Details

analyze213.0ms (1.3%)

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)

sample3.5s (20.9%)

Results

1.4s	2064×	body	1024	valid
1.1s	4909×	body	256	valid
374.0ms	1057×	body	512	valid
234.0ms	226×	body	2048	valid
172.0ms	491×	body	256	infinite
73.0ms	451×	body	256	unsamplable
57.0ms	28×	body	1024	infinite
4.0ms	12×	body	512	infinite

Bogosity

preprocess51.0ms (0.3%)

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)

simplify42.0ms (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)

prune4.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Accurracy

57.6%

Counts

7 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	31.3%	(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
▶	31.3%	(/.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)
▶	57.6%	(/.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)
▶	57.6%	(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))))

Compiler

Compiled 116 to 88 computations (24.1% saved)

localize40.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(exp.f64 (fma.f64 eps x x))
✓	100.0%	(exp.f64 (fma.f64 eps x (neg.f64 x)))
✓	100.0%	(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
✓	92.4%	(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)

series37.0ms (0.2%)

Counts

4 → 68

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	eps	@	0	(exp.f64 (fma.f64 eps x x))
2.0ms	x	@	0	(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
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))))

rewrite90.0ms (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	132
1	396	116
2	5280	116

Stop Event

1×	node limit

Counts

4 → 101

Calls

Call 1

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

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

simplify119.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1206×	`associate-*r/`
1150×	`+-commutative`
792×	`associate--l+`
772×	`associate--r+`
746×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	390	9187
1	1168	8539
2	5213	8315

Stop Event

1×	node limit

Counts

169 → 229

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

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

localize55.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(*.f64 (-.f64 1 eps) (neg.f64 x))
✓	100.0%	(exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))
✓	100.0%	(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
✓	97.3%	(-.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)

series12.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite180.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	142
1	443	118
2	6105	118

Stop Event

1×	node limit

Counts

4 → 290

Calls

Call 1

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

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

simplify233.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	792	35706
1	2160	29944

Stop Event

1×	node limit

Counts

386 → 478

Calls

Call 1

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

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

localize63.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1)))
✓	100.0%	(exp.f64 (-.f64 1 eps))
✓	99.2%	(pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))
✓	97.4%	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1)))))

Compiler

Compiled 137 to 93 computations (32.1% saved)

series48.0ms (0.3%)

Counts

4 → 80

Calls

21 calls:

Time	Variable		Point	Expression
22.0ms	eps	@	inf	(pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))
8.0ms	eps	@	-inf	(pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))
6.0ms	eps	@	-inf	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1)))))
4.0ms	eps	@	inf	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1)))))
3.0ms	x	@	0	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1)))))

rewrite151.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	136
1	477	108
2	6893	108

Stop Event

1×	node limit

Counts

4 → 223

Calls

Call 1

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

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

simplify329.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1150×	`fma-def`
962×	`associate-r`
798×	`associate-+r-`
788×	`associate-+l-`
730×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	654	28659
1	1771	23411
2	6927	22697

Stop Event

1×	node limit

Counts

303 → 436

Calls

Call 1

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

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

localize77.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(exp.f64 (fma.f64 eps x x))
✓	100.0%	(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
✓	99.2%	(pow.f64 (exp.f64 (+.f64 eps -1)) x)
✓	92.4%	(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))

Compiler

Compiled 101 to 61 computations (39.6% saved)

series68.0ms (0.4%)

Counts

3 → 64

Calls

18 calls:

Time	Variable		Point	Expression
34.0ms	eps	@	-inf	(pow.f64 (exp.f64 (+.f64 eps -1)) x)
24.0ms	eps	@	inf	(pow.f64 (exp.f64 (+.f64 eps -1)) x)
3.0ms	eps	@	inf	(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
3.0ms	eps	@	-inf	(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
1.0ms	eps	@	0	(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))

rewrite98.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	115
1	386	111
2	5057	111

Stop Event

1×	node limit

Counts

3 → 102

Calls

Call 1

Inputs

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

(pow.f64 (exp.f64 (+.f64 eps -1)) x)

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

Outputs

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

simplify200.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1498×	`associate-*r/`
930×	`associate--l+`
836×	`associate--r+`
614×	`associate-r`
568×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	446	10498
1	1392	9752
2	5729	8908

Stop Event

1×	node limit

Counts

166 → 249

Calls

Call 1

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

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

eval1.3s (7.6%)

Compiler: Compiled 67740 to 44812 computations (33.8% saved)

prune543.0ms (3.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	1401	9	1410
Fresh	0	0	0
Picked	1	0	1
Done	3	0	3
Total	1405	9	1414

Accurracy

100.0%

Counts

1414 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(/.f64 (-.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
▶	32.5%	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 (.f64 x (-.f64 1 eps)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (+.f64 (neg.f64 eps) -1))))) 2)
	32.9%	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
▶	98.6%	(/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
▶	98.6%	(/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 (-.f64 eps 1) x))) 2)
	99.2%	(/.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x))) (/.f64 x (exp.f64 x))) 2)
	74.6%	(/.f64 2 2)
▶	27.0%	(/.f64 0 2)
	33.0%	(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (E.f64) (fma.f64 x eps x)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))))

Compiler

Compiled 352 to 266 computations (24.4% saved)

localize21.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))

Compiler

Compiled 62 to 33 computations (46.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite52.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

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

simplify64.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

38 → 57

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize56.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1)))
✓	99.9%	(.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 (.f64 x (-.f64 1 eps))))
✓	99.7%	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 (.f64 x (-.f64 1 eps)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (+.f64 (neg.f64 eps) -1))))) 2)
✓	93.8%	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 (.f64 x (-.f64 1 eps)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (+.f64 (neg.f64 eps) -1)))))

