Details

analyze163.0ms (1.2%)

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)

sample3.0s (23.1%)

Results

1.2s	2034×	body	1024	valid
968.0ms	4994×	body	256	valid
342.0ms	1016×	body	512	valid
227.0ms	212×	body	2048	valid
101.0ms	439×	body	256	infinite
70.0ms	445×	body	256	unsamplable
31.0ms	18×	body	1024	infinite
3.0ms	10×	body	512	infinite

Bogosity

preprocess47.0ms (0.4%)

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)

simplify31.0ms (0.2%)

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)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

28.9b

Counts

7 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	42.7b	(/.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)
▶	30.5b	(/.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)
▶	29.0b	(/.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)

Status

Error

Program

▶

42.7b

(/.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)

▶

30.5b

(/.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)

▶

29.0b

(/.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 85 to 64 computations (24.7% saved)

localize55.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x))))
✓	0.0b	(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
✓	0.0b	(exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))
✓	1.5b	(-.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)

series17.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
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)))))
2.0ms	eps	@	-inf	(exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))
2.0ms	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)))))
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)))))

rewrite107.0ms (0.8%)

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	84
1	403	71
2	5744	62

Stop Event

1×	node limit

Counts

4 → 241

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

simplify204.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

908×	`times-frac_binary64`
671×	`fma-neg_binary64`
427×	`associate-r_binary64`
368×	`associate-l_binary64`
357×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	615	14187
1	1687	13062
2	6320	12974

Stop Event

1×	node limit

Counts

337 → 434

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

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

localize39.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
✓	0.0b	(exp.f64 (fma.f64 eps x x))
✓	0.2b	(pow.f64 (exp.f64 x) (+.f64 eps -1))
✓	3.7b	(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)

series55.0ms (0.4%)

Counts

4 → 80

Calls

24 calls:

Time	Variable		Point	Expression
26.0ms	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))))
18.0ms	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	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))))
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))))
1.0ms	x	@	0	(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))

rewrite77.0ms (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 → 98

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

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

simplify108.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

595×	`unswap-sqr_binary64`
433×	`cancel-sign-sub-inv_binary64`
395×	`fma-neg_binary64`
288×	`associate-r_binary64`
280×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	422	4623
1	1277	4297
2	4938	4245

Stop Event

1×	node limit

Counts

178 → 246

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

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

localize40.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (+.f64 eps -1))
	0.0b	(exp.f64 (fma.f64 eps x x))
✓	0.5b	(pow.f64 (exp.f64 (+.f64 eps -1)) x)
✓	3.9b	(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)

series48.0ms (0.4%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
23.0ms	eps	@	-inf	(pow.f64 (exp.f64 (+.f64 eps -1)) x)
10.0ms	eps	@	inf	(pow.f64 (exp.f64 (+.f64 eps -1)) x)
5.0ms	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))))
4.0ms	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	@	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))))

rewrite69.0ms (0.5%)

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	49
1	324	48
2	4404	48

Stop Event

1×	node limit

Counts

3 → 66

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

((#(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))))))))

simplify71.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

355×	`unswap-sqr_binary64`
271×	`associate--l+_binary64`
264×	`cancel-sign-sub-inv_binary64`
260×	`fma-neg_binary64`
189×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	320	3356
1	899	3134
2	3214	2880

Stop Event

1×	node limit

Counts

126 → 162

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

eval594.0ms (4.6%)

Compiler: Compiled 38591 to 24438 computations (36.7% saved)

prune256.0ms (2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	869	14	883
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	872	14	886

Error

0.0b

Counts

886 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	47.1b	(/.f64 (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))) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) 2)
	47.4b	(/.f64 (pow.f64 (pow.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))))) 3) 1/3) 2)
	48.5b	(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 x (+.f64 -1 eps) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3)) (+.f64 (*.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (-.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (fma.f64 x (+.f64 -1 eps) (log1p.f64 (/.f64 1 eps)))))) (pow.f64 (exp.f64 2) (fma.f64 x (+.f64 -1 eps) (log1p.f64 (/.f64 1 eps)))))) 2)
	46.5b	(/.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
	1.4b	(/.f64 (-.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))))) 2)
	1.4b	(/.f64 (-.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
	46.4b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)) 1)) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
	46.2b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
▶	46.2b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
▶	1.1b	(/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
▶	1.4b	(/.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x))) 2)
▶	47.4b	(/.f64 (cbrt.f64 (pow.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))))) 3)) 2)
	17.9b	(/.f64 2 2)
▶	46.3b	(/.f64 0 2)

Compiler

Compiled 754 to 574 computations (23.9% saved)

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 90 to 64 computations (28.9% saved)

series11.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	0	(*.f64 x (-.f64 1 eps))
1.0ms	x	@	0	(exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))
1.0ms	eps	@	0	(exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))
0.0ms	eps	@	0	(exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))
0.0ms	x	@	inf	(*.f64 x (-.f64 1 eps))

rewrite79.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

589×	`log-prod_binary64`
354×	`fma-def_binary64`
342×	`prod-diff_binary64`
295×	`pow-unpow_binary64`
277×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	36
1	259	28
2	3581	28

Stop Event

1×	node limit

Counts

4 → 469

Calls

Call 1

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

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

simplify180.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

832×	`sqr-pow_binary64`
384×	`associate-r_binary64`
355×	`fma-neg_binary64`
351×	`pow-sqr_binary64`
331×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1008	8196
1	2749	7948
2	7809	7948

Stop Event

1×	node limit

Counts

565 → 733

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize37.0ms (0.3%)

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 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x))))
	0.0b	(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
✓	3.6b	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1))

Compiler

Compiled 102 to 74 computations (27.5% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite84.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

691×	`fma-def_binary64`
687×	`log-prod_binary64`
324×	`fma-neg_binary64`
255×	`expm1-udef_binary64`
254×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	38
1	341	32
2	4521	31

Stop Event

1×	node limit

Counts

2 → 199

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) 1))
(*.f64 (-.f64 1 eps) (neg.f64 x))

Outputs

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

simplify126.0ms (1%)

Algorithm

1×	egg-herbie

Rules

487×	`unswap-sqr_binary64`
428×	`cancel-sign-sub-inv_binary64`
379×	`fma-neg_binary64`
226×	`associate-+r+_binary64`
214×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	453	6829
1	1213	6626
2	4550	6265

Stop Event

1×	node limit

Counts

247 → 303

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 51 to 22 computations (56.9% saved)

series7.0ms (0.1%)

Counts

3 → 28

Calls

9 calls:

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

rewrite48.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

515×	`fma-def_binary64`
484×	`log-prod_binary64`
311×	`pow-prod-down_binary64`
256×	`fma-neg_binary64`
251×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	226	30
2	3498	3

Stop Event

1×	node limit

Counts

3 → 3

Calls

Call 1

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

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

simplify46.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

736×	`distribute-rgt-neg-in_binary64`
625×	`distribute-lft-neg-in_binary64`
562×	`associate-l_binary64`
449×	`associate-r_binary64`
286×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	421
1	162	319
2	404	293
3	1371	278
4	5090	278

Stop Event

1×	node limit

Counts

31 → 59

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 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))) x)
(+.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))) x) (.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))) x) (.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))) x) (.f64 2 (exp.f64 (neg.f64 x))))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (exp.f64 (.f64 -1 x))) (/.f64 1 (exp.f64 x))) x))
(+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 (exp.f64 (.f64 -1 x))) (/.f64 1 (exp.f64 x))) x)) (.f64 2 (exp.f64 (.f64 -1 x))))
(+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 (exp.f64 (.f64 -1 x))) (/.f64 1 (exp.f64 x))) x)) (.f64 2 (exp.f64 (.f64 -1 x))))
(+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 (exp.f64 (.f64 -1 x))) (/.f64 1 (exp.f64 x))) 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 (exp.f64 (neg.f64 x)) x)
(+.f64 (.f64 (exp.f64 (neg.f64 x)) x) (.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (.f64 (exp.f64 (neg.f64 x)) x) (.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (.f64 (exp.f64 (neg.f64 x)) x) (.f64 2 (exp.f64 (neg.f64 x))))
(.f64 (exp.f64 (.f64 -1 x)) x)
(+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (.f64 2 (exp.f64 (.f64 -1 x))))
(+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (.f64 2 (exp.f64 (.f64 -1 x))))
(+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (.f64 2 (exp.f64 (.f64 -1 x))))
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
2
0

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

localize60.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(exp.f64 (fma.f64 eps x x))
✓	1.5b	(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
✓	8.8b	(cbrt.f64 (pow.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))))) 3))
✓	15.3b	(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)))))

Compiler

Compiled 148 to 92 computations (37.8% saved)

series9.0ms (0.1%)

Counts

3 → 60

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(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)))))
1.0ms	x	@	0	(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)))))
1.0ms	eps	@	0	(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
1.0ms	x	@	inf	(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)))))
1.0ms	eps	@	inf	(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)))))

rewrite71.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

685×	`log-prod_binary64`
552×	`prod-diff_binary64`
315×	`fma-def_binary64`
273×	`expm1-udef_binary64`
272×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	77
1	373	77
2	4402	77

Stop Event

1×	node limit

Counts

3 → 107

Calls

Call 1

Inputs

(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)))))

(cbrt.f64 (pow.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))))) 3))

(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) 1) (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps))))))) (cbrt.f64 (exp.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 1 eps)) 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simplify117.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

985×	`fma-neg_binary64`
364×	`+-commutative_binary64`
355×	`unswap-sqr_binary64`
248×	`exp-prod_binary64`
220×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	294	6263
1	793	6002
2	2860	5512
3	6619	5512

Stop Event

1×	node limit

Counts

167 → 160

Calls

Call 1

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

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

eval762.0ms (5.8%)

Compiler: Compiled 40826 to 28407 computations (30.4% saved)

prune493.0ms (3.8%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	1402	13	1415
Fresh	5	4	9
Picked	1	0	1
Done	3	1	4
Total	1411	18	1429

Error

0.0b

Counts

1429 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	48.5b	(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 x (+.f64 -1 eps) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3)) (+.f64 (*.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (-.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (fma.f64 x (+.f64 -1 eps) (log1p.f64 (/.f64 1 eps)))))) (pow.f64 (exp.f64 2) (fma.f64 x (+.f64 -1 eps) (log1p.f64 (/.f64 1 eps)))))) 2)
▶	1.1b	(/.f64 (-.f64 (pow.f64 (exp.f64 -1) (.f64 x (-.f64 1 eps))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
	46.5b	(/.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
	18.3b	(/.f64 (-.f64 (+.f64 1 (.f64 (-.f64 eps 1) x)) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
	1.1b	(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 -1) (.f64 1/2 (.f64 x (-.f64 1 eps)))) (pow.f64 (exp.f64 -1) (.f64 1/2 (.f64 x (-.f64 1 eps))))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
	17.9b	(/.f64 (-.f64 (.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 x -1/4))) (fma.f64 x x -2)) 2)
▶	1.4b	(/.f64 (-.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
▶	46.9b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (.f64 2 (.f64 1/3 (.f64 (-.f64 1 eps) x))) (.f64 1/3 (.f64 (-.f64 1 eps) x))))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
	18.0b	(/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (+.f64 1 (.f64 -1 (*.f64 (+.f64 1 eps) x))))) 2)
	12.3b	(/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (.f64 eps x))))) 2)
	18.1b	(/.f64 (-.f64 2 (*.f64 x x)) 2)
	1.4b	(/.f64 (+.f64 (/.f64 x (exp.f64 x)) (/.f64 (+.f64 2 x) (exp.f64 x))) 2)
	33.1b	(/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 2) 2)
▶	18.1b	(/.f64 (+.f64 1 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) 2)
	1.4b	(/.f64 (*.f64 (/.f64 -2 (exp.f64 x)) (-.f64 -1 x)) 2)
	45.3b	(/.f64 (cbrt.f64 (pow.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (.f64 (exp.f64 (.f64 x (-.f64 1 eps))) (+.f64 1 (/.f64 1 eps)))) 3)) 2)
▶	17.9b	(/.f64 2 2)
✓	46.3b	(/.f64 0 2)

Compiler

Compiled 785 to 613 computations (21.9% saved)

localize40.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 90 to 66 computations (26.7% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(pow.f64 (exp.f64 -1) (*.f64 x (-.f64 1 eps)))
1.0ms	x	@	0	(pow.f64 (exp.f64 -1) (*.f64 x (-.f64 1 eps)))
0.0ms	eps	@	0	(pow.f64 (exp.f64 -1) (*.f64 x (-.f64 1 eps)))
0.0ms	eps	@	-inf	(pow.f64 (exp.f64 -1) (*.f64 x (-.f64 1 eps)))
0.0ms	x	@	-inf	(pow.f64 (exp.f64 -1) (*.f64 x (-.f64 1 eps)))

rewrite43.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

884×	`pow1_binary64`
820×	`add-log-exp_binary64`
818×	`log1p-expm1-u_binary64`
818×	`expm1-log1p-u_binary64`
801×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	180	11
2	2180	11

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs

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

simplify46.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

536×	`associate-l_binary64`
481×	`associate-r_binary64`
411×	`associate-/l*_binary64`
319×	`cancel-sign-sub-inv_binary64`
298×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	626
1	234	621
2	746	542
3	4232	532

Stop Event

1×	node limit

Counts

41 → 61

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 44 to 28 computations (36.4% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite93.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

916×	`pow1_binary64`
849×	`add-log-exp_binary64`
849×	`log1p-expm1-u_binary64`
849×	`expm1-log1p-u_binary64`
833×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	191	12
2	2590	12

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

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

simplify47.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

675×	`times-frac_binary64`
588×	`associate-/l*_binary64`
436×	`fma-def_binary64`
238×	`fma-neg_binary64`
208×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	119	1107
1	323	1077
2	1042	1011
3	3755	881

Stop Event

1×	node limit

Counts

54 → 77

Calls

Call 1

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

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

localize91.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (+.f64 (.f64 2 (.f64 1/3 (.f64 (-.f64 1 eps) x))) (.f64 1/3 (*.f64 (-.f64 1 eps) x))))
✓	0.3b	(+.f64 (.f64 2 (.f64 1/3 (.f64 (-.f64 1 eps) x))) (.f64 1/3 (*.f64 (-.f64 1 eps) x)))
✓	0.3b	(.f64 1/3 (.f64 (-.f64 1 eps) x))
✓	3.5b	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (.f64 2 (.f64 1/3 (.f64 (-.f64 1 eps) x))) (.f64 1/3 (.f64 (-.f64 1 eps) x))))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1))

Compiler

Compiled 177 to 139 computations (21.5% saved)

series14.0ms (0.1%)

Counts

4 → 84

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (.f64 2 (.f64 1/3 (.f64 (-.f64 1 eps) x))) (.f64 1/3 (.f64 (-.f64 1 eps) x))))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1))
2.0ms	eps	@	0	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (.f64 2 (.f64 1/3 (.f64 (-.f64 1 eps) x))) (.f64 1/3 (.f64 (-.f64 1 eps) x))))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1))
1.0ms	x	@	0	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (.f64 2 (.f64 1/3 (.f64 (-.f64 1 eps) x))) (.f64 1/3 (.f64 (-.f64 1 eps) x))))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1))
1.0ms	eps	@	-inf	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (.f64 2 (.f64 1/3 (.f64 (-.f64 1 eps) x))) (.f64 1/3 (.f64 (-.f64 1 eps) x))))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1))
1.0ms	eps	@	inf	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (.f64 2 (.f64 1/3 (.f64 (-.f64 1 eps) x))) (.f64 1/3 (.f64 (-.f64 1 eps) x))))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1))

rewrite90.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

489×	`fma-neg_binary64`
328×	`expm1-udef_binary64`
327×	`log1p-udef_binary64`
258×	`log-pow_binary64`
209×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	71
1	438	51
2	5894	51

Stop Event

1×	node limit

Counts

4 → 237

Calls

Call 1

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

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

simplify138.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

597×	`times-frac_binary64`
518×	`associate-l_binary64`
513×	`associate-r_binary64`
489×	`fma-def_binary64`
279×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	633	8072
1	1838	6789

