Details

analyze149.0ms (0.7%)

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)

sample4.1s (20.2%)

Results

1.9s	2064×	body	1024	valid
1.3s	4982×	body	256	valid
502.0ms	985×	body	512	valid
246.0ms	225×	body	2048	valid
125.0ms	485×	body	256	infinite
86.0ms	409×	body	256	unsamplable
15.0ms	25×	body	1024	infinite
7.0ms	10×	body	512	infinite

Bogosity

preprocess47.0ms (0.2%)

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)

simplify47.0ms (0.2%)

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)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	4	2	6
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	5	2	7

Error

29.6b

Counts

7 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.6b	(/.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)
▶	29.6b	(*.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)))))

Status

Error

Program

▶

29.6b

(/.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)

▶

29.6b

(*.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 58 to 43 computations (25.9% saved)

localize48.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series10.0ms (0%)

Counts

4 → 68

Calls

24 calls:

Time	Variable		Point	Expression
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))))
1.0ms	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))))
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))))

rewrite92.0ms (0.4%)

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	132
1	396	116
2	5280	116

Stop Event

1×	node limit

Counts

4 → 101

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))))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(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 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simplify121.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1206×	`associate-*r/`
1154×	`+-commutative`
792×	`associate--l+`
754×	`associate--r+`
746×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	390	9187
1	1168	8539
2	5222	8315

Stop Event

1×	node limit

Counts

169 → 228

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

localize51.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series16.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	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)))))
3.0ms	eps	@	0	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x)))))
3.0ms	x	@	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)))))

rewrite217.0ms (1.1%)

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	142
1	443	118
2	6105	118

Stop Event

1×	node limit

Counts

4 → 290

Calls

Call 1

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

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

simplify243.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1306×	`fma-def`
972×	`associate-r`
840×	`+-commutative`
770×	`associate-+r+`
748×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	792	35706
1	2160	29944

Stop Event

1×	node limit

Counts

386 → 478

Calls

Call 1

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

eval1.3s (6.1%)

Compiler: Compiled 34366 to 23914 computations (30.4% saved)

prune339.0ms (1.7%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	692	14	706
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	694	14	708

Error

0.0b

Counts

708 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	61.5b	(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 3) (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))) (pow.f64 (.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x) (+.f64 1 (/.f64 -1 eps))) 3)) (fma.f64 (.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x) (+.f64 1 (/.f64 -1 eps))) (-.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x) (+.f64 1 (/.f64 -1 eps))) (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps))))) (pow.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))) 2))) 2)
▶	0.7b	(/.f64 (-.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
	45.7b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)) 1)) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
	29.8b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (-.f64 0 (exp.f64 (log1p.f64 (.f64 (-.f64 1 eps) x)))) 1))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
▶	45.7b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
	45.7b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
	0.7b	(/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
	16.1b	(/.f64 2 2)
	54.6b	(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x eps x))) (sqrt.f64 (fma.f64 x eps x))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))))
▶	45.3b	(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))))
▶	45.7b	(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) 1 (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))))
	47.6b	(*.f64 1/2 (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))
	29.6b	(.f64 1/2 (+.f64 (.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 1 (/.f64 1 eps))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x eps x)))))
▶	46.7b	(*.f64 1/2 0)

Compiler

Compiled 792 to 602 computations (24% saved)

localize45.0ms (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
1.0ms	x	@	inf	(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
0.0ms	x	@	0	(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
0.0ms	x	@	-inf	(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))

rewrite96.0ms (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)))))))))

simplify89.0ms (0.4%)

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)

localize59.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 145 to 104 computations (28.3% saved)

series8.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite119.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

732×	`associate-+r+`
514×	`+-commutative`
504×	`add-sqr-sqrt`
498×	`pow1`
498×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	118
1	489	102
2	7270	102

Stop Event

1×	node limit

Counts

2 → 124

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

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

Outputs

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

simplify162.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1414×	`associate--r+`
1258×	`associate--l+`
754×	`fma-def`
666×	`associate-+l-`
660×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	415	15196
1	1321	13602
2	5484	13586

Stop Event

1×	node limit

Counts

172 → 287

Calls

Call 1

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

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

localize27.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
	0.0b	(exp.f64 (fma.f64 eps x x))
✓	5.3b	(fma.f64 (+.f64 1 (/.f64 1 eps)) 1 (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))

Compiler

Compiled 81 to 48 computations (40.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1706×	`associate-*l/`
1200×	`associate-/r*`
784×	`associate-/l*`
340×	`add-sqr-sqrt`
334×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	51
1	338	47
2	4507	47

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.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 1 (+.f64 (*.f64 (neg.f64 (pow.f64 eps -1/2)) (pow.f64 eps -1/2)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 eps -2))) (/.f64 1 (cbrt.f64 eps))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 eps) (+.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 (-.f64 (log1p.f64 (/.f64 1 eps)) (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))) (+.f64 1 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (/.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (*.f64 (neg.f64 (pow.f64 eps -1/2)) (pow.f64 eps -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 eps -2))) (/.f64 1 (cbrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (/.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.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 (exp.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (/.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 1 eps)))) (-.f64 1 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x 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simplify101.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1630×	`fma-def`
1524×	`associate--l-`
936×	`associate-+l+`
716×	`*-commutative`
630×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	204	4430
1	588	4226
2	2236	3854
3	7502	3854

Stop Event

1×	node limit

Counts

64 → 95

Calls

Call 1

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

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

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(exp.f64 (fma.f64 eps x x))
✓	0.0b	(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))
✓	0.1b	(pow.f64 (exp.f64 (fma.f64 eps x x)) 3)
✓	5.2b	(fma.f64 (+.f64 1 (/.f64 1 eps)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))

Compiler

Compiled 111 to 58 computations (47.7% saved)

series8.0ms (0%)

Counts

3 → 56

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(fma.f64 (+.f64 1 (/.f64 1 eps)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
1.0ms	x	@	0	(pow.f64 (exp.f64 (fma.f64 eps x x)) 3)
1.0ms	eps	@	0	(pow.f64 (exp.f64 (fma.f64 eps x x)) 3)
1.0ms	x	@	0	(fma.f64 (+.f64 1 (/.f64 1 eps)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
1.0ms	x	@	-inf	(pow.f64 (exp.f64 (fma.f64 eps x x)) 3)

rewrite101.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1688×	`associate-*l/`
1260×	`associate-/r*`
382×	`add-sqr-sqrt`
368×	`*-un-lft-identity`
366×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	95
1	405	93
2	5007	93

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

Inputs

(fma.f64 (+.f64 1 (/.f64 1 eps)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))

(pow.f64 (exp.f64 (fma.f64 eps x x)) 3)

(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))

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 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simplify233.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

900×	`associate-/r*`
780×	`associate-r`
688×	`associate--l+`
604×	`associate-l`
560×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	354	7301
1	1029	6869
2	4589	6419