Compiler

Compiled 136 to 96 computations (29.4% saved)

series7.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	0	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 (.f64 x (-.f64 1 eps)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (+.f64 (neg.f64 eps) -1)))))
0.0ms	x	@	inf	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 (.f64 x (-.f64 1 eps)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (+.f64 (neg.f64 eps) -1)))))
0.0ms	eps	@	0	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 (.f64 x (-.f64 1 eps)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (+.f64 (neg.f64 eps) -1))))) 2)
0.0ms	x	@	0	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 (.f64 x (-.f64 1 eps)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (+.f64 (neg.f64 eps) -1))))) 2)
0.0ms	x	@	-inf	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 (.f64 x (-.f64 1 eps)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (+.f64 (neg.f64 eps) -1)))))

rewrite125.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

534×	`add-sqr-sqrt`
522×	`associate-+r+`
520×	`pow1`
520×	`*-un-lft-identity`
496×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	205
1	515	189
2	7497	189

Stop Event

1×	node limit

Counts

3 → 139

Calls

Call 1

Inputs

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

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

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

Outputs

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simplify176.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1372×	`associate-+r-`
908×	`fma-def`
814×	`associate-r`
664×	`associate-l`
620×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	478	17191
1	1497	15261
2	7036	15225

Stop Event

1×	node limit

Counts

211 → 316

Calls

Call 1

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

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

localize36.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(*.f64 x (+.f64 eps 1))
✓	100.0%	(*.f64 x (-.f64 1 eps))
✓	100.0%	(exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))
✓	100.0%	(exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))

Compiler

Compiled 90 to 64 computations (28.9% saved)

series3.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite106.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1522×	`associate-*l/`
1206×	`distribute-lft-in`
740×	`associate-/r*`
402×	`associate-/r/`
312×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	68
1	298	52
2	3997	52

Stop Event

1×	node limit

Counts

4 → 442

Calls

Call 1

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

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

simplify189.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1030×	`associate-r`
978×	`associate-/r*`
950×	`associate-/l/`
796×	`associate-l`
678×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	997	15576
1	2720	14666

Stop Event

1×	node limit

Counts

538 → 676

Calls

Call 1

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

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

localize23.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(*.f64 (-.f64 eps 1) x)
✓	100.0%	(exp.f64 (*.f64 (-.f64 eps 1) x))
	100.0%	(exp.f64 (fma.f64 eps x x))
✓	100.0%	(/.f64 1 (exp.f64 (fma.f64 eps x x)))

Compiler

Compiled 66 to 33 computations (50% saved)

series4.0ms (0%)

Counts

3 → 32

Calls

18 calls:

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

rewrite76.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

960×	`unswap-sqr`
880×	`associate-*r/`
748×	`swap-sqr`
726×	`associate-*l/`
572×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	47
1	263	47
2	3194	47

Stop Event

1×	node limit

Counts

3 → 130

Calls

Call 1

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

Outputs

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

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

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

simplify84.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1046×	`associate-*r/`
948×	`associate-+r+`
846×	`associate-+l+`
734×	`associate-*l/`
668×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	392	4820
1	1058	4500
2	4165	4476

Stop Event

1×	node limit

Counts

162 → 232

Calls

Call 1

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

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

eval741.0ms (4.5%)

Compiler: Compiled 42216 to 27844 computations (34% saved)

prune487.0ms (2.9%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	1401	13	1414
Fresh	3	1	4
Picked	1	0	1
Done	3	1	4
Total	1408	15	1423

Accurracy

100.0%

Counts

1423 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f64 (-.f64 (pow.f64 (exp.f64 -1) (-.f64 x (.f64 eps x))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
▶	99.2%	(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
▶	74.4%	(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
	74.6%	(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
	32.3%	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 (.f64 x (-.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (E.f64) (fma.f64 eps x x)))) 2)
	74.8%	(/.f64 (+.f64 (/.f64 1 (+.f64 1 (.f64 (+.f64 eps 1) x))) (exp.f64 (.f64 (-.f64 eps 1) x))) 2)
	81.5%	(/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 x eps))) 2)
▶	99.2%	(/.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x))) (/.f64 x (exp.f64 x))) 2)
	74.1%	(/.f64 (+.f64 (+.f64 1 (neg.f64 (.f64 x (+.f64 1 eps)))) (exp.f64 (.f64 (-.f64 eps 1) x))) 2)
	98.6%	(/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (exp.f64 (.f64 (-.f64 eps 1) x))) 2)
▶	74.0%	(/.f64 (+.f64 1 (-.f64 (.f64 x eps) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 1 eps))))))) 2)
	74.1%	(/.f64 (+.f64 1 (exp.f64 (*.f64 (-.f64 eps 1) x))) 2)
▶	3.7%	(/.f64 (*.f64 x eps) 2)
✓	27.0%	(/.f64 0 2)
	74.6%	1

Compiler

Compiled 470 to 360 computations (23.4% saved)

localize51.0ms (0.3%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x 1) (exp.f64 x))
	100.0%	(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))

Compiler

Compiled 68 to 37 computations (45.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite59.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify72.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

44 → 55

Calls

Call 1

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

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

localize5.0ms (0%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (*.f64 x eps) 2)

Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite98.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

Outputs

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

simplify42.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

52 → 31

Calls

Call 1

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

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

localize47.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (.f64 x eps) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 1 eps))))))
✓	100.0%	(*.f64 x (+.f64 1 eps))
✓	100.0%	(exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps))))
✓	100.0%	(+.f64 1 (-.f64 (.f64 x eps) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 1 eps)))))))

Compiler

Compiled 80 to 52 computations (35% saved)

series5.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite134.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1558×	`associate-*l/`
702×	`associate-/r*`
444×	`associate-+l+`
438×	`associate-+r+`
320×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	114
1	310	84
2	4420	84

