Details

analyze136.0ms (1%)

Algorithm

1×

Search

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

Compiler

Compiled 32 to 26 computations (18.8% saved)

sample3.4s (24%)

Results

1.3s	2034×	body	1024	valid
1.2s	4911×	body	256	valid
412.0ms	1072×	body	512	valid
242.0ms	239×	body	2048	valid
93.0ms	471×	body	256	infinite
93.0ms	421×	body	256	unsamplable
11.0ms	23×	body	1024	infinite
4.0ms	13×	body	512	infinite

Bogosity

preprocess52.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	178
1	106	178
2	302	146
3	950	146
4	3341	146
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

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

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

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

Compiler

Compiled 33 to 27 computations (18.2% saved)

simplify41.0ms (0.3%)

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

25.4b

Counts

7 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	25.4b	(/.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)
▶	25.4b	(*.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

▶

25.4b

(/.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)

▶

25.4b

(*.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)

localize34.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
✓	4.1b	(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 (0.1%)

Counts

2 → 48

Calls

12 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	@	inf	(/.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))))

rewrite76.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

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

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

simplify98.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

109 → 157

Calls

Call 1

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

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

localize50.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x))))
✓	0.0b	(*.f64 (+.f64 1 eps) (neg.f64 x))
✓	0.0b	(*.f64 (-.f64 1 eps) (neg.f64 x))
✓	1.7b	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x)))))

Compiler

Compiled 136 to 92 computations (32.4% saved)

series18.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(*.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)))))
2.0ms	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)))))

rewrite175.0ms (1.2%)

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	156
1	443	130
2	6105	130

Stop Event

1×	node limit

Counts

4 → 352

Calls

Call 1

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

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

simplify393.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

978×	`associate-+r+`
954×	`+-commutative`
782×	`associate-r`
774×	`associate-+l+`
604×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	928	40360
1	2512	35840

Stop Event

1×	node limit

Counts

448 → 587

Calls

Call 1

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

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

eval834.0ms (5.9%)

Compiler: Compiled 37137 to 26522 computations (28.6% saved)

prune174.0ms (1.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	733	11	744
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	735	11	746

Error

0.0b

Counts

746 → 11

Alt Table

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Status	Error	Program
▶	42.1b	(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (-.f64 (.f64 x eps) x) (+.f64 1 (/.f64 1 eps)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
	0.8b	(/.f64 (-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (exp.f64 (.f64 -1 x))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (.f64 -1 x))))) 2)
	25.4b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (.f64 x eps) x))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
	25.4b	(/.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 0 (exp.f64 (log1p.f64 (+.f64 x (.f64 x eps))))) 1)))) 2)
▶	1.4b	(/.f64 (-.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
	0.8b	(/.f64 (+.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (.f64 1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
	17.5b	(/.f64 2 2)
	13.2b	(.f64 1/2 (+.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (fma.f64 (.f64 eps eps) (-.f64 (fma.f64 1/2 (/.f64 (.f64 x x) (exp.f64 x)) (.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))) (fma.f64 1/2 (.f64 x (.f64 x (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) (-.f64 (/.f64 (.f64 (pow.f64 x 3) -1/6) (exp.f64 x)) (.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 x (exp.f64 x))))
▶	25.4b	(.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 eps x x)))))
▶	0.8b	(.f64 1/2 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 x (exp.f64 x)) (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))))
▶	46.5b	(*.f64 1/2 0)

Compiler

Compiled 698 to 468 computations (33% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 72 to 29 computations (59.7% saved)

series3.0ms (0%)

Counts

4 → 40

Calls

12 calls:

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

rewrite111.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1468×	`associate-/r*`
1296×	`associate-/l*`
550×	`associate-/r/`
394×	`associate-+l+`
296×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	120
1	285	82
2	4281	82

Stop Event

1×	node limit

Counts

4 → 292

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) (.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.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 (exp.f64 (log1p.f64 (.f64 x (exp.f64 x)))) (-.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (-.f64 1 (.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (exp.f64 x)) (-.f64 (.f64 x (exp.f64 x)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 x) (exp.f64 (log1p.f64 (.f64 x (exp.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 x) (/.f64 0 (exp.f64 x))) (.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 x (exp.f64 x)) (exp.f64 (log1p.f64 (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (+.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 (exp.f64 x) (+.f64 x -1)) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 (exp.f64 x) (fma.f64 x x (+.f64 x 1))) (+.f64 1 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x 1) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x 1) (pow.f64 (exp.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x 1) (/.f64 (.f64 (exp.f64 x) (+.f64 x -1)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 x) (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 x) (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (pow.f64 (exp.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (pow.f64 (exp.f64 x) 2) (.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 1 (sqrt.f64 x)) (/.f64 (exp.f64 x) (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 1 (sqrt.f64 x)) (/.f64 (pow.f64 (exp.f64 x) 2) (.f64 (hypot.f64 1 (sqrt.f64 x)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) 2) (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (exp.f64 x) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (pow.f64 (exp.f64 x) 2) (.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2) (/.f64 (pow.f64 (exp.f64 x) 2) (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (/.f64 (pow.f64 (exp.f64 x) 2) (.f64 (cbrt.f64 (exp.f64 x)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1) (.f64 (exp.f64 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1) (/.f64 (exp.f64 x) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1) (/.f64 (+.f64 x -1) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1) (/.f64 (.f64 (+.f64 x -1) (exp.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 1 (pow.f64 x 3)) (/.f64 (exp.f64 x) (/.f64 1 (fma.f64 x x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 (fma.f64 x x (+.f64 x 1)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 (.f64 (fma.f64 x x (+.f64 x 1)) (exp.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x x -1)) (/.f64 (.f64 (exp.f64 x) (+.f64 x -1)) (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (/.f64 (.f64 (exp.f64 x) (fma.f64 x x (+.f64 x 1))) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1))) (/.f64 (.f64 (exp.f64 x) (+.f64 x -1)) (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (/.f64 (.f64 (exp.f64 x) (fma.f64 x x (+.f64 x 1))) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x 1) (sqrt.f64 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (pow.f64 (exp.f64 x) 2) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (exp.f64 x) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (pow.f64 (exp.f64 x) 2) (cbrt.f64 (+.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 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(exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (.f64 (exp.f64 x) (sqrt.f64 (exp.f64 x)))) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))) (cbrt.f64 (exp.f64 x)))))) (#(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 (.f64 (exp.f64 x) (fma.f64 x x -1)) 1) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (exp.f64 x) (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 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simplify200.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

960×	`associate-r`
930×	`associate-/l*`
690×	`associate-l`
616×	`times-frac`
598×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	752	17836
1	1972	16328

Stop Event

1×	node limit

Counts

332 → 530

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

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

localize3.0ms (0%)

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

localize46.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 x eps) x)
✓	0.0b	(+.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (-.f64 (.f64 x eps) x) (+.f64 1 (/.f64 1 eps))))
✓	0.2b	(.f64 (-.f64 (.f64 x eps) x) (+.f64 1 (/.f64 1 eps)))
✓	2.7b	(-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (-.f64 (.f64 x eps) x) (+.f64 1 (/.f64 1 eps)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x)))))

Compiler

Compiled 151 to 93 computations (38.4% saved)

series12.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite154.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

802×	`associate-+r+`
610×	`+-commutative`
488×	`add-sqr-sqrt`
482×	`pow1`
482×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	162
1	467	134
2	7164	134

Stop Event

1×	node limit

Counts

4 → 271

Calls

Call 1

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

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

simplify208.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1180×	`associate-r`
1082×	`associate-l`
860×	`+-commutative`
856×	`associate-+l+`
844×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	718	21419
1	2088	20559

Stop Event

1×	node limit

Counts

367 → 496

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

localize37.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 103 to 77 computations (25.2% saved)

series4.0ms (0%)

Counts

3 → 44

Calls

18 calls:

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

rewrite140.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1932×	`associate-*r/`
1614×	`associate-*l/`
360×	`add-sqr-sqrt`
354×	`pow1`
354×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	73
1	361	65
2	4846	65

Stop Event

1×	node limit

Counts

3 → 363

Calls

Call 1

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

Outputs

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

simplify195.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1190×	`associate-/l*`
948×	`associate-r`
884×	`associate-l`
670×	`+-commutative`
576×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	873	21395
1	2248	19677