Stop Event

1×	node limit

Counts

131 → 181

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) eps)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) eps)
(-.f64 (+.f64 (/.f64 (exp.f64 x) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (exp.f64 x) (.f64 (exp.f64 x) x)))) (+.f64 (/.f64 1 (.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(+.f64 (/.f64 (exp.f64 x) eps) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) x (exp.f64 x))) (+.f64 (/.f64 1 (*.f64 (exp.f64 x) eps)) (neg.f64 (/.f64 x (exp.f64 x))))))
(+.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (+.f64 x 1) (exp.f64 x))) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) eps)) (/.f64 x (exp.f64 x)))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (+.f64 x 1) (exp.f64 x))) (+.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) eps) (/.f64 x (exp.f64 x))))
(-.f64 (+.f64 (/.f64 (exp.f64 x) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (.f64 eps (-.f64 (+.f64 (.f64 (exp.f64 x) x) (.f64 1/2 (.f64 (exp.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 (exp.f64 x) x) (exp.f64 x))))) (+.f64 (/.f64 1 (.f64 eps (exp.f64 x))) (.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (+.f64 (/.f64 (exp.f64 x) eps) (exp.f64 (neg.f64 x))) (fma.f64 eps (-.f64 (fma.f64 (exp.f64 x) x (.f64 1/2 (.f64 (exp.f64 x) (.f64 x x)))) (fma.f64 -1/2 (/.f64 (.f64 x x) (exp.f64 x)) (.f64 x (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (/.f64 x (exp.f64 x))))))) (fma.f64 (exp.f64 x) x (exp.f64 x)))) (+.f64 (/.f64 1 (.f64 (exp.f64 x) eps)) (neg.f64 (/.f64 x (exp.f64 x)))))
(+.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (-.f64 (fma.f64 x (exp.f64 x) (.f64 (exp.f64 x) (.f64 (.f64 x x) 1/2))) (fma.f64 -1/2 (/.f64 x (/.f64 (exp.f64 x) x)) (.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x)))))) (*.f64 (+.f64 x 1) (exp.f64 x)))) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) eps)) (/.f64 x (exp.f64 x)))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (-.f64 (.f64 (exp.f64 x) (+.f64 x (.f64 (.f64 x x) 1/2))) (fma.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x))) (.f64 -1/2 (.f64 x (/.f64 x (exp.f64 x)))))) (.f64 (+.f64 x 1) (exp.f64 x)))) (+.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) eps) (/.f64 x (exp.f64 x))))
(-.f64 (+.f64 (/.f64 (exp.f64 x) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (.f64 eps (-.f64 (+.f64 (.f64 (exp.f64 x) x) (.f64 1/2 (.f64 (exp.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 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) (pow.f64 x 2))) (.f64 1/6 (.f64 (exp.f64 x) (pow.f64 x 3)))) (+.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 x) x) (exp.f64 x)))))) (+.f64 (/.f64 1 (.f64 eps (exp.f64 x))) (.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (+.f64 (/.f64 (exp.f64 x) eps) (exp.f64 (neg.f64 x))) (fma.f64 eps (-.f64 (fma.f64 (exp.f64 x) x (.f64 1/2 (.f64 (exp.f64 x) (.f64 x x)))) (fma.f64 -1/2 (/.f64 (.f64 x x) (exp.f64 x)) (.f64 x (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (/.f64 x (exp.f64 x))))))) (fma.f64 (.f64 eps eps) (-.f64 (fma.f64 1/2 (.f64 (exp.f64 x) (.f64 x x)) (.f64 (.f64 1/6 (exp.f64 x)) (pow.f64 x 3))) (fma.f64 1/2 (.f64 (.f64 x x) (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (/.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)) (neg.f64 (/.f64 x (exp.f64 x))))))) (.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))))) (fma.f64 (exp.f64 x) x (exp.f64 x))))) (+.f64 (/.f64 1 (*.f64 (exp.f64 x) eps)) (neg.f64 (/.f64 x (exp.f64 x)))))
(+.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (-.f64 (fma.f64 x (exp.f64 x) (.f64 (exp.f64 x) (.f64 (.f64 x x) 1/2))) (fma.f64 -1/2 (/.f64 x (/.f64 (exp.f64 x) x)) (.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x)))))) (fma.f64 (.f64 eps eps) (-.f64 (fma.f64 1/2 (.f64 x (.f64 x (exp.f64 x))) (.f64 1/6 (.f64 (exp.f64 x) (pow.f64 x 3)))) (fma.f64 1/2 (.f64 x (.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x))))) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x))) (.f64 x (fma.f64 -1/2 (/.f64 x (/.f64 (exp.f64 x) x)) (.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x))))))))) (*.f64 (+.f64 x 1) (exp.f64 x))))) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) eps)) (/.f64 x (exp.f64 x)))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (-.f64 (.f64 (exp.f64 x) (+.f64 x (.f64 (.f64 x x) 1/2))) (fma.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x))) (.f64 -1/2 (.f64 x (/.f64 x (exp.f64 x)))))) (fma.f64 (.f64 eps eps) (+.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 x 3) 1/6)) (-.f64 (.f64 (.f64 1/2 (.f64 x x)) (-.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x))))) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x))) (.f64 x (fma.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x))) (.f64 -1/2 (.f64 x (/.f64 x (exp.f64 x))))))))) (.f64 (+.f64 x 1) (exp.f64 x))))) (+.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) eps) (/.f64 x (exp.f64 x))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (fma.f64 eps x x)))
(+.f64 (exp.f64 (fma.f64 eps x x)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 (exp.f64 (fma.f64 x eps x)) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (fma.f64 eps x x)) (/.f64 (exp.f64 (fma.f64 eps x x)) eps))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (/.f64 (exp.f64 (fma.f64 eps x x)) eps)) (/.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 (exp.f64 (fma.f64 x eps x)) (-.f64 (/.f64 (exp.f64 (fma.f64 x eps x)) eps) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))))
(-.f64 (fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (fma.f64 eps x x)) (/.f64 (exp.f64 (fma.f64 eps x x)) eps))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (/.f64 (exp.f64 (fma.f64 eps x x)) eps)) (/.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 (exp.f64 (fma.f64 x eps x)) (-.f64 (/.f64 (exp.f64 (fma.f64 x eps x)) eps) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))))
(-.f64 (fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (fma.f64 eps x x)) (/.f64 (exp.f64 (fma.f64 eps x x)) eps))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (/.f64 (exp.f64 (fma.f64 eps x x)) eps)) (/.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 (exp.f64 (fma.f64 x eps x)) (-.f64 (/.f64 (exp.f64 (fma.f64 x eps x)) eps) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))))
(-.f64 (fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (fma.f64 eps x x)))
(+.f64 (exp.f64 (fma.f64 eps x x)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 (exp.f64 (fma.f64 x eps x)) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (.f64 -1 (exp.f64 (fma.f64 eps x x)))) eps)) (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (fma.f64 eps x x))))
(fma.f64 -1 (/.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (neg.f64 (exp.f64 (fma.f64 eps x x)))) eps) (+.f64 (exp.f64 (fma.f64 eps x x)) (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (exp.f64 (fma.f64 x eps x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (fma.f64 x eps x))) eps))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (.f64 -1 (exp.f64 (fma.f64 eps x x)))) eps)) (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (fma.f64 eps x x))))
(fma.f64 -1 (/.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (neg.f64 (exp.f64 (fma.f64 eps x x)))) eps) (+.f64 (exp.f64 (fma.f64 eps x x)) (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (exp.f64 (fma.f64 x eps x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (fma.f64 x eps x))) eps))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (.f64 -1 (exp.f64 (fma.f64 eps x x)))) eps)) (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (fma.f64 eps x x))))
(fma.f64 -1 (/.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (neg.f64 (exp.f64 (fma.f64 eps x x)))) eps) (+.f64 (exp.f64 (fma.f64 eps x x)) (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (exp.f64 (fma.f64 x eps x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (fma.f64 x eps x))) eps))
2
(+.f64 2 (.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (+.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x))
(+.f64 2 (.f64 x (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 eps)) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps))))))
(fma.f64 x (*.f64 (+.f64 1 eps) (-.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))) 2)
(fma.f64 x (*.f64 (+.f64 1 eps) (+.f64 1 (-.f64 (/.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))) 2)
(+.f64 (.f64 (-.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 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 2 (.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (+.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x)))
(fma.f64 (-.f64 (.f64 (.f64 1/2 (+.f64 1 (/.f64 1 eps))) (pow.f64 (+.f64 1 eps) 2)) (fma.f64 1/2 (.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2)) (neg.f64 (.f64 (+.f64 1 eps) (.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps))))))) (.f64 x x) (+.f64 2 (.f64 x (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 eps)) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))))))
(fma.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 (+.f64 1 eps) 2) (-.f64 (+.f64 1/2 (.f64 1/2 (/.f64 1 eps))) (+.f64 1/2 (.f64 1/2 (/.f64 -1 eps))))) (neg.f64 (.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2)))) (fma.f64 x (.f64 (+.f64 1 eps) (-.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))) 2))
(fma.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 (+.f64 1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps))) (.f64 (.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2)) -1/2)) (fma.f64 x (*.f64 (+.f64 1 eps) (+.f64 1 (-.f64 (/.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))) 2))
(+.f64 (.f64 (-.f64 (.f64 1/6 (.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 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 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 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 2 (.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (+.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x))))
(fma.f64 (-.f64 (.f64 1/6 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 3))) (fma.f64 1/6 (.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 3)) (fma.f64 -1 (.f64 (+.f64 1 eps) (fma.f64 1/2 (.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2)) (neg.f64 (.f64 (+.f64 1 eps) (.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps))))))) (.f64 -1/2 (.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 3)))))) (pow.f64 x 3) (fma.f64 (-.f64 (.f64 (.f64 1/2 (+.f64 1 (/.f64 1 eps))) (pow.f64 (+.f64 1 eps) 2)) (fma.f64 1/2 (.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2)) (neg.f64 (.f64 (+.f64 1 eps) (.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps))))))) (.f64 x x) (+.f64 2 (.f64 x (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 eps)) (.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps))))))))
(fma.f64 (pow.f64 x 3) (-.f64 (.f64 (pow.f64 (+.f64 1 eps) 3) (-.f64 (+.f64 1/6 (.f64 1/6 (/.f64 1 eps))) (+.f64 1/6 (.f64 1/6 (/.f64 -1 eps))))) (fma.f64 (neg.f64 (-.f64 (.f64 1/2 (.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2))) (.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2)))) (+.f64 1 eps) (.f64 (pow.f64 (+.f64 1 eps) 3) (+.f64 -1/2 (.f64 -1/2 (/.f64 -1 eps)))))) (fma.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 (+.f64 1 eps) 2) (-.f64 (+.f64 1/2 (.f64 1/2 (/.f64 1 eps))) (+.f64 1/2 (.f64 1/2 (/.f64 -1 eps))))) (neg.f64 (.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2)))) (fma.f64 x (.f64 (+.f64 1 eps) (-.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))) 2)))
(fma.f64 (pow.f64 x 3) (+.f64 (.f64 (pow.f64 (+.f64 1 eps) 3) (-.f64 (+.f64 1/6 (-.f64 (/.f64 1/6 eps) (+.f64 1/6 (/.f64 -1/6 eps)))) (+.f64 -1/2 (/.f64 1/2 eps)))) (.f64 (+.f64 1 eps) (.f64 (.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2)) -1/2))) (fma.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 (+.f64 1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps))) (.f64 (.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2)) -1/2)) (fma.f64 x (*.f64 (+.f64 1 eps) (+.f64 1 (-.f64 (/.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))) 2)))
(-.f64 (+.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (fma.f64 eps x x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (/.f64 (exp.f64 (fma.f64 eps x x)) eps)) (/.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 (exp.f64 (fma.f64 x eps x)) (-.f64 (/.f64 (exp.f64 (fma.f64 x eps x)) eps) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))))
(-.f64 (fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))
(-.f64 (+.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (fma.f64 eps x x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (/.f64 (exp.f64 (fma.f64 eps x x)) eps)) (/.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 (exp.f64 (fma.f64 x eps x)) (-.f64 (/.f64 (exp.f64 (fma.f64 x eps x)) eps) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))))
(-.f64 (fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))
(-.f64 (+.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (fma.f64 eps x x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (/.f64 (exp.f64 (fma.f64 eps x x)) eps)) (/.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 (exp.f64 (fma.f64 x eps x)) (-.f64 (/.f64 (exp.f64 (fma.f64 x eps x)) eps) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))))
(-.f64 (fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))
(-.f64 (+.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (fma.f64 eps x x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (/.f64 (exp.f64 (fma.f64 eps x x)) eps)) (/.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 (exp.f64 (fma.f64 x eps x)) (-.f64 (/.f64 (exp.f64 (fma.f64 x eps x)) eps) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))))
(-.f64 (fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))
(-.f64 (+.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (fma.f64 eps x x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (/.f64 (exp.f64 (fma.f64 eps x x)) eps)) (/.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 (exp.f64 (fma.f64 x eps x)) (-.f64 (/.f64 (exp.f64 (fma.f64 x eps x)) eps) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))))
(-.f64 (fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))
(-.f64 (+.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (fma.f64 eps x x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (/.f64 (exp.f64 (fma.f64 eps x x)) eps)) (/.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 (exp.f64 (fma.f64 x eps x)) (-.f64 (/.f64 (exp.f64 (fma.f64 x eps x)) eps) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))))
(-.f64 (fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))