Stop Event

1×	node limit

Counts

321 → 406

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (exp.f64 (+.f64 (.f64 2/3 x) (.f64 1/3 x))) 1) eps)
(/.f64 (expm1.f64 (*.f64 x 1)) eps)
(/.f64 (expm1.f64 x) eps)
(-.f64 (+.f64 1 (+.f64 (.f64 (exp.f64 (+.f64 (.f64 2/3 x) (.f64 1/3 x))) (+.f64 (.f64 -1/3 x) (.f64 -2/3 x))) (+.f64 (exp.f64 (+.f64 (.f64 2/3 x) (.f64 1/3 x))) (/.f64 (exp.f64 (+.f64 (.f64 2/3 x) (*.f64 1/3 x))) eps)))) (/.f64 1 eps))
(+.f64 1 (-.f64 (fma.f64 (exp.f64 (.f64 x 1)) (.f64 x -1) (+.f64 (exp.f64 (.f64 x 1)) (/.f64 (exp.f64 (.f64 x 1)) eps))) (/.f64 1 eps)))
(+.f64 1 (+.f64 (+.f64 (fma.f64 (exp.f64 x) (*.f64 x -1) (exp.f64 x)) (/.f64 (exp.f64 x) eps)) (/.f64 -1 eps)))
(-.f64 (+.f64 (.f64 (exp.f64 (+.f64 (.f64 2/3 x) (.f64 1/3 x))) (+.f64 (.f64 -1/3 x) (.f64 -2/3 x))) (+.f64 1 (+.f64 (exp.f64 (+.f64 (.f64 2/3 x) (.f64 1/3 x))) (+.f64 (.f64 eps (+.f64 (.f64 (exp.f64 (+.f64 (.f64 2/3 x) (.f64 1/3 x))) (+.f64 (.f64 -1/3 x) (.f64 -2/3 x))) (.f64 1/2 (.f64 (pow.f64 (+.f64 (.f64 -2/3 x) (.f64 -1/3 x)) 2) (exp.f64 (+.f64 (.f64 2/3 x) (.f64 1/3 x))))))) (/.f64 (exp.f64 (+.f64 (.f64 2/3 x) (*.f64 1/3 x))) eps))))) (/.f64 1 eps))
(-.f64 (fma.f64 (exp.f64 (.f64 x 1)) (.f64 x -1) (+.f64 1 (+.f64 (exp.f64 (.f64 x 1)) (fma.f64 eps (fma.f64 (exp.f64 (.f64 x 1)) (.f64 x -1) (.f64 1/2 (.f64 (exp.f64 (.f64 x 1)) (pow.f64 (.f64 x -1) 2)))) (/.f64 (exp.f64 (.f64 x 1)) eps))))) (/.f64 1 eps))
(+.f64 (+.f64 (fma.f64 (exp.f64 x) (.f64 x -1) 1) (+.f64 (exp.f64 x) (fma.f64 eps (.f64 (exp.f64 x) (+.f64 (.f64 x -1) (.f64 1/2 (.f64 (.f64 x x) 1)))) (/.f64 (exp.f64 x) eps)))) (/.f64 -1 eps))
(-.f64 (+.f64 (.f64 (exp.f64 (+.f64 (.f64 2/3 x) (.f64 1/3 x))) (+.f64 (.f64 -1/3 x) (.f64 -2/3 x))) (+.f64 1 (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (+.f64 (.f64 -2/3 x) (.f64 -1/3 x)) 2) (exp.f64 (+.f64 (.f64 2/3 x) (.f64 1/3 x))))) (.f64 1/6 (.f64 (pow.f64 (+.f64 (.f64 -2/3 x) (.f64 -1/3 x)) 3) (exp.f64 (+.f64 (.f64 2/3 x) (.f64 1/3 x)))))) (pow.f64 eps 2)) (+.f64 (exp.f64 (+.f64 (.f64 2/3 x) (.f64 1/3 x))) (+.f64 (.f64 eps (+.f64 (.f64 (exp.f64 (+.f64 (.f64 2/3 x) (.f64 1/3 x))) (+.f64 (.f64 -1/3 x) (.f64 -2/3 x))) (.f64 1/2 (.f64 (pow.f64 (+.f64 (.f64 -2/3 x) (.f64 -1/3 x)) 2) (exp.f64 (+.f64 (.f64 2/3 x) (.f64 1/3 x))))))) (/.f64 (exp.f64 (+.f64 (.f64 2/3 x) (.f64 1/3 x))) eps)))))) (/.f64 1 eps))
(-.f64 (fma.f64 (exp.f64 (.f64 x 1)) (.f64 x -1) (+.f64 1 (fma.f64 (fma.f64 1/2 (.f64 (exp.f64 (.f64 x 1)) (pow.f64 (.f64 x -1) 2)) (.f64 1/6 (.f64 (exp.f64 (.f64 x 1)) (pow.f64 (.f64 x -1) 3)))) (.f64 eps eps) (+.f64 (exp.f64 (.f64 x 1)) (fma.f64 eps (fma.f64 (exp.f64 (.f64 x 1)) (.f64 x -1) (.f64 1/2 (.f64 (exp.f64 (.f64 x 1)) (pow.f64 (.f64 x -1) 2)))) (/.f64 (exp.f64 (.f64 x 1)) eps)))))) (/.f64 1 eps))
(+.f64 (+.f64 (fma.f64 (exp.f64 x) (.f64 x -1) 1) (+.f64 (fma.f64 (.f64 (exp.f64 x) (+.f64 (.f64 1/2 (.f64 (.f64 x x) 1)) (.f64 1/6 (.f64 (pow.f64 x 3) -1)))) (.f64 eps eps) (exp.f64 x)) (fma.f64 eps (.f64 (exp.f64 x) (+.f64 (.f64 x -1) (.f64 1/2 (.f64 (*.f64 x x) 1)))) (/.f64 (exp.f64 x) eps)))) (/.f64 -1 eps))
(+.f64 1 (exp.f64 (+.f64 (.f64 2/3 (.f64 (-.f64 1 eps) x)) (.f64 1/3 (.f64 (-.f64 1 eps) x)))))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 1 eps))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(-.f64 (+.f64 1 (+.f64 (exp.f64 (+.f64 (.f64 2/3 (.f64 (-.f64 1 eps) x)) (.f64 1/3 (.f64 (-.f64 1 eps) x)))) (/.f64 (exp.f64 (+.f64 (.f64 2/3 (.f64 (-.f64 1 eps) x)) (.f64 1/3 (.f64 (-.f64 1 eps) x)))) eps))) (/.f64 1 eps))
(+.f64 1 (-.f64 (+.f64 (exp.f64 (.f64 x (-.f64 1 eps))) (/.f64 (exp.f64 (.f64 x (-.f64 1 eps))) eps)) (/.f64 1 eps)))
(+.f64 1 (+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (+.f64 (exp.f64 (+.f64 (.f64 2/3 (.f64 (-.f64 1 eps) x)) (.f64 1/3 (.f64 (-.f64 1 eps) x)))) (/.f64 (exp.f64 (+.f64 (.f64 2/3 (.f64 (-.f64 1 eps) x)) (.f64 1/3 (.f64 (-.f64 1 eps) x)))) eps))) (/.f64 1 eps))
(+.f64 1 (-.f64 (+.f64 (exp.f64 (.f64 x (-.f64 1 eps))) (/.f64 (exp.f64 (.f64 x (-.f64 1 eps))) eps)) (/.f64 1 eps)))
(+.f64 1 (+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (+.f64 (exp.f64 (+.f64 (.f64 2/3 (.f64 (-.f64 1 eps) x)) (.f64 1/3 (.f64 (-.f64 1 eps) x)))) (/.f64 (exp.f64 (+.f64 (.f64 2/3 (.f64 (-.f64 1 eps) x)) (.f64 1/3 (.f64 (-.f64 1 eps) x)))) eps))) (/.f64 1 eps))
(+.f64 1 (-.f64 (+.f64 (exp.f64 (.f64 x (-.f64 1 eps))) (/.f64 (exp.f64 (.f64 x (-.f64 1 eps))) eps)) (/.f64 1 eps)))
(+.f64 1 (+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))) (/.f64 -1 eps)))
(+.f64 1 (exp.f64 (+.f64 (.f64 2/3 (.f64 (+.f64 1 (.f64 -1 eps)) x)) (.f64 1/3 (.f64 (+.f64 1 (.f64 -1 eps)) x)))))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 1 eps))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(+.f64 1 (+.f64 (exp.f64 (+.f64 (.f64 2/3 (.f64 (+.f64 1 (.f64 -1 eps)) x)) (.f64 1/3 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 (exp.f64 (+.f64 (.f64 2/3 (.f64 (+.f64 1 (.f64 -1 eps)) x)) (.f64 1/3 (.f64 (+.f64 1 (.f64 -1 eps)) x)))))) eps))))
(+.f64 1 (+.f64 (exp.f64 (.f64 x (-.f64 1 eps))) (neg.f64 (/.f64 (+.f64 1 (neg.f64 (exp.f64 (.f64 x (-.f64 1 eps))))) eps))))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps))) eps)))
(+.f64 1 (+.f64 (exp.f64 (+.f64 (.f64 2/3 (.f64 (+.f64 1 (.f64 -1 eps)) x)) (.f64 1/3 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 (exp.f64 (+.f64 (.f64 2/3 (.f64 (+.f64 1 (.f64 -1 eps)) x)) (.f64 1/3 (.f64 (+.f64 1 (.f64 -1 eps)) x)))))) eps))))
(+.f64 1 (+.f64 (exp.f64 (.f64 x (-.f64 1 eps))) (neg.f64 (/.f64 (+.f64 1 (neg.f64 (exp.f64 (.f64 x (-.f64 1 eps))))) eps))))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps))) eps)))
(+.f64 1 (+.f64 (exp.f64 (+.f64 (.f64 2/3 (.f64 (+.f64 1 (.f64 -1 eps)) x)) (.f64 1/3 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 (exp.f64 (+.f64 (.f64 2/3 (.f64 (+.f64 1 (.f64 -1 eps)) x)) (.f64 1/3 (.f64 (+.f64 1 (.f64 -1 eps)) x)))))) eps))))
(+.f64 1 (+.f64 (exp.f64 (.f64 x (-.f64 1 eps))) (neg.f64 (/.f64 (+.f64 1 (neg.f64 (exp.f64 (.f64 x (-.f64 1 eps))))) eps))))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps))) eps)))
2
(+.f64 2 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 x (+.f64 (.f64 1/3 (-.f64 1 eps)) (.f64 2/3 (-.f64 1 eps))))))
(+.f64 2 (.f64 (.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))))
(fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) 2)
(+.f64 2 (+.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (pow.f64 (+.f64 (.f64 1/3 (-.f64 1 eps)) (.f64 2/3 (-.f64 1 eps))) 2) (pow.f64 x 2)))) (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 x (+.f64 (.f64 1/3 (-.f64 1 eps)) (*.f64 2/3 (-.f64 1 eps)))))))
(+.f64 2 (fma.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (pow.f64 (.f64 (-.f64 1 eps) 1) 2) (.f64 x x))) (.f64 (.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))))
(+.f64 2 (fma.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (.f64 x (-.f64 1 eps)) 2)) (.f64 (.f64 (+.f64 1 (/.f64 1 eps)) x) (-.f64 1 eps))))
(+.f64 (.f64 1/6 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (pow.f64 (+.f64 (.f64 1/3 (-.f64 1 eps)) (.f64 2/3 (-.f64 1 eps))) 3) (pow.f64 x 3)))) (+.f64 2 (+.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (pow.f64 (+.f64 (.f64 1/3 (-.f64 1 eps)) (.f64 2/3 (-.f64 1 eps))) 2) (pow.f64 x 2)))) (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 x (+.f64 (.f64 1/3 (-.f64 1 eps)) (.f64 2/3 (-.f64 1 eps))))))))
(fma.f64 1/6 (.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (pow.f64 (.f64 (-.f64 1 eps) 1) 3) (pow.f64 x 3))) (+.f64 2 (fma.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (pow.f64 (.f64 (-.f64 1 eps) 1) 2) (.f64 x x))) (.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))))))
(+.f64 (fma.f64 (.f64 1/6 (+.f64 1 (/.f64 1 eps))) (pow.f64 (.f64 x (-.f64 1 eps)) 3) 2) (fma.f64 1/2 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (.f64 x (-.f64 1 eps)) 2)) (.f64 (.f64 (+.f64 1 (/.f64 1 eps)) x) (-.f64 1 eps))))
(-.f64 (+.f64 1 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (+.f64 (.f64 2/3 (.f64 (-.f64 1 eps) x)) (.f64 1/3 (*.f64 (-.f64 1 eps) x)))))) (/.f64 1 eps))
(+.f64 1 (-.f64 (.f64 (exp.f64 (.f64 x (-.f64 1 eps))) (+.f64 1 (/.f64 1 eps))) (/.f64 1 eps)))
(+.f64 1 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (+.f64 (.f64 2/3 (.f64 (-.f64 1 eps) x)) (.f64 1/3 (*.f64 (-.f64 1 eps) x)))))) (/.f64 1 eps))
(+.f64 1 (-.f64 (.f64 (exp.f64 (.f64 x (-.f64 1 eps))) (+.f64 1 (/.f64 1 eps))) (/.f64 1 eps)))
(+.f64 1 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (+.f64 (.f64 2/3 (.f64 (-.f64 1 eps) x)) (.f64 1/3 (*.f64 (-.f64 1 eps) x)))))) (/.f64 1 eps))
(+.f64 1 (-.f64 (.f64 (exp.f64 (.f64 x (-.f64 1 eps))) (+.f64 1 (/.f64 1 eps))) (/.f64 1 eps)))
(+.f64 1 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (+.f64 (.f64 2/3 (.f64 (-.f64 1 eps) x)) (.f64 1/3 (*.f64 (-.f64 1 eps) x)))))) (/.f64 1 eps))
(+.f64 1 (-.f64 (.f64 (exp.f64 (.f64 x (-.f64 1 eps))) (+.f64 1 (/.f64 1 eps))) (/.f64 1 eps)))
(+.f64 1 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (+.f64 (.f64 2/3 (.f64 (-.f64 1 eps) x)) (.f64 1/3 (*.f64 (-.f64 1 eps) x)))))) (/.f64 1 eps))
(+.f64 1 (-.f64 (.f64 (exp.f64 (.f64 x (-.f64 1 eps))) (+.f64 1 (/.f64 1 eps))) (/.f64 1 eps)))
(+.f64 1 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (+.f64 (.f64 2/3 (.f64 (-.f64 1 eps) x)) (.f64 1/3 (*.f64 (-.f64 1 eps) x)))))) (/.f64 1 eps))
(+.f64 1 (-.f64 (.f64 (exp.f64 (.f64 x (-.f64 1 eps))) (+.f64 1 (/.f64 1 eps))) (/.f64 1 eps)))
(+.f64 1 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (+.f64 (.f64 2/3 (.f64 (-.f64 1 eps) x)) (.f64 1/3 (*.f64 (-.f64 1 eps) x)))))) (/.f64 1 eps))
(+.f64 1 (-.f64 (.f64 (exp.f64 (.f64 x (-.f64 1 eps))) (+.f64 1 (/.f64 1 eps))) (/.f64 1 eps)))
(+.f64 1 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (+.f64 (.f64 2/3 (.f64 (-.f64 1 eps) x)) (.f64 1/3 (*.f64 (-.f64 1 eps) x)))))) (/.f64 1 eps))
(+.f64 1 (-.f64 (.f64 (exp.f64 (.f64 x (-.f64 1 eps))) (+.f64 1 (/.f64 1 eps))) (/.f64 1 eps)))
(+.f64 1 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 -1 eps)))
(*.f64 1/3 x)
(*.f64 x 1/3)
(+.f64 (.f64 -1/3 (.f64 eps x)) (*.f64 1/3 x))
(fma.f64 -1/3 (.f64 x eps) (.f64 x 1/3))
(.f64 x (+.f64 (.f64 -1/3 eps) 1/3))
(+.f64 (.f64 -1/3 (.f64 eps x)) (*.f64 1/3 x))
(fma.f64 -1/3 (.f64 x eps) (.f64 x 1/3))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 2/3 (-.f64 1 eps)) x) 3) (.f64 (pow.f64 (.f64 x (-.f64 1 eps)) 3) 1/27))) (neg.f64 (fma.f64 4/9 (pow.f64 (.f64 x (-.f64 1 eps)) 2) (+.f64 (.f64 (pow.f64 (.f64 x (-.f64 1 eps)) 2) 1/9) (.f64 -2 (.f64 (pow.f64 (.f64 x (-.f64 1 eps)) 2) 1/9))))))
(.f64 1 (/.f64 (.f64 (pow.f64 (.f64 x (-.f64 1 eps)) 3) 1/3) (+.f64 (.f64 (pow.f64 (.f64 x (-.f64 1 eps)) 2) 5/9) (.f64 -2/9 (pow.f64 (*.f64 x (-.f64 1 eps)) 2)))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 1 eps) x) (.f64 1/3 (.f64 (-.f64 1 eps) x)))) (neg.f64 (.f64 1/3 (.f64 (-.f64 1 eps) x))))
(fma.f64 (.f64 x -1) eps (.f64 x 1))
(*.f64 x (-.f64 1 eps))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (-.f64 1 eps) x) 2) 1/9) (.f64 4/9 (pow.f64 (.f64 (-.f64 1 eps) x) 2))) (-.f64 (.f64 1/3 (.f64 (-.f64 1 eps) x)) (.f64 (.f64 (-.f64 1 eps) x) 2/3)))
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(*.f64 x (-.f64 1 eps))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (-.f64 1 (pow.f64 eps 3)) (/.f64 (+.f64 1 (fma.f64 eps eps eps)) x))
(*.f64 (/.f64 (-.f64 1 (pow.f64 eps 3)) (+.f64 1 (fma.f64 eps eps eps))) x)
(/.f64 (.f64 (-.f64 1 (.f64 eps eps)) x) (+.f64 1 eps))
(/.f64 x (/.f64 (+.f64 1 eps) (-.f64 1 (*.f64 eps eps))))
(.f64 (/.f64 x (+.f64 1 eps)) (-.f64 1 (.f64 eps eps)))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
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(*.f64 (/.f64 (-.f64 1 (pow.f64 eps 3)) (+.f64 1 (fma.f64 eps eps eps))) x)
(/.f64 (.f64 x (-.f64 1 (.f64 eps eps))) (+.f64 1 eps))
(/.f64 x (/.f64 (+.f64 1 eps) (-.f64 1 (*.f64 eps eps))))
(.f64 (/.f64 x (+.f64 1 eps)) (-.f64 1 (.f64 eps eps)))
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(fma.f64 (.f64 x -1) eps (.f64 x 1))
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(fma.f64 (.f64 x -1) eps (.f64 x 1))
(*.f64 x (-.f64 1 eps))
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(+.f64 (.f64 1/3 (.f64 x (-.f64 1 eps))) (log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 2/3 (-.f64 1 eps)) x)))))
(fma.f64 1/3 (.f64 x (-.f64 1 eps)) (log1p.f64 (expm1.f64 (.f64 (*.f64 2/3 x) (-.f64 1 eps)))))
(log.f64 (.f64 (pow.f64 (exp.f64 2/3) (.f64 (-.f64 1 eps) x)) (/.f64 (pow.f64 (exp.f64 2/3) (*.f64 (-.f64 1 eps) x)) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))))
(log.f64 (.f64 (pow.f64 (exp.f64 2/3) (.f64 x (-.f64 1 eps))) (/.f64 (pow.f64 (exp.f64 2/3) (*.f64 x (-.f64 1 eps))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))))
(log.f64 (/.f64 (pow.f64 (exp.f64 2/3) (.f64 x (.f64 (-.f64 1 eps) 2))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (-.f64 1 eps) x) 2/3))) (/.f64 (pow.f64 (exp.f64 2/3) (.f64 (-.f64 1 eps) x)) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))))
(log.f64 (.f64 (/.f64 (pow.f64 (exp.f64 2/3) (.f64 x (-.f64 1 eps))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (+.f64 1 (expm1.f64 (.f64 (.f64 2/3 (-.f64 1 eps)) x)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (exp.f64 2/3) (.f64 x (-.f64 1 eps))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))) (log1p.f64 (expm1.f64 (.f64 (*.f64 2/3 x) (-.f64 1 eps)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 3))
(fma.f64 (.f64 x -1) eps (.f64 x 1))
(*.f64 x (-.f64 1 eps))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))
(fma.f64 (.f64 x -1) eps (.f64 x 1))
(*.f64 x (-.f64 1 eps))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)))
(fma.f64 (.f64 x -1) eps (.f64 x 1))
(*.f64 x (-.f64 1 eps))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x)))
(fma.f64 (.f64 x -1) eps (.f64 x 1))
(*.f64 x (-.f64 1 eps))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 eps) x)))
(fma.f64 (.f64 x -1) eps (.f64 x 1))
(*.f64 x (-.f64 1 eps))
(exp.f64 (log.f64 (*.f64 (-.f64 1 eps) x)))
(fma.f64 (.f64 x -1) eps (.f64 x 1))
(*.f64 x (-.f64 1 eps))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 1 eps) x)) 1))
(fma.f64 (.f64 x -1) eps (.f64 x 1))
(*.f64 x (-.f64 1 eps))
(fma.f64 1 (.f64 1/3 (.f64 (-.f64 1 eps) x)) (.f64 (.f64 (-.f64 1 eps) x) 2/3))
(fma.f64 (.f64 x -1) eps (.f64 x 1))
(*.f64 x (-.f64 1 eps))
(fma.f64 1 (.f64 (.f64 (-.f64 1 eps) x) 2/3) (.f64 1/3 (.f64 (-.f64 1 eps) x)))
(fma.f64 (.f64 x -1) eps (.f64 x 1))
(*.f64 x (-.f64 1 eps))
(fma.f64 2 (.f64 1/3 (.f64 (-.f64 1 eps) x)) (.f64 1/3 (.f64 (-.f64 1 eps) x)))
(fma.f64 (.f64 x -1) eps (.f64 x 1))
(*.f64 x (-.f64 1 eps))
(fma.f64 1/3 (.f64 (-.f64 1 eps) x) (.f64 (*.f64 (-.f64 1 eps) x) 2/3))
(fma.f64 (.f64 x -1) eps (.f64 x 1))
(*.f64 x (-.f64 1 eps))
(fma.f64 (.f64 (-.f64 1 eps) x) 1/3 (.f64 (*.f64 (-.f64 1 eps) x) 2/3))
(fma.f64 (.f64 x -1) eps (.f64 x 1))
(*.f64 x (-.f64 1 eps))
(fma.f64 (.f64 1/3 (.f64 (-.f64 1 eps) x)) 2 (.f64 1/3 (.f64 (-.f64 1 eps) x)))
(fma.f64 (.f64 x -1) eps (.f64 x 1))
(*.f64 x (-.f64 1 eps))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (-.f64 1 eps) x) 2/3)) 2) (cbrt.f64 (.f64 (.f64 (-.f64 1 eps) x) 2/3)) (.f64 1/3 (.f64 (-.f64 1 eps) x)))
(fma.f64 (.f64 x -1) eps (.f64 x 1))
(*.f64 x (-.f64 1 eps))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (.f64 (-.f64 1 eps) x))) 2) (cbrt.f64 (.f64 1/3 (.f64 (-.f64 1 eps) x))) (.f64 (.f64 (-.f64 1 eps) x) 2/3))
(fma.f64 (.f64 x -1) eps (.f64 x 1))
(*.f64 x (-.f64 1 eps))
(fma.f64 (sqrt.f64 (.f64 (.f64 (-.f64 1 eps) x) 2/3)) (sqrt.f64 (.f64 (.f64 (-.f64 1 eps) x) 2/3)) (.f64 1/3 (.f64 (-.f64 1 eps) x)))
(fma.f64 (.f64 x -1) eps (.f64 x 1))
(*.f64 x (-.f64 1 eps))
(fma.f64 (sqrt.f64 (.f64 1/3 (.f64 (-.f64 1 eps) x))) (sqrt.f64 (.f64 1/3 (.f64 (-.f64 1 eps) x))) (.f64 (.f64 (-.f64 1 eps) x) 2/3))
(fma.f64 (.f64 x -1) eps (.f64 x 1))
(*.f64 x (-.f64 1 eps))
(fma.f64 (.f64 1/3 (-.f64 1 eps)) x (.f64 (*.f64 (-.f64 1 eps) x) 2/3))
(fma.f64 (.f64 x -1) eps (.f64 x 1))
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(fma.f64 2/3 (.f64 (-.f64 1 eps) x) (.f64 1/3 (*.f64 (-.f64 1 eps) x)))
(fma.f64 (.f64 x -1) eps (.f64 x 1))
(*.f64 x (-.f64 1 eps))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) 1)
(exp.f64 (*.f64 x (-.f64 1 eps)))
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(*.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(exp.f64 (*.f64 x (-.f64 1 eps)))
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 1)
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(.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (pow.f64 (exp.f64 2/3) (.f64 (-.f64 1 eps) x)))
(.f64 (pow.f64 (exp.f64 2/3) (.f64 x (-.f64 1 eps))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(.f64 (pow.f64 (exp.f64 2/3) (.f64 (-.f64 1 eps) x)) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(.f64 (pow.f64 (exp.f64 2/3) (.f64 x (-.f64 1 eps))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))
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(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2)
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(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))
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(pow.f64 (exp.f64 x) (-.f64 1 eps))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3))
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(pow.f64 (exp.f64 x) (-.f64 1 eps))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(exp.f64 (*.f64 x (-.f64 1 eps)))
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))
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(pow.f64 (exp.f64 x) (-.f64 1 eps))

