Details

analyze190.0ms (1.7%)

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)

sample3.2s (28.5%)

Results

1.3s	2123×	body	1024	valid
985.0ms	4785×	body	256	valid
435.0ms	1109×	body	512	valid
270.0ms	239×	body	2048	valid
84.0ms	461×	body	256	unsamplable
70.0ms	446×	body	256	infinite
38.0ms	25×	body	1024	infinite
4.0ms	12×	body	512	infinite

Bogosity

preprocess60.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

1380×	`associate-*l/`
1008×	`associate-/l/`
946×	`*-commutative`
766×	`associate-/r/`
656×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	178
1	106	178
2	302	146
3	950	146
4	3341	146
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 (.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 (+.f64 1 eps)) (neg.f64 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 (neg.f64 (-.f64 1 x)) eps))) (.f64 (+.f64 (/.f64 1 x) -1) (exp.f64 (neg.f64 (.f64 eps (+.f64 1 x)))))) 2)
(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 (neg.f64 (-.f64 1 x))) eps)) (.f64 (+.f64 (/.f64 1 x) -1) (pow.f64 (exp.f64 (+.f64 1 x)) (neg.f64 eps)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 (+.f64 x -1)) eps) (/.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 (-.f64 x 1)) eps) (/.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)

simplify41.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1196×	`associate-/l*`
1030×	`associate-l`
1026×	`times-frac`
872×	`associate-/r*`
816×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	89
1	60	89
2	162	73
3	511	73
4	1723	73

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

eval3.0ms (0%)

Compiler: Compiled 164 to 117 computations (28.7% saved)

prune3.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Error

30.2b

Counts

7 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	45.9b	(/.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)
▶	45.9b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1))))) 2)
▶	30.3b	(/.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)
▶	30.3b	(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))))

Compiler

Compiled 116 to 88 computations (24.1% saved)

localize32.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
✓	3.6b	(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))

Compiler

Compiled 104 to 49 computations (52.9% saved)

series15.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	eps	@	-inf	(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
2.0ms	x	@	0	(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
2.0ms	eps	@	0	(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
1.0ms	x	@	inf	(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
1.0ms	eps	@	inf	(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))

rewrite91.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1722×	`associate-*l/`
1232×	`associate-/r*`
396×	`add-sqr-sqrt`
390×	`pow1`
390×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	98
1	396	90
2	5280	90

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

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

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

simplify107.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1442×	`associate-+r+`
968×	`+-commutative`
758×	`associate--r+`
756×	`associate--l+`
548×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	311	7897
1	944	7257
2	3778	7065

Stop Event

1×	node limit

Counts

109 → 157

Calls

Call 1

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

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

localize55.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 1 eps) (neg.f64 x))
✓	0.0b	(.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))
✓	0.0b	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x))))
✓	1.9b	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x)))))

Compiler

Compiled 136 to 92 computations (32.4% saved)

series18.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	0	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x)))))
1.0ms	eps	@	inf	(*.f64 (+.f64 1 eps) (neg.f64 x))
1.0ms	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	x	@	inf	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x)))))
1.0ms	eps	@	inf	(-.f64 (.f64 (+.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)))))

rewrite198.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1438×	`associate-/r*`
586×	`associate-+l+`
454×	`associate-+r+`
450×	`add-sqr-sqrt`
444×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	178
1	443	152
2	6105	152

Stop Event

1×	node limit

Counts

4 → 331

Calls

Call 1

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

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

simplify254.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1140×	`associate-+r+`
1000×	`+-commutative`
904×	`associate-+l+`
876×	`associate-r`
684×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	927	41855
1	2571	37935

Stop Event

1×	node limit

Counts

427 → 587

Calls

Call 1

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

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

localize56.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (+.f64 (neg.f64 eps) -1))))
✓	0.0b	(*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)))
✓	0.8b	(pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))
✓	2.7b	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1)))))

Compiler

Compiled 137 to 93 computations (32.1% saved)

series59.0ms (0.5%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
22.0ms	eps	@	inf	(pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))
9.0ms	eps	@	-inf	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1)))))
8.0ms	eps	@	-inf	(pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))
5.0ms	eps	@	0	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1)))))
5.0ms	eps	@	inf	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1)))))

rewrite143.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

576×	`associate-+l+`
490×	`add-sqr-sqrt`
482×	`associate-+r+`
482×	`*-un-lft-identity`
480×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	182
1	477	148
2	6893	148