(-.f64 (+.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (fma.f64 eps x x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (/.f64 (exp.f64 (fma.f64 eps x x)) eps)) (/.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 (exp.f64 (fma.f64 x eps x)) (-.f64 (/.f64 (exp.f64 (fma.f64 x eps x)) eps) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))))
(-.f64 (fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))
(-.f64 (+.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (fma.f64 eps x x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (/.f64 (exp.f64 (fma.f64 eps x x)) eps)) (/.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 (exp.f64 (fma.f64 x eps x)) (-.f64 (/.f64 (exp.f64 (fma.f64 x eps x)) eps) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))))
(-.f64 (fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))
(pow.f64 (exp.f64 x) 3)
(+.f64 (.f64 eps (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 x) 3) x)) (.f64 (pow.f64 (exp.f64 x) 3) x))) (pow.f64 (exp.f64 x) 3))
(fma.f64 eps (.f64 3 (.f64 x (pow.f64 (exp.f64 x) 3))) (pow.f64 (exp.f64 x) 3))
(+.f64 (.f64 eps (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 x) 3) x)) (.f64 (pow.f64 (exp.f64 x) 3) x))) (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x 2))) (.f64 4 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x 2)))) (pow.f64 eps 2)) (pow.f64 (exp.f64 x) 3)))
(fma.f64 eps (.f64 3 (.f64 x (pow.f64 (exp.f64 x) 3))) (fma.f64 (.f64 (.f64 (.f64 x x) (pow.f64 (exp.f64 x) 3)) 9/2) (.f64 eps eps) (pow.f64 (exp.f64 x) 3)))
(fma.f64 eps (.f64 3 (.f64 x (pow.f64 (exp.f64 x) 3))) (fma.f64 (.f64 eps eps) (.f64 (.f64 x x) (.f64 (pow.f64 (exp.f64 x) 3) 9/2)) (pow.f64 (exp.f64 x) 3)))
(+.f64 (.f64 eps (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 x) 3) x)) (.f64 (pow.f64 (exp.f64 x) 3) x))) (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x 2))) (.f64 4 (.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x 2)))) (pow.f64 eps 2)) (+.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x 3))) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 x 3))) (.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 x 3))) (exp.f64 x)) (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x 3))) (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x 3))))) (pow.f64 eps 3)) (pow.f64 (exp.f64 x) 3))))
(fma.f64 eps (.f64 3 (.f64 x (pow.f64 (exp.f64 x) 3))) (fma.f64 (.f64 (.f64 (.f64 x x) (pow.f64 (exp.f64 x) 3)) 9/2) (.f64 eps eps) (fma.f64 (fma.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 (exp.f64 x) 3)) (fma.f64 (.f64 4/3 (.f64 (pow.f64 x 3) (pow.f64 (exp.f64 x) 2))) (exp.f64 x) (.f64 3 (*.f64 (pow.f64 x 3) (pow.f64 (exp.f64 x) 3))))) (pow.f64 eps 3) (pow.f64 (exp.f64 x) 3))))
(fma.f64 eps (.f64 3 (.f64 x (pow.f64 (exp.f64 x) 3))) (fma.f64 (.f64 eps eps) (.f64 (.f64 x x) (.f64 (pow.f64 (exp.f64 x) 3) 9/2)) (fma.f64 (fma.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 (exp.f64 x) 3)) (fma.f64 3 (.f64 (pow.f64 x 3) (pow.f64 (exp.f64 x) 3)) (.f64 4/3 (.f64 (pow.f64 x 3) (pow.f64 (exp.f64 x) 3))))) (pow.f64 eps 3) (pow.f64 (exp.f64 x) 3))))
(fma.f64 eps (.f64 3 (.f64 x (pow.f64 (exp.f64 x) 3))) (fma.f64 (.f64 eps eps) (.f64 (.f64 x x) (.f64 (pow.f64 (exp.f64 x) 3) 9/2)) (fma.f64 (fma.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 (exp.f64 x) 3)) (.f64 (*.f64 (pow.f64 x 3) (pow.f64 (exp.f64 x) 3)) 13/3)) (pow.f64 eps 3) (pow.f64 (exp.f64 x) 3))))
1
(+.f64 1 (.f64 (+.f64 (.f64 2 eps) (+.f64 eps 3)) x))
(+.f64 1 (*.f64 x (fma.f64 2 eps (+.f64 eps 3))))
(fma.f64 x (+.f64 3 (*.f64 3 eps)) 1)
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 2 eps) (+.f64 eps 3)) x) (.f64 (+.f64 (pow.f64 (+.f64 1 eps) 2) (+.f64 (.f64 1/2 (pow.f64 (+.f64 eps 1) 2)) (+.f64 (.f64 (+.f64 (.f64 2 eps) 2) (+.f64 1 eps)) (pow.f64 (+.f64 eps 1) 2)))) (pow.f64 x 2))))
(+.f64 1 (fma.f64 (fma.f64 2 eps (+.f64 eps 3)) x (.f64 (.f64 x x) (+.f64 (pow.f64 (+.f64 1 eps) 2) (fma.f64 1/2 (pow.f64 (+.f64 1 eps) 2) (fma.f64 (fma.f64 2 eps 2) (+.f64 1 eps) (pow.f64 (+.f64 1 eps) 2)))))))
(+.f64 1 (fma.f64 x (+.f64 3 (.f64 3 eps)) (.f64 (.f64 x x) (+.f64 (.f64 (+.f64 1 eps) (+.f64 (+.f64 1 eps) (fma.f64 eps 2 2))) (*.f64 3/2 (pow.f64 (+.f64 1 eps) 2))))))
(+.f64 1 (.f64 x (+.f64 (+.f64 3 (.f64 3 eps)) (.f64 (+.f64 (pow.f64 (+.f64 1 eps) 2) (.f64 (pow.f64 (+.f64 1 eps) 2) 7/2)) x))))
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 2 eps) (+.f64 eps 3)) x) (+.f64 (.f64 (+.f64 (pow.f64 (+.f64 1 eps) 2) (+.f64 (.f64 1/2 (pow.f64 (+.f64 eps 1) 2)) (+.f64 (.f64 (+.f64 (.f64 2 eps) 2) (+.f64 1 eps)) (pow.f64 (+.f64 eps 1) 2)))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 1/6 (pow.f64 (+.f64 eps 1) 3)) (+.f64 (.f64 1/2 (.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 (.f64 2 eps) 2))) (+.f64 (.f64 (+.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 (+.f64 eps 1) 2)) (+.f64 1 eps)) (+.f64 (.f64 (+.f64 eps 1) (pow.f64 (+.f64 1 eps) 2)) (.f64 1/3 (pow.f64 (+.f64 1 eps) 3)))))) (pow.f64 x 3)))))
(+.f64 1 (fma.f64 (fma.f64 2 eps (+.f64 eps 3)) x (fma.f64 (+.f64 (pow.f64 (+.f64 1 eps) 2) (fma.f64 1/2 (pow.f64 (+.f64 1 eps) 2) (fma.f64 (fma.f64 2 eps 2) (+.f64 1 eps) (pow.f64 (+.f64 1 eps) 2)))) (.f64 x x) (.f64 (pow.f64 x 3) (fma.f64 1/6 (pow.f64 (+.f64 1 eps) 3) (fma.f64 1/2 (.f64 (pow.f64 (+.f64 1 eps) 2) (fma.f64 2 eps 2)) (fma.f64 (+.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 (+.f64 1 eps) 2)) (+.f64 1 eps) (+.f64 (pow.f64 (+.f64 1 eps) 3) (.f64 (pow.f64 (+.f64 1 eps) 3) 1/3)))))))))
(+.f64 1 (fma.f64 x (+.f64 3 (.f64 3 eps)) (fma.f64 (.f64 x x) (+.f64 (.f64 (+.f64 1 eps) (+.f64 (+.f64 1 eps) (fma.f64 eps 2 2))) (.f64 3/2 (pow.f64 (+.f64 1 eps) 2))) (.f64 (pow.f64 x 3) (fma.f64 1/6 (pow.f64 (+.f64 1 eps) 3) (+.f64 (.f64 4/3 (pow.f64 (+.f64 1 eps) 3)) (fma.f64 1/2 (.f64 (pow.f64 (+.f64 1 eps) 2) (fma.f64 eps 2 2)) (.f64 (pow.f64 (+.f64 1 eps) 2) (fma.f64 eps 2 2)))))))))
(+.f64 (fma.f64 x (+.f64 3 (.f64 3 eps)) 1) (.f64 (.f64 x x) (+.f64 (+.f64 (pow.f64 (+.f64 1 eps) 2) (.f64 (pow.f64 (+.f64 1 eps) 2) 7/2)) (.f64 x (+.f64 (.f64 (fma.f64 eps 2 2) (.f64 3/2 (pow.f64 (+.f64 1 eps) 2))) (.f64 (pow.f64 (+.f64 1 eps) 3) 3/2))))))
(exp.f64 x)
(+.f64 (.f64 eps (.f64 (exp.f64 x) x)) (exp.f64 x))
(fma.f64 eps (*.f64 x (exp.f64 x)) (exp.f64 x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 x) (pow.f64 x 2)))) (+.f64 (.f64 eps (*.f64 (exp.f64 x) x)) (exp.f64 x)))
(fma.f64 1/2 (.f64 (.f64 (exp.f64 x) (.f64 x x)) (.f64 eps eps)) (fma.f64 eps (*.f64 x (exp.f64 x)) (exp.f64 x)))
(fma.f64 1/2 (.f64 (exp.f64 x) (.f64 (.f64 x x) (.f64 eps eps))) (fma.f64 eps (*.f64 x (exp.f64 x)) (exp.f64 x)))
(+.f64 (exp.f64 x) (.f64 (exp.f64 x) (+.f64 (.f64 x eps) (.f64 (.f64 1/2 (.f64 eps eps)) (.f64 x x)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (exp.f64 x) (pow.f64 x 3)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 x) (pow.f64 x 2)))) (+.f64 (.f64 eps (.f64 (exp.f64 x) x)) (exp.f64 x))))
(fma.f64 1/6 (.f64 (.f64 (exp.f64 x) (pow.f64 x 3)) (pow.f64 eps 3)) (fma.f64 1/2 (.f64 (.f64 (exp.f64 x) (.f64 x x)) (.f64 eps eps)) (fma.f64 eps (*.f64 x (exp.f64 x)) (exp.f64 x))))
(fma.f64 1/6 (.f64 (exp.f64 x) (.f64 (pow.f64 x 3) (pow.f64 eps 3))) (fma.f64 1/2 (.f64 (exp.f64 x) (.f64 (.f64 x x) (.f64 eps eps))) (fma.f64 eps (*.f64 x (exp.f64 x)) (exp.f64 x))))
(+.f64 (fma.f64 eps (.f64 x (exp.f64 x)) (exp.f64 x)) (.f64 (exp.f64 x) (+.f64 (.f64 (.f64 1/2 (.f64 eps eps)) (.f64 x x)) (.f64 (.f64 1/6 (pow.f64 eps 3)) (pow.f64 x 3)))))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
1
(+.f64 1 (*.f64 (+.f64 eps 1) x))
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(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))))
(fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps 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)
(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))))
(fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps 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)
(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))))
(fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps 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))
(fabs.f64 (fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps 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))))))
(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))))
(fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps 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)))))))
(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))))
(fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps 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))
(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))))
(fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps 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))))))
(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))))
(fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps 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))))))
(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))))
(fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps 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))
(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))))
(fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps 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))))))
(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))))
(fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))) 1)
(exp.f64 (*.f64 3 (fma.f64 eps x x)))
(exp.f64 (*.f64 3 (fma.f64 x eps x)))
(pow.f64 (exp.f64 3) (fma.f64 x eps x))
(*.f64 1 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))
(exp.f64 (*.f64 3 (fma.f64 eps x x)))
(exp.f64 (*.f64 3 (fma.f64 x eps x)))
(pow.f64 (exp.f64 3) (fma.f64 x eps x))
(*.f64 (exp.f64 (fma.f64 eps x x)) (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))
(exp.f64 (*.f64 3 (fma.f64 eps x x)))
(exp.f64 (*.f64 3 (fma.f64 x eps x)))
(pow.f64 (exp.f64 3) (fma.f64 x eps x))
(*.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1)
(exp.f64 (*.f64 3 (fma.f64 eps x x)))
(exp.f64 (*.f64 3 (fma.f64 x eps x)))
(pow.f64 (exp.f64 3) (fma.f64 x eps x))
(.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)))
(exp.f64 (*.f64 3 (fma.f64 eps x x)))
(exp.f64 (*.f64 3 (fma.f64 x eps x)))
(pow.f64 (exp.f64 3) (fma.f64 x eps x))
(*.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3/2) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3/2))
(exp.f64 (*.f64 3 (fma.f64 eps x x)))
(exp.f64 (*.f64 3 (fma.f64 x eps x)))
(pow.f64 (exp.f64 3) (fma.f64 x eps x))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)))
(exp.f64 (*.f64 3 (fma.f64 eps x x)))
(exp.f64 (*.f64 3 (fma.f64 x eps x)))
(pow.f64 (exp.f64 3) (fma.f64 x eps x))
(*.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (exp.f64 (fma.f64 eps x x)))
(exp.f64 (*.f64 3 (fma.f64 eps x x)))
(exp.f64 (*.f64 3 (fma.f64 x eps x)))
(pow.f64 (exp.f64 3) (fma.f64 x eps x))
(.f64 (.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) 1) (exp.f64 (fma.f64 eps x x)))
(exp.f64 (*.f64 3 (fma.f64 eps x x)))
(exp.f64 (*.f64 3 (fma.f64 x eps x)))
(pow.f64 (exp.f64 3) (fma.f64 x eps x))
(.f64 (.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (*.f64 3 (fma.f64 eps x x)))
(exp.f64 (*.f64 3 (fma.f64 x eps x)))
(pow.f64 (exp.f64 3) (fma.f64 x eps x))
(.f64 (.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (*.f64 3 (fma.f64 eps x x)))
(exp.f64 (*.f64 3 (fma.f64 x eps x)))
(pow.f64 (exp.f64 3) (fma.f64 x eps x))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 3) (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 3))
(exp.f64 (*.f64 3 (fma.f64 eps x x)))
(exp.f64 (*.f64 3 (fma.f64 x eps x)))
(pow.f64 (exp.f64 3) (fma.f64 x eps x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) 3) (exp.f64 (fma.f64 eps x x)))
(exp.f64 (*.f64 3 (fma.f64 eps x x)))
(exp.f64 (*.f64 3 (fma.f64 x eps x)))
(pow.f64 (exp.f64 3) (fma.f64 x eps x))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 6))
(fabs.f64 (exp.f64 (*.f64 3 (fma.f64 x eps x))))
(fabs.f64 (pow.f64 (exp.f64 3) (fma.f64 x eps x)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)))
(exp.f64 (*.f64 3 (fma.f64 eps x x)))
(exp.f64 (*.f64 3 (fma.f64 x eps x)))
(pow.f64 (exp.f64 3) (fma.f64 x eps x))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))))
(exp.f64 (*.f64 3 (fma.f64 eps x x)))
(exp.f64 (*.f64 3 (fma.f64 x eps x)))
(pow.f64 (exp.f64 3) (fma.f64 x eps x))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 3))
(exp.f64 (*.f64 3 (fma.f64 eps x x)))
(exp.f64 (*.f64 3 (fma.f64 x eps x)))
(pow.f64 (exp.f64 3) (fma.f64 x eps x))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)))
(exp.f64 (*.f64 3 (fma.f64 eps x x)))
(exp.f64 (*.f64 3 (fma.f64 x eps x)))
(pow.f64 (exp.f64 3) (fma.f64 x eps x))
(exp.f64 (*.f64 (fma.f64 eps x x) 3))
(exp.f64 (*.f64 3 (fma.f64 eps x x)))
(exp.f64 (*.f64 3 (fma.f64 x eps x)))
(pow.f64 (exp.f64 3) (fma.f64 x eps x))
(exp.f64 (.f64 (.f64 (fma.f64 eps x x) 3) 1))
(exp.f64 (*.f64 3 (fma.f64 eps x x)))
(exp.f64 (*.f64 3 (fma.f64 x eps x)))
(pow.f64 (exp.f64 3) (fma.f64 x eps x))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)))
(exp.f64 (*.f64 3 (fma.f64 eps x x)))
(exp.f64 (*.f64 3 (fma.f64 x eps x)))
(pow.f64 (exp.f64 3) (fma.f64 x eps x))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x)))) 1)
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(*.f64 1 (exp.f64 (fma.f64 eps x x)))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(*.f64 (exp.f64 (fma.f64 eps x x)) 1)
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) 1/3))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(.f64 (exp.f64 (.f64 eps x)) (exp.f64 x))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(*.f64 (pow.f64 1 1/3) (exp.f64 (fma.f64 eps x x)))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(*.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) 1/3) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3/2) 1/3) (pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3/2)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3/2)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 3/2)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 3/2)))
(pow.f64 (exp.f64 (fma.f64 eps x x)) 1)
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1/3)
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 2)
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(pow.f64 (E.f64) (fma.f64 eps x x))
(pow.f64 (E.f64) (fma.f64 x eps x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x eps x)) 2)) (cbrt.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 eps x x))) (sqrt.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x eps x))) (sqrt.f64 (fma.f64 x eps x)))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))
(fabs.f64 (exp.f64 (fma.f64 x eps x)))
(log.f64 (exp.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 eps x x)))))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(exp.f64 (.f64 (.f64 (fma.f64 eps x x) 3) 1/3))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))