Stop Event

1×	node limit

Counts

4 → 446

Calls

Call 1

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

Outputs
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simplify219.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1112×	`associate-/r*`
1026×	`associate-r`
984×	`associate-l`
748×	`+-commutative`
614×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1028	25722
1	2763	24634

Stop Event

1×	node limit

Counts

542 → 754

Calls

Call 1

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

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

localize28.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(.f64 -1/2 (.f64 x x))
✓	100.0%	(-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
	100.0%	(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))

Compiler

Compiled 78 to 43 computations (44.9% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite128.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1084×	`associate-/r*`
782×	`associate-+l+`
650×	`associate-/r/`
466×	`associate-/l*`
436×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	62
1	330	48
2	4747	48

Stop Event

1×	node limit

Counts

2 → 210

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 -1/2 (*.f64 x x) (exp.f64 (+.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 -1/2 (*.f64 x x) (exp.f64 (+.f64 x (log1p.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 -1 (*.f64 -1/2 (*.f64 x x))) (exp.f64 (+.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 1/2 (*.f64 x x)) (exp.f64 (+.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (neg.f64 (*.f64 x (sqrt.f64 -1/2))) (*.f64 x (sqrt.f64 -1/2))) (exp.f64 (+.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) (cbrt.f64 (*.f64 -1/2 (*.f64 x x)))) (exp.f64 (+.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (neg.f64 (*.f64 -1/2 x)) x) (exp.f64 (+.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) 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(exp.f64 (+.f64 x (log1p.f64 x)))) (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) (exp.f64 (+.f64 x (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 (+.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2) (exp.f64 (+.f64 x (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 (+.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))) (fma.f64 (neg.f64 (exp.f64 x)) (+.f64 x -1) (exp.f64 (+.f64 x (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 (+.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))) (fma.f64 (exp.f64 (+.f64 x (log1p.f64 x))) -1 (exp.f64 (+.f64 x (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/2 (*.f64 x x) 1) (exp.f64 (+.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (fma.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 1 (exp.f64 (+.f64 x (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (fma.f64 (neg.f64 (neg.f64 (exp.f64 x))) (+.f64 1 x) (exp.f64 (+.f64 x (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) (exp.f64 (+.f64 x (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2) (exp.f64 (+.f64 x (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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simplify179.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1368×	`associate-+r-`
992×	`fma-def`
834×	`associate-+l+`
786×	`associate-+r+`
676×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	495	17126
1	1310	16732
2	5924	15558

Stop Event

1×	node limit

Counts

234 → 373

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 x (exp.f64 x))
✓	100.0%	(+.f64 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
✓	100.0%	(/.f64 2 (exp.f64 x))
✓	100.0%	(+.f64 (+.f64 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x))) (/.f64 x (exp.f64 x)))

Compiler

Compiled 53 to 20 computations (62.3% saved)

series5.0ms (0%)

Counts

4 → 32

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(+.f64 (+.f64 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x))) (/.f64 x (exp.f64 x)))
1.0ms	x	@	-inf	(+.f64 (+.f64 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x))) (/.f64 x (exp.f64 x)))
0.0ms	x	@	-inf	(/.f64 x (exp.f64 x))
0.0ms	x	@	inf	(/.f64 2 (exp.f64 x))
0.0ms	x	@	-inf	(/.f64 2 (exp.f64 x))

rewrite143.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1672×	`associate-/r*`
1132×	`distribute-lft-in`
942×	`associate-/l*`
688×	`associate-/r/`
374×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	92
1	230	80
2	3565	76

Stop Event

1×	node limit

Counts

4 → 314

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 2 (exp.f64 x)) (.f64 2 (/.f64 x (exp.f64 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2 (exp.f64 x)))) (-.f64 1 (.f64 2 (/.f64 x (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2)))) (-.f64 1 (/.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (exp.f64 x)))) (-.f64 1 (.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (-.f64 x 2)) (exp.f64 x)) (-.f64 (.f64 (/.f64 (/.f64 4 (pow.f64 (exp.f64 x) 2)) (-.f64 x 2)) (exp.f64 x)) (/.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2)) 2) (-.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2)) (/.f64 x (exp.f64 x)))) (/.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (-.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2)) (/.f64 x (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (log1p.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 x (exp.f64 x)) (.f64 (/.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (-.f64 x 2)) (exp.f64 x))) (.f64 (/.f64 (/.f64 4 (pow.f64 (exp.f64 x) 2)) (-.f64 x 2)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2)) (exp.f64 (log1p.f64 (/.f64 x (exp.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 2 (/.f64 x (exp.f64 x))) (exp.f64 (log1p.f64 (/.f64 2 (exp.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 2 (exp.f64 x)) (.f64 2 (/.f64 x (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 2 (exp.f64 x)) (.f64 2 (/.f64 x (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify181.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1358×	`associate-l`
942×	`*-commutative`
884×	`associate-/r*`
758×	`associate-/l*`
646×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	892	24538
1	2571	23540