localize21.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 62 to 33 computations (46.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite61.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

597×	`pow1_binary64`
555×	`log1p-expm1-u_binary64`
555×	`expm1-log1p-u_binary64`
554×	`add-log-exp_binary64`
543×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	142	8
2	1843	8

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

570×	`fma-neg_binary64`
503×	`fma-def_binary64`
341×	`associate-+l+_binary64`
307×	`associate-+r+_binary64`
289×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	481
1	201	428
2	550	388
3	2211	363
4	5125	363
5	7928	363

Stop Event

1×	node limit

Counts

36 → 59

Calls

Call 1

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

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

eval941.0ms (7.2%)

Compiler: Compiled 38212 to 27841 computations (27.1% saved)

prune486.0ms (3.7%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	1342	9	1351
Fresh	2	10	12
Picked	1	0	1
Done	3	2	5
Total	1348	21	1369

Error

0.0b

Counts

1369 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	48.5b	(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 x (+.f64 -1 eps) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3)) (+.f64 (*.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (-.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (fma.f64 x (+.f64 -1 eps) (log1p.f64 (/.f64 1 eps)))))) (pow.f64 (exp.f64 2) (fma.f64 x (+.f64 -1 eps) (log1p.f64 (/.f64 1 eps)))))) 2)
	12.3b	(/.f64 (-.f64 (pow.f64 (exp.f64 -1) (.f64 x (-.f64 1 eps))) (neg.f64 (exp.f64 (neg.f64 (.f64 eps x))))) 2)
	18.1b	(/.f64 (-.f64 (pow.f64 (exp.f64 -1) (*.f64 x (-.f64 1 eps))) (neg.f64 1)) 2)
	1.4b	(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
	18.3b	(/.f64 (-.f64 (+.f64 1 (.f64 (-.f64 eps 1) x)) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
	1.1b	(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 -1) (.f64 1/2 (.f64 x (-.f64 1 eps)))) (pow.f64 (exp.f64 -1) (.f64 1/2 (.f64 x (-.f64 1 eps))))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
▶	17.9b	(/.f64 (-.f64 (.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 x -1/4))) (fma.f64 x x -2)) 2)
▶	1.1b	(/.f64 (-.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (.f64 x (-.f64 1 eps)))) (cbrt.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
▶	18.0b	(/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (+.f64 1 (.f64 -1 (*.f64 (+.f64 1 eps) x))))) 2)
	12.3b	(/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (.f64 eps x))))) 2)
	18.6b	(/.f64 (-.f64 2 (*.f64 x (-.f64 1 eps))) 2)
▶	18.1b	(/.f64 (-.f64 2 (*.f64 x x)) 2)
	1.4b	(/.f64 (+.f64 (/.f64 x (exp.f64 x)) (/.f64 (+.f64 2 x) (exp.f64 x))) 2)
	33.0b	(/.f64 (+.f64 2 (.f64 (.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))) 2)
	18.9b	(/.f64 (+.f64 1 (exp.f64 (-.f64 x (*.f64 x eps)))) 2)
	18.9b	(/.f64 (+.f64 1 (exp.f64 (+.f64 (.f64 2/3 (.f64 (-.f64 1 eps) x)) (.f64 1/3 (.f64 (-.f64 1 eps) x))))) 2)
	17.9b	(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
▶	1.4b	(/.f64 (*.f64 (/.f64 -2 (exp.f64 x)) (-.f64 -1 x)) 2)
	45.3b	(/.f64 (cbrt.f64 (pow.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (.f64 (exp.f64 (.f64 x (-.f64 1 eps))) (+.f64 1 (/.f64 1 eps)))) 3)) 2)
✓	17.9b	(/.f64 2 2)
✓	46.3b	(/.f64 0 2)

Compiler

Compiled 828 to 646 computations (22% saved)

localize99.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 158 to 118 computations (25.3% saved)

series42.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(cbrt.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))))
2.0ms	eps	@	0	(cbrt.f64 (pow.f64 (exp.f64 -2) (*.f64 x (-.f64 1 eps))))
2.0ms	x	@	inf	(cbrt.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))))
2.0ms	eps	@	0	(cbrt.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))))
2.0ms	eps	@	-inf	(cbrt.f64 (pow.f64 (exp.f64 -2) (*.f64 x (-.f64 1 eps))))

rewrite51.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

552×	`log-prod_binary64`
530×	`pow-unpow_binary64`
371×	`pow-pow_binary64`
300×	`pow2_binary64`
206×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	264	33
2	3236	3

Stop Event

1×	node limit

Counts

3 → 3

Calls

Call 1

Inputs
(cbrt.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))))
(cbrt.f64 (pow.f64 (exp.f64 -2) (*.f64 x (-.f64 1 eps))))
(pow.f64 (exp.f64 -2) (*.f64 x (-.f64 1 eps)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 1)))))
((#(struct:change #<rule egg-rr> (2) ((x . 1)))))
((#(struct:change #<rule egg-rr> (2) ((x . 1)))))

simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

696×	`fma-neg_binary64`
549×	`distribute-rgt-in_binary64`
538×	`distribute-lft-in_binary64`
265×	`associate-r_binary64`
262×	`neg-mul-1_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	196	1936
1	634	1825
2	2302	1736
3	6978	1728

Stop Event

1×	node limit

Counts

75 → 101

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 1/3 (.f64 (-.f64 eps 1) x)))
(+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 1/2 (pow.f64 (-.f64 eps 1) 2)) (.f64 1/3 (pow.f64 (-.f64 eps 1) 2))) (pow.f64 x 2))) (+.f64 1 (.f64 1/3 (.f64 (-.f64 eps 1) x))))
(+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 1/2 (pow.f64 (-.f64 eps 1) 2)) (.f64 1/3 (pow.f64 (-.f64 eps 1) 2))) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 1/3 (.f64 (-.f64 eps 1) x)) (.f64 1/3 (.f64 (-.f64 (.f64 1/6 (pow.f64 (-.f64 eps 1) 3)) (+.f64 (.f64 2/3 (.f64 (-.f64 eps 1) (-.f64 (.f64 1/2 (pow.f64 (-.f64 eps 1) 2)) (.f64 1/3 (pow.f64 (-.f64 eps 1) 2))))) (.f64 1/27 (pow.f64 (-.f64 eps 1) 3)))) (pow.f64 x 3))))))
(pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 1/3)
(pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 1/3)
(pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 1/3)
(pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 1/3)
(pow.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) 1/3)
(pow.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) 1/3)
(pow.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) 1/3)
(pow.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) 1/3)
(pow.f64 (exp.f64 (neg.f64 x)) 1/3)
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 1/3) (.f64 1/3 (.f64 (.f64 eps x) (pow.f64 (.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 7)) 1/9))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 eps x) (pow.f64 (.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 7)) 1/9))) (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/2 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 17)) 1/9) (pow.f64 x 2)))) (pow.f64 eps 2)) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 1/3)))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 eps x) (pow.f64 (.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 7)) 1/9))) (+.f64 (.f64 1/3 (.f64 (.f64 (pow.f64 eps 3) (-.f64 (.f64 1/6 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (+.f64 (.f64 1/27 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 7)) 1/3) (pow.f64 x 3))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 4)) 1/9) (.f64 (-.f64 (.f64 1/2 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 17)) 1/9) (pow.f64 x 2)))) x)))))) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 1/3))) (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/2 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (.f64 1/3 (.f64 (pow.f64 (*.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 17)) 1/9) (pow.f64 x 2)))) (pow.f64 eps 2)) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 1/3))))))
(pow.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) 1/3)
(pow.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) 1/3)
(pow.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) 1/3)
(pow.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) 1/3)
(pow.f64 (exp.f64 (neg.f64 (.f64 (+.f64 1 (.f64 -1 eps)) x))) 1/3)
(pow.f64 (exp.f64 (neg.f64 (.f64 (+.f64 1 (.f64 -1 eps)) x))) 1/3)
(pow.f64 (exp.f64 (neg.f64 (.f64 (+.f64 1 (.f64 -1 eps)) x))) 1/3)
(pow.f64 (exp.f64 (neg.f64 (.f64 (+.f64 1 (.f64 -1 eps)) x))) 1/3)
1
(+.f64 1 (.f64 -2/3 (.f64 (-.f64 1 eps) x)))
(+.f64 1 (+.f64 (.f64 -2/3 (.f64 (-.f64 1 eps) x)) (.f64 1/3 (.f64 (-.f64 (.f64 2 (pow.f64 (-.f64 1 eps) 2)) (.f64 4/3 (pow.f64 (-.f64 1 eps) 2))) (pow.f64 x 2)))))
(+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -4/3 (pow.f64 (-.f64 1 eps) 3)) (+.f64 (.f64 -4/3 (.f64 (-.f64 (.f64 2 (pow.f64 (-.f64 1 eps) 2)) (.f64 4/3 (pow.f64 (-.f64 1 eps) 2))) (-.f64 1 eps))) (.f64 -8/27 (pow.f64 (-.f64 1 eps) 3)))) (pow.f64 x 3))) (+.f64 1 (+.f64 (.f64 -2/3 (.f64 (-.f64 1 eps) x)) (.f64 1/3 (.f64 (-.f64 (.f64 2 (pow.f64 (-.f64 1 eps) 2)) (.f64 4/3 (pow.f64 (-.f64 1 eps) 2))) (pow.f64 x 2))))))
(pow.f64 (exp.f64 (.f64 -2 (.f64 (-.f64 1 eps) x))) 1/3)
(pow.f64 (exp.f64 (.f64 -2 (.f64 (-.f64 1 eps) x))) 1/3)
(pow.f64 (exp.f64 (.f64 -2 (.f64 (-.f64 1 eps) x))) 1/3)
(pow.f64 (exp.f64 (.f64 -2 (.f64 (-.f64 1 eps) x))) 1/3)
(pow.f64 (exp.f64 (.f64 -2 (.f64 (-.f64 1 eps) x))) 1/3)
(pow.f64 (exp.f64 (.f64 -2 (.f64 (-.f64 1 eps) x))) 1/3)
(pow.f64 (exp.f64 (.f64 -2 (.f64 (-.f64 1 eps) x))) 1/3)
(pow.f64 (exp.f64 (.f64 -2 (.f64 (-.f64 1 eps) x))) 1/3)
(pow.f64 (exp.f64 (*.f64 -2 x)) 1/3)
(+.f64 (pow.f64 (exp.f64 (.f64 -2 x)) 1/3) (.f64 2/3 (.f64 (.f64 eps x) (pow.f64 (.f64 1 (pow.f64 (exp.f64 (.f64 -2 x)) 7)) 1/9))))
(+.f64 (pow.f64 (exp.f64 (.f64 -2 x)) 1/3) (+.f64 (.f64 2/3 (.f64 (.f64 eps x) (pow.f64 (.f64 1 (pow.f64 (exp.f64 (.f64 -2 x)) 7)) 1/9))) (.f64 1/3 (.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 2 (.f64 (exp.f64 (.f64 -2 x)) (pow.f64 x 2))) (.f64 4/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (.f64 -2 x)) 17)) 1/9) (pow.f64 x 2))))) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (*.f64 -2 x)) 2)) 1/3)))))
(+.f64 (pow.f64 (exp.f64 (.f64 -2 x)) 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 4/3 (.f64 (exp.f64 (.f64 -2 x)) (pow.f64 x 3))) (+.f64 (.f64 8/27 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (.f64 -2 x)) 7)) 1/3) (pow.f64 x 3))) (.f64 4/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (.f64 -2 x)) 4)) 1/9) (.f64 (-.f64 (.f64 2 (.f64 (exp.f64 (.f64 -2 x)) (pow.f64 x 2))) (.f64 4/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (.f64 -2 x)) 17)) 1/9) (pow.f64 x 2)))) x))))) (pow.f64 eps 3)) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 -2 x)) 2)) 1/3))) (+.f64 (.f64 2/3 (.f64 (.f64 eps x) (pow.f64 (.f64 1 (pow.f64 (exp.f64 (.f64 -2 x)) 7)) 1/9))) (.f64 1/3 (.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 2 (.f64 (exp.f64 (.f64 -2 x)) (pow.f64 x 2))) (.f64 4/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (.f64 -2 x)) 17)) 1/9) (pow.f64 x 2))))) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 -2 x)) 2)) 1/3))))))
(pow.f64 (exp.f64 (.f64 -2 (.f64 (-.f64 1 eps) x))) 1/3)
(pow.f64 (exp.f64 (.f64 -2 (.f64 (-.f64 1 eps) x))) 1/3)
(pow.f64 (exp.f64 (.f64 -2 (.f64 (-.f64 1 eps) x))) 1/3)
(pow.f64 (exp.f64 (.f64 -2 (.f64 (-.f64 1 eps) x))) 1/3)
(pow.f64 (exp.f64 (.f64 -2 (.f64 (+.f64 1 (*.f64 -1 eps)) x))) 1/3)
(pow.f64 (exp.f64 (.f64 -2 (.f64 (+.f64 1 (*.f64 -1 eps)) x))) 1/3)
(pow.f64 (exp.f64 (.f64 -2 (.f64 (+.f64 1 (*.f64 -1 eps)) x))) 1/3)
(pow.f64 (exp.f64 (.f64 -2 (.f64 (+.f64 1 (*.f64 -1 eps)) x))) 1/3)
1
(+.f64 1 (.f64 -2 (.f64 (-.f64 1 eps) x)))
(+.f64 1 (+.f64 (.f64 2 (.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))) (.f64 -2 (.f64 (-.f64 1 eps) x))))
(+.f64 (.f64 -4/3 (.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (.f64 2 (.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))) (.f64 -2 (.f64 (-.f64 1 eps) x)))))
(exp.f64 (.f64 -2 (.f64 (-.f64 1 eps) x)))
(exp.f64 (.f64 -2 (.f64 (-.f64 1 eps) x)))
(exp.f64 (.f64 -2 (.f64 (-.f64 1 eps) x)))
(exp.f64 (.f64 -2 (.f64 (-.f64 1 eps) x)))
(exp.f64 (.f64 -2 (.f64 (-.f64 1 eps) x)))
(exp.f64 (.f64 -2 (.f64 (-.f64 1 eps) x)))
(exp.f64 (.f64 -2 (.f64 (-.f64 1 eps) x)))
(exp.f64 (.f64 -2 (.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 -2 x))
(+.f64 (exp.f64 (.f64 -2 x)) (.f64 2 (.f64 eps (.f64 (exp.f64 (*.f64 -2 x)) x))))
(+.f64 (exp.f64 (.f64 -2 x)) (+.f64 (.f64 2 (.f64 eps (.f64 (exp.f64 (.f64 -2 x)) x))) (.f64 2 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (*.f64 -2 x)) (pow.f64 x 2))))))
(+.f64 (.f64 4/3 (.f64 (pow.f64 eps 3) (.f64 (exp.f64 (.f64 -2 x)) (pow.f64 x 3)))) (+.f64 (exp.f64 (.f64 -2 x)) (+.f64 (.f64 2 (.f64 eps (.f64 (exp.f64 (.f64 -2 x)) x))) (.f64 2 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (*.f64 -2 x)) (pow.f64 x 2)))))))
(exp.f64 (.f64 -2 (.f64 (-.f64 1 eps) x)))
(exp.f64 (.f64 -2 (.f64 (-.f64 1 eps) x)))
(exp.f64 (.f64 -2 (.f64 (-.f64 1 eps) x)))
(exp.f64 (.f64 -2 (.f64 (-.f64 1 eps) x)))
(exp.f64 (.f64 -2 (.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (.f64 -2 (.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (.f64 -2 (.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (.f64 -2 (.f64 (+.f64 1 (*.f64 -1 eps)) x)))
1
1
1