Stop Event

1×	node limit

Counts

4 → 221

Calls

Call 1

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

Outputs
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simplify215.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1454×	`fma-def`
980×	`associate-+r+`
944×	`associate-r`
828×	`+-commutative`
732×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	674	30727
1	1881	24059

Stop Event

1×	node limit

Counts

317 → 422

Calls

Call 1

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

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

localize38.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (+.f64 eps -1))
✓	0.0b	(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
✓	0.8b	(pow.f64 (exp.f64 (+.f64 eps -1)) x)
✓	3.6b	(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)

series77.0ms (0.7%)

Counts

4 → 76

Calls

21 calls:

Time	Variable		Point	Expression
30.0ms	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))))
25.0ms	eps	@	inf	(pow.f64 (exp.f64 (+.f64 eps -1)) x)
9.0ms	eps	@	-inf	(pow.f64 (exp.f64 (+.f64 eps -1)) 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))))
2.0ms	x	@	-inf	(pow.f64 (exp.f64 (+.f64 eps -1)) x)

rewrite363.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1308×	`associate-/l*`
886×	`associate-/r/`
542×	`associate-/l/`
392×	`add-sqr-sqrt`
384×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	126
1	386	122
2	5057	122

Stop Event

1×	node limit

Counts

4 → 123

Calls

Call 1

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

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

simplify192.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

942×	`associate--l+`
856×	`associate--r+`
696×	`associate-r`
604×	`fma-def`
592×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	494	10733
1	1497	9937
2	6256	9847

Stop Event

1×	node limit

Counts

199 → 278

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

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

eval1.4s (12.4%)

Compiler: Compiled 69368 to 47013 computations (32.2% saved)

prune508.0ms (4.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	1437	7	1444
Fresh	0	0	0
Picked	1	0	1
Done	3	0	3
Total	1441	7	1448

Error

Counts

1448 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(/.f64 (-.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
▶	45.1b	(/.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 x (+.f64 (neg.f64 eps) -1))))) 2)
▶	45.2b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
	45.1b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (+.f64 (/.f64 1 eps) (.f64 -1 (.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))) 1)) 2)
	1.2b	(/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
▶	15.4b	(/.f64 2 2)
▶	47.7b	(/.f64 0 2)

Compiler

Compiled 286 to 232 computations (18.9% saved)

localize20.0ms (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	@	inf	(*.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	@	0	(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))

rewrite52.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1562×	`add-sqr-sqrt`
1546×	`*-un-lft-identity`
1440×	`add-cube-cbrt`
1422×	`add-cbrt-cube`
176×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	181	15
2	2272	15

Stop Event

1×	node limit

Counts

1 → 26

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

simplify105.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1132×	`associate-+r+`
1018×	`fma-def`
928×	`*-commutative`
734×	`associate-+l+`
650×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	824
1	211	784
2	588	770
3	2579	720
4	6072	720

Stop Event

1×	node limit

Counts

38 → 57

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

localize3.0ms (0%)

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

localize3.0ms (0%)

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

localize39.0ms (0.3%)

Local error

Found 3 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))))

✓

3.9b

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

Compiler

Compiled 90 to 63 computations (30% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite125.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

944×	`associate-/r*`
568×	`associate-/l*`
564×	`associate-/r/`
408×	`associate-+l+`
366×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	336	64
2	4727	62

Stop Event

1×	node limit

Counts

2 → 188

Calls

Call 1

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

Outputs

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

simplify161.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1280×	`associate-+l-`
1264×	`associate-+r-`
686×	`fma-def`
626×	`+-commutative`
512×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	547	17108
1	1565	15894
2	6195	15792

Stop Event

1×	node limit

Counts

236 → 339

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

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

localize57.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 151 to 109 computations (27.8% saved)

series9.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite124.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

684×	`associate-+r+`
508×	`add-sqr-sqrt`
502×	`pow1`
502×	`*-un-lft-identity`
470×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	139
1	489	115
2	7352	115

Stop Event

1×	node limit

Counts

3 → 188

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify123.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1250×	`fma-def`
894×	`associate-r`
780×	`+-commutative`
768×	`associate-l`
714×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	547	16070
1	1741	14654

Stop Event

1×	node limit

Counts

260 → 350

Calls

Call 1

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

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

eval606.0ms (5.4%)

Compiler: Compiled 35788 to 26167 computations (26.9% saved)

prune282.0ms (2.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	959	7	966
Fresh	1	1	2
Picked	1	0	1
Done	2	2	4
Total	963	10	973