Stop Event

1×	node limit

Counts

346 → 537

Calls

Call 1

Inputs
2
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 2/3 (pow.f64 x 3))))
(+.f64 2 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -1/4 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 3)))))
(*.f64 2 (/.f64 x (exp.f64 x)))
(+.f64 (.f64 2 (/.f64 x (exp.f64 x))) (.f64 2 (/.f64 1 (exp.f64 x))))
(+.f64 (.f64 2 (/.f64 x (exp.f64 x))) (.f64 2 (/.f64 1 (exp.f64 x))))
(+.f64 (.f64 2 (/.f64 x (exp.f64 x))) (.f64 2 (/.f64 1 (exp.f64 x))))
(*.f64 2 (/.f64 x (exp.f64 x)))
(+.f64 (.f64 2 (/.f64 x (exp.f64 x))) (.f64 2 (/.f64 1 (exp.f64 x))))
(+.f64 (.f64 2 (/.f64 x (exp.f64 x))) (.f64 2 (/.f64 1 (exp.f64 x))))
(+.f64 (.f64 2 (/.f64 x (exp.f64 x))) (.f64 2 (/.f64 1 (exp.f64 x))))
2
(+.f64 2 (*.f64 -2 x))
(+.f64 2 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 2 (+.f64 (.f64 -2 x) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (pow.f64 x 2))))
2
(+.f64 2 (*.f64 -1 x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 (.f64 -1 x)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 -1 x) (*.f64 -1/12 (pow.f64 x 4)))))
(/.f64 x (exp.f64 x))
(+.f64 (*.f64 2 (/.f64 1 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 1 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 1 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(/.f64 x (exp.f64 x))
(+.f64 (*.f64 2 (/.f64 1 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 1 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 1 (exp.f64 x))) (/.f64 x (exp.f64 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)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 2 (exp.f64 x)) (*.f64 2 (/.f64 x (exp.f64 x)))))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (exp.f64 x)))) (-.f64 1 (*.f64 2 (/.f64 x (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2)))) (-.f64 1 (/.f64 x (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (exp.f64 x)))) (-.f64 1 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2))))
(-.f64 (.f64 (/.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (-.f64 x 2)) (exp.f64 x)) (-.f64 (.f64 (/.f64 (/.f64 4 (pow.f64 (exp.f64 x) 2)) (-.f64 x 2)) (exp.f64 x)) (/.f64 x (exp.f64 x))))
(-.f64 (/.f64 (pow.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2)) 2) (-.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2)) (/.f64 x (exp.f64 x)))) (/.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2)) (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (log1p.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2))))) 1)
(-.f64 (+.f64 (/.f64 x (exp.f64 x)) (.f64 (/.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (-.f64 x 2)) (exp.f64 x))) (.f64 (/.f64 (/.f64 4 (pow.f64 (exp.f64 x) 2)) (-.f64 x 2)) (exp.f64 x)))
(-.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2)) (exp.f64 (log1p.f64 (/.f64 x (exp.f64 x))))) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (exp.f64 (log1p.f64 (/.f64 2 (exp.f64 x))))) 1)
(.f64 (+.f64 (/.f64 2 (exp.f64 x)) (.f64 2 (/.f64 x (exp.f64 x)))) 1)
(.f64 1 (+.f64 (/.f64 2 (exp.f64 x)) (.f64 2 (/.f64 x (exp.f64 x)))))
(.f64 (sqrt.f64 (+.f64 (/.f64 2 (exp.f64 x)) (.f64 2 (/.f64 x (exp.f64 x))))) (sqrt.f64 (+.f64 (/.f64 2 (exp.f64 x)) (*.f64 2 (/.f64 x (exp.f64 x))))))
(.f64 (cbrt.f64 (+.f64 (/.f64 2 (exp.f64 x)) (.f64 2 (/.f64 x (exp.f64 x))))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (exp.f64 x)) (*.f64 2 (/.f64 x (exp.f64 x))))) 2))
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(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (/.f64 4 (pow.f64 (exp.f64 x) 2))) (+.f64 (sqrt.f64 (/.f64 2 (exp.f64 x))) (sqrt.f64 (/.f64 x (exp.f64 x))))) (-.f64 (sqrt.f64 (/.f64 x (exp.f64 x))) (sqrt.f64 (/.f64 2 (exp.f64 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 3) (/.f64 8 (pow.f64 (exp.f64 x) 3))) 1) (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 (/.f64 2 (exp.f64 x)) (-.f64 (/.f64 2 (exp.f64 x)) (/.f64 x (exp.f64 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 3) (/.f64 8 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (.f64 (/.f64 2 (exp.f64 x)) (-.f64 (/.f64 2 (exp.f64 x)) (/.f64 x (exp.f64 x))))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (.f64 (/.f64 2 (exp.f64 x)) (-.f64 (/.f64 2 (exp.f64 x)) (/.f64 x (exp.f64 x)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 3) (/.f64 8 (pow.f64 (exp.f64 x) 3))) (.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (.f64 (/.f64 2 (exp.f64 x)) (-.f64 (/.f64 2 (exp.f64 x)) (/.f64 x (exp.f64 x)))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (.f64 (/.f64 2 (exp.f64 x)) (-.f64 (/.f64 2 (exp.f64 x)) (/.f64 x (exp.f64 x)))))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (.f64 (/.f64 2 (exp.f64 x)) (-.f64 (/.f64 2 (exp.f64 x)) (/.f64 x (exp.f64 x)))))))
(/.f64 (/.f64 (fma.f64 x (exp.f64 x) (.f64 (exp.f64 x) 2)) (.f64 (exp.f64 x) (sqrt.f64 (exp.f64 x)))) (sqrt.f64 (exp.f64 x)))
(/.f64 (/.f64 (fma.f64 x (exp.f64 x) (.f64 (exp.f64 x) 2)) (.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))
(/.f64 (/.f64 (fma.f64 x (exp.f64 x) (.f64 (exp.f64 x) 2)) (.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))) (cbrt.f64 (exp.f64 x)))
(/.f64 (/.f64 (/.f64 (fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) 2)) (exp.f64 x)) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))