eval958.0ms (4.7%)

Compiler: Compiled 35692 to 22981 computations (35.6% saved)

prune325.0ms (1.6%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	939	11	950
Fresh	2	7	9
Picked	1	0	1
Done	3	1	4
Total	945	19	964

Error

0.0b

Counts

964 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	61.5b	(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 3) (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))) (pow.f64 (.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x) (+.f64 1 (/.f64 -1 eps))) 3)) (fma.f64 (.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x) (+.f64 1 (/.f64 -1 eps))) (-.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x) (+.f64 1 (/.f64 -1 eps))) (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps))))) (pow.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))) 2))) 2)
	16.3b	(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
▶	16.0b	(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
▶	45.7b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)) 1)) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
	29.8b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (-.f64 0 (exp.f64 (log1p.f64 (.f64 (-.f64 1 eps) x)))) 1))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
	32.4b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (-.f64 (*.f64 x eps) x) (-.f64 1 x))) 2)
	59.3b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 x eps)) 2)
▶	0.7b	(/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
	61.8b	(/.f64 (*.f64 (neg.f64 eps) x) 2)
▶	16.1b	(/.f64 2 2)
	54.6b	(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x eps x))) (sqrt.f64 (fma.f64 x eps x))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))))
	45.8b	(.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (.f64 (+.f64 eps 1) x)))))
	45.3b	(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (cbrt.f64 (pow.f64 (exp.f64 3) (fma.f64 x eps x))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))))
▶	48.1b	(*.f64 1/2 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))) 3))
	29.6b	(.f64 1/2 (+.f64 (.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 1 (/.f64 1 eps))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x eps x)))))
	34.3b	(.f64 1/2 (+.f64 2 (neg.f64 (.f64 (+.f64 1 eps) (*.f64 x (-.f64 1 (/.f64 1 eps)))))))
	16.6b	(*.f64 1/2 (+.f64 1 (/.f64 1 (exp.f64 (fma.f64 eps x x)))))
	16.6b	(.f64 1/2 (+.f64 1 (exp.f64 (.f64 x (-.f64 -1 eps)))))
✓	46.7b	(*.f64 1/2 0)

Compiler

Compiled 907 to 701 computations (22.7% saved)

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 90 to 64 computations (28.9% saved)

series4.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite126.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1132×	`associate-/r*`
634×	`associate-/r/`
502×	`associate-/l*`
412×	`associate-+r+`
358×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	106
1	350	78
2	4969	78

Stop Event

1×	node limit

Counts

4 → 346

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (fma.f64 x eps x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (fma.f64 x eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 x eps x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (exp.f64 (fma.f64 x eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 x eps x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 x eps x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (exp.f64 (fma.f64 x eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (fma.f64 x eps x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (fma.f64 x eps x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x))) (sqrt.f64 (exp.f64 (fma.f64 x eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x))) (neg.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2) (cbrt.f64 (exp.f64 (fma.f64 x eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2) (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (exp.f64 (fma.f64 x eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (.f64 x eps)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1 (sqrt.f64 (exp.f64 (fma.f64 x eps x)))) (sqrt.f64 (exp.f64 (fma.f64 x eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2)) (cbrt.f64 (exp.f64 (fma.f64 x eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x)))) (sqrt.f64 (exp.f64 (fma.f64 x eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2)) (cbrt.f64 (exp.f64 (fma.f64 x eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 0 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2)) 1) (exp.f64 (fma.f64 x eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 0 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2)) -1) (exp.f64 (fma.f64 x eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 0 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2))) (exp.f64 (fma.f64 x eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 0 (exp.f64 (.f64 (fma.f64 x eps x) 3)))) (+.f64 (+.f64 0 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2)) (.f64 0 (exp.f64 (fma.f64 x eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (-.f64 0 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2))) (exp.f64 (fma.f64 x eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (-.f64 0 (exp.f64 (.f64 (fma.f64 x eps x) 3)))) (+.f64 (+.f64 0 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2)) (.f64 0 (exp.f64 (fma.f64 x eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 0 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2)) (-.f64 0 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2))) (exp.f64 (fma.f64 x eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 0 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2)) (-.f64 0 (exp.f64 (.f64 (fma.f64 x eps x) 3)))) (+.f64 (+.f64 0 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2)) (.f64 0 (exp.f64 (fma.f64 x eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (exp.f64 (fma.f64 x eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (fma.f64 x eps x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (fma.f64 x eps x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x))) (sqrt.f64 (exp.f64 (fma.f64 x eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x))) (neg.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x))) (/.f64 1 (neg.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2) (cbrt.f64 (exp.f64 (fma.f64 x eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2) (/.f64 1 (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (exp.f64 (fma.f64 x eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (.f64 x eps)) (/.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (sqrt.f64 (exp.f64 (fma.f64 x eps x)))) (sqrt.f64 (exp.f64 (fma.f64 x eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2)) (cbrt.f64 (exp.f64 (fma.f64 x eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x)))) (sqrt.f64 (exp.f64 (fma.f64 x eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2)) (cbrt.f64 (exp.f64 (fma.f64 x eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2)) (exp.f64 (fma.f64 x eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (exp.f64 (.f64 (fma.f64 x eps x) 3))) (+.f64 (+.f64 0 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2)) (.f64 0 (exp.f64 (fma.f64 x eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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#<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (sqrt.f64 (exp.f64 (fma.f64 x eps x)))) (sqrt.f64 (exp.f64 (fma.f64 x eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (sqrt.f64 (exp.f64 (fma.f64 x eps x)))) (neg.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2)) (cbrt.f64 (exp.f64 (fma.f64 x eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2)) (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (exp.f64 (.f64 x eps))) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (.f64 -1 (sqrt.f64 (exp.f64 (fma.f64 x eps x))))) (sqrt.f64 (exp.f64 (fma.f64 x eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (.f64 -1 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2))) (cbrt.f64 (exp.f64 (fma.f64 x eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (neg.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x))))) (sqrt.f64 (exp.f64 (fma.f64 x eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2))) (cbrt.f64 (exp.f64 (fma.f64 x eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 0 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2)) 1) (exp.f64 (fma.f64 x eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 0 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2)) (sqrt.f64 (exp.f64 (fma.f64 x eps x)))) (sqrt.f64 (exp.f64 (fma.f64 x eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 0 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2)) (sqrt.f64 (exp.f64 (fma.f64 x eps x)))) (neg.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 0 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2)) (cbrt.f64 (exp.f64 (fma.f64 x eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 0 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2)) (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 0 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2)) (cbrt.f64 (exp.f64 (fma.f64 x eps x)))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 0 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2)) -1) (exp.f64 (fma.f64 x eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 0 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2)) (exp.f64 (.f64 x eps))) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 0 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2)) (.f64 -1 (sqrt.f64 (exp.f64 (fma.f64 x eps x))))) (sqrt.f64 (exp.f64 (fma.f64 x eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 0 (pow.f64 (exp.f64 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simplify241.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1144×	`associate-r`
878×	`associate-l`
788×	`associate-/r*`
732×	`associate-/l*`
606×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	802	17906
1	2178	17234

Stop Event

1×	node limit

Counts

442 → 603

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize48.0ms (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)

localize55.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 150 to 109 computations (27.3% saved)

series4.0ms (0%)

Counts

3 → 60

Calls

18 calls:

Time	Variable		Point	Expression
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 (+.f64 1 eps) (neg.f64 x)))))
0.0ms	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 (+.f64 1 eps) (neg.f64 x)))))
0.0ms	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 (+.f64 1 eps) (neg.f64 x)))))
0.0ms	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 (+.f64 1 eps) (neg.f64 x)))))
0.0ms	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 (+.f64 1 eps) (neg.f64 x)))))

rewrite174.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

812×	`associate-+l+`
606×	`associate-+r+`
494×	`add-sqr-sqrt`
488×	`pow1`
488×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	135
1	481	123
2	6958	123

Stop Event

1×	node limit

Counts

3 → 289

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

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

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

Outputs

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

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

simplify430.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1212×	`+-commutative`
790×	`associate-r`
782×	`associate-+l-`
744×	`associate-+r-`
740×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	731	39655
1	2270	34861
2	7076	34705

Stop Event

1×	node limit

Counts

349 → 465

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

localize48.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(log1p.f64 (/.f64 1 eps))
✓	0.3b	(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))) 3)
✓	0.7b	(cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
✓	1.6b	(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))

Compiler

Compiled 124 to 77 computations (37.9% saved)

series35.0ms (0.2%)

Counts

4 → 60

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	eps	@	0	(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))) 3)
4.0ms	x	@	0	(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))) 3)
4.0ms	x	@	-inf	(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
4.0ms	eps	@	inf	(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))) 3)
3.0ms	eps	@	-inf	(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))) 3)

rewrite253.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1454×	`distribute-lft-in`
654×	`associate-/r*`
402×	`associate-+l+`
378×	`associate-/l*`
360×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	138
1	370	138
2	4669	138

Stop Event

1×	node limit

Counts

4 → 147

Calls

Call 1

Inputs
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))) 3)
(log1p.f64 (/.f64 1 eps))

Outputs
((#(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 (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 (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 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (/.f64 1 eps)) (/.f64 1 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 1 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (/.f64 1 eps))) (/.f64 (exp.f64 (fma.f64 eps x x)) (sqrt.f64 (+.f64 1 (/.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (cbrt.f64 (+.f64 1 (/.f64 1 eps)))) (/.f64 (exp.f64 (fma.f64 eps x x)) (cbrt.f64 (+.f64 1 (/.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 eps -2)) (.f64 (exp.f64 (fma.f64 eps x x)) (-.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 eps -3)) (.f64 (exp.f64 (fma.f64 eps x x)) (-.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (/.f64 1 eps))) (neg.f64 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) 1) (exp.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 eps x))) (exp.f64 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 (E.f64) (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))) (#(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 (sqrt.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (sqrt.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (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 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 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (+.f64 1 (+.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 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 1/6) (pow.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (exp.f64 (-.f64 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(cbrt.f64 (cbrt.f64 (+.f64 1 (+.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 (pow.f64 (sqrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))) 1/3) (pow.f64 (sqrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 1 eps) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2))) (cbrt.f64 (-.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 1 eps) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3))) (cbrt.f64 (+.f64 1 (.f64 (+.f64 (/.f64 1 eps) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (+.f64 (/.f64 1 eps) (expm1.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) 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simplify340.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1156×	`associate-r`
940×	`fma-def`
910×	`associate-l`
766×	`*-commutative`
610×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	681	24329
1	2147	22905