Error

Counts

973 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
	39.9b	(/.f64 (-.f64 (/.f64 x (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
▶	15.7b	(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
▶	15.3b	(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
▶	1.2b	(/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
	15.7b	(/.f64 (+.f64 1 (+.f64 (.f64 x eps) (exp.f64 (.f64 x (-.f64 -1 eps))))) 2)
	16.0b	(/.f64 (+.f64 1 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) 2)
▶	61.9b	(/.f64 (neg.f64 (*.f64 (-.f64 1 eps) (+.f64 x (/.f64 x eps)))) 2)
✓	15.4b	(/.f64 2 2)
✓	47.7b	(/.f64 0 2)

Compiler

Compiled 276 to 220 computations (20.3% saved)

localize25.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 68 to 37 computations (45.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite55.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1712×	`add-sqr-sqrt`
1696×	`*-un-lft-identity`
1582×	`add-cube-cbrt`
1564×	`add-cbrt-cube`
164×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	164	15
2	2124	15

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify49.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1590×	`associate-/r*`
1066×	`associate-/l/`
1030×	`associate-r`
944×	`distribute-lft-in`
918×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	994
1	246	966
2	883	848
3	3804	846

Stop Event

1×	node limit

Counts

44 → 55

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

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 48 to 21 computations (56.3% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite76.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1120×	`*-commutative`
1026×	`associate-/r*`
872×	`distribute-lft-in`
840×	`associate-/l*`
818×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	203	38
2	3033	38

Stop Event

1×	node limit

Counts

2 → 141

Calls

Call 1

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

Outputs

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

simplify99.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

802×	`associate-+l+`
798×	`+-commutative`
670×	`associate-/l*`
592×	`associate-+r+`
522×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	382	8159
1	1179	6665
2	5858	6665

Stop Event

1×	node limit

Counts

189 → 198

Calls

Call 1

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

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

localize17.0ms (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 44 to 27 computations (38.6% saved)

localize26.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 78 to 43 computations (44.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite48.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1076×	`add-sqr-sqrt`
1058×	`*-un-lft-identity`
1006×	`pow1`
986×	`add-cube-cbrt`
978×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	122	13
2	1409	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify38.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1470×	`distribute-rgt-in`
1446×	`distribute-lft-in`
1164×	`log-prod`
760×	`associate-r`
704×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	299
1	93	299
2	347	299
3	1912	299

Stop Event

1×	node limit

Counts

23 → 14

Calls

Call 1

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

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

localize39.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 90 to 64 computations (28.9% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite66.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1146×	`associate-*r/`
892×	`*-commutative`
892×	`associate-*l/`
560×	`swap-sqr`
504×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	194	22
2	2587	22

Stop Event

1×	node limit

Counts

2 → 104

Calls

Call 1

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

Outputs

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

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

simplify68.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1026×	`*-commutative`
1010×	`associate-/l/`
1000×	`associate-/r*`
958×	`associate-*r/`
796×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	287	3790
1	721	3634
2	2848	3622

Stop Event

1×	node limit

Counts

152 → 181

Calls

Call 1

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

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

eval214.0ms (1.9%)

Compiler: Compiled 14713 to 8753 computations (40.5% saved)

prune130.0ms (1.1%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	611	8	619
Fresh	0	3	3
Picked	1	0	1
Done	3	3	6
Total	615	14	629

Error

Counts

629 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
	39.9b	(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 x (exp.f64 x)))) 2)
✓	0.2b	(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
	39.9b	(/.f64 (-.f64 (/.f64 x (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
	54.4b	(/.f64 (-.f64 (/.f64 x (exp.f64 x)) (neg.f64 1)) 2)
▶	54.8b	(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 (/.f64 x (exp.f64 x)))) 2)
▶	15.7b	(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))))) 2)
	15.7b	(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 1)) 2)
	10.3b	(/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (.f64 eps x))))) 2)
	15.7b	(/.f64 (+.f64 1 (+.f64 (.f64 x eps) (exp.f64 (.f64 x (-.f64 -1 eps))))) 2)
▶	16.0b	(/.f64 (+.f64 1 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) 2)
▶	62.0b	(/.f64 (neg.f64 (/.f64 x eps)) 2)
✓	15.4b	(/.f64 2 2)
✓	47.7b	(/.f64 0 2)