Stop Event

1×	node limit

Counts

407 → 556

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (.f64 -1 x)) (.f64 -1 (exp.f64 (*.f64 -1 x))))
(-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 x))))
(*.f64 2 (exp.f64 (neg.f64 x)))
(-.f64 (+.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))) (.f64 -1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))))) (.f64 -1 (exp.f64 (.f64 -1 x))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (.f64 (.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)) 1) (*.f64 eps eps)) (neg.f64 (exp.f64 (neg.f64 x)))))
(+.f64 (.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)) (.f64 eps eps)) (*.f64 2 (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (.f64 (pow.f64 eps 4) (-.f64 (.f64 1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4))) (.f64 -1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4))))) (+.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))) (.f64 -1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))))))) (.f64 -1 (exp.f64 (*.f64 -1 x))))
(-.f64 (fma.f64 (pow.f64 eps 4) (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) 1/12) (+.f64 (exp.f64 (neg.f64 x)) (.f64 (.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)) 1) (*.f64 eps eps)))) (neg.f64 (exp.f64 (neg.f64 x))))
(+.f64 (+.f64 (.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)) (.f64 eps eps)) (.f64 2 (exp.f64 (neg.f64 x)))) (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (.f64 1/12 (pow.f64 eps 4))))
(-.f64 (+.f64 (.f64 (pow.f64 eps 4) (-.f64 (.f64 1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4))) (.f64 -1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4))))) (+.f64 (.f64 (pow.f64 eps 6) (-.f64 (.f64 1/720 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 6))) (.f64 -1/720 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 6))))) (+.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))) (.f64 -1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))))))) (.f64 -1 (exp.f64 (.f64 -1 x))))
(-.f64 (fma.f64 (pow.f64 eps 4) (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) 1/12) (fma.f64 (pow.f64 eps 6) (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) 1/360) (+.f64 (exp.f64 (neg.f64 x)) (.f64 (.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)) 1) (*.f64 eps eps))))) (neg.f64 (exp.f64 (neg.f64 x))))
(+.f64 (+.f64 (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (.f64 1/12 (pow.f64 eps 4))) (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) (.f64 1/360 (pow.f64 eps 6)))) (+.f64 (.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)) (.f64 eps eps)) (*.f64 2 (exp.f64 (neg.f64 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 (exp.f64 (+.f64 (neg.f64 x) (.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 (neg.f64 eps)))))))
(-.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (neg.f64 (exp.f64 (.f64 x (-.f64 -1 eps)))))
(-.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 (exp.f64 (+.f64 (neg.f64 x) (.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 (neg.f64 eps)))))))
(-.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (neg.f64 (exp.f64 (.f64 x (-.f64 -1 eps)))))
(-.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 (exp.f64 (+.f64 (neg.f64 x) (.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 (neg.f64 eps)))))))
(-.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (neg.f64 (exp.f64 (.f64 x (-.f64 -1 eps)))))
(-.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 (exp.f64 (+.f64 (neg.f64 x) (.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 (neg.f64 eps)))))))
(-.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (neg.f64 (exp.f64 (.f64 x (-.f64 -1 eps)))))
2
(+.f64 (.f64 (-.f64 (.f64 -1 (-.f64 1 eps)) (+.f64 1 eps)) x) 2)
(fma.f64 (-.f64 (neg.f64 (-.f64 1 eps)) (+.f64 eps 1)) x 2)
(fma.f64 (fma.f64 -1 (-.f64 1 eps) (-.f64 -1 eps)) x 2)
(+.f64 (.f64 (-.f64 (.f64 -1 (-.f64 1 eps)) (+.f64 1 eps)) x) (+.f64 2 (.f64 (-.f64 (.f64 1/2 (pow.f64 (-.f64 1 eps) 2)) (*.f64 -1/2 (pow.f64 (+.f64 eps 1) 2))) (pow.f64 x 2))))
(+.f64 (fma.f64 (-.f64 (neg.f64 (-.f64 1 eps)) (+.f64 eps 1)) x 2) (.f64 (.f64 x x) (-.f64 (.f64 1/2 (pow.f64 (-.f64 1 eps) 2)) (.f64 -1/2 (pow.f64 (+.f64 eps 1) 2)))))
(+.f64 (fma.f64 (fma.f64 -1 (-.f64 1 eps) (-.f64 -1 eps)) x 2) (.f64 (.f64 x x) (*.f64 1/2 (+.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 (+.f64 eps 1) 2)))))
(+.f64 (.f64 (-.f64 (.f64 -1 (-.f64 1 eps)) (+.f64 1 eps)) x) (+.f64 2 (+.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (-.f64 1 eps) 3)) (.f64 1/6 (pow.f64 (+.f64 eps 1) 3))) (pow.f64 x 3)) (.f64 (-.f64 (.f64 1/2 (pow.f64 (-.f64 1 eps) 2)) (.f64 -1/2 (pow.f64 (+.f64 eps 1) 2))) (pow.f64 x 2)))))
(+.f64 (fma.f64 (-.f64 (neg.f64 (-.f64 1 eps)) (+.f64 eps 1)) x 2) (fma.f64 (-.f64 (.f64 -1/6 (pow.f64 (-.f64 1 eps) 3)) (.f64 1/6 (pow.f64 (+.f64 eps 1) 3))) (pow.f64 x 3) (.f64 (.f64 x x) (-.f64 (.f64 1/2 (pow.f64 (-.f64 1 eps) 2)) (.f64 -1/2 (pow.f64 (+.f64 eps 1) 2))))))
(+.f64 (fma.f64 (fma.f64 -1 (-.f64 1 eps) (-.f64 -1 eps)) x 2) (fma.f64 (.f64 -1/6 (+.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 (+.f64 eps 1) 3))) (pow.f64 x 3) (.f64 (.f64 x x) (.f64 1/2 (+.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 (+.f64 eps 1) 2))))))
x
(+.f64 (.f64 -1 (.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(+.f64 (.f64 -1 (.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(+.f64 (.f64 -1 (.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(.f64 -1 (.f64 eps x))
(neg.f64 (*.f64 x eps))
(*.f64 (neg.f64 x) eps)
(+.f64 (.f64 -1 (.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(+.f64 (.f64 -1 (.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(+.f64 (.f64 -1 (.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(.f64 -1 (.f64 eps x))
(neg.f64 (*.f64 x eps))
(*.f64 (neg.f64 x) eps)
(+.f64 (.f64 -1 (.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(+.f64 (.f64 -1 (.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(+.f64 (.f64 -1 (.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
x
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(*.f64 eps x)
(*.f64 x eps)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(*.f64 eps x)
(*.f64 x eps)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 x eps x)
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 1 eps)) x))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps 1)) x))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (fma.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) -1 (pow.f64 (exp.f64 (+.f64 1 eps)) x))))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps 1)) x)) (fma.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x) -1 (pow.f64 (exp.f64 (+.f64 eps 1)) x)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (fma.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) 1 (pow.f64 (exp.f64 (+.f64 1 eps)) x))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x) (fma.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x) 1 (pow.f64 (exp.f64 (+.f64 eps 1)) x))))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps 1)) x)) (*.f64 2 (pow.f64 (exp.f64 (+.f64 eps 1)) x)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (fma.f64 1 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (pow.f64 (exp.f64 (+.f64 1 eps)) x))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x) (fma.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x) 1 (pow.f64 (exp.f64 (+.f64 eps 1)) x))))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps 1)) x)) (*.f64 2 (pow.f64 (exp.f64 (+.f64 eps 1)) x)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x))) (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)) (pow.f64 (exp.f64 (+.f64 1 eps)) x))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x))) (sqrt.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x)) (pow.f64 (exp.f64 (+.f64 eps 1)) x))))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps 1)) x)) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x))) (sqrt.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x)) (pow.f64 (exp.f64 (+.f64 eps 1)) x)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 2) (pow.f64 (exp.f64 (+.f64 1 eps)) x))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x)) 2) (pow.f64 (exp.f64 (+.f64 eps 1)) x))))
(+.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps 1)) x))
(+.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (fma.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) -1 (pow.f64 (exp.f64 (+.f64 1 eps)) x))))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps 1)) x)) (fma.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x) -1 (pow.f64 (exp.f64 (+.f64 eps 1)) x)))
(+.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (fma.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) 1 (pow.f64 (exp.f64 (+.f64 1 eps)) x))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x) (fma.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x) 1 (pow.f64 (exp.f64 (+.f64 eps 1)) x))))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps 1)) x)) (*.f64 2 (pow.f64 (exp.f64 (+.f64 eps 1)) x)))
(+.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (fma.f64 1 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (pow.f64 (exp.f64 (+.f64 1 eps)) x))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x) (fma.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x) 1 (pow.f64 (exp.f64 (+.f64 eps 1)) x))))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps 1)) x)) (*.f64 2 (pow.f64 (exp.f64 (+.f64 eps 1)) x)))
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(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 x eps))))
(fma.f64 x eps x)
(exp.f64 (+.f64 (log1p.f64 eps) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 eps) (log.f64 x)) 1))
(exp.f64 (+.f64 (log1p.f64 eps) (log.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 x eps))))
(fma.f64 x eps x)

localize42.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (+.f64 1 (/.f64 1 eps)))
	0.0b	(-.f64 (*.f64 x eps) x)
	0.0b	(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
✓	2.9b	(+.f64 (.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (+.f64 1 (/.f64 1 eps))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))