Outputs
1
(+.f64 1 (.f64 1/3 (.f64 (-.f64 eps 1) x)))
(+.f64 1 (.f64 1/3 (.f64 (+.f64 eps -1) x)))
(fma.f64 1/3 (-.f64 (*.f64 eps x) x) 1)
(+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 1/2 (pow.f64 (-.f64 eps 1) 2)) (.f64 1/3 (pow.f64 (-.f64 eps 1) 2))) (pow.f64 x 2))) (+.f64 1 (.f64 1/3 (.f64 (-.f64 eps 1) x))))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (+.f64 eps -1) 2) 1/6) (.f64 x x)) (+.f64 1 (.f64 1/3 (*.f64 (+.f64 eps -1) x))))
(fma.f64 1/3 (.f64 (pow.f64 (+.f64 eps -1) 2) (.f64 1/6 (.f64 x x))) (fma.f64 1/3 (-.f64 (.f64 eps x) x) 1))
(+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 1/2 (pow.f64 (-.f64 eps 1) 2)) (.f64 1/3 (pow.f64 (-.f64 eps 1) 2))) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 1/3 (.f64 (-.f64 eps 1) x)) (.f64 1/3 (.f64 (-.f64 (.f64 1/6 (pow.f64 (-.f64 eps 1) 3)) (+.f64 (.f64 2/3 (.f64 (-.f64 eps 1) (-.f64 (.f64 1/2 (pow.f64 (-.f64 eps 1) 2)) (.f64 1/3 (pow.f64 (-.f64 eps 1) 2))))) (.f64 1/27 (pow.f64 (-.f64 eps 1) 3)))) (pow.f64 x 3))))))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (+.f64 eps -1) 2) 1/6) (.f64 x x)) (+.f64 1 (.f64 1/3 (+.f64 (.f64 (+.f64 eps -1) x) (.f64 (-.f64 (.f64 1/6 (pow.f64 (+.f64 eps -1) 3)) (fma.f64 2/3 (.f64 (+.f64 eps -1) (.f64 (pow.f64 (+.f64 eps -1) 2) 1/6)) (.f64 (pow.f64 (+.f64 eps -1) 3) 1/27))) (pow.f64 x 3))))))
(fma.f64 1/3 (.f64 (pow.f64 (+.f64 eps -1) 2) (.f64 1/6 (.f64 x x))) (fma.f64 1/3 (fma.f64 (+.f64 eps -1) x (.f64 (-.f64 (.f64 1/6 (pow.f64 (+.f64 eps -1) 3)) (fma.f64 (.f64 1/6 (pow.f64 (+.f64 eps -1) 3)) 2/3 (*.f64 (pow.f64 (+.f64 eps -1) 3) 1/27))) (pow.f64 x 3))) 1))
(fma.f64 1/3 (.f64 (pow.f64 (+.f64 eps -1) 2) (.f64 1/6 (.f64 x x))) (fma.f64 1/3 (fma.f64 (+.f64 eps -1) x (.f64 (+.f64 (.f64 1/3 (.f64 1/6 (pow.f64 (+.f64 eps -1) 3))) (*.f64 (pow.f64 (+.f64 eps -1) 3) -1/27)) (pow.f64 x 3))) 1))
(fma.f64 1/3 (.f64 (pow.f64 (+.f64 eps -1) 2) (.f64 1/6 (.f64 x x))) (fma.f64 1/3 (fma.f64 (+.f64 eps -1) x (.f64 (fma.f64 1/3 (.f64 1/6 (pow.f64 (+.f64 eps -1) 3)) (.f64 (pow.f64 (+.f64 eps -1) 3) -1/27)) (pow.f64 x 3))) 1))
(pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 1/3)
(cbrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))
(cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 1/3)
(cbrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))
(cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 1/3)
(cbrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))
(cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 1/3)
(cbrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))
(cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(pow.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) 1/3)
(cbrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))
(cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(pow.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) 1/3)
(cbrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))
(cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(pow.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) 1/3)
(cbrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))
(cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(pow.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) 1/3)
(cbrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))
(cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(pow.f64 (exp.f64 (neg.f64 x)) 1/3)
(cbrt.f64 (exp.f64 (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 1/3) (.f64 1/3 (.f64 (.f64 eps x) (pow.f64 (.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 7)) 1/9))))
(+.f64 (cbrt.f64 (exp.f64 (neg.f64 x))) (.f64 1/3 (.f64 (.f64 eps x) (.f64 (pow.f64 (pow.f64 (exp.f64 (neg.f64 x)) 7) 1/18) (pow.f64 (pow.f64 (exp.f64 (neg.f64 x)) 7) 1/18)))))
(fma.f64 1/3 (.f64 (.f64 eps x) (*.f64 (pow.f64 (pow.f64 (exp.f64 (neg.f64 x)) 7) 1/18) (pow.f64 (pow.f64 (exp.f64 (neg.f64 x)) 7) 1/18))) (cbrt.f64 (exp.f64 (neg.f64 x))))
(fma.f64 1/3 (.f64 eps (.f64 x (*.f64 (pow.f64 (pow.f64 (exp.f64 (neg.f64 x)) 7) 1/18) (pow.f64 (pow.f64 (exp.f64 (neg.f64 x)) 7) 1/18)))) (cbrt.f64 (exp.f64 (neg.f64 x))))
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(cbrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))
(cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(pow.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) 1/3)
(cbrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))
(cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(pow.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) 1/3)
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(cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(pow.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) 1/3)
(cbrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))
(cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(pow.f64 (exp.f64 (neg.f64 (.f64 (+.f64 1 (.f64 -1 eps)) x))) 1/3)
(cbrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))
(cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(pow.f64 (exp.f64 (neg.f64 (.f64 (+.f64 1 (.f64 -1 eps)) x))) 1/3)
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(cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(pow.f64 (exp.f64 (neg.f64 (.f64 (+.f64 1 (.f64 -1 eps)) x))) 1/3)
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(pow.f64 (exp.f64 (neg.f64 (.f64 (+.f64 1 (.f64 -1 eps)) x))) 1/3)
(cbrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))
(cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
1
(+.f64 1 (.f64 -2/3 (.f64 (-.f64 1 eps) x)))
(+.f64 1 (.f64 (.f64 x (-.f64 1 eps)) -2/3))
(fma.f64 (*.f64 x (-.f64 1 eps)) -2/3 1)
(fma.f64 (*.f64 (-.f64 1 eps) -2/3) x 1)
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(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -2) x) (-.f64 1 eps)))
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(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -2) x) (-.f64 1 eps)))
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(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -2) x) (-.f64 1 eps)))
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(pow.f64 (exp.f64 (*.f64 -2 x)) 1/3)
(cbrt.f64 (exp.f64 (*.f64 x -2)))
(cbrt.f64 (pow.f64 (exp.f64 x) -2))
(cbrt.f64 (pow.f64 (exp.f64 -2) x))
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(+.f64 (cbrt.f64 (exp.f64 (.f64 x -2))) (fma.f64 2/3 (.f64 (.f64 eps x) (.f64 (pow.f64 (pow.f64 (exp.f64 (.f64 x -2)) 7) 1/18) (pow.f64 (pow.f64 (exp.f64 (.f64 x -2)) 7) 1/18))) (.f64 1/3 (.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 2 (.f64 (.f64 x x) (exp.f64 (.f64 x -2)))) (.f64 -4/3 (.f64 (.f64 x x) (.f64 (pow.f64 (pow.f64 (exp.f64 (.f64 x -2)) 17) 1/18) (pow.f64 (pow.f64 (exp.f64 (.f64 x -2)) 17) 1/18)))))) (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 (*.f64 x -2)) 2)))))))
(+.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -2)) (fma.f64 (.f64 (.f64 1/3 (.f64 eps eps)) (.f64 (.f64 x x) (-.f64 (.f64 2 (pow.f64 (exp.f64 x) -2)) (.f64 (.f64 4/3 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) -2) 17) 1/18)) (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) -2) 17) 1/18))))) (cbrt.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 x) -2) 2))) (.f64 2/3 (.f64 (.f64 eps x) (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) -2) 7) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) -2) 7) 1/18))))))
(+.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) x)) (fma.f64 1/3 (.f64 (.f64 (cbrt.f64 (exp.f64 (neg.f64 (.f64 x -4)))) (.f64 eps eps)) (.f64 (.f64 x x) (fma.f64 2 (pow.f64 (exp.f64 -2) x) (.f64 -4/3 (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 -2) x) 17) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 -2) x) 17) 1/18)))))) (.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 -2) x) 7) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 -2) x) 7) 1/18)) (.f64 (.f64 2/3 eps) x))))
(+.f64 (pow.f64 (exp.f64 (.f64 -2 x)) 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 4/3 (.f64 (exp.f64 (.f64 -2 x)) (pow.f64 x 3))) (+.f64 (.f64 8/27 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (.f64 -2 x)) 7)) 1/3) (pow.f64 x 3))) (.f64 4/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (.f64 -2 x)) 4)) 1/9) (.f64 (-.f64 (.f64 2 (.f64 (exp.f64 (.f64 -2 x)) (pow.f64 x 2))) (.f64 4/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (.f64 -2 x)) 17)) 1/9) (pow.f64 x 2)))) x))))) (pow.f64 eps 3)) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 -2 x)) 2)) 1/3))) (+.f64 (.f64 2/3 (.f64 (.f64 eps x) (pow.f64 (.f64 1 (pow.f64 (exp.f64 (.f64 -2 x)) 7)) 1/9))) (.f64 1/3 (.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 2 (.f64 (exp.f64 (.f64 -2 x)) (pow.f64 x 2))) (.f64 4/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (.f64 -2 x)) 17)) 1/9) (pow.f64 x 2))))) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 -2 x)) 2)) 1/3))))))
(+.f64 (cbrt.f64 (exp.f64 (.f64 x -2))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 x -2)) 2))) (.f64 (pow.f64 eps 3) (-.f64 (.f64 4/3 (.f64 (pow.f64 x 3) (exp.f64 (.f64 x -2)))) (fma.f64 8/27 (.f64 (pow.f64 x 3) (cbrt.f64 (pow.f64 (exp.f64 (.f64 x -2)) 7))) (.f64 4/3 (.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 (.f64 x -2)) 4) 1/18) (pow.f64 (pow.f64 (exp.f64 (.f64 x -2)) 4) 1/18)) (.f64 x (+.f64 (.f64 2 (.f64 (.f64 x x) (exp.f64 (.f64 x -2)))) (.f64 -4/3 (.f64 (.f64 x x) (.f64 (pow.f64 (pow.f64 (exp.f64 (.f64 x -2)) 17) 1/18) (pow.f64 (pow.f64 (exp.f64 (.f64 x -2)) 17) 1/18)))))))))))) (fma.f64 2/3 (.f64 (.f64 eps x) (.f64 (pow.f64 (pow.f64 (exp.f64 (.f64 x -2)) 7) 1/18) (pow.f64 (pow.f64 (exp.f64 (.f64 x -2)) 7) 1/18))) (.f64 1/3 (.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 2 (.f64 (.f64 x x) (exp.f64 (.f64 x -2)))) (.f64 -4/3 (.f64 (.f64 x x) (.f64 (pow.f64 (pow.f64 (exp.f64 (.f64 x -2)) 17) 1/18) (pow.f64 (pow.f64 (exp.f64 (.f64 x -2)) 17) 1/18)))))) (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 (*.f64 x -2)) 2))))))))
(+.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -2)) (fma.f64 (.f64 (.f64 1/3 (pow.f64 eps 3)) (+.f64 (.f64 (pow.f64 x 3) (-.f64 (.f64 4/3 (pow.f64 (exp.f64 x) -2)) (.f64 8/27 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) -2) 7))))) (.f64 -4/3 (.f64 (.f64 (.f64 x x) (-.f64 (.f64 2 (pow.f64 (exp.f64 x) -2)) (.f64 (.f64 4/3 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) -2) 17) 1/18)) (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) -2) 17) 1/18)))) (.f64 x (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) -2) 4) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) -2) 4) 1/18))))))) (cbrt.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 x) -2) 2))) (fma.f64 (.f64 (.f64 1/3 (.f64 eps eps)) (.f64 (.f64 x x) (-.f64 (.f64 2 (pow.f64 (exp.f64 x) -2)) (.f64 (.f64 4/3 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) -2) 17) 1/18)) (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) -2) 17) 1/18))))) (cbrt.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 x) -2) 2))) (.f64 2/3 (.f64 (.f64 eps x) (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) -2) 7) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) -2) 7) 1/18)))))))
(+.f64 (fma.f64 2/3 (.f64 (.f64 eps x) (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 -2) x) 7) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 -2) x) 7) 1/18))) (cbrt.f64 (pow.f64 (exp.f64 -2) x))) (.f64 (.f64 (cbrt.f64 (exp.f64 (neg.f64 (.f64 x -4)))) 1/3) (+.f64 (.f64 (pow.f64 eps 3) (fma.f64 (pow.f64 x 3) (fma.f64 4/3 (pow.f64 (exp.f64 -2) x) (.f64 -8/27 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -2) x) 7)))) (.f64 -4/3 (.f64 (.f64 (.f64 x x) (fma.f64 2 (pow.f64 (exp.f64 -2) x) (.f64 -4/3 (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 -2) x) 17) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 -2) x) 17) 1/18))))) (.f64 x (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 -2) x) 4) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 -2) x) 4) 1/18))))))) (.f64 eps (.f64 eps (.f64 (.f64 x x) (fma.f64 2 (pow.f64 (exp.f64 -2) x) (.f64 -4/3 (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 -2) x) 17) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 -2) x) 17) 1/18))))))))))
(pow.f64 (exp.f64 (.f64 -2 (.f64 (-.f64 1 eps) x))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 -2) (*.f64 x (-.f64 1 eps))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -2) x) (-.f64 1 eps)))
(pow.f64 (exp.f64 (.f64 -2 (.f64 (-.f64 1 eps) x))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 -2) (*.f64 x (-.f64 1 eps))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -2) x) (-.f64 1 eps)))
(pow.f64 (exp.f64 (.f64 -2 (.f64 (-.f64 1 eps) x))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 -2) (*.f64 x (-.f64 1 eps))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -2) x) (-.f64 1 eps)))
(pow.f64 (exp.f64 (.f64 -2 (.f64 (-.f64 1 eps) x))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 -2) (*.f64 x (-.f64 1 eps))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -2) x) (-.f64 1 eps)))
(pow.f64 (exp.f64 (.f64 -2 (.f64 (+.f64 1 (*.f64 -1 eps)) x))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 -2) (*.f64 x (-.f64 1 eps))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -2) x) (-.f64 1 eps)))
(pow.f64 (exp.f64 (.f64 -2 (.f64 (+.f64 1 (*.f64 -1 eps)) x))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 -2) (*.f64 x (-.f64 1 eps))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -2) x) (-.f64 1 eps)))
(pow.f64 (exp.f64 (.f64 -2 (.f64 (+.f64 1 (*.f64 -1 eps)) x))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 -2) (*.f64 x (-.f64 1 eps))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -2) x) (-.f64 1 eps)))
(pow.f64 (exp.f64 (.f64 -2 (.f64 (+.f64 1 (*.f64 -1 eps)) x))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 -2) (*.f64 x (-.f64 1 eps))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -2) x) (-.f64 1 eps)))
1
(+.f64 1 (.f64 -2 (.f64 (-.f64 1 eps) x)))
(+.f64 1 (.f64 (.f64 x (-.f64 1 eps)) -2))
(fma.f64 (*.f64 x (-.f64 1 eps)) -2 1)
(fma.f64 (*.f64 (-.f64 1 eps) -2) x 1)
(+.f64 1 (+.f64 (.f64 2 (.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))) (.f64 -2 (.f64 (-.f64 1 eps) x))))
(+.f64 1 (fma.f64 2 (.f64 (.f64 x x) (pow.f64 (-.f64 1 eps) 2)) (.f64 (.f64 x (-.f64 1 eps)) -2)))
(+.f64 1 (fma.f64 2 (.f64 x (.f64 x (pow.f64 (-.f64 1 eps) 2))) (.f64 (-.f64 1 eps) (.f64 x -2))))
(+.f64 1 (.f64 x (+.f64 (.f64 (-.f64 1 eps) -2) (.f64 (.f64 2 (pow.f64 (-.f64 1 eps) 2)) x))))
(+.f64 1 (.f64 x (+.f64 (.f64 (-.f64 1 eps) -2) (.f64 (.f64 2 (pow.f64 (+.f64 eps -1) 2)) x))))
(+.f64 (.f64 -4/3 (.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (.f64 2 (.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))) (.f64 -2 (.f64 (-.f64 1 eps) x)))))
(fma.f64 -4/3 (.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)) (+.f64 1 (fma.f64 2 (.f64 (.f64 x x) (pow.f64 (-.f64 1 eps) 2)) (.f64 (*.f64 x (-.f64 1 eps)) -2))))
(+.f64 (fma.f64 2 (.f64 x (.f64 x (pow.f64 (-.f64 1 eps) 2))) (.f64 (-.f64 1 eps) (.f64 x -2))) (fma.f64 -4/3 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)) 1))
(+.f64 (.f64 x (+.f64 (.f64 (-.f64 1 eps) -2) (.f64 (.f64 2 (pow.f64 (-.f64 1 eps) 2)) x))) (fma.f64 -4/3 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)) 1))
(+.f64 (.f64 x (+.f64 (.f64 (-.f64 1 eps) -2) (.f64 (.f64 2 (pow.f64 (+.f64 eps -1) 2)) x))) (fma.f64 -4/3 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)) 1))
(exp.f64 (.f64 -2 (.f64 (-.f64 1 eps) x)))
(pow.f64 (exp.f64 -2) (*.f64 x (-.f64 1 eps)))
(pow.f64 (pow.f64 (exp.f64 -2) x) (-.f64 1 eps))
(exp.f64 (.f64 -2 (.f64 (-.f64 1 eps) x)))
(pow.f64 (exp.f64 -2) (*.f64 x (-.f64 1 eps)))
(pow.f64 (pow.f64 (exp.f64 -2) x) (-.f64 1 eps))
(exp.f64 (.f64 -2 (.f64 (-.f64 1 eps) x)))
(pow.f64 (exp.f64 -2) (*.f64 x (-.f64 1 eps)))
(pow.f64 (pow.f64 (exp.f64 -2) x) (-.f64 1 eps))
(exp.f64 (.f64 -2 (.f64 (-.f64 1 eps) x)))
(pow.f64 (exp.f64 -2) (*.f64 x (-.f64 1 eps)))
(pow.f64 (pow.f64 (exp.f64 -2) x) (-.f64 1 eps))
(exp.f64 (.f64 -2 (.f64 (-.f64 1 eps) x)))
(pow.f64 (exp.f64 -2) (*.f64 x (-.f64 1 eps)))
(pow.f64 (pow.f64 (exp.f64 -2) x) (-.f64 1 eps))
(exp.f64 (.f64 -2 (.f64 (-.f64 1 eps) x)))
(pow.f64 (exp.f64 -2) (*.f64 x (-.f64 1 eps)))
(pow.f64 (pow.f64 (exp.f64 -2) x) (-.f64 1 eps))
(exp.f64 (.f64 -2 (.f64 (-.f64 1 eps) x)))
(pow.f64 (exp.f64 -2) (*.f64 x (-.f64 1 eps)))
(pow.f64 (pow.f64 (exp.f64 -2) x) (-.f64 1 eps))
(exp.f64 (.f64 -2 (.f64 (-.f64 1 eps) x)))
(pow.f64 (exp.f64 -2) (*.f64 x (-.f64 1 eps)))
(pow.f64 (pow.f64 (exp.f64 -2) x) (-.f64 1 eps))
(exp.f64 (*.f64 -2 x))
(exp.f64 (*.f64 x -2))
(pow.f64 (exp.f64 x) -2)
(pow.f64 (exp.f64 -2) x)
(+.f64 (exp.f64 (.f64 -2 x)) (.f64 2 (.f64 eps (.f64 (exp.f64 (*.f64 -2 x)) x))))
(+.f64 (exp.f64 (.f64 x -2)) (.f64 2 (.f64 eps (.f64 x (exp.f64 (*.f64 x -2))))))
(fma.f64 2 (.f64 eps (.f64 x (pow.f64 (exp.f64 x) -2))) (pow.f64 (exp.f64 x) -2))
(.f64 (+.f64 (.f64 (*.f64 eps 2) x) 1) (pow.f64 (exp.f64 -2) x))
(+.f64 (exp.f64 (.f64 -2 x)) (+.f64 (.f64 2 (.f64 eps (.f64 (exp.f64 (.f64 -2 x)) x))) (.f64 2 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (*.f64 -2 x)) (pow.f64 x 2))))))
(+.f64 (exp.f64 (.f64 x -2)) (.f64 2 (+.f64 (.f64 eps (.f64 x (exp.f64 (.f64 x -2)))) (.f64 (.f64 eps eps) (.f64 (.f64 x x) (exp.f64 (.f64 x -2)))))))
(fma.f64 2 (fma.f64 eps (.f64 x (pow.f64 (exp.f64 x) -2)) (.f64 (.f64 x x) (.f64 (*.f64 eps eps) (pow.f64 (exp.f64 x) -2)))) (pow.f64 (exp.f64 x) -2))
(fma.f64 2 (.f64 (pow.f64 (exp.f64 -2) x) (+.f64 (.f64 eps x) (.f64 (.f64 x x) (*.f64 eps eps)))) (pow.f64 (exp.f64 -2) x))
(+.f64 (.f64 4/3 (.f64 (pow.f64 eps 3) (.f64 (exp.f64 (.f64 -2 x)) (pow.f64 x 3)))) (+.f64 (exp.f64 (.f64 -2 x)) (+.f64 (.f64 2 (.f64 eps (.f64 (exp.f64 (.f64 -2 x)) x))) (.f64 2 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (*.f64 -2 x)) (pow.f64 x 2)))))))
(fma.f64 4/3 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 x 3) (exp.f64 (.f64 x -2)))) (+.f64 (exp.f64 (.f64 x -2)) (.f64 2 (+.f64 (.f64 eps (.f64 x (exp.f64 (.f64 x -2)))) (.f64 (.f64 eps eps) (.f64 (.f64 x x) (exp.f64 (*.f64 x -2))))))))
(fma.f64 4/3 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 x 3) (pow.f64 (exp.f64 x) -2))) (fma.f64 2 (fma.f64 eps (.f64 x (pow.f64 (exp.f64 x) -2)) (.f64 (.f64 x x) (.f64 (*.f64 eps eps) (pow.f64 (exp.f64 x) -2)))) (pow.f64 (exp.f64 x) -2)))
(+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 -2) x) (+.f64 (.f64 eps x) (.f64 (.f64 x x) (.f64 eps eps))))) (.f64 (+.f64 (.f64 (*.f64 (pow.f64 eps 3) 4/3) (pow.f64 x 3)) 1) (pow.f64 (exp.f64 -2) x)))
(exp.f64 (.f64 -2 (.f64 (-.f64 1 eps) x)))
(pow.f64 (exp.f64 -2) (*.f64 x (-.f64 1 eps)))
(pow.f64 (pow.f64 (exp.f64 -2) x) (-.f64 1 eps))
(exp.f64 (.f64 -2 (.f64 (-.f64 1 eps) x)))
(pow.f64 (exp.f64 -2) (*.f64 x (-.f64 1 eps)))
(pow.f64 (pow.f64 (exp.f64 -2) x) (-.f64 1 eps))
(exp.f64 (.f64 -2 (.f64 (-.f64 1 eps) x)))
(pow.f64 (exp.f64 -2) (*.f64 x (-.f64 1 eps)))
(pow.f64 (pow.f64 (exp.f64 -2) x) (-.f64 1 eps))
(exp.f64 (.f64 -2 (.f64 (-.f64 1 eps) x)))
(pow.f64 (exp.f64 -2) (*.f64 x (-.f64 1 eps)))
(pow.f64 (pow.f64 (exp.f64 -2) x) (-.f64 1 eps))
(exp.f64 (.f64 -2 (.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(pow.f64 (exp.f64 -2) (*.f64 x (-.f64 1 eps)))
(pow.f64 (pow.f64 (exp.f64 -2) x) (-.f64 1 eps))
(exp.f64 (.f64 -2 (.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(pow.f64 (exp.f64 -2) (*.f64 x (-.f64 1 eps)))
(pow.f64 (pow.f64 (exp.f64 -2) x) (-.f64 1 eps))
(exp.f64 (.f64 -2 (.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(pow.f64 (exp.f64 -2) (*.f64 x (-.f64 1 eps)))
(pow.f64 (pow.f64 (exp.f64 -2) x) (-.f64 1 eps))
(exp.f64 (.f64 -2 (.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(pow.f64 (exp.f64 -2) (*.f64 x (-.f64 1 eps)))
(pow.f64 (pow.f64 (exp.f64 -2) x) (-.f64 1 eps))
1
1
1