(/.f64 (/.f64 (/.f64 (fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) 2)) (exp.f64 x)) (cbrt.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))
(/.f64 (/.f64 (/.f64 (fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) 2)) (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))
(/.f64 (/.f64 (+.f64 (exp.f64 x) (.f64 x (.f64 (exp.f64 x) 1/2))) (exp.f64 x)) (*.f64 (exp.f64 x) 1/2))
(/.f64 (/.f64 (+.f64 (.f64 x (neg.f64 (exp.f64 x))) (.f64 (exp.f64 x) -2)) (exp.f64 x)) (neg.f64 (exp.f64 x)))
(/.f64 (/.f64 (+.f64 (exp.f64 x) (*.f64 (/.f64 (exp.f64 x) x) 2)) (/.f64 (exp.f64 x) x)) (exp.f64 x))
(/.f64 (/.f64 (+.f64 (.f64 (exp.f64 x) 1/2) (.f64 (/.f64 (exp.f64 x) x) 1)) (/.f64 (exp.f64 x) x)) (*.f64 (exp.f64 x) 1/2))
(/.f64 (/.f64 (+.f64 (neg.f64 (exp.f64 x)) (*.f64 (/.f64 (exp.f64 x) x) -2)) (/.f64 (exp.f64 x) x)) (neg.f64 (exp.f64 x)))
(/.f64 (/.f64 (+.f64 (.f64 (neg.f64 x) (exp.f64 x)) (.f64 (neg.f64 (exp.f64 x)) 2)) (neg.f64 (exp.f64 x))) (exp.f64 x))
(/.f64 (/.f64 (+.f64 (.f64 (neg.f64 x) (.f64 (exp.f64 x) 1/2)) (.f64 (neg.f64 (exp.f64 x)) 1)) (neg.f64 (exp.f64 x))) (.f64 (exp.f64 x) 1/2))
(/.f64 (/.f64 (+.f64 (.f64 (neg.f64 x) (neg.f64 (exp.f64 x))) (.f64 (neg.f64 (exp.f64 x)) -2)) (neg.f64 (exp.f64 x))) (neg.f64 (exp.f64 x)))
(/.f64 (/.f64 (+.f64 (exp.f64 x) (*.f64 2 (/.f64 (exp.f64 x) x))) (exp.f64 x)) (/.f64 (exp.f64 x) x))
(/.f64 (/.f64 (+.f64 (.f64 2 (neg.f64 (exp.f64 x))) (.f64 (exp.f64 x) (neg.f64 x))) (exp.f64 x)) (neg.f64 (exp.f64 x)))
(/.f64 (/.f64 (+.f64 (exp.f64 x) (.f64 (.f64 (exp.f64 x) 1/2) x)) (*.f64 (exp.f64 x) 1/2)) (exp.f64 x))
(/.f64 (/.f64 (+.f64 (/.f64 (exp.f64 x) x) (.f64 (.f64 (exp.f64 x) 1/2) 1)) (*.f64 (exp.f64 x) 1/2)) (/.f64 (exp.f64 x) x))
(/.f64 (/.f64 (+.f64 (neg.f64 (exp.f64 x)) (.f64 (.f64 (exp.f64 x) 1/2) (neg.f64 x))) (*.f64 (exp.f64 x) 1/2)) (neg.f64 (exp.f64 x)))
(/.f64 (/.f64 (+.f64 (.f64 -2 (exp.f64 x)) (.f64 (neg.f64 (exp.f64 x)) x)) (neg.f64 (exp.f64 x))) (exp.f64 x))
(/.f64 (/.f64 (+.f64 (.f64 (neg.f64 (exp.f64 x)) 1) (.f64 -2 (/.f64 (exp.f64 x) x))) (neg.f64 (exp.f64 x))) (/.f64 (exp.f64 x) x))
(/.f64 (/.f64 (+.f64 (.f64 -2 (neg.f64 (exp.f64 x))) (.f64 (neg.f64 (exp.f64 x)) (neg.f64 x))) (neg.f64 (exp.f64 x))) (neg.f64 (exp.f64 x)))
(pow.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2)) 1)
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2))) 3)
(pow.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2)) 2))
(log.f64 (exp.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2)))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2))))
(exp.f64 (log.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2))))
(exp.f64 (.f64 (log.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2))))
(fma.f64 x (exp.f64 (neg.f64 x)) (/.f64 2 (exp.f64 x)))
(fma.f64 2 (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x)))
(fma.f64 1 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(fma.f64 1 (/.f64 2 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(fma.f64 (sqrt.f64 (/.f64 2 (exp.f64 x))) (sqrt.f64 (/.f64 2 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(fma.f64 (sqrt.f64 (/.f64 x (exp.f64 x))) (sqrt.f64 (/.f64 x (exp.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 x (exp.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) 2) (cbrt.f64 (/.f64 x (exp.f64 x))) (/.f64 2 (exp.f64 x)))
(+.f64 (.f64 (exp.f64 (neg.f64 x)) (log.f64 (sqrt.f64 (exp.f64 x)))) (.f64 (exp.f64 (neg.f64 x)) (log.f64 (sqrt.f64 (exp.f64 x)))))
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) 0) (/.f64 x (exp.f64 x)))
(+.f64 (.f64 (exp.f64 (neg.f64 x)) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2))) (.f64 (exp.f64 (neg.f64 x)) (log.f64 (cbrt.f64 (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (exp.f64 x)))) 1)
(*.f64 x (exp.f64 (neg.f64 x)))
(*.f64 (/.f64 x (exp.f64 x)) 1)
(*.f64 1 (/.f64 x (exp.f64 x)))
(*.f64 (sqrt.f64 (/.f64 x (exp.f64 x))) (sqrt.f64 (/.f64 x (exp.f64 x))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) 2) (cbrt.f64 (/.f64 x (exp.f64 x))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) x)
(*.f64 (neg.f64 x) (/.f64 -1 (exp.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 x (sqrt.f64 (exp.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 x (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 -1 (exp.f64 x)) (neg.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (exp.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (exp.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (exp.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (/.f64 x (exp.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (exp.f64 x)) (cbrt.f64 x))
(*.f64 (/.f64 1 (/.f64 (exp.f64 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(pow.f64 (/.f64 x (exp.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) 3)
(pow.f64 (/.f64 (exp.f64 x) x) -1)
(pow.f64 (pow.f64 (/.f64 x (exp.f64 x)) 3) 1/3)
(neg.f64 (/.f64 x (neg.f64 (exp.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 x (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (exp.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 x (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (exp.f64 x))))
(exp.f64 (-.f64 (log.f64 x) x))
(exp.f64 (*.f64 (-.f64 (log.f64 x) x) 1))
(log1p.f64 (expm1.f64 (/.f64 x (exp.f64 x))))