Stop Event

1×	node limit

Counts

207 → 309

Calls

Call 1

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

Outputs
(exp.f64 (-.f64 (*.f64 -1 (log.f64 eps)) x))
(exp.f64 (-.f64 (neg.f64 (log.f64 eps)) x))
(/.f64 (/.f64 1 eps) (exp.f64 x))
(+.f64 (.f64 eps (.f64 (exp.f64 (-.f64 (.f64 -1 (log.f64 eps)) x)) (-.f64 1 x))) (exp.f64 (-.f64 (.f64 -1 (log.f64 eps)) x)))
(fma.f64 eps (*.f64 (exp.f64 (-.f64 (neg.f64 (log.f64 eps)) x)) (-.f64 1 x)) (exp.f64 (-.f64 (neg.f64 (log.f64 eps)) x)))
(fma.f64 eps (/.f64 (*.f64 (-.f64 1 x) (/.f64 1 eps)) (exp.f64 x)) (/.f64 (/.f64 1 eps) (exp.f64 x)))
(+.f64 (.f64 eps (.f64 (exp.f64 (-.f64 (.f64 -1 (log.f64 eps)) x)) (-.f64 1 x))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 (-.f64 (.f64 1/2 (pow.f64 (-.f64 1 x) 2)) 1/2) (exp.f64 (-.f64 (.f64 -1 (log.f64 eps)) x)))) (exp.f64 (-.f64 (.f64 -1 (log.f64 eps)) x))))
(fma.f64 eps (.f64 (exp.f64 (-.f64 (neg.f64 (log.f64 eps)) x)) (-.f64 1 x)) (fma.f64 (.f64 eps eps) (*.f64 (exp.f64 (-.f64 (neg.f64 (log.f64 eps)) x)) (fma.f64 1/2 (pow.f64 (-.f64 1 x) 2) -1/2)) (exp.f64 (-.f64 (neg.f64 (log.f64 eps)) x))))
(fma.f64 eps (/.f64 (.f64 (-.f64 1 x) (/.f64 1 eps)) (exp.f64 x)) (.f64 (+.f64 (.f64 eps (.f64 eps (fma.f64 1/2 (pow.f64 (-.f64 1 x) 2) -1/2))) 1) (/.f64 (/.f64 1 eps) (exp.f64 x))))
(+.f64 (.f64 (pow.f64 eps 3) (.f64 (+.f64 1/3 (+.f64 (.f64 -1/2 (-.f64 1 x)) (.f64 1/6 (pow.f64 (-.f64 1 x) 3)))) (exp.f64 (-.f64 (.f64 -1 (log.f64 eps)) x)))) (+.f64 (.f64 eps (.f64 (exp.f64 (-.f64 (.f64 -1 (log.f64 eps)) x)) (-.f64 1 x))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 (-.f64 (.f64 1/2 (pow.f64 (-.f64 1 x) 2)) 1/2) (exp.f64 (-.f64 (.f64 -1 (log.f64 eps)) x)))) (exp.f64 (-.f64 (*.f64 -1 (log.f64 eps)) x)))))
(fma.f64 (pow.f64 eps 3) (.f64 (exp.f64 (-.f64 (neg.f64 (log.f64 eps)) x)) (+.f64 1/3 (fma.f64 -1/2 (-.f64 1 x) (.f64 1/6 (pow.f64 (-.f64 1 x) 3))))) (fma.f64 eps (.f64 (exp.f64 (-.f64 (neg.f64 (log.f64 eps)) x)) (-.f64 1 x)) (fma.f64 (.f64 eps eps) (*.f64 (exp.f64 (-.f64 (neg.f64 (log.f64 eps)) x)) (fma.f64 1/2 (pow.f64 (-.f64 1 x) 2) -1/2)) (exp.f64 (-.f64 (neg.f64 (log.f64 eps)) x)))))
(fma.f64 (pow.f64 eps 3) (.f64 (/.f64 (/.f64 1 eps) (exp.f64 x)) (+.f64 1/3 (fma.f64 (-.f64 1 x) -1/2 (.f64 1/6 (pow.f64 (-.f64 1 x) 3))))) (fma.f64 eps (/.f64 (.f64 (-.f64 1 x) (/.f64 1 eps)) (exp.f64 x)) (.f64 (+.f64 (.f64 eps (.f64 eps (fma.f64 1/2 (pow.f64 (-.f64 1 x) 2) -1/2))) 1) (/.f64 (/.f64 1 eps) (exp.f64 x)))))
(+.f64 (/.f64 1 eps) 1)
(+.f64 1 (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (+.f64 1 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))))
(+.f64 (/.f64 1 eps) (+.f64 1 (.f64 (+.f64 -1 (neg.f64 (/.f64 1 eps))) (.f64 x (+.f64 eps 1)))))
(+.f64 (/.f64 1 eps) (fma.f64 (-.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) 1))
(+.f64 (/.f64 1 eps) (+.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2)))) (+.f64 1 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (+.f64 1 eps) x))))))
(+.f64 (/.f64 1 eps) (fma.f64 1/2 (.f64 (.f64 (.f64 x x) (pow.f64 (+.f64 eps 1) 2)) (+.f64 1 (/.f64 1 eps))) (+.f64 1 (.f64 (+.f64 -1 (neg.f64 (/.f64 1 eps))) (*.f64 x (+.f64 eps 1))))))
(+.f64 (/.f64 1 eps) (fma.f64 1/2 (.f64 (.f64 (fma.f64 eps x x) (fma.f64 eps x x)) (+.f64 1 (/.f64 1 eps))) (fma.f64 (-.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) 1)))
(+.f64 (/.f64 1 eps) (+.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2)))) (+.f64 1 (+.f64 (.f64 -1/6 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))) (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))))))
(+.f64 (/.f64 1 eps) (fma.f64 1/2 (.f64 (.f64 (.f64 x x) (pow.f64 (+.f64 eps 1) 2)) (+.f64 1 (/.f64 1 eps))) (+.f64 1 (fma.f64 -1/6 (.f64 (.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3)) (+.f64 1 (/.f64 1 eps))) (.f64 (+.f64 -1 (neg.f64 (/.f64 1 eps))) (*.f64 x (+.f64 eps 1)))))))
(+.f64 (/.f64 1 eps) (+.f64 (fma.f64 1/2 (.f64 (.f64 (fma.f64 eps x x) (fma.f64 eps x x)) (+.f64 1 (/.f64 1 eps))) (fma.f64 (-.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) 1)) (.f64 (.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3)) (+.f64 -1/6 (*.f64 -1/6 (/.f64 1 eps))))))
(pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 1/3)
(cbrt.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(+.f64 (.f64 1/3 (.f64 (/.f64 1 eps) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2)) 1/9))) (pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 1/3))
(fma.f64 1/3 (.f64 (/.f64 1 eps) (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2)) 1/18))) (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(fma.f64 1/3 (/.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2)) 1/18)) eps) (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(+.f64 (.f64 1/3 (.f64 (/.f64 1 eps) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2)) 1/9))) (+.f64 (.f64 -1/9 (.f64 (/.f64 1 (pow.f64 eps 2)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 7)) 1/9))) (pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 1/3)))
(fma.f64 1/3 (.f64 (/.f64 1 eps) (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2)) 1/18))) (fma.f64 -1/9 (.f64 (/.f64 1 (.f64 eps eps)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 7)) 1/18))) (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))
(fma.f64 1/3 (/.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2)) 1/18)) eps) (fma.f64 -1/9 (/.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 7)) 1/18)) (*.f64 eps eps)) (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))
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(*.f64 (log1p.f64 (/.f64 1 eps)) 1)
(log1p.f64 (/.f64 1 eps))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 eps))) (sqrt.f64 (log1p.f64 (/.f64 1 eps))))
(log1p.f64 (/.f64 1 eps))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 eps))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 eps))) 2))
(log1p.f64 (/.f64 1 eps))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 eps))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 eps))))
(log1p.f64 (/.f64 1 eps))
(pow.f64 (log1p.f64 (/.f64 1 eps)) 1)
(log1p.f64 (/.f64 1 eps))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 eps))) 2)
(log1p.f64 (/.f64 1 eps))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 eps))) 3)
(log1p.f64 (/.f64 1 eps))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 eps)) 3) 1/3)
(log1p.f64 (/.f64 1 eps))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 eps)) 2))
(fabs.f64 (log1p.f64 (/.f64 1 eps)))
(log.f64 (+.f64 1 (/.f64 1 eps)))
(log1p.f64 (/.f64 1 eps))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 eps)) 3))
(log1p.f64 (/.f64 1 eps))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 eps))))
(log1p.f64 (/.f64 1 eps))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 eps))))
(log1p.f64 (/.f64 1 eps))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 eps))) 1))
(log1p.f64 (/.f64 1 eps))

eval2.6s (12.4%)

Compiler: Compiled 66977 to 46005 computations (31.3% saved)

prune945.0ms (4.6%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	1489	11	1500
Fresh	7	6	13
Picked	1	0	1
Done	3	2	5
Total	1500	19	1519

Error

0.0b

Counts

1519 → 19

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.6b	(/.f64 (-.f64 (+.f64 1 (-.f64 (.f64 eps x) x)) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
	16.3b	(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
	16.4b	(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 1)) 2)
	54.9b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)) 1)) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (sqrt.f64 (+.f64 x (.f64 x eps)))) (sqrt.f64 (+.f64 x (.f64 x eps)))))) 2)
▶	46.1b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)) 1)) (.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
	29.8b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (-.f64 0 (exp.f64 (log1p.f64 (.f64 (-.f64 1 eps) x)))) 1))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
▶	0.7b	(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (neg.f64 (/.f64 1 (exp.f64 (fma.f64 x eps x))))) 2)
	16.6b	(/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (+.f64 1 (.f64 -1 (*.f64 (+.f64 1 eps) x))))) 2)
	16.6b	(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (neg.f64 1)) 2)
	0.7b	(/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (exp.f64 (-.f64 (.f64 eps x) x))) 2)
	61.8b	(/.f64 (*.f64 (neg.f64 eps) x) 2)
▶	61.7b	(/.f64 (*.f64 x eps) 2)
✓	16.1b	(/.f64 2 2)
	48.1b	(*.f64 1/2 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))) 3))
▶	48.7b	(*.f64 1/2 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))))) 3))
	34.3b	(.f64 1/2 (+.f64 2 (neg.f64 (.f64 (+.f64 1 eps) (*.f64 x (-.f64 1 (/.f64 1 eps)))))))
	16.6b	(*.f64 1/2 (+.f64 1 (/.f64 1 (exp.f64 (fma.f64 eps x x)))))
	16.6b	(.f64 1/2 (+.f64 1 (exp.f64 (.f64 x (-.f64 -1 eps)))))
✓	46.7b	(*.f64 1/2 0)

Compiler

Compiled 680 to 536 computations (21.2% saved)

localize55.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 85 to 45 computations (47.1% saved)

series6.0ms (0%)

Counts

2 → 16

Calls

12 calls:

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

rewrite89.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1750×	`add-sqr-sqrt`
1734×	`*-un-lft-identity`
1600×	`add-cube-cbrt`
1580×	`add-cbrt-cube`
188×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	194	30
2	2205	30

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

Outputs

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

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

simplify58.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

926×	`*-commutative`
892×	`unswap-sqr`
814×	`distribute-lft-in`
806×	`associate-*r/`
736×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	182	1826
1	508	1660
2	2282	1602

Stop Event

1×	node limit

Counts

64 → 107

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite62.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1460×	`add-sqr-sqrt`
1434×	`*-un-lft-identity`
1344×	`add-cube-cbrt`
1328×	`add-cbrt-cube`
1314×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	149	13
2	1810	13

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

Outputs

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

simplify47.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1356×	`associate-+r+`
1138×	`associate-+l+`
1070×	`associate-*r/`
930×	`associate-/l*`
750×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	692
1	160	692
2	713	686
3	2156	686

Stop Event

1×	node limit

Counts

52 → 31

Calls

Call 1

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

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

localize41.0ms (0.2%)

Local error

Found 3 expressions with local error:

New

Error

Program

0.0b

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

0.0b

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

✓

5.5b

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

Compiler

Compiled 114 to 90 computations (21.1% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite186.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1254×	`associate-/r*`
714×	`associate-+l+`
508×	`associate-+r+`
402×	`+-commutative`
372×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	57
1	379	51
2	5254	51