localize9.0ms (0.1%)

Compiler: Compiled 19 to 10 computations (47.4% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 33 to 22 computations (33.3% saved)

series3.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite56.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

894×	`pow1_binary64`
836×	`add-log-exp_binary64`
835×	`log1p-expm1-u_binary64`
835×	`expm1-log1p-u_binary64`
823×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	172	18
2	2227	18

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

Outputs

((#(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 (/.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 (sqrt.f64 (/.f64 -2 (exp.f64 x))) (sqrt.f64 (/.f64 -2 (exp.f64 x))))))) (#(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))))))

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

simplify43.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

768×	`times-frac_binary64`
694×	`fma-def_binary64`
605×	`associate-/l*_binary64`
368×	`unswap-sqr_binary64`
271×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	179	1196
1	523	1025
2	2126	945

Stop Event

1×	node limit

Counts

77 → 99

Calls

Call 1

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

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

localize42.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 100 to 74 computations (26% saved)

series4.0ms (0%)

Counts

2 → 44

Calls

12 calls:

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

rewrite67.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

694×	`log-prod_binary64`
601×	`fma-def_binary64`
275×	`fma-neg_binary64`
231×	`expm1-udef_binary64`
230×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	34
1	329	28
2	4866	21

Stop Event

1×	node limit

Counts

2 → 139

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (fma.f64 eps x x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (fma.f64 eps x x)) (+.f64 (+.f64 1 (fma.f64 eps x x)) (+.f64 1 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (fma.f64 eps x x)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps x x)))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps x x))) 2) (+.f64 1 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (fma.f64 eps x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 0) (+.f64 1 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (fma.f64 eps x x)))) (cbrt.f64 (exp.f64 (+.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (fma.f64 eps x x)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (fma.f64 eps x x))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (fma.f64 eps x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (fma.f64 eps x x)) 2) (/.f64 1 (+.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (fma.f64 eps x x))) (pow.f64 (cbrt.f64 (+.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (fma.f64 eps x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (fma.f64 eps x x))) 2) (cbrt.f64 (+.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (fma.f64 eps x x))) (sqrt.f64 (+.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (+.f64 1 (fma.f64 eps x x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (fma.f64 eps x x)) 2) (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (fma.f64 eps x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (+.f64 1 (fma.f64 eps x x)))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (+.f64 1 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (fma.f64 eps x x)) 2) (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (fma.f64 eps x x))))) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (+.f64 1 (fma.f64 eps x x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (fma.f64 eps x x)) (pow.f64 (+.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (fma.f64 eps x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (fma.f64 eps x x)) 2) (+.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (+.f64 1 (fma.f64 eps x x)) 3)) (+.f64 (pow.f64 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((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 1 (fma.f64 eps x x)))) (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (fma.f64 eps x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (fma.f64 eps x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (fma.f64 eps x x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (fma.f64 eps x x)) (+.f64 (+.f64 1 (fma.f64 eps x x)) (+.f64 1 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (fma.f64 eps x x)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps x x)))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps x x))) 2) (+.f64 1 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 1 (+.f64 1 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (+.f64 1 (fma.f64 eps x x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (fma.f64 eps x x)) 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (fma.f64 eps x x)) -1 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eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (fma.f64 eps x x))) (neg.f64 (sqrt.f64 (+.f64 1 (fma.f64 eps x x)))) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (+.f64 1 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (+.f64 1 (fma.f64 eps x x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (fma.f64 eps x x)) 2) (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (fma.f64 eps x x)))))) (+.f64 (+.f64 1 (fma.f64 eps x x)) (+.f64 1 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (+.f64 1 (fma.f64 eps x x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (fma.f64 eps x x)) 2) (exp.f64 (fma.f64 x (-.f64 1 eps) 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simplify117.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

366×	`unswap-sqr_binary64`
333×	`+-commutative_binary64`
329×	`*-commutative_binary64`
305×	`associate-/l*_binary64`
243×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	327	3593
1	819	3304
2	2677	3132
3	7871	3096

Stop Event

1×	node limit

Counts

183 → 246

Calls

Call 1

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

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

localize38.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 2/3 (*.f64 x -1/4))
✓	0.0b	(-.f64 (.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 x -1/4))) (fma.f64 x x -2))
✓	0.1b	(.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 x -1/4)))

Compiler

Compiled 62 to 46 computations (25.8% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 x -1/4)))
1.0ms	x	@	-inf	(.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 x -1/4)))
1.0ms	x	@	inf	(.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 x -1/4)))
0.0ms	x	@	inf	(-.f64 (.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 x -1/4))) (fma.f64 x x -2))
0.0ms	x	@	-inf	(-.f64 (.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 x -1/4))) (fma.f64 x x -2))

rewrite81.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

581×	`log-prod_binary64`
481×	`fma-def_binary64`
399×	`pow-prod-down_binary64`
334×	`pow2_binary64`
248×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	40
1	279	34
2	3565	34

Stop Event

1×	node limit

Counts

3 → 227

Calls

Call 1

Inputs
(.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 x -1/4)))
(-.f64 (.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 x -1/4))) (fma.f64 x x -2))
(+.f64 2/3 (*.f64 x -1/4))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) 2/3) (*.f64 (pow.f64 x 3) (*.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) (*.f64 x -1/4)) (*.f64 (pow.f64 x 3) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 x 3) 2/3) 1) (*.f64 (*.f64 (pow.f64 x 3) (*.f64 x -1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/4 2/3)) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/4 2/3)) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/4 2/3)) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/4 2/3)) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3)))) 1)))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x -1/4 2/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4/9 (+.f64 2/3 (*.f64 1/4 x))) (/.f64 (*.f64 (*.f64 x x) 1/16) (+.f64 2/3 (*.f64 1/4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -1/4 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -1/4 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -1/4 2/3)) (pow.f64 (cbrt.f64 (fma.f64 x -1/4 2/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 2/3)) 2) (cbrt.f64 (fma.f64 x -1/4 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -1/4 2/3)) (sqrt.f64 (fma.f64 x -1/4 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 3) -1/64 8/27) (/.f64 1 (fma.f64 (*.f64 x -1/4) (fma.f64 x -1/4 -2/3) 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4/9 (*.f64 (*.f64 x x) 1/16)) (/.f64 1 (+.f64 2/3 (*.f64 1/4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 x -1/4) (fma.f64 x -1/4 -2/3) 4/9) (fma.f64 (pow.f64 x 3) -1/64 8/27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 2/3 (*.f64 1/4 x)) (-.f64 4/9 (*.f64 (*.f64 x x) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) -1/64 8/27) (fma.f64 (*.f64 x -1/4) (fma.f64 x -1/4 -2/3) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) -1/64 8/27) (fma.f64 (*.f64 x x) 1/16 (-.f64 4/9 (*.f64 -1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4/9 (*.f64 (*.f64 x x) 1/16)) (+.f64 2/3 (*.f64 1/4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 3) -1/64 8/27)) (neg.f64 (fma.f64 (*.f64 x -1/4) (fma.f64 x -1/4 -2/3) 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4/9 (*.f64 (*.f64 x x) 1/16))) (neg.f64 (+.f64 2/3 (*.f64 1/4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 x x) 1/16 -4/9) (fma.f64 x -1/4 -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -1/4 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -1/4 2/3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -1/4 2/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -1/4 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -1/4 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 x -1/4) (fma.f64 x -1/4 -2/3) 4/9) (fma.f64 (pow.f64 x 3) -1/64 8/27)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 2/3 (*.f64 1/4 x)) (-.f64 4/9 (*.f64 (*.f64 x x) 1/16))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -1/4 2/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -1/4 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -1/4 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -1/4 2/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -1/4 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -1/4 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -1/4 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x -1/4 2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -1/4 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/4 x 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -1/4) 1 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x -1/4) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1/4) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x -1/4)) (pow.f64 (cbrt.f64 (*.f64 x -1/4)) 2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/4)) 2) (cbrt.f64 (*.f64 x -1/4)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/4) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -1/4)) (sqrt.f64 (*.f64 x -1/4)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/4 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/4 (sqrt.f64 x)) (sqrt.f64 x) 2/3)))))

simplify116.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

814×	`fma-neg_binary64`
438×	`associate-/l*_binary64`
422×	`cancel-sign-sub-inv_binary64`
264×	`distribute-rgt-neg-in_binary64`
240×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	460	5394
1	1089	4388
2	3389	4352