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

eval1.4s (8.2%)

Compiler: Compiled 60387 to 32047 computations (46.9% saved)

prune691.0ms (4.2%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	1914	11	1925
Fresh	2	7	9
Picked	1	0	1
Done	3	2	5
Total	1920	20	1940

Accurracy

100.0%

Counts

1940 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.1%	(/.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (exp.f64 x)) (*.f64 2 (/.f64 x (exp.f64 x))))) 2) 2)
	74.4%	(/.f64 (-.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 -1/8 x))) -1/2))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
	74.2%	(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 1)) 2)
	32.3%	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 (.f64 x (-.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (E.f64) (fma.f64 eps x x)))) 2)
▶	74.3%	(/.f64 (-.f64 2 (*.f64 x x)) 2)
▶	74.8%	(/.f64 (+.f64 (/.f64 1 (+.f64 1 (.f64 (+.f64 eps 1) x))) (exp.f64 (.f64 (-.f64 eps 1) x))) 2)
	81.5%	(/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 x eps))) 2)
	74.6%	(/.f64 (+.f64 (-.f64 2 x) (/.f64 x (exp.f64 x))) 2)
	74.1%	(/.f64 (+.f64 (+.f64 1 (neg.f64 (.f64 x (+.f64 1 eps)))) (exp.f64 (.f64 (-.f64 eps 1) x))) 2)
	99.2%	(/.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2)) (/.f64 x (exp.f64 x))) 2)
	98.6%	(/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (exp.f64 (.f64 (-.f64 eps 1) x))) 2)
	74.0%	(/.f64 (+.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) (+.f64 1 (.f64 eps x))) 2)
	73.8%	(/.f64 (+.f64 2 (*.f64 (+.f64 eps (-.f64 -1 eps)) x)) 2)
▶	73.3%	(/.f64 (+.f64 1 (-.f64 (.f64 x eps) (neg.f64 (pow.f64 (exp.f64 -1) (.f64 x (-.f64 -1 eps)))))) 2)
	74.3%	(/.f64 (+.f64 1 (-.f64 (*.f64 x eps) (neg.f64 1))) 2)
▶	74.1%	(/.f64 (+.f64 1 (exp.f64 (*.f64 (-.f64 eps 1) x))) 2)
▶	99.2%	(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (+.f64 2 x))) 2)
✓	3.7%	(/.f64 (*.f64 x eps) 2)
✓	27.0%	(/.f64 0 2)
	74.6%	1

Compiler

Compiled 585 to 453 computations (22.6% saved)

localize15.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 x (+.f64 2 x))
✓	100.0%	(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (+.f64 2 x)))

Compiler

Compiled 37 to 20 computations (45.9% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1330×	`associate-*l/`
1018×	`*-commutative`
874×	`distribute-lft-in`
824×	`distribute-rgt-in`
488×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	225	36
2	3188	36

Stop Event

1×	node limit

Counts

2 → 158

Calls

Call 1

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

Outputs

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

simplify123.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1230×	`associate-+r+`
900×	`associate-/l*`
870×	`+-commutative`
758×	`associate-r`
758×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	422	8274
1	1275	7406
2	7623	7406

Stop Event

1×	node limit

Counts

182 → 288

Calls

Call 1

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

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

localize8.0ms (0%)

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

localize16.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 1 (exp.f64 (*.f64 (-.f64 eps 1) x)))
	100.0%	(*.f64 (-.f64 eps 1) x)
	100.0%	(exp.f64 (*.f64 (-.f64 eps 1) x))

Compiler

Compiled 38 to 27 computations (28.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite127.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

882×	`*-commutative`
810×	`associate-*r/`
704×	`unswap-sqr`
616×	`associate-*l/`
518×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	208	23
2	2650	23

Stop Event

1×	node limit

Counts

1 → 78

Calls

Call 1

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

Outputs

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

simplify99.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1334×	`associate-/l*`
1018×	`distribute-lft-in`
978×	`associate-/r*`
972×	`*-commutative`
886×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	260	6010
1	749	5804
2	2658	5782

Stop Event

1×	node limit

Counts

90 → 161

Calls

Call 1

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

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

localize31.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 eps 1) x)
	100.0%	(*.f64 (-.f64 eps 1) x)
	100.0%	(exp.f64 (*.f64 (-.f64 eps 1) x))
✓	100.0%	(/.f64 1 (+.f64 1 (*.f64 (+.f64 eps 1) x)))

Compiler

Compiled 78 to 56 computations (28.2% saved)

series3.0ms (0%)

Counts

2 → 44

Calls

12 calls:

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

rewrite71.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1092×	`associate-*r/`
838×	`*-commutative`
768×	`associate-*l/`
624×	`distribute-lft-in`
616×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	196	34
2	2601	34

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

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

Outputs

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

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

simplify89.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1770×	`associate-/r*`
1018×	`associate-+r+`
998×	`associate-+l+`
818×	`associate-*r/`
632×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	354	5676
1	996	5198
2	3915	5184

Stop Event

1×	node limit

Counts

142 → 234

Calls

Call 1

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

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

localize58.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (.f64 x eps) (neg.f64 (pow.f64 (exp.f64 -1) (.f64 x (-.f64 -1 eps)))))
✓	100.0%	(+.f64 1 (-.f64 (.f64 x eps) (neg.f64 (pow.f64 (exp.f64 -1) (.f64 x (-.f64 -1 eps))))))
✓	100.0%	(*.f64 x (-.f64 -1 eps))
✓	100.0%	(pow.f64 (exp.f64 -1) (*.f64 x (-.f64 -1 eps)))