Compiler

Compiled 365 to 283 computations (22.5% saved)

localize20.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 53 to 32 computations (39.6% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 7 computations (61.1% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite53.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1770×	`add-sqr-sqrt`
1744×	`*-un-lft-identity`
1634×	`add-cube-cbrt`
1616×	`add-cbrt-cube`
188×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	197	13
2	2578	13

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (*.f64 2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 2 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x eps) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x eps) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 2 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (*.f64 2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (*.f64 2 eps))) (sqrt.f64 (/.f64 x (*.f64 2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x eps)) (*.f64 (sqrt.f64 (/.f64 x eps)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (*.f64 2 eps))) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 2 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 2 eps))) 2) (cbrt.f64 (/.f64 x (*.f64 2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x eps)) 2) (*.f64 (cbrt.f64 (/.f64 x eps)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (*.f64 2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 2 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (*.f64 2 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (*.f64 2 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (*.f64 2 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 eps x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (*.f64 2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 x eps) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (exp.f64 (/.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (*.f64 2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (*.f64 2 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (*.f64 2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (*.f64 2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 2 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (*.f64 2 eps))))))))

simplify47.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1416×	`distribute-lft-in`
1372×	`associate-r`
1176×	`associate-l`
1162×	`associate-/r*`
810×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	679
1	143	679
2	615	679
3	4241	679

Stop Event

1×	node limit

Counts

51 → 30

Calls

Call 1

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

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

localize20.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 63 to 39 computations (38.1% saved)

localize17.0ms (0.2%)

Local error

Found 2 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))))

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	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))))

rewrite64.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

930×	`*-commutative`
912×	`associate-*r/`
712×	`associate-*l/`
578×	`distribute-lft-in`
562×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	230	23
2	3021	23

Stop Event

1×	node limit

Counts

1 → 72

Calls

Call 1

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

Outputs

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

simplify76.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1510×	`associate-/l*`
1076×	`distribute-lft-in`
978×	`associate-/r*`
974×	`*-commutative`
954×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	246	5870
1	705	5702
2	2673	5680

Stop Event

1×	node limit

Counts

96 → 153

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

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

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 60 to 27 computations (55% saved)

series2.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite47.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1234×	`add-sqr-sqrt`
1222×	`*-un-lft-identity`
1134×	`add-cube-cbrt`
1118×	`add-cbrt-cube`
1108×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	120	11
2	1523	11

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

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

simplify48.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1402×	`associate-r`
1224×	`associate-l`
840×	`distribute-rgt-in`
840×	`distribute-lft-in`
524×	`distribute-lft-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	95	866
1	235	686
2	809	536
3	4917	536

Stop Event

1×	node limit

Counts

34 → 54

Calls

Call 1

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

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

eval165.0ms (1.5%)

Compiler: Compiled 10418 to 6979 computations (33% saved)

prune85.0ms (0.8%)

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	466	4	470
Fresh	1	5	6
Picked	0	1	1
Done	3	4	7
Total	470	14	484

Error

Counts

484 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
	39.9b	(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 x (exp.f64 x)))) 2)
✓	0.2b	(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
	39.9b	(/.f64 (-.f64 (/.f64 x (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
	54.4b	(/.f64 (-.f64 (/.f64 x (exp.f64 x)) (neg.f64 1)) 2)
✓	54.8b	(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 (/.f64 x (exp.f64 x)))) 2)
	54.8b	(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 (-.f64 x (*.f64 x x)))) 2)
	54.8b	(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 x)) 2)
	10.3b	(/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (.f64 eps x))))) 2)
	15.7b	(/.f64 (+.f64 1 (+.f64 (.f64 x eps) (exp.f64 (.f64 x (-.f64 -1 eps))))) 2)
	15.7b	(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
✓	15.4b	(/.f64 2 2)
✓	47.7b	(/.f64 0 2)
	62.0b	(*.f64 (/.f64 x eps) -1/2)

Compiler

Compiled 190 to 146 computations (23.2% saved)

regimes48.0ms (0.4%)

Counts

31 → 1

Calls

Call 1

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

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

Calls

4 calls:

15.0ms	eps
14.0ms	x
4.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))
3.0ms	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))) 2)

Results

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

Compiler

Compiled 579 to 403 computations (30.4% saved)

regimes32.0ms (0.3%)

Counts

23 → 1

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	eps
11.0ms	x

Results

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

Compiler

Compiled 329 to 224 computations (31.9% saved)

regimes39.0ms (0.3%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

2 calls:

21.0ms	x
11.0ms	eps

Results

Error	Segments	Branch
0.9b	2	`x`
10.3b	1	`eps`

Compiler

Compiled 313 to 214 computations (31.6% saved)

bsearch69.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
69.0ms	7.255341571956403e-9	5.201007321662836