Stop Event

1×	node limit

Counts

263 → 279

Calls

Call 1

Inputs
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (.f64 -1/4 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 -1/4 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 -1/4 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 3)))
(*.f64 -1/4 (pow.f64 x 4))
(+.f64 (.f64 -1/4 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 -1/4 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 -1/4 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 3)))
(*.f64 -1/4 (pow.f64 x 4))
(+.f64 (.f64 -1/4 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 -1/4 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 -1/4 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 3)))
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 -1/4 (pow.f64 x 4))
(+.f64 (.f64 -1/4 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 3)))
(+.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 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -1/4 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 3)))))
(*.f64 -1/4 (pow.f64 x 4))
(+.f64 (.f64 -1/4 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 3)))
(+.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 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -1/4 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 3)))))
2/3
(+.f64 2/3 (*.f64 -1/4 x))
(+.f64 2/3 (*.f64 -1/4 x))
(+.f64 2/3 (*.f64 -1/4 x))
(*.f64 -1/4 x)
(+.f64 2/3 (*.f64 -1/4 x))
(+.f64 2/3 (*.f64 -1/4 x))
(+.f64 2/3 (*.f64 -1/4 x))
(*.f64 -1/4 x)
(+.f64 2/3 (*.f64 -1/4 x))
(+.f64 2/3 (*.f64 -1/4 x))
(+.f64 2/3 (*.f64 -1/4 x))
(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 (pow.f64 x 3) (*.f64 x -1/4)))
(+.f64 (.f64 (pow.f64 x 3) (.f64 x -1/4)) (*.f64 (pow.f64 x 3) 2/3))
(+.f64 0 (*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3)))
(+.f64 (.f64 (.f64 (pow.f64 x 3) 2/3) 1) (.f64 (.f64 (pow.f64 x 3) (*.f64 x -1/4)) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/4 2/3)) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/4 2/3)) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/4 2/3)) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/4 2/3)) (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3)))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 3) 2/3) 3) (.f64 (pow.f64 x 9) (.f64 (pow.f64 x 3) -1/64))) (+.f64 (pow.f64 (.f64 (pow.f64 x 3) 2/3) 2) (-.f64 (pow.f64 (.f64 (pow.f64 x 3) (.f64 x -1/4)) 2) (.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 (pow.f64 x 3) (.f64 x -1/4))))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 3) 2/3) 2) (pow.f64 (.f64 (pow.f64 x 3) (.f64 x -1/4)) 2)) (-.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 (pow.f64 x 3) (.f64 x -1/4))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) -1/64 8/27) (pow.f64 x 3)) (fma.f64 (.f64 x -1/4) (fma.f64 x -1/4 -2/3) 4/9))
(/.f64 (.f64 (-.f64 4/9 (.f64 (.f64 x x) 1/16)) (pow.f64 x 3)) (+.f64 2/3 (.f64 1/4 x)))
(/.f64 (.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 3) -1/64 8/27)) (fma.f64 (.f64 x -1/4) (fma.f64 x -1/4 -2/3) 4/9))
(/.f64 (.f64 (pow.f64 x 3) (-.f64 4/9 (.f64 (.f64 x x) 1/16))) (+.f64 2/3 (.f64 1/4 x)))
(pow.f64 (*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3)) 1)
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 (fma.f64 x -1/4 2/3))) 6) 1/2)
(pow.f64 (*.f64 x (cbrt.f64 (fma.f64 x -1/4 2/3))) 3)
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 x -1/4 2/3)) (pow.f64 x 3/2)) 2)
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 (fma.f64 x -1/4 2/3))) 9) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (cbrt.f64 (fma.f64 x -1/4 2/3))) 6))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x -1/4 2/3)) (pow.f64 x 3)))
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(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 2/3)) 2) (*.f64 (cbrt.f64 (fma.f64 x -1/4 2/3)) (pow.f64 x 3)) (neg.f64 (fma.f64 x x -2)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 2/3)) 2) (.f64 (cbrt.f64 (fma.f64 x -1/4 2/3)) (pow.f64 x 3)) (.f64 (neg.f64 (fma.f64 x x -2)) 1))
(fma.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (neg.f64 (fma.f64 x x -2)))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (neg.f64 (fma.f64 x x -2)))) 2) (fma.f64 (neg.f64 (fma.f64 x x -2)) 1 (fma.f64 x x -2)))
(fma.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (neg.f64 (fma.f64 x x -2)))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (neg.f64 (fma.f64 x x -2)))) 2) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x x -2))) (pow.f64 (cbrt.f64 (fma.f64 x x -2)) 2) (fma.f64 x x -2)))
(fma.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (neg.f64 (fma.f64 x x -2)))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (neg.f64 (fma.f64 x x -2)))) 2) (+.f64 (neg.f64 (fma.f64 x x -2)) (fma.f64 x x -2)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (neg.f64 (fma.f64 x x -2)))) 2) (cbrt.f64 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (neg.f64 (fma.f64 x x -2)))) (fma.f64 (neg.f64 (fma.f64 x x -2)) 1 (fma.f64 x x -2)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (neg.f64 (fma.f64 x x -2)))) 2) (cbrt.f64 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (neg.f64 (fma.f64 x x -2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x x -2))) (pow.f64 (cbrt.f64 (fma.f64 x x -2)) 2) (fma.f64 x x -2)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (neg.f64 (fma.f64 x x -2)))) 2) (cbrt.f64 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (neg.f64 (fma.f64 x x -2)))) (+.f64 (neg.f64 (fma.f64 x x -2)) (fma.f64 x x -2)))
(fma.f64 (.f64 x (cbrt.f64 (fma.f64 x -1/4 2/3))) (pow.f64 (.f64 x (cbrt.f64 (fma.f64 x -1/4 2/3))) 2) (neg.f64 (fma.f64 x x -2)))
(fma.f64 (.f64 x (cbrt.f64 (fma.f64 x -1/4 2/3))) (pow.f64 (.f64 x (cbrt.f64 (fma.f64 x -1/4 2/3))) 2) (*.f64 (neg.f64 (fma.f64 x x -2)) 1))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 (fma.f64 x -1/4 2/3))) 2) (.f64 x (cbrt.f64 (fma.f64 x -1/4 2/3))) (neg.f64 (fma.f64 x x -2)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 (fma.f64 x -1/4 2/3))) 2) (.f64 x (cbrt.f64 (fma.f64 x -1/4 2/3))) (*.f64 (neg.f64 (fma.f64 x x -2)) 1))
(fma.f64 (sqrt.f64 (fma.f64 x x -2)) (neg.f64 (sqrt.f64 (fma.f64 x x -2))) (*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3)))
(fma.f64 (sqrt.f64 (fma.f64 x -1/4 2/3)) (*.f64 (sqrt.f64 (fma.f64 x -1/4 2/3)) (pow.f64 x 3)) (neg.f64 (fma.f64 x x -2)))
(fma.f64 (sqrt.f64 (fma.f64 x -1/4 2/3)) (.f64 (sqrt.f64 (fma.f64 x -1/4 2/3)) (pow.f64 x 3)) (.f64 (neg.f64 (fma.f64 x x -2)) 1))
(fma.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (neg.f64 (fma.f64 x x -2)))) (sqrt.f64 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (neg.f64 (fma.f64 x x -2)))) (fma.f64 (neg.f64 (fma.f64 x x -2)) 1 (fma.f64 x x -2)))
(fma.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (neg.f64 (fma.f64 x x -2)))) (sqrt.f64 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (neg.f64 (fma.f64 x x -2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x x -2))) (pow.f64 (cbrt.f64 (fma.f64 x x -2)) 2) (fma.f64 x x -2)))
(fma.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (neg.f64 (fma.f64 x x -2)))) (sqrt.f64 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (neg.f64 (fma.f64 x x -2)))) (+.f64 (neg.f64 (fma.f64 x x -2)) (fma.f64 x x -2)))
(fma.f64 (.f64 (sqrt.f64 (fma.f64 x -1/4 2/3)) (pow.f64 x 3/2)) (.f64 (sqrt.f64 (fma.f64 x -1/4 2/3)) (pow.f64 x 3/2)) (neg.f64 (fma.f64 x x -2)))
(fma.f64 (.f64 (sqrt.f64 (fma.f64 x -1/4 2/3)) (pow.f64 x 3/2)) (.f64 (sqrt.f64 (fma.f64 x -1/4 2/3)) (pow.f64 x 3/2)) (*.f64 (neg.f64 (fma.f64 x x -2)) 1))
(fma.f64 (-.f64 (pow.f64 (.f64 x (cbrt.f64 (fma.f64 x -1/4 2/3))) 9) (pow.f64 (fma.f64 x x -2) 3)) (/.f64 1 (fma.f64 (fma.f64 x x -2) (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (fma.f64 x x -2)) (pow.f64 (.f64 x (cbrt.f64 (fma.f64 x -1/4 2/3))) 6))) (fma.f64 (neg.f64 (fma.f64 x x -2)) 1 (fma.f64 x x -2)))
(fma.f64 (-.f64 (pow.f64 (.f64 x (cbrt.f64 (fma.f64 x -1/4 2/3))) 9) (pow.f64 (fma.f64 x x -2) 3)) (/.f64 1 (fma.f64 (fma.f64 x x -2) (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (fma.f64 x x -2)) (pow.f64 (.f64 x (cbrt.f64 (fma.f64 x -1/4 2/3))) 6))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x x -2))) (pow.f64 (cbrt.f64 (fma.f64 x x -2)) 2) (fma.f64 x x -2)))
(fma.f64 (-.f64 (pow.f64 (.f64 x (cbrt.f64 (fma.f64 x -1/4 2/3))) 9) (pow.f64 (fma.f64 x x -2) 3)) (/.f64 1 (fma.f64 (fma.f64 x x -2) (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (fma.f64 x x -2)) (pow.f64 (.f64 x (cbrt.f64 (fma.f64 x -1/4 2/3))) 6))) (+.f64 (neg.f64 (fma.f64 x x -2)) (fma.f64 x x -2)))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (cbrt.f64 (fma.f64 x -1/4 2/3))) 6) (pow.f64 (fma.f64 x x -2) 2)) (/.f64 1 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (fma.f64 x x -2))) (fma.f64 (neg.f64 (fma.f64 x x -2)) 1 (fma.f64 x x -2)))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (cbrt.f64 (fma.f64 x -1/4 2/3))) 6) (pow.f64 (fma.f64 x x -2) 2)) (/.f64 1 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (fma.f64 x x -2))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x x -2))) (pow.f64 (cbrt.f64 (fma.f64 x x -2)) 2) (fma.f64 x x -2)))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (cbrt.f64 (fma.f64 x -1/4 2/3))) 6) (pow.f64 (fma.f64 x x -2) 2)) (/.f64 1 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (fma.f64 x x -2))) (+.f64 (neg.f64 (fma.f64 x x -2)) (fma.f64 x x -2)))
(fma.f64 (pow.f64 x 3/2) (.f64 (pow.f64 x 3/2) 2/3) (-.f64 (.f64 (pow.f64 x 3) (*.f64 x -1/4)) (fma.f64 x x -2)))
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) (fma.f64 x -1/4 2/3)) (neg.f64 (fma.f64 x x -2)))
(fma.f64 (pow.f64 x 3/2) (.f64 (pow.f64 x 3/2) (fma.f64 x -1/4 2/3)) (.f64 (neg.f64 (fma.f64 x x -2)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 3) 2/3)) 2) (cbrt.f64 (.f64 (pow.f64 x 3) 2/3)) (-.f64 (.f64 (pow.f64 x 3) (.f64 x -1/4)) (fma.f64 x x -2)))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (fma.f64 x x -2))) 2) (cbrt.f64 (neg.f64 (fma.f64 x x -2))) (*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3)))
(fma.f64 (sqrt.f64 (.f64 (pow.f64 x 3) 2/3)) (sqrt.f64 (.f64 (pow.f64 x 3) 2/3)) (-.f64 (.f64 (pow.f64 x 3) (.f64 x -1/4)) (fma.f64 x x -2)))
(fma.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -2))) (sqrt.f64 (neg.f64 (fma.f64 x x -2))) (*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3)))
(fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -2))) (sqrt.f64 (fma.f64 x x -2)) (*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3)))
(fma.f64 -1 (fma.f64 x x -2) (*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3)))
(fma.f64 (fma.f64 (sqrt.f64 (fma.f64 x -1/4 2/3)) (pow.f64 x 3/2) (sqrt.f64 (fma.f64 x x -2))) (-.f64 (*.f64 (sqrt.f64 (fma.f64 x -1/4 2/3)) (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x x -2))) (fma.f64 (neg.f64 (fma.f64 x x -2)) 1 (fma.f64 x x -2)))
(fma.f64 (fma.f64 (sqrt.f64 (fma.f64 x -1/4 2/3)) (pow.f64 x 3/2) (sqrt.f64 (fma.f64 x x -2))) (-.f64 (*.f64 (sqrt.f64 (fma.f64 x -1/4 2/3)) (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x x -2))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x x -2))) (pow.f64 (cbrt.f64 (fma.f64 x x -2)) 2) (fma.f64 x x -2)))
(fma.f64 (fma.f64 (sqrt.f64 (fma.f64 x -1/4 2/3)) (pow.f64 x 3/2) (sqrt.f64 (fma.f64 x x -2))) (-.f64 (*.f64 (sqrt.f64 (fma.f64 x -1/4 2/3)) (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x x -2))) (+.f64 (neg.f64 (fma.f64 x x -2)) (fma.f64 x x -2)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -2)) 2)) (cbrt.f64 (fma.f64 x x -2)) (*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3)))
(fma.f64 (.f64 2/3 x) (.f64 x x) (-.f64 (.f64 (pow.f64 x 3) (.f64 x -1/4)) (fma.f64 x x -2)))
(fma.f64 (.f64 2/3 (.f64 x x)) x (-.f64 (.f64 (pow.f64 x 3) (.f64 x -1/4)) (fma.f64 x x -2)))
(fma.f64 (.f64 2/3 (pow.f64 x 3/2)) (pow.f64 x 3/2) (-.f64 (.f64 (pow.f64 x 3) (*.f64 x -1/4)) (fma.f64 x x -2)))
(fma.f64 (*.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 (fma.f64 x -1/4 2/3)) 2)) (cbrt.f64 (fma.f64 x -1/4 2/3)) (neg.f64 (fma.f64 x x -2)))
(fma.f64 (.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 (fma.f64 x -1/4 2/3)) 2)) (cbrt.f64 (fma.f64 x -1/4 2/3)) (.f64 (neg.f64 (fma.f64 x x -2)) 1))
(fma.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 (fma.f64 x -1/4 2/3))) (sqrt.f64 (fma.f64 x -1/4 2/3)) (neg.f64 (fma.f64 x x -2)))
(fma.f64 (.f64 (pow.f64 x 3) (sqrt.f64 (fma.f64 x -1/4 2/3))) (sqrt.f64 (fma.f64 x -1/4 2/3)) (.f64 (neg.f64 (fma.f64 x x -2)) 1))
(fma.f64 (.f64 (fma.f64 x -1/4 2/3) x) (.f64 x x) (neg.f64 (fma.f64 x x -2)))
(fma.f64 (.f64 (fma.f64 x -1/4 2/3) x) (.f64 x x) (*.f64 (neg.f64 (fma.f64 x x -2)) 1))
(fma.f64 (.f64 (fma.f64 x -1/4 2/3) (.f64 x x)) x (neg.f64 (fma.f64 x x -2)))
(fma.f64 (.f64 (fma.f64 x -1/4 2/3) (.f64 x x)) x (*.f64 (neg.f64 (fma.f64 x x -2)) 1))
(fma.f64 (*.f64 (fma.f64 x -1/4 2/3) (pow.f64 x 3/2)) (pow.f64 x 3/2) (neg.f64 (fma.f64 x x -2)))
(fma.f64 (.f64 (fma.f64 x -1/4 2/3) (pow.f64 x 3/2)) (pow.f64 x 3/2) (.f64 (neg.f64 (fma.f64 x x -2)) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x -1/4 2/3))) 1)
(-.f64 (/.f64 4/9 (+.f64 2/3 (.f64 1/4 x))) (/.f64 (.f64 (.f64 x x) 1/16) (+.f64 2/3 (.f64 1/4 x))))
(*.f64 (fma.f64 x -1/4 2/3) 1)
(*.f64 1 (fma.f64 x -1/4 2/3))
(*.f64 (cbrt.f64 (fma.f64 x -1/4 2/3)) (pow.f64 (cbrt.f64 (fma.f64 x -1/4 2/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 2/3)) 2) (cbrt.f64 (fma.f64 x -1/4 2/3)))
(*.f64 (sqrt.f64 (fma.f64 x -1/4 2/3)) (sqrt.f64 (fma.f64 x -1/4 2/3)))
(.f64 (fma.f64 (pow.f64 x 3) -1/64 8/27) (/.f64 1 (fma.f64 (.f64 x -1/4) (fma.f64 x -1/4 -2/3) 4/9)))
(.f64 (-.f64 4/9 (.f64 (.f64 x x) 1/16)) (/.f64 1 (+.f64 2/3 (.f64 1/4 x))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x -1/4) (fma.f64 x -1/4 -2/3) 4/9) (fma.f64 (pow.f64 x 3) -1/64 8/27)))
(/.f64 1 (/.f64 (+.f64 2/3 (.f64 1/4 x)) (-.f64 4/9 (.f64 (*.f64 x x) 1/16))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/64 8/27) (fma.f64 (*.f64 x -1/4) (fma.f64 x -1/4 -2/3) 4/9))
(/.f64 (fma.f64 (pow.f64 x 3) -1/64 8/27) (fma.f64 (.f64 x x) 1/16 (-.f64 4/9 (.f64 -1/6 x))))
(/.f64 (-.f64 4/9 (.f64 (.f64 x x) 1/16)) (+.f64 2/3 (*.f64 1/4 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) -1/64 8/27)) (neg.f64 (fma.f64 (*.f64 x -1/4) (fma.f64 x -1/4 -2/3) 4/9)))
(/.f64 (neg.f64 (-.f64 4/9 (.f64 (.f64 x x) 1/16))) (neg.f64 (+.f64 2/3 (*.f64 1/4 x))))
(/.f64 (fma.f64 (*.f64 x x) 1/16 -4/9) (fma.f64 x -1/4 -2/3))
(pow.f64 (fma.f64 x -1/4 2/3) 1)
(pow.f64 (pow.f64 (fma.f64 x -1/4 2/3) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x -1/4 2/3) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x -1/4 2/3)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x -1/4 2/3)) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 x -1/4) (fma.f64 x -1/4 -2/3) 4/9) (fma.f64 (pow.f64 x 3) -1/64 8/27)) -1)
(pow.f64 (/.f64 (+.f64 2/3 (.f64 1/4 x)) (-.f64 4/9 (.f64 (*.f64 x x) 1/16))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x -1/4 2/3) 2))
(log.f64 (exp.f64 (fma.f64 x -1/4 2/3)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -1/4 2/3))))
(cbrt.f64 (pow.f64 (fma.f64 x -1/4 2/3) 3))
(expm1.f64 (log1p.f64 (fma.f64 x -1/4 2/3)))
(log1p.f64 (expm1.f64 (fma.f64 x -1/4 2/3)))
(exp.f64 (log.f64 (fma.f64 x -1/4 2/3)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -1/4 2/3)) 1))
(fma.f64 x -1/4 2/3)
(fma.f64 -1/4 x 2/3)
(fma.f64 (*.f64 x -1/4) 1 2/3)
(fma.f64 1 (*.f64 x -1/4) 2/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1/4) 2/3)
(fma.f64 (cbrt.f64 (.f64 x -1/4)) (pow.f64 (cbrt.f64 (.f64 x -1/4)) 2) 2/3)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x -1/4)) 2) (cbrt.f64 (.f64 x -1/4)) 2/3)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/4) 2/3)
(fma.f64 (sqrt.f64 (.f64 x -1/4)) (sqrt.f64 (.f64 x -1/4)) 2/3)
(fma.f64 (*.f64 -1/4 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 2/3)
(fma.f64 (*.f64 -1/4 (sqrt.f64 x)) (sqrt.f64 x) 2/3)