Stop Event

1×	node limit

Counts

1 → 183

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) 1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 -1 eps) (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (neg.f64 (-.f64 1 eps)) x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (neg.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (neg.f64 (-.f64 1 eps)) x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (neg.f64 (pow.f64 eps -1/2)) (pow.f64 eps -1/2)) (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (neg.f64 (-.f64 1 eps)) x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 eps -2))) (/.f64 1 (cbrt.f64 eps))) (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (neg.f64 (-.f64 1 eps)) x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 1 eps) x)) (+.f64 1 (/.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 1 eps) x)) (+.f64 1 (+.f64 (/.f64 -1 eps) (+.f64 (neg.f64 (/.f64 1 eps)) (/.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 1 eps) x)) (+.f64 (/.f64 1 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 1 eps) x)) (-.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 (neg.f64 (/.f64 1 eps)) (/.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 eps) x) (+.f64 (*.f64 (*.f64 (-.f64 1 eps) x) (/.f64 1 eps)) (+.f64 (+.f64 2 (/.f64 1 eps)) (/.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 eps) x) (+.f64 (*.f64 (/.f64 1 eps) (*.f64 (-.f64 1 eps) x)) (+.f64 (+.f64 2 (/.f64 1 eps)) (/.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 (-.f64 1 eps)) x 1) (+.f64 (*.f64 (fma.f64 (neg.f64 (-.f64 1 eps)) x 1) (/.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 (-.f64 1 eps)) x 1) (+.f64 (*.f64 (/.f64 1 eps) (fma.f64 (neg.f64 (-.f64 1 eps)) x 1)) (+.f64 1 (/.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 (-.f64 1 eps)) x 1) (+.f64 (*.f64 (fma.f64 (neg.f64 (-.f64 1 eps)) x 1) (/.f64 1 eps)) (+.f64 1 (+.f64 (/.f64 -1 eps) (+.f64 (neg.f64 (/.f64 1 eps)) (/.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 (-.f64 1 eps)) x 1) (+.f64 (*.f64 (/.f64 1 eps) (fma.f64 (neg.f64 (-.f64 1 eps)) x 1)) (+.f64 1 (+.f64 (/.f64 -1 eps) (+.f64 (neg.f64 (/.f64 1 eps)) (/.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 (-.f64 1 eps)) x 1) (-.f64 (*.f64 (fma.f64 (neg.f64 (-.f64 1 eps)) x 1) (/.f64 1 eps)) (+.f64 (/.f64 1 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 (-.f64 1 eps)) x 1) (-.f64 (*.f64 (/.f64 1 eps) (fma.f64 (neg.f64 (-.f64 1 eps)) x 1)) (+.f64 (/.f64 1 eps) -1)))))) 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simplify154.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1492×	`associate-+r+`
1204×	`associate-/l*`
1096×	`fma-def`
940×	`+-commutative`
694×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	438	15013
1	1374	12831
2	5507	12819

Stop Event

1×	node limit

Counts

207 → 249

Calls

Call 1

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

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

localize31.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 84 to 48 computations (42.9% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite121.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1644×	`associate-/r*`
678×	`associate-+l+`
468×	`associate-+r+`
406×	`+-commutative`
358×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	62
1	342	46
2	5043	40

Stop Event

1×	node limit

Counts

2 → 279

Calls

Call 1

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

Outputs

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

simplify144.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1050×	`associate-+l+`
984×	`associate-+r+`
828×	`+-commutative`
460×	`associate-/l*`
456×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	700	14145
1	1998	13747

Stop Event

1×	node limit

Counts

327 → 442

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

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

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 eps) (fma.f64 eps x x))
✓	0.0b	(exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))
✓	0.3b	(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))))) 3)
✓	0.4b	(cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x))))))

Compiler

Compiled 113 to 67 computations (40.7% saved)

series25.0ms (0.1%)

Counts

4 → 68

Calls

24 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))))) 3)
3.0ms	eps	@	inf	(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))))) 3)
3.0ms	eps	@	-inf	(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))))) 3)
2.0ms	x	@	0	(cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x))))))
2.0ms	x	@	-inf	(cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x))))))

rewrite135.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1414×	`distribute-lft-in`
678×	`associate-/r*`
406×	`associate-/l*`
396×	`associate-+l+`
342×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	136
1	351	136
2	4459	136

Stop Event

1×	node limit

Counts

4 → 236

Calls

Call 1

Inputs
(cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x))))))
(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))))) 3)
(exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))
(-.f64 (/.f64 1 eps) (fma.f64 eps x x))

Outputs
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x)))))))

simplify234.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1424×	`associate-r`
966×	`associate-l`
910×	`*-commutative`
896×	`associate-+r+`
896×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	877	30716
1	2713	30552

Stop Event

1×	node limit

Counts

304 → 452

Calls

Call 1

Inputs
(pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 1/3)
(+.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 1/3) (.f64 1/3 (.f64 (/.f64 1 eps) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 2)) 1/9))))
(+.f64 (.f64 -1/9 (.f64 (/.f64 1 (pow.f64 eps 2)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 7)) 1/9))) (+.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 1/3) (.f64 1/3 (.f64 (/.f64 1 eps) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 2)) 1/9)))))
(+.f64 (.f64 -1/9 (.f64 (/.f64 1 (pow.f64 eps 2)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 7)) 1/9))) (+.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 1/3) (+.f64 (.f64 1/3 (.f64 (/.f64 1 eps) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 2)) 1/9))) (.f64 -1/3 (.f64 (/.f64 (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 2)) 1/3)) (.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 2)) 1/3)))) (pow.f64 eps 3)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 2)) 1/3))))))
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(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x))))))
(*.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (fma.f64 eps x x) 2)) (/.f64 1 (+.f64 (/.f64 1 eps) (fma.f64 eps x x))))
(*.f64 (-.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 eps x x) 2) (+.f64 (/.f64 (fma.f64 eps x x) eps) (pow.f64 eps -2)))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 eps x x)) (pow.f64 eps -1/2)) (-.f64 (pow.f64 eps -1/2) (sqrt.f64 (fma.f64 eps x x))))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 eps) (fma.f64 eps x x))) (-.f64 (pow.f64 eps -2) (pow.f64 (fma.f64 eps x x) 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 eps x x) 2) (+.f64 (/.f64 (fma.f64 eps x x) eps) (pow.f64 eps -2)))) (-.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (fma.f64 eps x x) 2)) (-.f64 (pow.f64 eps -2) (pow.f64 (fma.f64 eps x x) 2))) (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))
(*.f64 (/.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (fma.f64 eps x x) 2)) (+.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3))) (+.f64 (pow.f64 eps -2) (-.f64 (pow.f64 (fma.f64 eps x x) 2) (/.f64 (fma.f64 eps x x) eps))))
(.f64 (/.f64 (-.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3)) (-.f64 (.f64 (pow.f64 eps -2) (pow.f64 eps -2)) (*.f64 (+.f64 (pow.f64 (fma.f64 eps x x) 2) (/.f64 (fma.f64 eps x x) eps)) (+.f64 (pow.f64 (fma.f64 eps x x) 2) (/.f64 (fma.f64 eps x x) eps))))) (-.f64 (pow.f64 eps -2) (+.f64 (pow.f64 (fma.f64 eps x x) 2) (/.f64 (fma.f64 eps x x) eps))))
(.f64 (/.f64 (-.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3)) (+.f64 (pow.f64 (pow.f64 eps -2) 3) (pow.f64 (+.f64 (pow.f64 (fma.f64 eps x x) 2) (/.f64 (fma.f64 eps x x) eps)) 3))) (+.f64 (.f64 (pow.f64 eps -2) (pow.f64 eps -2)) (-.f64 (.f64 (+.f64 (pow.f64 (fma.f64 eps x x) 2) (/.f64 (fma.f64 eps x x) eps)) (+.f64 (pow.f64 (fma.f64 eps x x) 2) (/.f64 (fma.f64 eps x x) eps))) (.f64 (pow.f64 eps -2) (+.f64 (pow.f64 (fma.f64 eps x x) 2) (/.f64 (fma.f64 eps x x) eps))))))
(/.f64 1 (/.f64 1 (-.f64 (/.f64 1 eps) (fma.f64 eps x x))))
(/.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (fma.f64 eps x x) 2)) (+.f64 (/.f64 1 eps) (fma.f64 eps x x)))
(/.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x x)) (/.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x x)) (-.f64 (/.f64 1 eps) (fma.f64 eps x x))))
(/.f64 (-.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3)) (+.f64 (pow.f64 (fma.f64 eps x x) 2) (+.f64 (/.f64 (fma.f64 eps x x) eps) (pow.f64 eps -2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 eps x x) 2) (+.f64 (/.f64 (fma.f64 eps x x) eps) (pow.f64 eps -2))) (/.f64 (+.f64 (pow.f64 (fma.f64 eps x x) 2) (+.f64 (/.f64 (fma.f64 eps x x) eps) (pow.f64 eps -2))) (-.f64 (/.f64 1 eps) (fma.f64 eps x x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (fma.f64 eps x x) 2))) (/.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x x)) (sqrt.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (fma.f64 eps x x) 2)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3))) (/.f64 (+.f64 (pow.f64 (fma.f64 eps x x) 2) (+.f64 (/.f64 (fma.f64 eps x x) eps) (pow.f64 eps -2))) (sqrt.f64 (-.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (fma.f64 eps x x) 2))) (cbrt.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (fma.f64 eps x x) 2)))) (/.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x x)) (cbrt.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (fma.f64 eps x x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3))) (cbrt.f64 (-.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3)))) (/.f64 (+.f64 (pow.f64 (fma.f64 eps x x) 2) (+.f64 (/.f64 (fma.f64 eps x x) eps) (pow.f64 eps -2))) (cbrt.f64 (-.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3)))))
(/.f64 (-.f64 (pow.f64 eps -2) (*.f64 (neg.f64 (fma.f64 eps x x)) (neg.f64 (fma.f64 eps x x)))) (-.f64 (/.f64 1 eps) (neg.f64 (fma.f64 eps x x))))
(/.f64 (-.f64 (.f64 (pow.f64 eps -2) (pow.f64 eps -2)) (.f64 (pow.f64 (fma.f64 eps x x) 2) (pow.f64 (fma.f64 eps x x) 2))) (*.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x x)) (+.f64 (pow.f64 (fma.f64 eps x x) 2) (pow.f64 eps -2))))
(/.f64 (-.f64 (.f64 (pow.f64 eps -3) (pow.f64 eps -3)) (.f64 (pow.f64 (fma.f64 eps x x) 3) (pow.f64 (fma.f64 eps x x) 3))) (*.f64 (+.f64 (pow.f64 (fma.f64 eps x x) 2) (+.f64 (/.f64 (fma.f64 eps x x) eps) (pow.f64 eps -2))) (+.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3))))
(/.f64 (+.f64 (pow.f64 eps -3) (pow.f64 (neg.f64 (fma.f64 eps x x)) 3)) (+.f64 (pow.f64 eps -2) (-.f64 (.f64 (neg.f64 (fma.f64 eps x x)) (neg.f64 (fma.f64 eps x x))) (.f64 (/.f64 1 eps) (neg.f64 (fma.f64 eps x x))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 eps -2) 3) (pow.f64 (pow.f64 (fma.f64 eps x x) 2) 3)) (.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x x)) (+.f64 (.f64 (pow.f64 eps -2) (pow.f64 eps -2)) (+.f64 (.f64 (pow.f64 (fma.f64 eps x x) 2) (pow.f64 (fma.f64 eps x x) 2)) (.f64 (pow.f64 eps -2) (pow.f64 (fma.f64 eps x x) 2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 eps -3) 3) (pow.f64 (pow.f64 (fma.f64 eps x x) 3) 3)) (.f64 (+.f64 (pow.f64 (fma.f64 eps x x) 2) (+.f64 (/.f64 (fma.f64 eps x x) eps) (pow.f64 eps -2))) (+.f64 (.f64 (pow.f64 eps -3) (pow.f64 eps -3)) (+.f64 (.f64 (pow.f64 (fma.f64 eps x x) 3) (pow.f64 (fma.f64 eps x x) 3)) (.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (fma.f64 eps x x) 2))) (neg.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 eps x x) 2) (+.f64 (/.f64 (fma.f64 eps x x) eps) (pow.f64 eps -2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (fma.f64 eps x x) 2)) 1) (+.f64 (/.f64 1 eps) (fma.f64 eps x x)))
(/.f64 (/.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (fma.f64 eps x x) 2)) (sqrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x x)))) (sqrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x x))))
(/.f64 (/.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (fma.f64 eps x x) 2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x x))) (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x x))))) (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x x))))
(/.f64 (/.f64 (-.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3)) 1) (+.f64 (pow.f64 (fma.f64 eps x x) 2) (+.f64 (/.f64 (fma.f64 eps x x) eps) (pow.f64 eps -2))))
(/.f64 (/.f64 (-.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 eps x x) 2) (+.f64 (/.f64 (fma.f64 eps x x) eps) (pow.f64 eps -2))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 eps x x) 2) (+.f64 (/.f64 (fma.f64 eps x x) eps) (pow.f64 eps -2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 eps x x) 2) (+.f64 (/.f64 (fma.f64 eps x x) eps) (pow.f64 eps -2)))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 eps x x) 2) (+.f64 (/.f64 (fma.f64 eps x x) eps) (pow.f64 eps -2)))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 eps x x) 2) (+.f64 (/.f64 (fma.f64 eps x x) eps) (pow.f64 eps -2)))))
(pow.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x))))
(exp.f64 (log.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x))))
(fma.f64 1 (/.f64 1 eps) (neg.f64 (fma.f64 eps x x)))
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) (neg.f64 (fma.f64 eps x x)))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) (neg.f64 (fma.f64 eps x x)))