Compiler

Compiled 119 to 56 computations (52.9% saved)

series36.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
25.0ms	x	@	-inf	(+.f64 (.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (+.f64 1 (/.f64 1 eps))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
5.0ms	x	@	0	(.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (+.f64 1 (/.f64 1 eps)))
2.0ms	x	@	0	(+.f64 (.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (+.f64 1 (/.f64 1 eps))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
1.0ms	x	@	inf	(+.f64 (.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (+.f64 1 (/.f64 1 eps))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
1.0ms	eps	@	0	(+.f64 (.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (+.f64 1 (/.f64 1 eps))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))

rewrite129.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1198×	`associate-/l*`
492×	`associate-+l+`
450×	`add-sqr-sqrt`
444×	`pow1`
444×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	102
1	442	98
2	6276	98

Stop Event

1×	node limit

Counts

2 → 92

Calls

Call 1

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

Outputs

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simplify125.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1302×	`associate-*r/`
1080×	`associate-*l/`
860×	`associate--l+`
652×	`associate--r+`
492×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	399	11290
1	1186	10578
2	4644	10422

Stop Event

1×	node limit

Counts

140 → 213

Calls

Call 1

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

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

eval1.9s (13.5%)

Compiler: Compiled 71523 to 43197 computations (39.6% saved)

prune714.0ms (5%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	1964	14	1978
Fresh	3	3	6
Picked	1	0	1
Done	3	1	4
Total	1971	18	1989

Error

Counts

1989 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	17.6b	(/.f64 (-.f64 (+.f64 1 (+.f64 (.f64 eps x) (+.f64 (.f64 -1 x) x))) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
▶	25.4b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (.f64 x eps) x))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
	1.4b	(/.f64 (-.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (neg.f64 (exp.f64 (.f64 x (-.f64 -1 eps))))) 2)
	1.4b	(/.f64 (-.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) (.f64 -1 (exp.f64 (.f64 -1 (-.f64 (+.f64 (*.f64 x eps) (exp.f64 (log1p.f64 x))) 1))))) 2)
	17.8b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (-.f64 1 eps)) (+.f64 1 eps)) x) 2) 2)
	0.8b	(/.f64 (+.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (.f64 1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
	11.8b	(/.f64 (+.f64 (.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)) (.f64 eps eps)) (*.f64 2 (exp.f64 (neg.f64 x)))) 2)
	61.7b	(/.f64 (*.f64 x eps) 2)
▶	17.5b	(/.f64 2 2)
▶	0.8b	(.f64 1/2 (-.f64 (/.f64 2 (exp.f64 x)) (.f64 x (*.f64 (exp.f64 (neg.f64 x)) -2))))
	17.6b	(.f64 1/2 (-.f64 2 (.f64 x x)))
	17.5b	(.f64 1/2 (+.f64 (-.f64 2 (.f64 x x)) (*.f64 (pow.f64 x 3) 2/3)))
▶	0.8b	(.f64 1/2 (+.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))) x) (*.f64 2 (exp.f64 (neg.f64 x)))))
	42.0b	(.f64 1/2 (+.f64 (.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (+.f64 1 (/.f64 1 eps))) (+.f64 1 (-.f64 (neg.f64 (.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 x (+.f64 1 eps)))) (/.f64 1 eps)))))
	0.8b	(*.f64 1/2 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 x (exp.f64 x)) (/.f64 (+.f64 x 1) (exp.f64 x)))))
	0.8b	(*.f64 1/2 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 x (exp.f64 x)) (/.f64 1 (/.f64 (exp.f64 x) (+.f64 x 1))))))
▶	46.1b	(.f64 1/2 (.f64 x (/.f64 2 (exp.f64 x))))
✓	46.5b	(*.f64 1/2 0)

Compiler

Compiled 639 to 485 computations (24.1% saved)

localize23.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 74 to 35 computations (52.7% saved)

series3.0ms (0%)

Counts

3 → 21

Calls

9 calls:

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

rewrite62.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1520×	`associate-*r/`
962×	`associate-*l/`
852×	`*-commutative`
418×	`associate-/r*`
276×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	67
1	303	31
2	3847	7

Stop Event

1×	node limit

Counts

3 → 34

Calls

Call 1

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

Outputs

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

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

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

simplify68.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1416×	`associate-r`
1178×	`associate-l`
802×	`associate-+r+`
778×	`distribute-lft-out`
550×	`distribute-lft-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	117	885
1	264	723
2	960	687
3	5091	681

Stop Event

1×	node limit

Counts

55 → 83

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 15 computations (40% saved)

series2.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite56.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1564×	`add-sqr-sqrt`
1542×	`*-un-lft-identity`
1436×	`add-cube-cbrt`
1418×	`add-cbrt-cube`
1402×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	164	28
2	1953	28

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

Outputs

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

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

simplify56.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

872×	`unswap-sqr`
856×	`associate-*r/`
584×	`distribute-lft-neg-out`
558×	`fma-def`
552×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	118	1144
1	294	1018
2	1202	870
3	5386	870

Stop Event

1×	node limit

Counts

58 → 74

Calls

Call 1

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

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

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 55 to 29 computations (47.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite154.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1218×	`associate-*r/`
1014×	`*-commutative`
950×	`associate-*l/`
566×	`associate-/r*`
486×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	58
1	278	46
2	3728	46

Stop Event

1×	node limit

Counts

2 → 215

Calls

Call 1

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

Outputs

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(cbrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (*.f64 (exp.f64 x) -2)) (log.f64 (sqrt.f64 (exp.f64 x)))) (*.f64 (neg.f64 (*.f64 (exp.f64 x) -2)) (log.f64 (sqrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x (*.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (exp.f64 x) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (exp.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (neg.f64 (*.f64 (exp.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -2) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -2) (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (neg.f64 (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 2) (exp.f64 x))))) (#(struct:change 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (exp.f64 x) -2)) (*.f64 (exp.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (exp.f64 x) -2)) (+.f64 (*.f64 (exp.f64 x) -2) (fma.f64 (neg.f64 (*.f64 (exp.f64 x) -2)) x (*.f64 x (*.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (exp.f64 x) -2)) (+.f64 (*.f64 (exp.f64 x) -2) (fma.f64 x (*.f64 (exp.f64 x) -2) (*.f64 x (*.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (exp.f64 x) -2)) (+.f64 (*.f64 (exp.f64 x) -2) (fma.f64 (*.f64 x (*.f64 (exp.f64 x) -2)) 1 (*.f64 x (*.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (exp.f64 x) -2)) (+.f64 (*.f64 (exp.f64 x) -2) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (*.f64 (exp.f64 x) -2)))) (sqrt.f64 (*.f64 x (*.f64 (exp.f64 x) -2))) (*.f64 x (*.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (exp.f64 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simplify145.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1194×	`fma-def`
770×	`associate-r`
760×	`associate-/l*`
736×	`associate-l`
708×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	536	15341
1	1508	13291

Stop Event

1×	node limit

Counts

239 → 359

Calls

Call 1

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

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

localize46.0ms (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 x eps) x)
✓	0.0b	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (.f64 x eps) x)))
✓	1.7b	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (.f64 x eps) x))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x)))))

Compiler

Compiled 131 to 74 computations (43.5% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite130.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

626×	`associate-+l+`
460×	`add-sqr-sqrt`
454×	`pow1`
454×	`*-un-lft-identity`
444×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	114
1	448	92
2	6414	92

Stop Event

1×	node limit

Counts

2 → 185

Calls

Call 1

Inputs

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (/.f64 1 eps)) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (*.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (/.f64 1 eps)) (+.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))) (+.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1)) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (*.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))) (+.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))) (+.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1)) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (/.f64 1 eps)) (*.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (*.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))) (*.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (+.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))) (+.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1)) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (+.f64 (+.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))) (+.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1)) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))))) (+.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1)) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (+.f64 (*.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))) 1) (+.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1)) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (fma.f64 eps x x) 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simplify264.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1372×	`associate--r+`
1144×	`fma-def`
920×	`associate-+r+`
762×	`+-commutative`
698×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	536	26533
1	1536	22245
2	6516	21637

Stop Event

1×	node limit

Counts

233 → 366

Calls

Call 1

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

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

eval740.0ms (5.2%)

Compiler: Compiled 41227 to 24484 computations (40.6% saved)

prune290.0ms (2%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	1124	7	1131
Fresh	3	9	12
Picked	0	1	1
Done	3	2	5
Total	1130	19	1149