Outputs
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (.f64 -1/4 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 -1/4 (pow.f64 x 4) (*.f64 2/3 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3))
(+.f64 (.f64 -1/4 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 -1/4 (pow.f64 x 4) (*.f64 2/3 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3))
(+.f64 (.f64 -1/4 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 -1/4 (pow.f64 x 4) (*.f64 2/3 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3))
(*.f64 -1/4 (pow.f64 x 4))
(+.f64 (.f64 -1/4 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 -1/4 (pow.f64 x 4) (*.f64 2/3 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3))
(+.f64 (.f64 -1/4 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 -1/4 (pow.f64 x 4) (*.f64 2/3 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3))
(+.f64 (.f64 -1/4 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 -1/4 (pow.f64 x 4) (*.f64 2/3 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3))
(*.f64 -1/4 (pow.f64 x 4))
(+.f64 (.f64 -1/4 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 -1/4 (pow.f64 x 4) (*.f64 2/3 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3))
(+.f64 (.f64 -1/4 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 -1/4 (pow.f64 x 4) (*.f64 2/3 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3))
(+.f64 (.f64 -1/4 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 -1/4 (pow.f64 x 4) (*.f64 2/3 (pow.f64 x 3)))
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(-.f64 (*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3)) (fma.f64 x x -2))
(fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (-.f64 2 (*.f64 x x)))
(fma.f64 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (neg.f64 (fma.f64 x x -2))) 1 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x x -2))) (pow.f64 (cbrt.f64 (fma.f64 x x -2)) 2) (fma.f64 x x -2)))
(+.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 (pow.f64 x 3) (fma.f64 x -1/4 2/3)) (fma.f64 x x -2))
(fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (-.f64 2 (*.f64 x x)))
(fma.f64 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (neg.f64 (fma.f64 x x -2))) 1 (+.f64 (neg.f64 (fma.f64 x x -2)) (fma.f64 x x -2)))
(+.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 (pow.f64 x 3) (fma.f64 x -1/4 2/3)) (fma.f64 x x -2))
(fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (-.f64 2 (*.f64 x x)))
(fma.f64 1 (*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3)) (neg.f64 (fma.f64 x x -2)))
(+.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 (pow.f64 x 3) (fma.f64 x -1/4 2/3)) (fma.f64 x x -2))
(fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (-.f64 2 (*.f64 x x)))
(fma.f64 1 (.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3)) (.f64 (neg.f64 (fma.f64 x x -2)) 1))
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(-.f64 (*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3)) (fma.f64 x x -2))
(fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (-.f64 2 (*.f64 x x)))
(fma.f64 1 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (neg.f64 (fma.f64 x x -2))) (fma.f64 (neg.f64 (fma.f64 x x -2)) 1 (fma.f64 x x -2)))
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(-.f64 (*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3)) (fma.f64 x x -2))
(fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (-.f64 2 (*.f64 x x)))
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(-.f64 (*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3)) (fma.f64 x x -2))
(fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (-.f64 2 (*.f64 x x)))
(fma.f64 1 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (neg.f64 (fma.f64 x x -2))) (+.f64 (neg.f64 (fma.f64 x x -2)) (fma.f64 x x -2)))
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(-.f64 (*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3)) (fma.f64 x x -2))
(fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (-.f64 2 (*.f64 x x)))
(fma.f64 1 (neg.f64 (fma.f64 x x -2)) (*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3)))
(+.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 (pow.f64 x 3) (fma.f64 x -1/4 2/3)) (fma.f64 x x -2))
(fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (-.f64 2 (*.f64 x x)))
(fma.f64 1 (.f64 (pow.f64 x 3) 2/3) (-.f64 (.f64 (pow.f64 x 3) (*.f64 x -1/4)) (fma.f64 x x -2)))
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(-.f64 (*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3)) (fma.f64 x x -2))
(fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (-.f64 2 (*.f64 x x)))
(fma.f64 (.f64 x x) (.f64 x 2/3) (-.f64 (.f64 (pow.f64 x 3) (.f64 x -1/4)) (fma.f64 x x -2)))
(+.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 (pow.f64 x 3) (fma.f64 x -1/4 2/3)) (fma.f64 x x -2))
(fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (-.f64 2 (*.f64 x x)))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x -1/4 2/3)) (neg.f64 (fma.f64 x x -2)))
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(-.f64 (*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3)) (fma.f64 x x -2))
(fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (-.f64 2 (*.f64 x x)))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x -1/4 2/3)) (*.f64 (neg.f64 (fma.f64 x x -2)) 1))
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(-.f64 (*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3)) (fma.f64 x x -2))
(fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (-.f64 2 (*.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -2)) 2) (neg.f64 (cbrt.f64 (fma.f64 x x -2))) (*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3)))
(+.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 (pow.f64 x 3) (fma.f64 x -1/4 2/3)) (fma.f64 x x -2))
(fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (-.f64 2 (*.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 2/3)) 2) (*.f64 (cbrt.f64 (fma.f64 x -1/4 2/3)) (pow.f64 x 3)) (neg.f64 (fma.f64 x x -2)))
(+.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 (pow.f64 x 3) (fma.f64 x -1/4 2/3)) (fma.f64 x x -2))
(fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (-.f64 2 (*.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 2/3)) 2) (.f64 (cbrt.f64 (fma.f64 x -1/4 2/3)) (pow.f64 x 3)) (.f64 (neg.f64 (fma.f64 x x -2)) 1))
(+.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 (pow.f64 x 3) (fma.f64 x -1/4 2/3)) (fma.f64 x x -2))
(fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (-.f64 2 (*.f64 x x)))
(fma.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (neg.f64 (fma.f64 x x -2)))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (neg.f64 (fma.f64 x x -2)))) 2) (fma.f64 (neg.f64 (fma.f64 x x -2)) 1 (fma.f64 x x -2)))
(+.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 (pow.f64 x 3) (fma.f64 x -1/4 2/3)) (fma.f64 x x -2))
(fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (-.f64 2 (*.f64 x x)))
(fma.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (neg.f64 (fma.f64 x x -2)))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (neg.f64 (fma.f64 x x -2)))) 2) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x x -2))) (pow.f64 (cbrt.f64 (fma.f64 x x -2)) 2) (fma.f64 x x -2)))
(+.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 (pow.f64 x 3) (fma.f64 x -1/4 2/3)) (fma.f64 x x -2))
(fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (-.f64 2 (*.f64 x x)))
(fma.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (neg.f64 (fma.f64 x x -2)))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (neg.f64 (fma.f64 x x -2)))) 2) (+.f64 (neg.f64 (fma.f64 x x -2)) (fma.f64 x x -2)))
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(-.f64 (*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3)) (fma.f64 x x -2))
(fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (-.f64 2 (*.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (neg.f64 (fma.f64 x x -2)))) 2) (cbrt.f64 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (neg.f64 (fma.f64 x x -2)))) (fma.f64 (neg.f64 (fma.f64 x x -2)) 1 (fma.f64 x x -2)))
(+.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 (pow.f64 x 3) (fma.f64 x -1/4 2/3)) (fma.f64 x x -2))
(fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (-.f64 2 (*.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (neg.f64 (fma.f64 x x -2)))) 2) (cbrt.f64 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (neg.f64 (fma.f64 x x -2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x x -2))) (pow.f64 (cbrt.f64 (fma.f64 x x -2)) 2) (fma.f64 x x -2)))
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(-.f64 (*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3)) (fma.f64 x x -2))
(fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (-.f64 2 (*.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (neg.f64 (fma.f64 x x -2)))) 2) (cbrt.f64 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (neg.f64 (fma.f64 x x -2)))) (+.f64 (neg.f64 (fma.f64 x x -2)) (fma.f64 x x -2)))
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(-.f64 (*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3)) (fma.f64 x x -2))
(fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (-.f64 2 (*.f64 x x)))
(fma.f64 (.f64 x (cbrt.f64 (fma.f64 x -1/4 2/3))) (pow.f64 (.f64 x (cbrt.f64 (fma.f64 x -1/4 2/3))) 2) (neg.f64 (fma.f64 x x -2)))
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(-.f64 (*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3)) (fma.f64 x x -2))
(fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (-.f64 2 (*.f64 x x)))
(fma.f64 (.f64 x (cbrt.f64 (fma.f64 x -1/4 2/3))) (pow.f64 (.f64 x (cbrt.f64 (fma.f64 x -1/4 2/3))) 2) (*.f64 (neg.f64 (fma.f64 x x -2)) 1))
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(-.f64 (*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3)) (fma.f64 x x -2))
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(-.f64 (*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3)) (fma.f64 x x -2))
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(fma.f64 (pow.f64 (.f64 x (cbrt.f64 (fma.f64 x -1/4 2/3))) 2) (.f64 x (cbrt.f64 (fma.f64 x -1/4 2/3))) (*.f64 (neg.f64 (fma.f64 x x -2)) 1))
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(-.f64 (*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3)) (fma.f64 x x -2))
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(fma.f64 (sqrt.f64 (fma.f64 x x -2)) (neg.f64 (sqrt.f64 (fma.f64 x x -2))) (*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3)))
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(-.f64 (*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3)) (fma.f64 x x -2))
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(-.f64 (*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3)) (fma.f64 x x -2))
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(-.f64 (*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3)) (fma.f64 x x -2))
(fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (-.f64 2 (*.f64 x x)))
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(-.f64 (*.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3)) (fma.f64 x x -2))
(fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (-.f64 2 (*.f64 x x)))
(fma.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (neg.f64 (fma.f64 x x -2)))) (sqrt.f64 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (neg.f64 (fma.f64 x x -2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x x -2))) (pow.f64 (cbrt.f64 (fma.f64 x x -2)) 2) (fma.f64 x x -2)))
(+.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 (pow.f64 x 3) (fma.f64 x -1/4 2/3)) (fma.f64 x x -2))
(fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (-.f64 2 (*.f64 x x)))
(fma.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (neg.f64 (fma.f64 x x -2)))) (sqrt.f64 (fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (neg.f64 (fma.f64 x x -2)))) (+.f64 (neg.f64 (fma.f64 x x -2)) (fma.f64 x x -2)))
(+.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 (pow.f64 x 3) (fma.f64 x -1/4 2/3)) (fma.f64 x x -2))
(fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (-.f64 2 (*.f64 x x)))
(fma.f64 (.f64 (sqrt.f64 (fma.f64 x -1/4 2/3)) (pow.f64 x 3/2)) (.f64 (sqrt.f64 (fma.f64 x -1/4 2/3)) (pow.f64 x 3/2)) (neg.f64 (fma.f64 x x -2)))
(+.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 (pow.f64 x 3) (fma.f64 x -1/4 2/3)) (fma.f64 x x -2))
(fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (-.f64 2 (*.f64 x x)))
(fma.f64 (.f64 (sqrt.f64 (fma.f64 x -1/4 2/3)) (pow.f64 x 3/2)) (.f64 (sqrt.f64 (fma.f64 x -1/4 2/3)) (pow.f64 x 3/2)) (*.f64 (neg.f64 (fma.f64 x x -2)) 1))
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(fma.f64 (*.f64 (fma.f64 x -1/4 2/3) (pow.f64 x 3/2)) (pow.f64 x 3/2) (neg.f64 (fma.f64 x x -2)))
(+.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 (pow.f64 x 3) (fma.f64 x -1/4 2/3)) (fma.f64 x x -2))
(fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (-.f64 2 (*.f64 x x)))
(fma.f64 (.f64 (fma.f64 x -1/4 2/3) (pow.f64 x 3/2)) (pow.f64 x 3/2) (.f64 (neg.f64 (fma.f64 x x -2)) 1))
(+.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 (pow.f64 x 3) (fma.f64 x -1/4 2/3)) (fma.f64 x x -2))
(fma.f64 (pow.f64 x 3) (fma.f64 x -1/4 2/3) (-.f64 2 (*.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x -1/4 2/3))) 1)
(fma.f64 x -1/4 2/3)
(-.f64 (/.f64 4/9 (+.f64 2/3 (.f64 1/4 x))) (/.f64 (.f64 (.f64 x x) 1/16) (+.f64 2/3 (.f64 1/4 x))))
(/.f64 (-.f64 4/9 (.f64 x (.f64 x 1/16))) (+.f64 2/3 (*.f64 x 1/4)))
(/.f64 (-.f64 4/9 (.f64 x (.f64 x 1/16))) (fma.f64 x 1/4 2/3))
(/.f64 (fma.f64 x (*.f64 x 1/16) -4/9) (fma.f64 x -1/4 -2/3))
(*.f64 (fma.f64 x -1/4 2/3) 1)
(fma.f64 x -1/4 2/3)
(*.f64 1 (fma.f64 x -1/4 2/3))
(fma.f64 x -1/4 2/3)
(*.f64 (cbrt.f64 (fma.f64 x -1/4 2/3)) (pow.f64 (cbrt.f64 (fma.f64 x -1/4 2/3)) 2))
(fma.f64 x -1/4 2/3)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 2/3)) 2) (cbrt.f64 (fma.f64 x -1/4 2/3)))
(fma.f64 x -1/4 2/3)
(*.f64 (sqrt.f64 (fma.f64 x -1/4 2/3)) (sqrt.f64 (fma.f64 x -1/4 2/3)))
(fma.f64 x -1/4 2/3)
(.f64 (fma.f64 (pow.f64 x 3) -1/64 8/27) (/.f64 1 (fma.f64 (.f64 x -1/4) (fma.f64 x -1/4 -2/3) 4/9)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x -1/4) (fma.f64 x -1/4 -2/3) 4/9) (fma.f64 (pow.f64 x 3) -1/64 8/27)))
(/.f64 (fma.f64 (pow.f64 x 3) -1/64 8/27) (fma.f64 (*.f64 x -1/4) (fma.f64 x -1/4 -2/3) 4/9))
(.f64 (-.f64 4/9 (.f64 (.f64 x x) 1/16)) (/.f64 1 (+.f64 2/3 (.f64 1/4 x))))
(/.f64 (-.f64 4/9 (.f64 x (.f64 x 1/16))) (+.f64 2/3 (*.f64 x 1/4)))
(/.f64 (-.f64 4/9 (.f64 x (.f64 x 1/16))) (fma.f64 x 1/4 2/3))
(/.f64 (fma.f64 x (*.f64 x 1/16) -4/9) (fma.f64 x -1/4 -2/3))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x -1/4) (fma.f64 x -1/4 -2/3) 4/9) (fma.f64 (pow.f64 x 3) -1/64 8/27)))
(/.f64 (fma.f64 (pow.f64 x 3) -1/64 8/27) (fma.f64 (*.f64 x -1/4) (fma.f64 x -1/4 -2/3) 4/9))
(/.f64 1 (/.f64 (+.f64 2/3 (.f64 1/4 x)) (-.f64 4/9 (.f64 (*.f64 x x) 1/16))))
(/.f64 (-.f64 4/9 (.f64 x (.f64 x 1/16))) (+.f64 2/3 (*.f64 x 1/4)))
(/.f64 (-.f64 4/9 (.f64 x (.f64 x 1/16))) (fma.f64 x 1/4 2/3))
(/.f64 (fma.f64 x (*.f64 x 1/16) -4/9) (fma.f64 x -1/4 -2/3))
(/.f64 (fma.f64 (pow.f64 x 3) -1/64 8/27) (fma.f64 (*.f64 x -1/4) (fma.f64 x -1/4 -2/3) 4/9))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x -1/4) (fma.f64 x -1/4 -2/3) 4/9) (fma.f64 (pow.f64 x 3) -1/64 8/27)))
(/.f64 (fma.f64 (pow.f64 x 3) -1/64 8/27) (fma.f64 (.f64 x x) 1/16 (-.f64 4/9 (.f64 -1/6 x))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/64 8/27) (fma.f64 (.f64 x x) 1/16 (+.f64 4/9 (.f64 1/6 x))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/64 8/27) (fma.f64 x (.f64 x 1/16) (-.f64 4/9 (.f64 x -1/6))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/64 8/27) (fma.f64 x (.f64 x 1/16) (+.f64 4/9 (.f64 x 1/6))))
(/.f64 (-.f64 4/9 (.f64 (.f64 x x) 1/16)) (+.f64 2/3 (*.f64 1/4 x)))
(/.f64 (-.f64 4/9 (.f64 x (.f64 x 1/16))) (+.f64 2/3 (*.f64 x 1/4)))
(/.f64 (-.f64 4/9 (.f64 x (.f64 x 1/16))) (fma.f64 x 1/4 2/3))
(/.f64 (fma.f64 x (*.f64 x 1/16) -4/9) (fma.f64 x -1/4 -2/3))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) -1/64 8/27)) (neg.f64 (fma.f64 (*.f64 x -1/4) (fma.f64 x -1/4 -2/3) 4/9)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x -1/4) (fma.f64 x -1/4 -2/3) 4/9) (fma.f64 (pow.f64 x 3) -1/64 8/27)))
(/.f64 (fma.f64 (pow.f64 x 3) -1/64 8/27) (fma.f64 (*.f64 x -1/4) (fma.f64 x -1/4 -2/3) 4/9))
(/.f64 (neg.f64 (-.f64 4/9 (.f64 (.f64 x x) 1/16))) (neg.f64 (+.f64 2/3 (*.f64 1/4 x))))
(/.f64 (-.f64 4/9 (.f64 x (.f64 x 1/16))) (+.f64 2/3 (*.f64 x 1/4)))
(/.f64 (-.f64 4/9 (.f64 x (.f64 x 1/16))) (fma.f64 x 1/4 2/3))
(/.f64 (fma.f64 x (*.f64 x 1/16) -4/9) (fma.f64 x -1/4 -2/3))
(/.f64 (fma.f64 (*.f64 x x) 1/16 -4/9) (fma.f64 x -1/4 -2/3))
(/.f64 (-.f64 4/9 (.f64 x (.f64 x 1/16))) (+.f64 2/3 (*.f64 x 1/4)))
(/.f64 (-.f64 4/9 (.f64 x (.f64 x 1/16))) (fma.f64 x 1/4 2/3))
(/.f64 (fma.f64 x (*.f64 x 1/16) -4/9) (fma.f64 x -1/4 -2/3))
(pow.f64 (fma.f64 x -1/4 2/3) 1)
(fma.f64 x -1/4 2/3)
(pow.f64 (pow.f64 (fma.f64 x -1/4 2/3) 2) 1/2)
(fma.f64 x -1/4 2/3)
(pow.f64 (pow.f64 (fma.f64 x -1/4 2/3) 3) 1/3)
(fma.f64 x -1/4 2/3)
(pow.f64 (cbrt.f64 (fma.f64 x -1/4 2/3)) 3)
(fma.f64 x -1/4 2/3)
(pow.f64 (sqrt.f64 (fma.f64 x -1/4 2/3)) 2)
(fma.f64 x -1/4 2/3)
(pow.f64 (/.f64 (fma.f64 (*.f64 x -1/4) (fma.f64 x -1/4 -2/3) 4/9) (fma.f64 (pow.f64 x 3) -1/64 8/27)) -1)
(/.f64 1 (/.f64 (fma.f64 (*.f64 x -1/4) (fma.f64 x -1/4 -2/3) 4/9) (fma.f64 (pow.f64 x 3) -1/64 8/27)))
(/.f64 (fma.f64 (pow.f64 x 3) -1/64 8/27) (fma.f64 (*.f64 x -1/4) (fma.f64 x -1/4 -2/3) 4/9))
(pow.f64 (/.f64 (+.f64 2/3 (.f64 1/4 x)) (-.f64 4/9 (.f64 (*.f64 x x) 1/16))) -1)
(/.f64 (-.f64 4/9 (.f64 x (.f64 x 1/16))) (+.f64 2/3 (*.f64 x 1/4)))
(/.f64 (-.f64 4/9 (.f64 x (.f64 x 1/16))) (fma.f64 x 1/4 2/3))
(/.f64 (fma.f64 x (*.f64 x 1/16) -4/9) (fma.f64 x -1/4 -2/3))
(sqrt.f64 (pow.f64 (fma.f64 x -1/4 2/3) 2))
(fma.f64 x -1/4 2/3)
(log.f64 (exp.f64 (fma.f64 x -1/4 2/3)))
(fma.f64 x -1/4 2/3)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -1/4 2/3))))
(fma.f64 x -1/4 2/3)
(cbrt.f64 (pow.f64 (fma.f64 x -1/4 2/3) 3))
(fma.f64 x -1/4 2/3)
(expm1.f64 (log1p.f64 (fma.f64 x -1/4 2/3)))
(fma.f64 x -1/4 2/3)
(log1p.f64 (expm1.f64 (fma.f64 x -1/4 2/3)))
(fma.f64 x -1/4 2/3)
(exp.f64 (log.f64 (fma.f64 x -1/4 2/3)))
(fma.f64 x -1/4 2/3)
(exp.f64 (*.f64 (log.f64 (fma.f64 x -1/4 2/3)) 1))
(fma.f64 x -1/4 2/3)
(fma.f64 x -1/4 2/3)
(fma.f64 -1/4 x 2/3)
(fma.f64 x -1/4 2/3)
(fma.f64 (*.f64 x -1/4) 1 2/3)
(fma.f64 x -1/4 2/3)
(fma.f64 1 (*.f64 x -1/4) 2/3)
(fma.f64 x -1/4 2/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1/4) 2/3)
(fma.f64 x -1/4 2/3)
(fma.f64 (cbrt.f64 (.f64 x -1/4)) (pow.f64 (cbrt.f64 (.f64 x -1/4)) 2) 2/3)
(fma.f64 x -1/4 2/3)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x -1/4)) 2) (cbrt.f64 (.f64 x -1/4)) 2/3)
(fma.f64 x -1/4 2/3)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/4) 2/3)
(fma.f64 x -1/4 2/3)
(fma.f64 (sqrt.f64 (.f64 x -1/4)) (sqrt.f64 (.f64 x -1/4)) 2/3)
(fma.f64 x -1/4 2/3)
(fma.f64 (*.f64 -1/4 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 2/3)
(fma.f64 x -1/4 2/3)
(fma.f64 (*.f64 -1/4 (sqrt.f64 x)) (sqrt.f64 x) 2/3)
(fma.f64 x -1/4 2/3)

eval984.0ms (7.5%)

