
	16.0b	(/.f64 (.f64 (+.f64 2 (.f64 x (+.f64 x -2))) (+.f64 x 1)) 2)
	0.2b	(/.f64 (.f64 (.f64 (exp.f64 (neg.f64 x)) 2) (+.f64 x 1)) 2)
✓	62.0b	(/.f64 (.f64 x (+.f64 2 (.f64 x -2))) 2)
	62.5b	(/.f64 (.f64 x (.f64 x -2)) 2)
✓	15.8b	(/.f64 2 2)
✓	47.0b	(/.f64 0 2)

Compiler

Compiled 306 to 240 computations (21.6% saved)

regimes59.0ms (0.5%)

Counts

33 → 1

Calls

Call 1

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

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

Calls

4 calls:

15.0ms	eps
14.0ms	x
4.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))
4.0ms	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))) 2)

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`eps`
0.2b	1	`(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))) 2)`
0.2b	1	`(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))`

Compiler

Compiled 781 to 541 computations (30.7% saved)

regimes18.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (+.f64 x x) 2)
(/.f64 (.f64 x (.f64 x -2)) 2)
(/.f64 (-.f64 2 (*.f64 x x)) 2)
(/.f64 (.f64 x (+.f64 2 (.f64 x -2))) 2)
(/.f64 (+.f64 (.f64 x (.f64 x -2)) (*.f64 x 2)) 2)
(/.f64 (.f64 (+.f64 2 (.f64 x (+.f64 x -2))) (+.f64 x 1)) 2)
(/.f64 (-.f64 (+.f64 1 (.f64 x (+.f64 eps (.f64 (+.f64 (.f64 1/2 (-.f64 (.f64 eps eps) eps)) -1/2) x)))) (-.f64 (+.f64 (/.f64 1 eps) (.f64 -1 (.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))) 1)) 2)
(/.f64 (-.f64 (+.f64 1 (+.f64 (-.f64 (.f64 1/2 (.f64 (.f64 eps x) (.f64 eps x))) (.f64 eps (-.f64 (.f64 1/2 (.f64 x x)) x))) (.f64 x (.f64 x -1/2)))) (-.f64 (+.f64 (/.f64 1 eps) (.f64 -1 (.f64 (-.f64 (/.f64 1 eps) 1) (.f64 (+.f64 1 eps) x)))) 1)) 2)
(/.f64 (/.f64 x (/.f64 (exp.f64 x) 2)) 2)
(/.f64 (*.f64 (/.f64 2 (exp.f64 x)) (+.f64 x 1)) 2)

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

Calls

2 calls:

7.0ms	eps
6.0ms	x

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`eps`

Compiler

Compiled 172 to 125 computations (27.3% saved)

regimes45.0ms (0.4%)

Counts

11 → 2

Calls

Call 1

Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (+.f64 x x) 2)
(/.f64 (.f64 x (.f64 x -2)) 2)
(/.f64 (-.f64 2 (*.f64 x x)) 2)
(/.f64 (.f64 x (+.f64 2 (.f64 x -2))) 2)
(/.f64 (+.f64 (.f64 x (.f64 x -2)) (*.f64 x 2)) 2)
(/.f64 (.f64 (+.f64 2 (.f64 x (+.f64 x -2))) (+.f64 x 1)) 2)
(/.f64 (-.f64 (+.f64 1 (.f64 x (+.f64 eps (.f64 (+.f64 (.f64 1/2 (-.f64 (.f64 eps eps) eps)) -1/2) x)))) (-.f64 (+.f64 (/.f64 1 eps) (.f64 -1 (.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))) 1)) 2)
(/.f64 (-.f64 (+.f64 1 (+.f64 (-.f64 (.f64 1/2 (.f64 (.f64 eps x) (.f64 eps x))) (.f64 eps (-.f64 (.f64 1/2 (.f64 x x)) x))) (.f64 x (.f64 x -1/2)))) (-.f64 (+.f64 (/.f64 1 eps) (.f64 -1 (.f64 (-.f64 (/.f64 1 eps) 1) (.f64 (+.f64 1 eps) x)))) 1)) 2)
(/.f64 (/.f64 x (/.f64 (exp.f64 x) 2)) 2)