Error

Counts

1149 → 19

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.6b	(/.f64 (-.f64 (+.f64 1 (+.f64 (.f64 eps x) (+.f64 (.f64 -1 x) x))) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
✓	25.4b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (.f64 x eps) x))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
	1.4b	(/.f64 (-.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (neg.f64 (exp.f64 (.f64 x (-.f64 -1 eps))))) 2)
	1.4b	(/.f64 (-.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) (.f64 -1 (exp.f64 (.f64 -1 (-.f64 (+.f64 (*.f64 x eps) (exp.f64 (log1p.f64 x))) 1))))) 2)
▶	17.8b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (-.f64 1 eps)) (+.f64 1 eps)) x) 2) 2)
	11.8b	(/.f64 (+.f64 (.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)) (.f64 eps eps)) (*.f64 2 (exp.f64 (neg.f64 x)))) 2)
✓	17.5b	(/.f64 2 2)
	46.1b	(*.f64 1/2 (/.f64 2 (/.f64 (exp.f64 x) x)))
▶	0.8b	(.f64 1/2 (-.f64 (/.f64 2 (exp.f64 x)) (/.f64 (.f64 x -2) (exp.f64 x))))
	17.8b	(*.f64 1/2 (-.f64 (/.f64 2 (exp.f64 x)) (/.f64 x 1/2)))
	17.6b	(.f64 1/2 (-.f64 2 (.f64 x x)))
	42.0b	(.f64 1/2 (+.f64 (.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (+.f64 1 (/.f64 1 eps))) (+.f64 1 (-.f64 (neg.f64 (.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 x (+.f64 1 eps)))) (/.f64 1 eps)))))
▶	0.8b	(*.f64 1/2 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 x (exp.f64 x)) (/.f64 (+.f64 x 1) (exp.f64 x)))))
	0.8b	(*.f64 1/2 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 x (exp.f64 x)) (/.f64 1 (/.f64 (exp.f64 x) (+.f64 x 1))))))
▶	61.8b	(*.f64 1/2 (+.f64 x x))
	0.8b	(.f64 1/2 (.f64 (/.f64 2 (exp.f64 x)) (+.f64 x 1)))
	62.1b	(.f64 1/2 (.f64 x (+.f64 2 (*.f64 x (+.f64 x -2)))))
	62.0b	(.f64 1/2 (.f64 x (+.f64 2 (*.f64 x -2))))
✓	46.5b	(*.f64 1/2 0)

Compiler

Compiled 586 to 449 computations (23.4% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 45 to 27 computations (40% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite131.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1578×	`associate-/l*`
708×	`distribute-rgt-in`
678×	`distribute-lft-in`
570×	`associate-/r/`
408×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	245	40
2	3452	40

Stop Event

1×	node limit

Counts

2 → 188

Calls

Call 1

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

Outputs

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

simplify108.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1004×	`associate-r`
802×	`fma-def`
780×	`associate-l`
770×	`times-frac`
728×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	546	12234
1	1746	10862