Results

35.0ms	68×	body	1024	valid
12.0ms	39×	body	512	valid
9.0ms	58×	body	256	infinite
6.0ms	8×	body	2048	valid
5.0ms	29×	body	256	valid

Compiler

Compiled 378 to 290 computations (23.3% saved)

regimes33.0ms (0.3%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

2 calls:

17.0ms	x
9.0ms	eps

Results

Error	Segments	Branch
1.0b	2	`x`
15.3b	1	`eps`

Compiler

Compiled 268 to 189 computations (29.5% saved)

bsearch55.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
55.0ms	25.293898534601738	411.9370955908871

Results

34.0ms	67×	body	1024	valid
6.0ms	19×	body	512	valid
5.0ms	7×	body	2048	valid
5.0ms	32×	body	256	infinite
3.0ms	19×	body	256	valid

Compiler

Compiled 183 to 162 computations (11.5% saved)

regimes24.0ms (0.2%)

Accuracy

Total -61.6b remaining (-5643.1%)

Threshold costs -61.6b (-5643.1%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	x
8.0ms	eps

Results

Error	Segments	Branch
1.1b	2	`x`
15.4b	1	`eps`

Compiler

Compiled 122 to 84 computations (31.1% saved)

bsearch57.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
57.0ms	25.293898534601738	411.9370955908871

Results

31.0ms	60×	body	1024	valid
10.0ms	32×	body	512	valid
7.0ms	47×	body	256	infinite
4.0ms	6×	body	2048	valid
2.0ms	14×	body	256	valid

Compiler

Compiled 120 to 113 computations (5.8% saved)

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

124×	`*-commutative`
78×	`distribute-lft-neg-in`
74×	`+-commutative`
56×	`neg-sub0`
38×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	264
1	73	248
2	118	248
3	180	248
4	225	248
5	260	248
6	303	248
7	337	248
8	350	248
9	352	248

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.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 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
(if (<=.f64 x 2589569785738035/2251799813685248) (/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 x (exp.f64 x)))) 2))
(if (<=.f64 x 360) (/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2) (/.f64 0 2))
(if (<=.f64 x 360) (/.f64 2 2) (/.f64 0 2))
(/.f64 0 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 (+.f64 x 1) (exp.f64 x)) (*.f64 (neg.f64 (+.f64 x 1)) (exp.f64 (neg.f64 x)))) 2)
(/.f64 (+.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (/.f64 (neg.f64 (+.f64 x 1)) (exp.f64 x))) 2)
(/.f64 (+.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
(if (<=.f64 x 2589569785738035/2251799813685248) (/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 x (exp.f64 x)))) 2))
(if (<=.f64 x 2589569785738035/2251799813685248) (/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (*.f64 (neg.f64 (+.f64 x 1)) (exp.f64 (neg.f64 x)))) 2) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x))) 2))
(if (<=.f64 x 2589569785738035/2251799813685248) (/.f64 (+.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (+.f64 1 (.f64 -1/2 (*.f64 x x)))) 2) (/.f64 (+.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (/.f64 x (exp.f64 x))) 2))
(if (<=.f64 x 360) (/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2) (/.f64 0 2))
(if (<=.f64 x 360) (/.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) 1) 2) 0)
(if (<=.f64 x 360) (/.f64 (+.f64 1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 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 100 to 77 computations (23% saved)

soundness182.0ms (1.6%)

Algorithm

2×	egg-herbie

Rules

1454×	`fma-def`
1196×	`associate-/l*`
1030×	`associate-l`
1026×	`times-frac`
980×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	89
1	60	89
2	162	73
3	511	73
4	1723	73
0	674	30727
1	1881	24059

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 508 to 387 computations (23.8% saved)

end47.0ms (0.4%)

Compiler: Compiled 90 to 61 computations (32.2% saved)

Iter	Nodes	Cost
0	45	264
1	73	248
2	118	248
3	180	248
4	225	248
5	260	248
6	303	248
7	337	248
8	350	248
9	352	248

Iter	Nodes	Cost
0	45	264
1	73	248
2	118	248
3	180	248
4	225	248
5	260	248
6	303	248
7	337	248
8	350	248
9	352	248

Iter	Nodes	Cost
0	45	264
1	73	248
2	118	248
3	180	248
4	225	248
5	260	248
6	303	248
7	337	248
8	350	248
9	352	248