Compiler

Compiled 82 to 56 computations (31.7% saved)

series3.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite156.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1736×	`associate-*r/`
1282×	`associate-*l/`
360×	`associate-+l+`
338×	`add-sqr-sqrt`
330×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	120
1	328	98
2	4480	98

Stop Event

1×	node limit

Counts

4 → 262

Calls

Call 1

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

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

simplify171.0ms (1%)

Algorithm

1×	egg-herbie

Rules

858×	`associate-r`
784×	`associate-l`
768×	`times-frac`
736×	`associate-/l*`
648×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	696	19740
1	1780	15326

Stop Event

1×	node limit

Counts

358 → 465

Calls

Call 1

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

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

eval963.0ms (5.8%)

Compiler: Compiled 42113 to 28232 computations (33% saved)

prune532.0ms (3.2%)

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	1470	8	1478
Fresh	10	3	13
Picked	1	0	1
Done	2	4	6
Total	1483	15	1498

Accurracy

100.0%

Counts

1498 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(/.f64 (/.f64 (+.f64 x (+.f64 x 2)) (exp.f64 x)) 2)
	74.2%	(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 1)) 2)
✓	74.3%	(/.f64 (-.f64 2 (*.f64 x x)) 2)
	73.9%	(/.f64 (+.f64 (/.f64 1 (+.f64 1 (.f64 (+.f64 eps 1) x))) (+.f64 1 (-.f64 (.f64 x eps) x))) 2)
	98.6%	(/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (exp.f64 (.f64 (-.f64 eps 1) x))) 2)
	73.6%	(/.f64 (+.f64 2 (*.f64 (-.f64 eps 1) x)) 2)
	73.5%	(/.f64 (+.f64 2 (.f64 (+.f64 (.f64 2 eps) 1) x)) 2)
	74.2%	(/.f64 (+.f64 1 (pow.f64 (E.f64) (-.f64 (*.f64 x eps) x))) 2)
	74.6%	(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
	97.0%	(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x 2))) 3)) 2)
✓	99.2%	(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (+.f64 2 x))) 2)
✓	3.7%	(/.f64 (*.f64 x eps) 2)
	99.2%	(/.f64 (.f64 2 (+.f64 (.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))) 2)
✓	27.0%	(/.f64 0 2)
	74.6%	1

Compiler

Compiled 179 to 141 computations (21.2% saved)

regimes116.0ms (0.7%)

Counts

46 → 1

Calls

Call 1

Inputs
1
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 x eps) 2)
(/.f64 (-.f64 2 (*.f64 x x)) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 eps 1) x)) 2)
(/.f64 (+.f64 1 (-.f64 (*.f64 x eps) (neg.f64 1))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 eps (-.f64 -1 eps)) x)) 2)
(/.f64 (+.f64 2 (.f64 (+.f64 (.f64 2 eps) 1) x)) 2)
(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 1)) 2)
(/.f64 (+.f64 (/.f64 1 (+.f64 1 (.f64 (+.f64 eps 1) x))) (+.f64 1 (-.f64 (.f64 x eps) x))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 (-.f64 eps 1) x))) 2)
(/.f64 (+.f64 (-.f64 2 x) (/.f64 x (exp.f64 x))) 2)
(/.f64 (/.f64 (+.f64 x (+.f64 x 2)) (exp.f64 x)) 2)
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (+.f64 2 x))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
(/.f64 (+.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) (+.f64 1 (.f64 eps x))) 2)
(/.f64 (+.f64 1 (-.f64 (.f64 x eps) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 1 eps))))))) 2)
(/.f64 (+.f64 (+.f64 1 (neg.f64 (.f64 x (+.f64 1 eps)))) (exp.f64 (.f64 (-.f64 eps 1) x))) 2)
(/.f64 (+.f64 (/.f64 1 (+.f64 1 (.f64 (+.f64 eps 1) x))) (exp.f64 (.f64 (-.f64 eps 1) x))) 2)
(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 -1/8 x))) -1/2))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 (.f64 x (-.f64 1 eps)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (+.f64 (neg.f64 eps) -1))))) 2)
(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
(/.f64 (+.f64 1 (pow.f64 (E.f64) (-.f64 (*.f64 x eps) x))) 2)
(/.f64 (.f64 2 (+.f64 (.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))) 2)
(/.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2)) (/.f64 x (exp.f64 x))) 2)
(/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (exp.f64 (.f64 (-.f64 eps 1) x))) 2)
(/.f64 (+.f64 1 (-.f64 (.f64 x eps) (neg.f64 (pow.f64 (exp.f64 -1) (.f64 x (-.f64 -1 eps)))))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
(/.f64 (-.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x 2))) 3)) 2)
(/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 x eps))) 2)
(/.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x))) (/.f64 x (exp.f64 x))) 2)
(/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 (-.f64 eps 1) x))) 2)
(/.f64 (-.f64 (pow.f64 (exp.f64 -1) (-.f64 x (.f64 eps x))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 (.f64 x (-.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (E.f64) (fma.f64 eps x 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 (pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (exp.f64 x)) (*.f64 2 (/.f64 x (exp.f64 x))))) 2) 2)
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))))
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (E.f64) (fma.f64 x eps x)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))))

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

Calls

4 calls:

63.0ms	x
24.0ms	eps
6.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))
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

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`eps`
99.2%	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)`
99.2%	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 797 to 542 computations (32% saved)

regimes44.0ms (0.3%)