Outputs
(pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 1/3)
(cbrt.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))))
(+.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 1/3) (.f64 1/3 (.f64 (/.f64 1 eps) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 2)) 1/9))))
(+.f64 (.f64 1/3 (.f64 (/.f64 1 eps) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 2)) 1/18)))) (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x))))))
(+.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 2)) 1/18)) (/.f64 1/3 eps)) (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x))))))
(+.f64 (.f64 -1/9 (.f64 (/.f64 1 (pow.f64 eps 2)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 7)) 1/9))) (+.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 1/3) (.f64 1/3 (.f64 (/.f64 1 eps) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 2)) 1/9)))))
(fma.f64 -1/9 (.f64 (/.f64 1 (.f64 eps eps)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 7)) 1/18))) (+.f64 (.f64 1/3 (.f64 (/.f64 1 eps) (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 2)) 1/18)))) (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))))))
(+.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 2)) 1/18)) (/.f64 1/3 eps)) (+.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 7)) 1/18)) (/.f64 -1/9 (*.f64 eps eps))) (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))))))
(+.f64 (.f64 -1/9 (.f64 (/.f64 1 (pow.f64 eps 2)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 7)) 1/9))) (+.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 1/3) (+.f64 (.f64 1/3 (.f64 (/.f64 1 eps) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 2)) 1/9))) (.f64 -1/3 (.f64 (/.f64 (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 2)) 1/3)) (.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 2)) 1/3)))) (pow.f64 eps 3)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 2)) 1/3))))))
(fma.f64 -1/9 (.f64 (/.f64 1 (.f64 eps eps)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 7)) 1/18))) (+.f64 (fma.f64 1/3 (.f64 (/.f64 1 eps) (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 2)) 1/18))) (.f64 -1/3 (/.f64 (.f64 (fma.f64 1/27 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 2))) (.f64 -2/9 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 2))))) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 2)))) (pow.f64 eps 3)))) (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))))))
(+.f64 (+.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 2)) 1/18)) (/.f64 1/3 eps)) (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))))) (+.f64 (.f64 -1/3 (/.f64 (fma.f64 1/27 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 2))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 2))) -2/9)) (/.f64 (pow.f64 eps 3) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 2)))))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 7)) 1/18)) (/.f64 -1/9 (*.f64 eps eps)))))
(pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 1/3)
(cbrt.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))))
(+.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 1/3) (.f64 1/3 (.f64 (/.f64 1 eps) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 2)) 1/9))))
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(+.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))) 2)) 1/18)) (/.f64 1/3 eps)) (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x))))))
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(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3))) (cbrt.f64 (-.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3)))) (+.f64 (pow.f64 (fma.f64 eps x x) 2) (+.f64 (pow.f64 eps -2) (/.f64 (fma.f64 eps x x) eps)))) (cbrt.f64 (-.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3))) (/.f64 (/.f64 (+.f64 (pow.f64 eps -2) (+.f64 (pow.f64 (fma.f64 eps x x) 2) (/.f64 (fma.f64 eps x x) eps))) (cbrt.f64 (-.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3)))) (cbrt.f64 (-.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3)))))
(/.f64 (-.f64 (pow.f64 eps -2) (*.f64 (neg.f64 (fma.f64 eps x x)) (neg.f64 (fma.f64 eps x x)))) (-.f64 (/.f64 1 eps) (neg.f64 (fma.f64 eps x x))))
(/.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (fma.f64 eps x x) 2)) (-.f64 (/.f64 1 eps) (neg.f64 (fma.f64 eps x x))))
(/.f64 (-.f64 (.f64 (pow.f64 eps -2) (pow.f64 eps -2)) (.f64 (pow.f64 (fma.f64 eps x x) 2) (pow.f64 (fma.f64 eps x x) 2))) (*.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x x)) (+.f64 (pow.f64 (fma.f64 eps x x) 2) (pow.f64 eps -2))))
(/.f64 (-.f64 (pow.f64 eps -4) (pow.f64 (fma.f64 eps x x) 4)) (*.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x x)) (+.f64 (pow.f64 eps -2) (pow.f64 (fma.f64 eps x x) 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 eps -4) (pow.f64 (fma.f64 eps x x) 4)) (+.f64 (/.f64 1 eps) (fma.f64 eps x x))) (+.f64 (pow.f64 eps -2) (pow.f64 (fma.f64 eps x x) 2)))
(/.f64 (-.f64 (.f64 (pow.f64 eps -3) (pow.f64 eps -3)) (.f64 (pow.f64 (fma.f64 eps x x) 3) (pow.f64 (fma.f64 eps x x) 3))) (*.f64 (+.f64 (pow.f64 (fma.f64 eps x x) 2) (+.f64 (/.f64 (fma.f64 eps x x) eps) (pow.f64 eps -2))) (+.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3))))
(/.f64 (-.f64 (pow.f64 eps -6) (pow.f64 (fma.f64 eps x x) 6)) (*.f64 (+.f64 (pow.f64 (fma.f64 eps x x) 2) (+.f64 (pow.f64 eps -2) (/.f64 (fma.f64 eps x x) eps))) (+.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 eps -6) (pow.f64 (fma.f64 eps x x) 6)) (+.f64 (pow.f64 eps -2) (+.f64 (pow.f64 (fma.f64 eps x x) 2) (/.f64 (fma.f64 eps x x) eps)))) (+.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3)))
(/.f64 (+.f64 (pow.f64 eps -3) (pow.f64 (neg.f64 (fma.f64 eps x x)) 3)) (+.f64 (pow.f64 eps -2) (-.f64 (.f64 (neg.f64 (fma.f64 eps x x)) (neg.f64 (fma.f64 eps x x))) (.f64 (/.f64 1 eps) (neg.f64 (fma.f64 eps x x))))))
(/.f64 (-.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3)) (+.f64 (pow.f64 eps -2) (-.f64 (pow.f64 (fma.f64 eps x x) 2) (/.f64 (neg.f64 (fma.f64 eps x x)) eps))))
(/.f64 (-.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3)) (-.f64 (pow.f64 (fma.f64 eps x x) 2) (-.f64 (/.f64 (neg.f64 (fma.f64 eps x x)) eps) (pow.f64 eps -2))))
(/.f64 (-.f64 (pow.f64 (pow.f64 eps -2) 3) (pow.f64 (pow.f64 (fma.f64 eps x x) 2) 3)) (.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x x)) (+.f64 (.f64 (pow.f64 eps -2) (pow.f64 eps -2)) (+.f64 (.f64 (pow.f64 (fma.f64 eps x x) 2) (pow.f64 (fma.f64 eps x x) 2)) (.f64 (pow.f64 eps -2) (pow.f64 (fma.f64 eps x x) 2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 eps -2) 3) (pow.f64 (pow.f64 (fma.f64 eps x x) 2) 3)) (.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x x)) (+.f64 (pow.f64 eps -4) (+.f64 (pow.f64 (fma.f64 eps x x) 4) (.f64 (pow.f64 eps -2) (pow.f64 (fma.f64 eps x x) 2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 eps -2) 3) (pow.f64 (fma.f64 eps x x) 6)) (+.f64 (*.f64 (pow.f64 eps -2) (pow.f64 (fma.f64 eps x x) 2)) (+.f64 (pow.f64 eps -4) (pow.f64 (fma.f64 eps x x) 4)))) (+.f64 (/.f64 1 eps) (fma.f64 eps x x)))
(/.f64 (-.f64 (pow.f64 (pow.f64 eps -3) 3) (pow.f64 (pow.f64 (fma.f64 eps x x) 3) 3)) (.f64 (+.f64 (pow.f64 (fma.f64 eps x x) 2) (+.f64 (/.f64 (fma.f64 eps x x) eps) (pow.f64 eps -2))) (+.f64 (.f64 (pow.f64 eps -3) (pow.f64 eps -3)) (+.f64 (.f64 (pow.f64 (fma.f64 eps x x) 3) (pow.f64 (fma.f64 eps x x) 3)) (.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 eps -3) 3) (pow.f64 (pow.f64 (fma.f64 eps x x) 3) 3)) (.f64 (+.f64 (pow.f64 (fma.f64 eps x x) 2) (+.f64 (pow.f64 eps -2) (/.f64 (fma.f64 eps x x) eps))) (+.f64 (pow.f64 eps -6) (+.f64 (pow.f64 (fma.f64 eps x x) 6) (.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 eps -3) 3) (pow.f64 (pow.f64 (fma.f64 eps x x) 3) 3)) (.f64 (+.f64 (pow.f64 eps -2) (+.f64 (pow.f64 (fma.f64 eps x x) 2) (/.f64 (fma.f64 eps x x) eps))) (+.f64 (pow.f64 eps -6) (+.f64 (pow.f64 (fma.f64 eps x x) 6) (.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (fma.f64 eps x x) 2))) (neg.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (fma.f64 eps x x) 2))) (-.f64 (neg.f64 (fma.f64 eps x x)) (/.f64 1 eps)))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 eps x x) 2) (+.f64 (/.f64 (fma.f64 eps x x) eps) (pow.f64 eps -2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 eps x x) 2) (+.f64 (pow.f64 eps -2) (/.f64 (fma.f64 eps x x) eps)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3))) (neg.f64 (+.f64 (pow.f64 eps -2) (+.f64 (pow.f64 (fma.f64 eps x x) 2) (/.f64 (fma.f64 eps x x) eps)))))
(/.f64 (/.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (fma.f64 eps x x) 2)) 1) (+.f64 (/.f64 1 eps) (fma.f64 eps x x)))
(/.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (fma.f64 eps x x) 2)) (+.f64 (/.f64 1 eps) (fma.f64 eps x x)))
(/.f64 (/.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (fma.f64 eps x x) 2)) (sqrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x x)))) (sqrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x x))))
(/.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (fma.f64 eps x x) 2)) (*.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x x))) (sqrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (fma.f64 eps x x) 2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x x))) (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x x))))) (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x x))))
(/.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (fma.f64 eps x x) 2)) (.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x x))) (.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x x))) (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (fma.f64 eps x x) 2)) (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x x)))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x x))) (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3)) 1) (+.f64 (pow.f64 (fma.f64 eps x x) 2) (+.f64 (/.f64 (fma.f64 eps x x) eps) (pow.f64 eps -2))))
(/.f64 (-.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3)) (+.f64 (pow.f64 (fma.f64 eps x x) 2) (+.f64 (pow.f64 eps -2) (/.f64 (fma.f64 eps x x) eps))))
(/.f64 (-.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3)) (+.f64 (pow.f64 eps -2) (+.f64 (pow.f64 (fma.f64 eps x x) 2) (/.f64 (fma.f64 eps x x) eps))))
(/.f64 (/.f64 (-.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 eps x x) 2) (+.f64 (/.f64 (fma.f64 eps x x) eps) (pow.f64 eps -2))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 eps x x) 2) (+.f64 (/.f64 (fma.f64 eps x x) eps) (pow.f64 eps -2)))))
(/.f64 (-.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3)) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 eps x x) 2) (+.f64 (pow.f64 eps -2) (/.f64 (fma.f64 eps x x) eps)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 eps x x) 2) (+.f64 (pow.f64 eps -2) (/.f64 (fma.f64 eps x x) eps))))))
(/.f64 (-.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3)) (*.f64 (sqrt.f64 (+.f64 (pow.f64 eps -2) (+.f64 (pow.f64 (fma.f64 eps x x) 2) (/.f64 (fma.f64 eps x x) eps)))) (sqrt.f64 (+.f64 (pow.f64 eps -2) (+.f64 (pow.f64 (fma.f64 eps x x) 2) (/.f64 (fma.f64 eps x x) eps))))))
(/.f64 (/.f64 (-.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 eps x x) 2) (+.f64 (/.f64 (fma.f64 eps x x) eps) (pow.f64 eps -2)))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 eps x x) 2) (+.f64 (/.f64 (fma.f64 eps x x) eps) (pow.f64 eps -2)))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 eps x x) 2) (+.f64 (/.f64 (fma.f64 eps x x) eps) (pow.f64 eps -2)))))
(/.f64 (-.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 eps x x) 2) (+.f64 (pow.f64 eps -2) (/.f64 (fma.f64 eps x x) eps)))) (.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 eps x x) 2) (+.f64 (pow.f64 eps -2) (/.f64 (fma.f64 eps x x) eps)))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 eps x x) 2) (+.f64 (pow.f64 eps -2) (/.f64 (fma.f64 eps x x) eps)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 eps x x) 3)) (cbrt.f64 (+.f64 (pow.f64 eps -2) (+.f64 (pow.f64 (fma.f64 eps x x) 2) (/.f64 (fma.f64 eps x x) eps))))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 eps -2) (+.f64 (pow.f64 (fma.f64 eps x x) 2) (/.f64 (fma.f64 eps x x) eps)))) (cbrt.f64 (+.f64 (pow.f64 eps -2) (+.f64 (pow.f64 (fma.f64 eps x x) 2) (/.f64 (fma.f64 eps x x) eps))))))
(pow.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)) 1)
(-.f64 (/.f64 1 eps) (fma.f64 eps x x))
(pow.f64 (sqrt.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x))) 2)
(-.f64 (/.f64 1 eps) (fma.f64 eps x x))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x))) 3)
(-.f64 (/.f64 1 eps) (fma.f64 eps x x))
(pow.f64 (pow.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)) 3) 1/3)
(-.f64 (/.f64 1 eps) (fma.f64 eps x x))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x))))
(-.f64 (/.f64 1 eps) (fma.f64 eps x x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))))
(-.f64 (/.f64 1 eps) (fma.f64 eps x x))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)) 3))
(-.f64 (/.f64 1 eps) (fma.f64 eps x x))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x))))
(-.f64 (/.f64 1 eps) (fma.f64 eps x x))
(exp.f64 (log.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x))))
(-.f64 (/.f64 1 eps) (fma.f64 eps x x))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x))) 1))
(-.f64 (/.f64 1 eps) (fma.f64 eps x x))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x))))
(-.f64 (/.f64 1 eps) (fma.f64 eps x x))
(fma.f64 1 (/.f64 1 eps) (neg.f64 (fma.f64 eps x x)))
(-.f64 (/.f64 1 eps) (fma.f64 eps x x))
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) (neg.f64 (fma.f64 eps x x)))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) (neg.f64 (fma.f64 eps x x)))