Compiler: Compiled 39667 to 27634 computations (30.3% saved)

prune451.0ms (3.5%)

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	1335	7	1342
Fresh	2	12	14
Picked	1	0	1
Done	3	3	6
Total	1341	22	1363

Error

0.0b

Counts

1363 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	1.4b	(/.f64 (/.f64 (-.f64 -1 x) (*.f64 (exp.f64 x) -1/2)) 2)
	48.5b	(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 x (+.f64 -1 eps) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3)) (+.f64 (*.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (-.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (fma.f64 x (+.f64 -1 eps) (log1p.f64 (/.f64 1 eps)))))) (pow.f64 (exp.f64 2) (fma.f64 x (+.f64 -1 eps) (log1p.f64 (/.f64 1 eps)))))) 2)
	12.3b	(/.f64 (-.f64 (pow.f64 (exp.f64 -1) (.f64 x (-.f64 1 eps))) (neg.f64 (exp.f64 (neg.f64 (.f64 eps x))))) 2)
	18.1b	(/.f64 (-.f64 (pow.f64 (exp.f64 -1) (*.f64 x (-.f64 1 eps))) (neg.f64 1)) 2)
	1.4b	(/.f64 (-.f64 (+.f64 1 (/.f64 -2 (/.f64 (exp.f64 x) (-.f64 -1 x)))) 1) 2)
	18.3b	(/.f64 (-.f64 (+.f64 1 (.f64 (-.f64 eps 1) x)) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
	1.1b	(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 -1) (.f64 1/2 (.f64 x (-.f64 1 eps)))) (pow.f64 (exp.f64 -1) (.f64 1/2 (.f64 x (-.f64 1 eps))))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
	18.0b	(/.f64 (-.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (.f64 x (-.f64 1 eps)))) (cbrt.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))))) (neg.f64 1)) 2)
	17.9b	(/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (+.f64 1 (.f64 -1 (*.f64 x eps))))) 2)
	12.3b	(/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (.f64 eps x))))) 2)
	18.6b	(/.f64 (-.f64 2 (*.f64 x (-.f64 1 eps))) 2)
✓	18.1b	(/.f64 (-.f64 2 (*.f64 x x)) 2)
	33.0b	(/.f64 (+.f64 2 (.f64 (.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))) 2)
	18.9b	(/.f64 (+.f64 1 (exp.f64 (-.f64 x (*.f64 x eps)))) 2)
	18.9b	(/.f64 (+.f64 1 (exp.f64 (+.f64 (.f64 2/3 (.f64 (-.f64 1 eps) x)) (.f64 1/3 (.f64 (-.f64 1 eps) x))))) 2)
	17.9b	(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
	18.1b	(/.f64 (.f64 (+.f64 -2 (.f64 x (-.f64 2 x))) (-.f64 -1 x)) 2)
	1.4b	(/.f64 (.f64 (.f64 (exp.f64 (neg.f64 x)) -2) (-.f64 -1 x)) 2)
	61.7b	(/.f64 (*.f64 (neg.f64 eps) x) 2)
	45.3b	(/.f64 (cbrt.f64 (pow.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (.f64 (exp.f64 (.f64 x (-.f64 1 eps))) (+.f64 1 (/.f64 1 eps)))) 3)) 2)
✓	17.9b	(/.f64 2 2)
✓	46.3b	(/.f64 0 2)

Compiler

Compiled 411 to 326 computations (20.7% saved)

regimes98.0ms (0.7%)

Counts

47 → 2

Calls

Call 1

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

Outputs

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

(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 x (+.f64 -1 eps) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3)) (+.f64 (*.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (-.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (fma.f64 x (+.f64 -1 eps) (log1p.f64 (/.f64 1 eps)))))) (pow.f64 (exp.f64 2) (fma.f64 x (+.f64 -1 eps) (log1p.f64 (/.f64 1 eps)))))) 2)

Calls

4 calls:

40.0ms	x
20.0ms	eps
7.0ms	(/.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)
6.0ms	(-.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)))))

Results

Error	Segments	Branch
1.1b	1	`x`
1.1b	1	`eps`
0.0b	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)`
0.0b	2	`(-.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 999 to 730 computations (26.9% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0	2.0000003971956426

Compiler

Compiled 36 to 29 computations (19.4% saved)

regimes159.0ms (1.2%)

Counts

46 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

21.0ms	x
21.0ms	eps
7.0ms	(/.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)
6.0ms	(-.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)))))

Results

Error	Segments	Branch
1.1b	1	`x`
1.1b	1	`eps`
0.0b	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)`
0.0b	2	`(-.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 926 to 681 computations (26.5% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.9867133796215057	2.0

Compiler

Compiled 36 to 29 computations (19.4% saved)

regimes59.0ms (0.5%)

Counts

35 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

17.0ms	eps
15.0ms	x
6.0ms	(-.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)))))
5.0ms	(/.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
1.1b	1	`x`
1.1b	1	`eps`
0.0b	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)`
0.0b	2	`(-.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 630 to 470 computations (25.4% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.9867133796215057	2.0

Compiler

Compiled 36 to 29 computations (19.4% saved)

regimes61.0ms (0.5%)

Counts

34 → 2

Calls

Call 1

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

Outputs

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

Calls

4 calls:

18.0ms	x
16.0ms	eps
6.0ms	(/.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)
5.0ms	(-.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)))))

Results

Error	Segments	Branch
1.1b	1	`x`
1.1b	1	`eps`
0.0b	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)`
0.0b	2	`(-.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 613 to 461 computations (24.8% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.9867133796215057	2.0

Compiler

Compiled 36 to 29 computations (19.4% saved)

regimes42.0ms (0.3%)

Counts

30 → 1

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	eps
15.0ms	x

Results

Error	Segments	Branch
1.4b	1	`x`
1.4b	1	`eps`

Compiler

Compiled 459 to 345 computations (24.8% saved)

regimes38.0ms (0.3%)

Counts

29 → 1

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	x
13.0ms	eps

Results

Error	Segments	Branch
1.4b	1	`x`
1.4b	1	`eps`

Compiler

Compiled 442 to 335 computations (24.2% saved)

regimes17.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	eps
7.0ms	x

Results

Error	Segments	Branch
1.4b	1	`x`
1.4b	1	`eps`

Compiler

Compiled 109 to 84 computations (22.9% saved)

regimes39.0ms (0.3%)

Counts

9 → 2

Calls

Call 1

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

Outputs
(/.f64 (.f64 (+.f64 -2 (.f64 x (-.f64 2 x))) (-.f64 -1 x)) 2)
(/.f64 0 2)

Calls

2 calls:

25.0ms	eps
11.0ms	x

Results

Error	Segments	Branch
2.0b	2	`x`
14.9b	5	`eps`

Compiler

Compiled 89 to 70 computations (21.3% saved)

bsearch69.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
68.0ms	0.06849199059542177	30472.151889745266

Results

25.0ms	48×	body	1024	valid
13.0ms	41×	body	512	valid
12.0ms	49×	body	256	infinite
9.0ms	9×	body	2048	valid
8.0ms	46×	body	256	valid

Compiler

Compiled 234 to 200 computations (14.5% saved)

regimes30.0ms (0.2%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	eps
9.0ms	x

Results

Error	Segments	Branch
2.0b	2	`x`
15.0b	5	`eps`

Compiler

Compiled 36 to 28 computations (22.2% saved)

bsearch71.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
71.0ms	0.06849199059542177	30472.151889745266

Results

35.0ms	66×	body	1024	valid
15.0ms	43×	body	512	valid
8.0ms	51×	body	256	infinite
6.0ms	28×	body	256	valid
5.0ms	7×	body	2048	valid

Compiler

Compiled 180 to 155 computations (13.9% saved)

regimes23.0ms (0.2%)

Accuracy

Total -60.0b remaining (-2783.4%)

Threshold costs -60.0b (-2783.4%)

Counts

3 → 2

Calls

Call 1

Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 (neg.f64 eps) x) 2)

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

Calls

2 calls:

15.0ms	eps
7.0ms	x

Results

Error	Segments	Branch
2.2b	2	`x`
15.0b	5	`eps`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch67.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
67.0ms	0.06849199059542177	30472.151889745266

Results

27.0ms	53×	body	1024	valid
13.0ms	36×	body	512	valid
11.0ms	44×	body	256	infinite
8.0ms	47×	body	256	valid
6.0ms	8×	body	2048	valid

Compiler

Compiled 144 to 137 computations (4.9% saved)

simplify41.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

118×	`distribute-rgt-neg-in_binary64`
117×	`cancel-sign-sub-inv_binary64`
83×	`distribute-lft-neg-in_binary64`
74×	`neg-sub0_binary64`
74×	`neg-mul-1_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	100	603
1	186	587
2	278	565
3	371	565
4	486	565
5	613	565
6	760	565
7	902	565
8	963	565
9	985	565
10	993	565

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.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 x 1) (exp.f64 x)) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2) (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 x (+.f64 -1 eps) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3)) (+.f64 (.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (-.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (fma.f64 x (+.f64 -1 eps) (log1p.f64 (/.f64 1 eps)))))) (pow.f64 (exp.f64 2) (fma.f64 x (+.f64 -1 eps) (log1p.f64 (/.f64 1 eps)))))) 2))
(if (<=.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 x 1) (exp.f64 x)) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2) (/.f64 (-.f64 (pow.f64 (exp.f64 -1) (.f64 x (-.f64 1 eps))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2))
(if (<=.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 x 1) (exp.f64 x)) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2) (/.f64 (-.f64 (pow.f64 (exp.f64 -1) (.f64 x (-.f64 1 eps))) (neg.f64 (exp.f64 (neg.f64 (*.f64 eps x))))) 2))
(if (<=.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 x 1) (exp.f64 x)) (neg.f64 (.f64 (+.f64 x 1) (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 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (/.f64 (-.f64 -1 x) (*.f64 (exp.f64 x) -1/2)) 2)
(/.f64 (*.f64 (/.f64 -2 (exp.f64 x)) (-.f64 -1 x)) 2)
(if (<=.f64 x 360) (/.f64 (.f64 (+.f64 -2 (.f64 x (-.f64 2 x))) (-.f64 -1 x)) 2) (/.f64 0 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
(if (<=.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 x 1) (exp.f64 x)) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2) (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 x (+.f64 -1 eps) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3)) (+.f64 (.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (-.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (fma.f64 x (+.f64 -1 eps) (log1p.f64 (/.f64 1 eps)))))) (pow.f64 (exp.f64 2) (fma.f64 x (+.f64 -1 eps) (log1p.f64 (/.f64 1 eps)))))) 2))
(if (<=.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 x) (exp.f64 x)) (.f64 (neg.f64 (+.f64 1 x)) (exp.f64 (neg.f64 x)))) 2) (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 x (+.f64 eps -1) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3)) (+.f64 (.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (-.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (fma.f64 x (+.f64 eps -1) (log1p.f64 (/.f64 1 eps)))))) (pow.f64 (exp.f64 2) (fma.f64 x (+.f64 eps -1) (log1p.f64 (/.f64 1 eps)))))) 2))
(if (<=.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 x (+.f64 -1 (neg.f64 eps)))))) 2) (/.f64 (+.f64 (/.f64 (+.f64 1 x) (exp.f64 x)) (.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))) 2) (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 x (+.f64 eps -1) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3)) (+.f64 (.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (-.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (fma.f64 x (+.f64 eps -1) (log1p.f64 (/.f64 1 eps)))))) (pow.f64 (exp.f64 2) (fma.f64 x (+.f64 eps -1) (log1p.f64 (/.f64 1 eps)))))) 2))
(if (<=.f64 (+.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (+.f64 1 (/.f64 -1 eps)))) 2) (/.f64 (+.f64 (/.f64 (+.f64 1 x) (exp.f64 x)) (.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))) 2) (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 x (+.f64 eps -1) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3)) (+.f64 (.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (-.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (fma.f64 x (+.f64 eps -1) (log1p.f64 (/.f64 1 eps)))))) (pow.f64 (exp.f64 2) (fma.f64 x (+.f64 eps -1) (log1p.f64 (/.f64 1 eps)))))) 2))
(if (<=.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 x 1) (exp.f64 x)) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2) (/.f64 (-.f64 (pow.f64 (exp.f64 -1) (.f64 x (-.f64 1 eps))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2))
(if (<=.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 x) (exp.f64 x)) (.f64 (neg.f64 (+.f64 1 x)) (exp.f64 (neg.f64 x)))) 2) (/.f64 (-.f64 (pow.f64 (exp.f64 -1) (.f64 (-.f64 1 eps) x)) (neg.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2))
(if (<=.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 x (+.f64 -1 (neg.f64 eps)))))) 2) (/.f64 (+.f64 (/.f64 (+.f64 1 x) (exp.f64 x)) (.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))) 2) (/.f64 (+.f64 (exp.f64 (.f64 x (+.f64 -1 (neg.f64 eps)))) (pow.f64 (exp.f64 -1) (*.f64 (-.f64 1 eps) x))) 2))
(if (<=.f64 (+.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (+.f64 1 (/.f64 -1 eps)))) 2) (/.f64 (+.f64 (/.f64 (+.f64 1 x) (exp.f64 x)) (.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))) 2) (/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (pow.f64 (exp.f64 -1) (*.f64 (-.f64 1 eps) x))) 2))
(if (<=.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 x 1) (exp.f64 x)) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2) (/.f64 (-.f64 (pow.f64 (exp.f64 -1) (.f64 x (-.f64 1 eps))) (neg.f64 (exp.f64 (neg.f64 (*.f64 eps x))))) 2))
(if (<=.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 x) (exp.f64 x)) (.f64 (neg.f64 (+.f64 1 x)) (exp.f64 (neg.f64 x)))) 2) (/.f64 (-.f64 (pow.f64 (exp.f64 -1) (.f64 (-.f64 1 eps) x)) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x))))) 2))
(if (<=.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 x (+.f64 -1 (neg.f64 eps)))))) 2) (/.f64 (+.f64 (/.f64 (+.f64 1 x) (exp.f64 x)) (.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))) 2) (/.f64 (+.f64 (pow.f64 (exp.f64 -1) (.f64 (-.f64 1 eps) x)) (exp.f64 (*.f64 eps (neg.f64 x)))) 2))
(if (<=.f64 (+.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (+.f64 1 (/.f64 -1 eps)))) 2) (/.f64 (+.f64 (/.f64 (+.f64 1 x) (exp.f64 x)) (.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))) 2) (/.f64 (+.f64 (pow.f64 (exp.f64 -1) (.f64 (-.f64 1 eps) x)) (exp.f64 (*.f64 eps (neg.f64 x)))) 2))
(if (<=.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 x 1) (exp.f64 x)) (neg.f64 (.f64 (+.f64 x 1) (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))
(if (<=.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 x) (exp.f64 x)) (.f64 (neg.f64 (+.f64 1 x)) (exp.f64 (neg.f64 x)))) 2) (/.f64 (-.f64 (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2))
(if (<=.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 x (+.f64 -1 (neg.f64 eps)))))) 2) (/.f64 (+.f64 (/.f64 (+.f64 1 x) (exp.f64 x)) (.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))) 2) (/.f64 (+.f64 (exp.f64 (.f64 x (+.f64 -1 (neg.f64 eps)))) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) 2))
(if (<=.f64 (+.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (+.f64 1 (/.f64 -1 eps)))) 2) (/.f64 (+.f64 (/.f64 (+.f64 1 x) (exp.f64 x)) (.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))) 2) (/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (exp.f64 (*.f64 x (+.f64 eps -1)))) 2))
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 1 x) (exp.f64 x)) (*.f64 (neg.f64 (+.f64 1 x)) (exp.f64 (neg.f64 x)))) 2)
(/.f64 (+.f64 (/.f64 (+.f64 1 x) (exp.f64 x)) (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))) 2)
(/.f64 (/.f64 (-.f64 -1 x) (*.f64 (exp.f64 x) -1/2)) 2)
(/.f64 (*.f64 (/.f64 -2 (exp.f64 x)) (-.f64 -1 x)) 2)
(/.f64 (*.f64 (-.f64 -1 x) (/.f64 -2 (exp.f64 x))) 2)
(/.f64 (*.f64 (+.f64 1 x) (/.f64 2 (exp.f64 x))) 2)
(if (<=.f64 x 360) (/.f64 (.f64 (+.f64 -2 (.f64 x (-.f64 2 x))) (-.f64 -1 x)) 2) (/.f64 0 2))
(if (<=.f64 x 360) (/.f64 (.f64 (-.f64 -1 x) (+.f64 -2 (.f64 x (-.f64 2 x)))) 2) 0)
(if (<=.f64 x 360) (/.f64 (.f64 (+.f64 1 x) (-.f64 2 (.f64 x (-.f64 2 x)))) 2) 0)
(if (<=.f64 x 360) (/.f64 (.f64 (+.f64 1 x) (+.f64 2 (.f64 x (+.f64 x -2)))) 2) 0)
(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 392 to 300 computations (23.5% saved)

soundness385.0ms (2.9%)

Algorithm

4×	egg-herbie

Rules

908×	`times-frac_binary64`
750×	`times-frac_binary64`
750×	`times-frac_binary64`
671×	`fma-neg_binary64`
595×	`unswap-sqr_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	615	14187
1	1687	13062
2	6320	12974
0	20	45
1	57	45
2	159	37
3	541	37
4	1697	37
0	422	4623
1	1277	4297
2	4938	4245

Stop Event

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

Compiler

Compiled 3369 to 2438 computations (27.6% saved)

end169.0ms (1.3%)

Compiler: Compiled 372 to 266 computations (28.5% saved)

Iter	Nodes	Cost
0	100	603
1	186	587
2	278	565
3	371	565
4	486	565
5	613	565
6	760	565
7	902	565
8	963	565
9	985	565
10	993	565

Iter	Nodes	Cost
0	100	603
1	186	587
2	278	565
3	371	565
4	486	565
5	613	565
6	760	565
7	902	565
8	963	565
9	985	565
10	993	565

Iter	Nodes	Cost
0	100	603
1	186	587
2	278	565
3	371	565
4	486	565
5	613	565
6	760	565
7	902	565
8	963	565
9	985	565
10	993	565