Outputs
(/.f64 (-.f64 2 (*.f64 x x)) 2)
(/.f64 0 2)

Calls

2 calls:

28.0ms	eps
12.0ms	x

Results

Error	Segments	Branch
0.6b	2	`x`
13.1b	5	`eps`

Compiler

Compiled 162 to 118 computations (27.2% saved)

bsearch78.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
78.0ms	0.0017137165749594706	5615827.264291622

Results

41.0ms	75×	body	1024	valid
16.0ms	32×	body	512	valid
7.0ms	10×	body	2048	valid
7.0ms	48×	body	256	infinite
4.0ms	27×	body	256	valid

Compiler

Compiled 180 to 155 computations (13.9% saved)

regimes19.0ms (0.1%)

Accuracy

Total -61.8b remaining (-7424.5%)

Threshold costs -61.8b (-7424.5%)

Counts

4 → 2

Calls

Call 1

Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (+.f64 x x) 2)
(/.f64 (.f64 x (.f64 x -2)) 2)

Outputs
(/.f64 2 2)
(/.f64 0 2)

Calls

2 calls:

10.0ms	eps
7.0ms	x

Results

Error	Segments	Branch
0.8b	2	`x`
14.2b	3	`eps`

Compiler

Compiled 26 to 20 computations (23.1% saved)

bsearch57.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
57.0ms	0.0017137165749594706	5615827.264291622

Results

31.0ms	63×	body	1024	valid
9.0ms	29×	body	512	valid
8.0ms	49×	body	256	valid
6.0ms	37×	body	256	infinite
2.0ms	3×	body	2048	valid

Compiler

Compiled 144 to 137 computations (4.9% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
4×	`*-commutative_binary64`
3×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	56
1	35	56
2	42	56
3	46	56
4	48	56

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (+.f64 x 1) (*.f64 (exp.f64 x) 1/2)) 2)
(/.f64 (*.f64 (/.f64 2 (exp.f64 x)) (+.f64 x 1)) 2)
(if (<=.f64 x 3152519739159347/2251799813685248) (/.f64 (-.f64 2 (*.f64 x x)) 2) (/.f64 0 2))
(if (<=.f64 x 360) (/.f64 2 2) (/.f64 0 2))
(/.f64 0 2)

Outputs
(/.f64 (/.f64 (+.f64 x 1) (*.f64 (exp.f64 x) 1/2)) 2)
(/.f64 (*.f64 (/.f64 2 (exp.f64 x)) (+.f64 x 1)) 2)
(/.f64 (*.f64 (+.f64 x 1) (/.f64 2 (exp.f64 x))) 2)
(if (<=.f64 x 3152519739159347/2251799813685248) (/.f64 (-.f64 2 (*.f64 x x)) 2) (/.f64 0 2))
(if (<=.f64 x 3152519739159347/2251799813685248) (/.f64 (-.f64 2 (*.f64 x x)) 2) 0)
(if (<=.f64 x 360) (/.f64 2 2) (/.f64 0 2))
(if (<=.f64 x 360) 1 0)
(/.f64 0 2)
0

Compiler

Compiled 49 to 41 computations (16.3% saved)

soundness253.0ms (2%)

Algorithm

3×	egg-herbie

Rules

778×	`fma-def_binary64`
750×	`times-frac_binary64`
534×	`cancel-sign-sub-inv_binary64`
522×	`distribute-rgt-neg-in_binary64`
519×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	45
1	57	45
2	159	37
3	541	37
4	1697	37
0	446	4905
1	1325	4534
2	5188	4490
0	52	363
1	134	333
2	337	329
3	1132	319
4	4157	301

Stop Event

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

Compiler

Compiled 1856 to 1372 computations (26.1% saved)

end38.0ms (0.3%)

Compiler: Compiled 41 to 32 computations (22% saved)