eval1.5s (7.5%)

Compiler: Compiled 67883 to 42978 computations (36.7% saved)

prune1.1s (5.6%)

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	1850	8	1858
Fresh	2	10	12
Picked	1	0	1
Done	3	3	6
Total	1856	21	1877

Error

0.0b

Counts

1877 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	16.6b	(/.f64 (-.f64 (+.f64 1 (-.f64 (.f64 eps x) x)) (neg.f64 (exp.f64 (neg.f64 (.f64 eps x))))) 2)
	16.6b	(/.f64 (-.f64 (+.f64 1 (-.f64 (*.f64 eps x) x)) (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)))) 2)
	16.3b	(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
	16.4b	(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 1)) 2)
	54.9b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)) 1)) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (sqrt.f64 (+.f64 x (.f64 x eps)))) (sqrt.f64 (+.f64 x (.f64 x eps)))))) 2)
	29.8b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (-.f64 0 (exp.f64 (log1p.f64 (.f64 (-.f64 1 eps) x)))) 1))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
	0.7b	(/.f64 (-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (neg.f64 (/.f64 1 (exp.f64 (fma.f64 x eps x))))) 2)
	16.0b	(/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (/.f64 1 (+.f64 1 (.f64 (+.f64 eps 1) x))))) 2)
	16.6b	(/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (+.f64 1 (neg.f64 (.f64 x (+.f64 1 eps)))))) 2)
	16.6b	(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (neg.f64 1)) 2)
	0.7b	(/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (exp.f64 (-.f64 (.f64 eps x) x))) 2)
	16.3b	(/.f64 (+.f64 2 (*.f64 x eps)) 2)
	61.8b	(/.f64 (*.f64 (neg.f64 eps) x) 2)
✓	61.7b	(/.f64 (*.f64 x eps) 2)
✓	16.1b	(/.f64 2 2)
	49.0b	(*.f64 1/2 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (exp.f64 (-.f64 (/.f64 1 eps) (fma.f64 eps x x)))))))) 3))
	47.9b	(.f64 1/2 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (exp.f64 (.f64 (neg.f64 eps) x))))) 3))
	34.3b	(.f64 1/2 (+.f64 2 (neg.f64 (.f64 (+.f64 1 eps) (*.f64 x (-.f64 1 (/.f64 1 eps)))))))
	16.6b	(*.f64 1/2 (+.f64 1 (/.f64 1 (exp.f64 (fma.f64 eps x x)))))
	16.6b	(.f64 1/2 (+.f64 1 (exp.f64 (.f64 x (-.f64 -1 eps)))))
✓	46.7b	(*.f64 1/2 0)

Compiler

Compiled 361 to 281 computations (22.2% saved)

regimes139.0ms (0.7%)

Counts

47 → 1

Calls

Call 1

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

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

Calls

4 calls:

42.0ms	eps
39.0ms	x
8.0ms	(/.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)
8.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))

Results

Error	Segments	Branch
0.7b	1	`x`
0.7b	1	`eps`
0.7b	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)`
0.7b	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 1055 to 733 computations (30.5% saved)

regimes76.0ms (0.4%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

2 calls:

32.0ms	x
26.0ms	eps

Results

Error	Segments	Branch
0.7b	1	`x`
0.7b	1	`eps`

Compiler

Compiled 402 to 297 computations (26.1% saved)

regimes153.0ms (0.7%)

Counts

23 → 2

Calls

Call 1

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

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

Calls

2 calls:

74.0ms	x
63.0ms	eps

Results

Error	Segments	Branch
0.7b	2	`x`
14.8b	3	`eps`

Compiler

Compiled 369 to 275 computations (25.5% saved)

bsearch129.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
129.0ms	2.2267654223249803e-7	180481138.2927397

Results

68.0ms	82×	body	1024	valid
23.0ms	45×	body	512	valid
15.0ms	57×	body	256	infinite
12.0ms	10×	body	2048	valid
6.0ms	23×	body	256	valid

Compiler

Compiled 306 to 259 computations (15.4% saved)

regimes73.0ms (0.4%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

2 calls:

38.0ms	eps
25.0ms	x

Results

Error	Segments	Branch
0.8b	2	`x`
14.8b	3	`eps`

Compiler

Compiled 135 to 105 computations (22.2% saved)

bsearch143.0ms (0.7%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
143.0ms	2.2267654223249803e-7	180481138.2927397

Results

81.0ms	92×	body	1024	valid
17.0ms	12×	body	2048	valid
16.0ms	29×	body	512	valid
16.0ms	58×	body	256	infinite
8.0ms	27×	body	256	valid

Compiler

Compiled 246 to 219 computations (11% saved)

regimes42.0ms (0.2%)

Accuracy

Total -61.5b remaining (-7704.6%)

Threshold costs -61.5b (-7704.6%)

Counts

5 → 2

Calls

Call 1

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

Outputs
(/.f64 2 2)
(*.f64 1/2 0)

Calls

2 calls:

24.0ms	eps
15.0ms	x

Results

Error	Segments	Branch
0.8b	2	`x`
14.8b	3	`eps`

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch132.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
132.0ms	2.2267654223249803e-7	180481138.2927397

Results

79.0ms	91×	body	1024	valid
13.0ms	24×	body	512	valid
13.0ms	48×	body	256	infinite
12.0ms	38×	body	256	valid
10.0ms	7×	body	2048	valid

Compiler

Compiled 156 to 149 computations (4.5% saved)

simplify35.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

118×	`*-commutative`
106×	`distribute-lft-neg-in`
66×	`+-commutative`
52×	`neg-sub0`
50×	`distribute-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	220
1	71	212
2	101	212
3	135	212
4	167	212
5	194	212
6	227	212
7	275	212
8	334	212
9	357	212
10	363	212

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.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 (exp.f64 (.f64 x (-.f64 -1 eps))) (exp.f64 (-.f64 (.f64 eps x) x))) 2)
(if (<=.f64 x 7/4) (/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2) (.f64 1/2 0))
(if (<=.f64 x 2) (/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 1)) 2) (*.f64 1/2 0))
(if (<=.f64 x 360) (/.f64 2 2) (*.f64 1/2 0))
(*.f64 1/2 0)

Outputs
(/.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 x 1) (exp.f64 (neg.f64 x))) (.f64 (+.f64 x 1) (neg.f64 (exp.f64 (neg.f64 x))))) 2)
(/.f64 (+.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) 2)
(/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (exp.f64 (-.f64 (.f64 eps x) x))) 2)
(/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (exp.f64 (-.f64 (.f64 x eps) x))) 2)
(if (<=.f64 x 7/4) (/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2) (.f64 1/2 0))
(if (<=.f64 x 7/4) (/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (*.f64 (+.f64 x 1) (neg.f64 (exp.f64 (neg.f64 x))))) 2) 0)
(if (<=.f64 x 7/4) (/.f64 (+.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (+.f64 1 (.f64 -1/2 (*.f64 x x)))) 2) 0)
(if (<=.f64 x 2) (/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 1)) 2) (*.f64 1/2 0))
(if (<=.f64 x 2) (/.f64 (+.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) 1) 2) 0)
(if (<=.f64 x 2) (/.f64 (+.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x)))) 2) 0)
(if (<=.f64 x 360) (/.f64 2 2) (*.f64 1/2 0))
(if (<=.f64 x 360) 1 0)
(*.f64 1/2 0)
0

Compiler

Compiled 89 to 69 computations (22.5% saved)

soundness882.0ms (4.3%)

Algorithm

5×	egg-herbie

Rules

1306×	`fma-def`
1206×	`associate-*r/`
1196×	`associate-/l*`
1196×	`associate-/l*`
1154×	`+-commutative`

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	792	35706
1	2160	29944
0	89	824
1	211	784
2	588	770
3	2579	720
4	6072	720
0	22	89
1	60	89
2	162	73
3	511	73
4	1723	73
0	390	9187
1	1168	8539
2	5222	8315

Stop Event

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

Compiler

Compiled 735 to 557 computations (24.2% saved)

end101.0ms (0.5%)

Compiler: Compiled 79 to 56 computations (29.1% saved)

Iter	Nodes	Cost
0	47	220
1	71	212
2	101	212
3	135	212
4	167	212
5	194	212
6	227	212
7	275	212
8	334	212
9	357	212
10	363	212

Iter	Nodes	Cost
0	47	220
1	71	212
2	101	212
3	135	212
4	167	212
5	194	212
6	227	212
7	275	212
8	334	212
9	357	212
10	363	212

Iter	Nodes	Cost
0	47	220
1	71	212
2	101	212
3	135	212
4	167	212
5	194	212
6	227	212
7	275	212
8	334	212
9	357	212
10	363	212