Stop Event

1×	node limit

Counts

212 → 317

Calls

Call 1

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

Outputs
(*.f64 -2 x)
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 x))
(fma.f64 2 (.f64 x x) (.f64 -2 x))
(fma.f64 -2 x (*.f64 x (+.f64 x x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 -1 (pow.f64 x 3)) (*.f64 -2 x)))
(fma.f64 2 (.f64 x x) (fma.f64 -1 (pow.f64 x 3) (.f64 -2 x)))
(fma.f64 2 (.f64 x x) (-.f64 (.f64 -2 x) (pow.f64 x 3)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 -2 x) (.f64 1/3 (pow.f64 x 4)))))
(fma.f64 2 (.f64 x x) (fma.f64 -1 (pow.f64 x 3) (fma.f64 -2 x (.f64 1/3 (pow.f64 x 4)))))
(fma.f64 2 (.f64 x x) (-.f64 (fma.f64 1/3 (pow.f64 x 4) (.f64 -2 x)) (pow.f64 x 3)))
(*.f64 -2 (/.f64 x (exp.f64 x)))
(/.f64 (*.f64 -2 x) (exp.f64 x))
(*.f64 -2 (/.f64 x (exp.f64 x)))
(/.f64 (*.f64 -2 x) (exp.f64 x))
(*.f64 -2 (/.f64 x (exp.f64 x)))
(/.f64 (*.f64 -2 x) (exp.f64 x))
(*.f64 -2 (/.f64 x (exp.f64 x)))
(/.f64 (*.f64 -2 x) (exp.f64 x))
(*.f64 -2 (/.f64 x (exp.f64 x)))
(/.f64 (*.f64 -2 x) (exp.f64 x))
(*.f64 -2 (/.f64 x (exp.f64 x)))
(/.f64 (*.f64 -2 x) (exp.f64 x))
(*.f64 -2 (/.f64 x (exp.f64 x)))
(/.f64 (*.f64 -2 x) (exp.f64 x))
(*.f64 -2 (/.f64 x (exp.f64 x)))
(/.f64 (*.f64 -2 x) (exp.f64 x))
2
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (neg.f64 (*.f64 x x)))
(-.f64 2 (*.f64 x x))
(+.f64 2 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 2/3 (pow.f64 x 3))))
(+.f64 2 (fma.f64 -1 (.f64 x x) (.f64 (pow.f64 x 3) 2/3)))
(+.f64 2 (-.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 x x)))
(+.f64 2 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -1/4 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 3)))))
(+.f64 2 (fma.f64 -1 (.f64 x x) (fma.f64 -1/4 (pow.f64 x 4) (.f64 (pow.f64 x 3) 2/3))))
(+.f64 2 (-.f64 (fma.f64 (pow.f64 x 3) 2/3 (.f64 (pow.f64 x 4) -1/4)) (.f64 x x)))
(*.f64 2 (/.f64 x (exp.f64 x)))
(+.f64 (.f64 2 (/.f64 x (exp.f64 x))) (.f64 2 (/.f64 1 (exp.f64 x))))
(fma.f64 2 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(/.f64 (fma.f64 2 x 2) (exp.f64 x))
(+.f64 (.f64 2 (/.f64 x (exp.f64 x))) (.f64 2 (/.f64 1 (exp.f64 x))))
(fma.f64 2 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(/.f64 (fma.f64 2 x 2) (exp.f64 x))
(+.f64 (.f64 2 (/.f64 x (exp.f64 x))) (.f64 2 (/.f64 1 (exp.f64 x))))
(fma.f64 2 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(/.f64 (fma.f64 2 x 2) (exp.f64 x))
(*.f64 2 (/.f64 x (exp.f64 x)))
(+.f64 (.f64 2 (/.f64 x (exp.f64 x))) (.f64 2 (/.f64 1 (exp.f64 x))))
(fma.f64 2 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(/.f64 (fma.f64 2 x 2) (exp.f64 x))
(+.f64 (.f64 2 (/.f64 x (exp.f64 x))) (.f64 2 (/.f64 1 (exp.f64 x))))
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(/.f64 (fma.f64 (/.f64 4 (pow.f64 (exp.f64 x) 2)) (/.f64 4 (pow.f64 (exp.f64 x) 2)) (neg.f64 (pow.f64 (/.f64 x (.f64 (exp.f64 x) -1/2)) 4))) (.f64 (exp.f64 (neg.f64 x)) (.f64 (fma.f64 x -2 2) (+.f64 (pow.f64 (/.f64 x (.f64 (exp.f64 x) -1/2)) 2) (/.f64 4 (pow.f64 (exp.f64 x) 2))))))
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(/.f64 (+.f64 4 (.f64 -4 (.f64 x x))) (*.f64 (exp.f64 x) (fma.f64 x -2 2)))
(/.f64 (+.f64 4 (.f64 (.f64 x x) -4)) (*.f64 (exp.f64 x) (fma.f64 -2 x 2)))
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(/.f64 (-.f64 (/.f64 512 (pow.f64 (pow.f64 (exp.f64 x) 3) 3)) (pow.f64 (pow.f64 (/.f64 x (.f64 (exp.f64 x) -1/2)) 3) 3)) (.f64 (+.f64 (/.f64 4 (pow.f64 (exp.f64 x) 2)) (.f64 (/.f64 x (.f64 (exp.f64 x) -1/2)) (.f64 (exp.f64 (neg.f64 x)) (fma.f64 x -2 2)))) (fma.f64 (/.f64 8 (pow.f64 (exp.f64 x) 3)) (/.f64 8 (pow.f64 (exp.f64 x) 3)) (.f64 (pow.f64 (/.f64 x (.f64 (exp.f64 x) -1/2)) 3) (.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (+.f64 8 (pow.f64 (*.f64 -2 x) 3)))))))
(/.f64 (-.f64 (/.f64 512 (pow.f64 (pow.f64 (exp.f64 x) 3) 3)) (pow.f64 (pow.f64 (.f64 -2 (/.f64 x (exp.f64 x))) 3) 3)) (.f64 (fma.f64 (/.f64 (.f64 -2 (/.f64 x (exp.f64 x))) (exp.f64 x)) (fma.f64 -2 x 2) (/.f64 4 (pow.f64 (exp.f64 x) 2))) (fma.f64 (pow.f64 (.f64 -2 (/.f64 x (exp.f64 x))) 3) (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (fma.f64 (pow.f64 x 3) -8 8)) (/.f64 (/.f64 64 (pow.f64 (exp.f64 x) 3)) (pow.f64 (exp.f64 x) 3)))))
(/.f64 (-.f64 8 (pow.f64 (.f64 x -2) 3)) (.f64 (exp.f64 x) (+.f64 4 (.f64 (.f64 x -2) (+.f64 (*.f64 x -2) 2)))))
(/.f64 (-.f64 8 (pow.f64 (.f64 -2 x) 3)) (.f64 (exp.f64 x) (+.f64 4 (.f64 (.f64 -2 x) (fma.f64 x -2 2)))))
(/.f64 (-.f64 8 (pow.f64 (.f64 -2 x) 3)) (.f64 (exp.f64 x) (fma.f64 (*.f64 -2 x) (fma.f64 -2 x 2) 4)))
(/.f64 (+.f64 -2 (*.f64 x -2)) (neg.f64 (exp.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(/.f64 (fma.f64 2 x 2) (exp.f64 x))
(/.f64 (-.f64 (.f64 -2 (.f64 (exp.f64 x) -1/2)) (.f64 (neg.f64 (exp.f64 x)) x)) (.f64 (neg.f64 (exp.f64 x)) (*.f64 (exp.f64 x) -1/2)))
(/.f64 (+.f64 (.f64 -2 (.f64 (exp.f64 x) -1/2)) (.f64 x (exp.f64 x))) (.f64 (neg.f64 (pow.f64 (exp.f64 x) 2)) -1/2))
(/.f64 (+.f64 (exp.f64 x) (.f64 x (exp.f64 x))) (.f64 1/2 (pow.f64 (exp.f64 x) 2)))
(/.f64 (-.f64 (.f64 -2 (exp.f64 x)) (.f64 (+.f64 x x) (exp.f64 x))) (neg.f64 (pow.f64 (exp.f64 x) 2)))
(.f64 (exp.f64 x) (.f64 (+.f64 2 (+.f64 x x)) (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(*.f64 (exp.f64 x) (/.f64 (fma.f64 2 x 2) (pow.f64 (exp.f64 x) 2)))
(/.f64 (-.f64 (.f64 -2 (.f64 -1/2 (/.f64 (exp.f64 x) x))) (neg.f64 (exp.f64 x))) (.f64 (neg.f64 (exp.f64 x)) (.f64 -1/2 (/.f64 (exp.f64 x) x))))
(/.f64 (-.f64 (.f64 1 (/.f64 (exp.f64 x) x)) (neg.f64 (exp.f64 x))) (.f64 (neg.f64 (exp.f64 x)) (*.f64 -1/2 (/.f64 (exp.f64 x) x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 (exp.f64 x) x)) (/.f64 (*.f64 1/2 (pow.f64 (exp.f64 x) 2)) x))
(/.f64 (-.f64 (.f64 -2 (neg.f64 (exp.f64 x))) (.f64 (neg.f64 (exp.f64 x)) (+.f64 x x))) (*.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x))))
(.f64 (exp.f64 x) (.f64 (+.f64 2 (+.f64 x x)) (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(*.f64 (exp.f64 x) (/.f64 (fma.f64 2 x 2) (pow.f64 (exp.f64 x) 2)))
(/.f64 (-.f64 (.f64 2 (.f64 (exp.f64 x) -1/2)) (.f64 (exp.f64 x) x)) (.f64 (exp.f64 x) (*.f64 (exp.f64 x) -1/2)))
(/.f64 (fma.f64 2 (.f64 (exp.f64 x) -1/2) (.f64 x (neg.f64 (exp.f64 x)))) (*.f64 (pow.f64 (exp.f64 x) 2) -1/2))
(/.f64 (-.f64 (neg.f64 (exp.f64 x)) (.f64 x (exp.f64 x))) (.f64 -1/2 (pow.f64 (exp.f64 x) 2)))
(/.f64 (-.f64 (.f64 2 (.f64 -1/2 (/.f64 (exp.f64 x) x))) (exp.f64 x)) (.f64 (exp.f64 x) (.f64 -1/2 (/.f64 (exp.f64 x) x))))
(/.f64 (-.f64 (.f64 1 (/.f64 (exp.f64 x) x)) (neg.f64 (exp.f64 x))) (.f64 (neg.f64 (exp.f64 x)) (*.f64 -1/2 (/.f64 (exp.f64 x) x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 (exp.f64 x) x)) (/.f64 (*.f64 1/2 (pow.f64 (exp.f64 x) 2)) x))
(/.f64 (-.f64 (.f64 2 (neg.f64 (exp.f64 x))) (.f64 (exp.f64 x) (+.f64 x x))) (*.f64 (exp.f64 x) (neg.f64 (exp.f64 x))))
(.f64 (exp.f64 x) (.f64 (+.f64 2 (+.f64 x x)) (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(*.f64 (exp.f64 x) (/.f64 (fma.f64 2 x 2) (pow.f64 (exp.f64 x) 2)))
(/.f64 (-.f64 (.f64 (exp.f64 x) -1/2) (.f64 (.f64 (exp.f64 x) 1/2) x)) (.f64 (.f64 (exp.f64 x) 1/2) (.f64 (exp.f64 x) -1/2)))
(/.f64 (-.f64 (.f64 (exp.f64 x) -1/2) (.f64 x (.f64 (exp.f64 x) 1/2))) (.f64 (.f64 (exp.f64 x) (.f64 (exp.f64 x) 1/2)) -1/2))
(/.f64 (.f64 (exp.f64 x) (-.f64 -1/2 (.f64 x 1/2))) (.f64 (exp.f64 x) (.f64 (exp.f64 x) -1/4)))
(/.f64 (-.f64 (exp.f64 x) (.f64 (.f64 (exp.f64 x) 1/2) (.f64 x -2))) (.f64 (*.f64 (exp.f64 x) 1/2) (exp.f64 x)))
(/.f64 (+.f64 (.f64 -2 (.f64 (exp.f64 x) -1/2)) (.f64 x (exp.f64 x))) (.f64 (neg.f64 (pow.f64 (exp.f64 x) 2)) -1/2))
(/.f64 (+.f64 (exp.f64 x) (.f64 x (exp.f64 x))) (.f64 1/2 (pow.f64 (exp.f64 x) 2)))
(/.f64 (-.f64 (.f64 -1/2 (/.f64 (exp.f64 x) x)) (.f64 (.f64 (exp.f64 x) 1/2) 1)) (.f64 (.f64 (exp.f64 x) 1/2) (.f64 -1/2 (/.f64 (exp.f64 x) x))))
(/.f64 (-.f64 (.f64 -1/2 (/.f64 (exp.f64 x) x)) (.f64 (exp.f64 x) 1/2)) (.f64 (exp.f64 x) (.f64 1/2 (*.f64 -1/2 (/.f64 (exp.f64 x) x)))))
(/.f64 (fma.f64 -1/2 (/.f64 (exp.f64 x) x) (.f64 (exp.f64 x) -1/2)) (.f64 (exp.f64 x) (*.f64 -1/4 (/.f64 (exp.f64 x) x))))
(/.f64 (-.f64 (neg.f64 (exp.f64 x)) (.f64 (.f64 (exp.f64 x) 1/2) (+.f64 x x))) (.f64 (.f64 (exp.f64 x) 1/2) (neg.f64 (exp.f64 x))))
(/.f64 (fma.f64 2 (.f64 (exp.f64 x) -1/2) (.f64 x (neg.f64 (exp.f64 x)))) (*.f64 (pow.f64 (exp.f64 x) 2) -1/2))
(/.f64 (-.f64 (neg.f64 (exp.f64 x)) (.f64 x (exp.f64 x))) (.f64 -1/2 (pow.f64 (exp.f64 x) 2)))
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(/.f64 (neg.f64 (-.f64 (/.f64 4 (pow.f64 (exp.f64 x) 2)) (pow.f64 (/.f64 x (.f64 (exp.f64 x) -1/2)) 2))) (.f64 (neg.f64 (exp.f64 (neg.f64 x))) (fma.f64 x -2 2)))
(/.f64 (+.f64 (/.f64 -4 (pow.f64 (exp.f64 x) 2)) (pow.f64 (.f64 -2 (/.f64 x (exp.f64 x))) 2)) (.f64 (/.f64 -1 (exp.f64 x)) (fma.f64 -2 x 2)))
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(/.f64 (.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (neg.f64 (-.f64 8 (pow.f64 (.f64 -2 x) 3)))) (neg.f64 (+.f64 (/.f64 4 (pow.f64 (exp.f64 x) 2)) (.f64 (/.f64 x (.f64 (exp.f64 x) -1/2)) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x -2 2))))))
(.f64 1 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (/.f64 (fma.f64 (/.f64 (.f64 -2 (/.f64 x (exp.f64 x))) (exp.f64 x)) (fma.f64 -2 x 2) (/.f64 4 (pow.f64 (exp.f64 x) 2))) (-.f64 8 (pow.f64 (*.f64 -2 x) 3)))))
(/.f64 (neg.f64 (+.f64 2 (+.f64 x x))) (neg.f64 (exp.f64 x)))
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(/.f64 (neg.f64 (*.f64 (exp.f64 x) (+.f64 2 (+.f64 x x)))) (neg.f64 (pow.f64 (exp.f64 x) 2)))
(.f64 (exp.f64 x) (.f64 (+.f64 2 (+.f64 x x)) (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(*.f64 (exp.f64 x) (/.f64 (fma.f64 2 x 2) (pow.f64 (exp.f64 x) 2)))
(pow.f64 (/.f64 (+.f64 2 (+.f64 x x)) (exp.f64 x)) 1)
(fma.f64 2 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(/.f64 (fma.f64 2 x 2) (exp.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 2 (+.f64 x x)) (exp.f64 x))) 2)
(fma.f64 2 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(/.f64 (fma.f64 2 x 2) (exp.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (+.f64 x x)) (exp.f64 x))) 3)
(fma.f64 2 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(/.f64 (fma.f64 2 x 2) (exp.f64 x))
(pow.f64 (pow.f64 (/.f64 (+.f64 2 (+.f64 x x)) (exp.f64 x)) 3) 1/3)
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(sqrt.f64 (pow.f64 (/.f64 (+.f64 2 (+.f64 x x)) (exp.f64 x)) 2))
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(fma.f64 2 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(/.f64 (fma.f64 2 x 2) (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 2 (+.f64 x x)) (exp.f64 x)))))
(fma.f64 2 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(/.f64 (fma.f64 2 x 2) (exp.f64 x))
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(fma.f64 2 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(/.f64 (fma.f64 2 x 2) (exp.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 2 (+.f64 x x)) (exp.f64 x))))
(fma.f64 2 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(/.f64 (fma.f64 2 x 2) (exp.f64 x))
(exp.f64 (-.f64 (log.f64 (+.f64 2 (+.f64 x x))) x))
(fma.f64 2 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(/.f64 (fma.f64 2 x 2) (exp.f64 x))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 2 (+.f64 x x))) x) 1))
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(/.f64 (fma.f64 2 x 2) (exp.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 2 (+.f64 x x)) (exp.f64 x))))
(fma.f64 2 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(/.f64 (fma.f64 2 x 2) (exp.f64 x))
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(+.f64 (/.f64 x (*.f64 (exp.f64 x) 1/2)) (/.f64 2 (exp.f64 x)))
(fma.f64 1 (/.f64 2 (exp.f64 x)) (/.f64 x (*.f64 (exp.f64 x) 1/2)))
(+.f64 (/.f64 x (*.f64 (exp.f64 x) 1/2)) (/.f64 2 (exp.f64 x)))
(fma.f64 (sqrt.f64 (/.f64 2 (exp.f64 x))) (sqrt.f64 (/.f64 2 (exp.f64 x))) (/.f64 x (*.f64 (exp.f64 x) 1/2)))
(+.f64 (/.f64 x (*.f64 (exp.f64 x) 1/2)) (/.f64 2 (exp.f64 x)))
(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 (exp.f64 x) 2))) (cbrt.f64 (/.f64 2 (exp.f64 x))) (/.f64 x (*.f64 (exp.f64 x) 1/2)))

localize4.0ms (0%)

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

localize26.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.7b	(-.f64 (*.f64 -1 (-.f64 1 eps)) (+.f64 1 eps))

Compiler

Compiled 66 to 50 computations (24.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1952×	`add-sqr-sqrt`
1936×	`*-un-lft-identity`
1812×	`add-cube-cbrt`
1798×	`add-cbrt-cube`
198×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	201	11
2	2845	11

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

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

Outputs

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

simplify69.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1464×	`associate-/l*`
1390×	`associate-/r*`
868×	`*-commutative`
832×	`+-commutative`
682×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	111	2115
1	298	1765
2	1443	641
3	7668	641

Stop Event

1×	node limit

Counts

55 → 59

Calls

Call 1

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

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

localize47.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 117 to 77 computations (34.2% saved)

series2.0ms (0%)

Counts

1 → 21

Calls

6 calls:

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

rewrite108.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1054×	`associate-+l+`
542×	`associate-+r+`
424×	`add-sqr-sqrt`
418×	`pow1`
418×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	47
1	413	31
2	6467	31

Stop Event

1×	node limit

Counts

1 → 119

Calls

Call 1

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

Outputs

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

simplify94.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1228×	`associate-+l+`
932×	`associate-/l*`
916×	`associate-+r+`
750×	`associate-/r*`
636×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	318	6220
1	894	5394
2	4132	4848

Stop Event

1×	node limit

Counts

140 → 185

Calls

Call 1

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

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

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 68 to 29 computations (57.4% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite111.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1394×	`associate-/r/`
1136×	`associate-/l/`
358×	`associate-+l+`
306×	`add-sqr-sqrt`
304×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	97
1	294	71
2	4791	71

Stop Event

1×	node limit

Counts

3 → 271

Calls

Call 1

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

Outputs

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simplify159.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1554×	`associate-r`
1314×	`associate-l`
1098×	`associate-/r*`
888×	`associate-/l*`
840×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	730	18133
1	2390	17745

Stop Event

1×	node limit

Counts

307 → 499

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4)))))
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
2
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 2/3 (pow.f64 x 3))))
(+.f64 2 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -1/4 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 3)))))
(*.f64 2 (/.f64 x (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))))
(*.f64 2 (/.f64 x (exp.f64 x)))
(+.f64 (.f64 2 (/.f64 x (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (.f64 -1 x))))
(+.f64 (.f64 2 (/.f64 x (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (.f64 -1 x))))
(+.f64 (.f64 2 (/.f64 x (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (.f64 -1 x))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 x 2)) x))
(+.f64 (.f64 5/6 (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 x 2)) x)))
(*.f64 2 (/.f64 x (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(*.f64 2 (/.f64 x (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(+.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(+.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (-.f64 1 (*.f64 x (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (exp.f64 x)))) (-.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) 1)
(-.f64 (/.f64 0 (neg.f64 (exp.f64 x))) (-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x)))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (log1p.f64 (*.f64 x (exp.f64 x))))) 1)
(-.f64 (+.f64 (exp.f64 x) (/.f64 0 (neg.f64 (exp.f64 x)))) (*.f64 x (exp.f64 x)))
(-.f64 (+.f64 (*.f64 x (exp.f64 x)) (exp.f64 (log1p.f64 (exp.f64 x)))) 1)
(*.f64 1 (exp.f64 (+.f64 x (log1p.f64 x))))
(*.f64 (+.f64 x 1) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 x 1))
(*.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 1)
(*.f64 (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
(.f64 (hypot.f64 1 (sqrt.f64 x)) (.f64 (hypot.f64 1 (sqrt.f64 x)) (exp.f64 x)))
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(/.f64 (+.f64 (pow.f64 (.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3)) (.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (pow.f64 (.f64 x (exp.f64 x)) 2) (.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (-.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (*.f64 x (exp.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3)) (.f64 (exp.f64 x) (.f64 (exp.f64 x) (+.f64 (pow.f64 (.f64 x (exp.f64 x)) 2) (.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (-.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (.f64 x (exp.f64 x))))))))
(/.f64 (neg.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))) (neg.f64 (pow.f64 (exp.f64 x) 2)))
(/.f64 (neg.f64 (.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))) (.f64 (pow.f64 (exp.f64 x) 2) (neg.f64 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2) (pow.f64 (.f64 x (exp.f64 x)) 2)) (-.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (.f64 x (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2) (pow.f64 (.f64 x (exp.f64 x)) 2)) (.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (*.f64 x (exp.f64 x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x (exp.f64 x)) 3) (pow.f64 (.f64 x (exp.f64 x)) 3)) (.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3))) (.f64 (+.f64 (pow.f64 (.f64 x (exp.f64 x)) 2) (.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (-.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (.f64 x (exp.f64 x))))) (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x (exp.f64 x)) 2) (pow.f64 (.f64 x (exp.f64 x)) 2)) (.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2))) (.f64 (.f64 (exp.f64 x) (+.f64 (+.f64 x -1) x)) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 x (exp.f64 x)) 3) 3) (pow.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3) 3)) (.f64 (+.f64 (pow.f64 (.f64 x (exp.f64 x)) 2) (.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (-.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (.f64 x (exp.f64 x))))) (+.f64 (.f64 (pow.f64 (.f64 x (exp.f64 x)) 3) (pow.f64 (.f64 x (exp.f64 x)) 3)) (-.f64 (.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3)) (.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 x (exp.f64 x)) 2) 3) (pow.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2) 3)) (.f64 (.f64 (exp.f64 x) (+.f64 (+.f64 x -1) x)) (+.f64 (.f64 (pow.f64 (.f64 x (exp.f64 x)) 2) (pow.f64 (.f64 x (exp.f64 x)) 2)) (+.f64 (.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2)) (.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2))))))
(/.f64 (+.f64 (exp.f64 x) (.f64 (exp.f64 (-.f64 x (log1p.f64 x))) x)) (.f64 (exp.f64 (-.f64 x (log1p.f64 x))) (exp.f64 x)))
(/.f64 (+.f64 (exp.f64 x) (.f64 (exp.f64 (-.f64 x (log1p.f64 x))) x)) (.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 (-.f64 x (log1p.f64 x))) (exp.f64 x))))
(/.f64 (+.f64 (/.f64 (exp.f64 x) x) (.f64 (exp.f64 (-.f64 x (log1p.f64 x))) 1)) (.f64 (exp.f64 (-.f64 x (log1p.f64 x))) (/.f64 (exp.f64 x) x)))
(/.f64 (+.f64 (/.f64 (exp.f64 x) x) (.f64 (exp.f64 (-.f64 x (log1p.f64 x))) 1)) (.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 (-.f64 x (log1p.f64 x))) (/.f64 (exp.f64 x) x))))
(/.f64 (+.f64 (neg.f64 (exp.f64 x)) (.f64 (exp.f64 (-.f64 x (log1p.f64 x))) x)) (.f64 (exp.f64 (-.f64 x (log1p.f64 x))) (neg.f64 (exp.f64 x))))
(/.f64 (+.f64 (neg.f64 (exp.f64 x)) (.f64 (exp.f64 (-.f64 x (log1p.f64 x))) x)) (.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 (-.f64 x (log1p.f64 x))) (neg.f64 (exp.f64 x)))))
(/.f64 (+.f64 (exp.f64 x) (.f64 (+.f64 x 1) (/.f64 (exp.f64 x) x))) (.f64 (exp.f64 x) (/.f64 (exp.f64 x) x)))
(/.f64 (+.f64 (exp.f64 x) (.f64 (+.f64 x 1) (/.f64 (exp.f64 x) x))) (.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) x))))
(/.f64 (+.f64 (.f64 x (exp.f64 x)) (.f64 (+.f64 x 1) (neg.f64 (exp.f64 x)))) (*.f64 (exp.f64 x) (neg.f64 (exp.f64 x))))
(/.f64 (+.f64 (.f64 x (exp.f64 x)) (.f64 (+.f64 x 1) (neg.f64 (exp.f64 x)))) (.f64 (pow.f64 (exp.f64 x) 2) (.f64 (exp.f64 x) (neg.f64 (exp.f64 x)))))
(/.f64 (+.f64 (.f64 (+.f64 x -1) (exp.f64 x)) (.f64 (neg.f64 (exp.f64 x)) x)) (*.f64 (neg.f64 (exp.f64 x)) (exp.f64 x)))
(/.f64 (+.f64 (.f64 (+.f64 x -1) (exp.f64 x)) (.f64 (neg.f64 (exp.f64 x)) x)) (.f64 (pow.f64 (exp.f64 x) 2) (.f64 (neg.f64 (exp.f64 x)) (exp.f64 x))))
(/.f64 (+.f64 (.f64 (+.f64 x -1) (/.f64 (exp.f64 x) x)) (.f64 (neg.f64 (exp.f64 x)) 1)) (*.f64 (neg.f64 (exp.f64 x)) (/.f64 (exp.f64 x) x)))
(/.f64 (+.f64 (.f64 (+.f64 x -1) (/.f64 (exp.f64 x) x)) (.f64 (neg.f64 (exp.f64 x)) 1)) (.f64 (pow.f64 (exp.f64 x) 2) (.f64 (neg.f64 (exp.f64 x)) (/.f64 (exp.f64 x) x))))
(/.f64 (+.f64 (.f64 (neg.f64 (exp.f64 x)) x) (.f64 (+.f64 x -1) (neg.f64 (exp.f64 x)))) (*.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x))))
(/.f64 (+.f64 (.f64 (neg.f64 (exp.f64 x)) x) (.f64 (+.f64 x -1) (neg.f64 (exp.f64 x)))) (.f64 (pow.f64 (exp.f64 x) 2) (.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)))))
(/.f64 (+.f64 (exp.f64 x) (.f64 x (exp.f64 (-.f64 x (log1p.f64 x))))) (.f64 (exp.f64 x) (exp.f64 (-.f64 x (log1p.f64 x)))))
(/.f64 (+.f64 (exp.f64 x) (.f64 x (exp.f64 (-.f64 x (log1p.f64 x))))) (.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (exp.f64 (-.f64 x (log1p.f64 x))))))
(/.f64 (+.f64 (.f64 x (neg.f64 (exp.f64 x))) (.f64 (exp.f64 x) (+.f64 x -1))) (*.f64 (exp.f64 x) (neg.f64 (exp.f64 x))))
(/.f64 (+.f64 (.f64 x (neg.f64 (exp.f64 x))) (.f64 (exp.f64 x) (+.f64 x -1))) (.f64 (pow.f64 (exp.f64 x) 2) (.f64 (exp.f64 x) (neg.f64 (exp.f64 x)))))
(/.f64 (+.f64 (exp.f64 (-.f64 x (log1p.f64 x))) (.f64 (/.f64 (exp.f64 x) x) 1)) (.f64 (/.f64 (exp.f64 x) x) (exp.f64 (-.f64 x (log1p.f64 x)))))
(/.f64 (+.f64 (exp.f64 (-.f64 x (log1p.f64 x))) (.f64 (/.f64 (exp.f64 x) x) 1)) (.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (/.f64 (exp.f64 x) x) (exp.f64 (-.f64 x (log1p.f64 x))))))
(/.f64 (+.f64 (exp.f64 x) (.f64 (/.f64 (exp.f64 x) x) (+.f64 x 1))) (.f64 (/.f64 (exp.f64 x) x) (exp.f64 x)))
(/.f64 (+.f64 (exp.f64 x) (.f64 (/.f64 (exp.f64 x) x) (+.f64 x 1))) (.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (/.f64 (exp.f64 x) x) (exp.f64 x))))
(/.f64 (+.f64 (neg.f64 (exp.f64 x)) (.f64 (/.f64 (exp.f64 x) x) (+.f64 x -1))) (.f64 (/.f64 (exp.f64 x) x) (neg.f64 (exp.f64 x))))
(/.f64 (+.f64 (neg.f64 (exp.f64 x)) (.f64 (/.f64 (exp.f64 x) x) (+.f64 x -1))) (.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (/.f64 (exp.f64 x) x) (neg.f64 (exp.f64 x)))))
(/.f64 (+.f64 (.f64 (neg.f64 (exp.f64 x)) 1) (.f64 x (exp.f64 (-.f64 x (log1p.f64 x))))) (*.f64 (neg.f64 (exp.f64 x)) (exp.f64 (-.f64 x (log1p.f64 x)))))
(/.f64 (+.f64 (.f64 (neg.f64 (exp.f64 x)) 1) (.f64 x (exp.f64 (-.f64 x (log1p.f64 x))))) (.f64 (pow.f64 (exp.f64 x) 2) (.f64 (neg.f64 (exp.f64 x)) (exp.f64 (-.f64 x (log1p.f64 x))))))
(/.f64 (+.f64 (.f64 x (exp.f64 x)) (.f64 (neg.f64 (exp.f64 x)) (+.f64 x 1))) (*.f64 (neg.f64 (exp.f64 x)) (exp.f64 x)))
(/.f64 (+.f64 (.f64 x (exp.f64 x)) (.f64 (neg.f64 (exp.f64 x)) (+.f64 x 1))) (.f64 (pow.f64 (exp.f64 x) 2) (.f64 (neg.f64 (exp.f64 x)) (exp.f64 x))))
(/.f64 (+.f64 (.f64 x (neg.f64 (exp.f64 x))) (.f64 (neg.f64 (exp.f64 x)) (+.f64 x -1))) (*.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x))))
(/.f64 (+.f64 (.f64 x (neg.f64 (exp.f64 x))) (.f64 (neg.f64 (exp.f64 x)) (+.f64 x -1))) (.f64 (pow.f64 (exp.f64 x) 2) (.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)))))
(/.f64 (.f64 (exp.f64 x) (-.f64 (pow.f64 (.f64 x (exp.f64 x)) 2) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2))) (.f64 (exp.f64 x) (.f64 (exp.f64 x) (+.f64 (+.f64 x -1) x))))
(/.f64 (.f64 (exp.f64 x) (+.f64 (pow.f64 (.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3))) (.f64 (exp.f64 x) (+.f64 (pow.f64 (.f64 x (exp.f64 x)) 2) (.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (-.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (.f64 x (exp.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (exp.f64 x)) 2) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2))) (neg.f64 (.f64 (exp.f64 x) (+.f64 (+.f64 x -1) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (exp.f64 x)) 2) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2))) (.f64 (pow.f64 (exp.f64 x) 2) (neg.f64 (*.f64 (exp.f64 x) (+.f64 (+.f64 x -1) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 x (exp.f64 x)) 2) (.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (-.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (.f64 x (exp.f64 x)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3))) (.f64 (pow.f64 (exp.f64 x) 2) (neg.f64 (+.f64 (pow.f64 (.f64 x (exp.f64 x)) 2) (.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (-.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (*.f64 x (exp.f64 x))))))))
(pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 1)
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))) 3)
(pow.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 2))
(log.f64 (exp.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 3))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))))
(exp.f64 (log.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))))
(exp.f64 (.f64 (log.f64 (.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))))
(fma.f64 x (exp.f64 x) (exp.f64 (+.f64 x (log1p.f64 x))))
(fma.f64 1 (exp.f64 (+.f64 x (log1p.f64 x))) (*.f64 x (exp.f64 x)))
(fma.f64 1 (*.f64 x (exp.f64 x)) (exp.f64 (+.f64 x (log1p.f64 x))))
(fma.f64 (+.f64 x 1) (exp.f64 x) (*.f64 x (exp.f64 x)))
(fma.f64 (sqrt.f64 (.f64 x (exp.f64 x))) (sqrt.f64 (.f64 x (exp.f64 x))) (exp.f64 (+.f64 x (log1p.f64 x))))
(fma.f64 (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) (*.f64 x (exp.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (exp.f64 x))) 2) (cbrt.f64 (.f64 x (exp.f64 x))) (exp.f64 (+.f64 x (log1p.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2) (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) (*.f64 x (exp.f64 x)))

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

eval529.0ms (3.7%)

Compiler: Compiled 38894 to 20222 computations (48% saved)

prune393.0ms (2.8%)

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	1360	5	1365
Fresh	1	10	11
Picked	1	0	1
Done	2	5	7
Total	1364	20	1384

Error

Counts

1384 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	17.6b	(/.f64 (-.f64 (+.f64 1 (.f64 eps x)) (.f64 -1 (exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x))))) 2)
✓	25.4b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (.f64 x eps) x))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
	1.4b	(/.f64 (-.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (neg.f64 (exp.f64 (.f64 x (-.f64 -1 eps))))) 2)
	1.4b	(/.f64 (-.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) (.f64 -1 (exp.f64 (.f64 -1 (-.f64 (+.f64 (*.f64 x eps) (exp.f64 (log1p.f64 x))) 1))))) 2)
	17.7b	(/.f64 (-.f64 2 x) 2)
	11.8b	(/.f64 (+.f64 (.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)) (.f64 eps eps)) (*.f64 2 (exp.f64 (neg.f64 x)))) 2)
	17.6b	(/.f64 (+.f64 1 (+.f64 (*.f64 eps (-.f64 x (/.f64 x (exp.f64 x)))) (exp.f64 (neg.f64 x)))) 2)
✓	17.5b	(/.f64 2 2)
	0.8b	(*.f64 1/2 (/.f64 (+.f64 2 (+.f64 x x)) (exp.f64 x)))
	46.1b	(*.f64 1/2 (/.f64 2 (/.f64 (exp.f64 x) x)))
	0.8b	(*.f64 1/2 (/.f64 1 (/.f64 (exp.f64 x) (+.f64 2 (+.f64 x x)))))
✓	0.8b	(.f64 1/2 (-.f64 (/.f64 2 (exp.f64 x)) (/.f64 (.f64 x -2) (exp.f64 x))))
	17.8b	(*.f64 1/2 (-.f64 (/.f64 2 (exp.f64 x)) (/.f64 x 1/2)))
	17.6b	(.f64 1/2 (-.f64 2 (.f64 x x)))
	42.0b	(.f64 1/2 (+.f64 (.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (+.f64 1 (/.f64 1 eps))) (+.f64 1 (-.f64 (neg.f64 (.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 x (+.f64 1 eps)))) (/.f64 1 eps)))))
✓	61.8b	(*.f64 1/2 (+.f64 x x))
	0.8b	(.f64 1/2 (.f64 (/.f64 2 (exp.f64 x)) (+.f64 x 1)))
	62.1b	(.f64 1/2 (.f64 x (+.f64 2 (*.f64 x (+.f64 x -2)))))
	62.0b	(.f64 1/2 (.f64 x (+.f64 2 (*.f64 x -2))))
✓	46.5b	(*.f64 1/2 0)

Compiler

Compiled 301 to 234 computations (22.3% saved)

regimes66.0ms (0.5%)

Counts

40 → 1

Calls

Call 1

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

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

Calls

4 calls:

21.0ms	x
19.0ms	eps
4.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))
4.0ms	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))) 2)

Results

Error	Segments	Branch
0.8b	1	`x`
0.8b	1	`eps`
0.8b	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)`
0.8b	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 838 to 533 computations (36.4% saved)

regimes52.0ms (0.4%)

Counts

32 → 1

Calls

Call 1

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

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

Calls

4 calls:

17.0ms	eps
16.0ms	x
5.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))
4.0ms	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))) 2)

Results

Error	Segments	Branch
0.8b	1	`x`
0.8b	1	`eps`
0.8b	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)`
0.8b	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 549 to 374 computations (31.9% saved)

regimes28.0ms (0.2%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	x
11.0ms	eps

Results

Error	Segments	Branch
0.8b	1	`x`
0.8b	1	`eps`

Compiler

Compiled 250 to 178 computations (28.8% saved)

regimes37.0ms (0.3%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	eps
14.0ms	x

Results

Error	Segments	Branch
1.8b	2	`x`
15.8b	3	`eps`

Compiler

Compiled 87 to 65 computations (25.3% saved)

bsearch70.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
70.0ms	0.40652451187056154	3609105311.1401057

Results

31.0ms	56×	body	1024	valid
13.0ms	43×	body	512	valid
12.0ms	77×	body	256	infinite
10.0ms	58×	body	256	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 196 to 169 computations (13.8% saved)

regimes25.0ms (0.2%)

Accuracy

Total -60.5b remaining (-3065.3%)

Threshold costs -60.5b (-3065.3%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	eps
10.0ms	x

Results

Error	Segments	Branch
2.0b	2	`x`
15.8b	3	`eps`

Compiler

Compiled 29 to 22 computations (24.1% saved)

bsearch70.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
70.0ms	0.40652451187056154	3609105311.1401057

Results

25.0ms	48×	body	1024	valid
14.0ms	80×	body	256	infinite
13.0ms	38×	body	512	valid
11.0ms	68×	body	256	valid
4.0ms	6×	body	2048	valid

Compiler

Compiled 156 to 149 computations (4.5% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative`
20×	`+-commutative`
8×	`sub-neg`
8×	`neg-mul-1`
8×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	166
1	61	166
2	73	166
3	85	166
4	89	166
5	90	166

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 1/2 (+.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))) x) (*.f64 2 (exp.f64 (neg.f64 x)))))
(.f64 1/2 (-.f64 (/.f64 2 (exp.f64 x)) (/.f64 (.f64 x -2) (exp.f64 x))))
(.f64 1/2 (.f64 (/.f64 2 (exp.f64 x)) (+.f64 x 1)))
(if (<=.f64 x 799388933858263/562949953421312) (.f64 1/2 (-.f64 2 (.f64 x x))) (*.f64 1/2 0))
(if (<=.f64 x 365) (/.f64 2 2) (*.f64 1/2 0))
(*.f64 1/2 0)

Outputs
(.f64 1/2 (+.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))) x) (*.f64 2 (exp.f64 (neg.f64 x)))))
(.f64 1/2 (+.f64 (.f64 x (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x)))) (*.f64 (exp.f64 (neg.f64 x)) 2)))
(.f64 1/2 (-.f64 (/.f64 2 (exp.f64 x)) (/.f64 (.f64 x -2) (exp.f64 x))))
(.f64 1/2 (.f64 (/.f64 2 (exp.f64 x)) (+.f64 x 1)))
(.f64 1/2 (.f64 (/.f64 2 (exp.f64 x)) (+.f64 1 x)))
(if (<=.f64 x 799388933858263/562949953421312) (.f64 1/2 (-.f64 2 (.f64 x x))) (*.f64 1/2 0))
(if (<=.f64 x 799388933858263/562949953421312) (.f64 1/2 (-.f64 2 (.f64 x x))) 0)
(if (<=.f64 x 365) (/.f64 2 2) (*.f64 1/2 0))
(if (<=.f64 x 365) 1 0)
(*.f64 1/2 0)
0

Compiler

Compiled 72 to 56 computations (22.2% saved)

soundness203.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

1442×	`associate-+r+`
1196×	`associate-/l*`
1030×	`associate-l`
1026×	`times-frac`
968×	`+-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	311	7897
1	944	7257
2	3778	7065

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 404 to 267 computations (33.9% saved)

end43.0ms (0.3%)

Compiler: Compiled 62 to 44 computations (29% saved)