Counts

30 → 1

Calls

Call 1

Inputs
1
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 x eps) 2)
(/.f64 (-.f64 2 (*.f64 x x)) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 eps 1) x)) 2)
(/.f64 (+.f64 1 (-.f64 (*.f64 x eps) (neg.f64 1))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 eps (-.f64 -1 eps)) x)) 2)
(/.f64 (+.f64 2 (.f64 (+.f64 (.f64 2 eps) 1) x)) 2)
(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 1)) 2)
(/.f64 (+.f64 (/.f64 1 (+.f64 1 (.f64 (+.f64 eps 1) x))) (+.f64 1 (-.f64 (.f64 x eps) x))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 (-.f64 eps 1) x))) 2)
(/.f64 (+.f64 (-.f64 2 x) (/.f64 x (exp.f64 x))) 2)
(/.f64 (/.f64 (+.f64 x (+.f64 x 2)) (exp.f64 x)) 2)
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (+.f64 2 x))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
(/.f64 (+.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) (+.f64 1 (.f64 eps x))) 2)
(/.f64 (+.f64 1 (-.f64 (.f64 x eps) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 1 eps))))))) 2)
(/.f64 (+.f64 (+.f64 1 (neg.f64 (.f64 x (+.f64 1 eps)))) (exp.f64 (.f64 (-.f64 eps 1) x))) 2)
(/.f64 (+.f64 (/.f64 1 (+.f64 1 (.f64 (+.f64 eps 1) x))) (exp.f64 (.f64 (-.f64 eps 1) x))) 2)
(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 -1/8 x))) -1/2))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 (.f64 x (-.f64 1 eps)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (+.f64 (neg.f64 eps) -1))))) 2)
(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
(/.f64 (+.f64 1 (pow.f64 (E.f64) (-.f64 (*.f64 x eps) x))) 2)
(/.f64 (.f64 2 (+.f64 (.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))) 2)
(/.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2)) (/.f64 x (exp.f64 x))) 2)
(/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (exp.f64 (.f64 (-.f64 eps 1) x))) 2)
(/.f64 (+.f64 1 (-.f64 (.f64 x eps) (neg.f64 (pow.f64 (exp.f64 -1) (.f64 x (-.f64 -1 eps)))))) 2)

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

Calls

2 calls:

17.0ms	eps
15.0ms	x

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`eps`

Compiler

Compiled 399 to 278 computations (30.3% saved)

regimes21.0ms (0.1%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	eps
8.0ms	x

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`eps`

Compiler

Compiled 137 to 100 computations (27% saved)

regimes95.0ms (0.6%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

2 calls:

52.0ms	x
38.0ms	eps

Results

Accuracy	Segments	Branch
98.6%	2	`x`
78.6%	5	`eps`

Compiler

Compiled 127 to 94 computations (26% saved)

bsearch113.0ms (0.7%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
112.0ms	1.0234050159638024	23965.222130281894

Results

50.0ms	12×	body	2048	valid
36.0ms	68×	body	1024	valid
9.0ms	60×	body	256	infinite
8.0ms	26×	body	512	valid
6.0ms	22×	body	256	valid

Compiler

Compiled 188 to 157 computations (16.5% saved)

regimes57.0ms (0.3%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

2 calls:

37.0ms	eps
17.0ms	x

Results

Accuracy	Segments	Branch
98.6%	2	`x`
78.6%	5	`eps`

Compiler

Compiled 117 to 87 computations (25.6% saved)

bsearch66.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
66.0ms	1.0234050159638024	23965.222130281894

Results

33.0ms	63×	body	1024	valid
10.0ms	27×	body	512	valid
9.0ms	9×	body	2048	valid
7.0ms	45×	body	256	infinite
5.0ms	29×	body	256	valid

Compiler

Compiled 164 to 141 computations (14% saved)

regimes74.0ms (0.4%)

Accuracy

Total -61.2b remaining (-6223.1%)

Threshold costs -61.2b (-6223.1%)

Counts

4 → 2

Calls

Call 1

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

Outputs
1
(/.f64 0 2)

Calls

2 calls:

62.0ms	eps
11.0ms	x

Results

Accuracy	Segments	Branch
98.5%	2	`x`
78.4%	5	`eps`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch97.0ms (0.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
97.0ms	1.0234050159638024	23965.222130281894

Results

69.0ms	58×	body	1024	valid
8.0ms	24×	body	512	valid
7.0ms	47×	body	256	infinite
7.0ms	40×	body	256	valid
5.0ms	6×	body	2048	valid

Compiler

Compiled 116 to 109 computations (6% saved)

simplify26.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

126×	`*-commutative`
96×	`distribute-lft-neg-in`
74×	`+-commutative`
60×	`distribute-neg-in`
60×	`neg-sub0`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	195
1	67	191
2	98	191
3	130	191
4	162	191
5	191	191
6	232	191
7	283	191
8	322	191
9	345	191
10	357	191
11	367	191
12	374	191
13	376	191

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (+.f64 2 x))) 2)
(/.f64 (/.f64 (+.f64 x (+.f64 x 2)) (exp.f64 x)) 2)
(if (<=.f64 x 2476979795053773/1125899906842624) (/.f64 (+.f64 (-.f64 2 x) (/.f64 x (exp.f64 x))) 2) (/.f64 0 2))
(if (<=.f64 x 3152519739159347/2251799813685248) (/.f64 (-.f64 2 (*.f64 x x)) 2) (/.f64 0 2))
(if (<=.f64 x 360) 1 (/.f64 0 2))
1

Outputs
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (*.f64 (neg.f64 (+.f64 x 1)) (exp.f64 (neg.f64 x)))) 2)
(/.f64 (+.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) 2)
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (+.f64 2 x))) 2)
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (+.f64 x 2))) 2)
(/.f64 (/.f64 (+.f64 x (+.f64 x 2)) (exp.f64 x)) 2)
(if (<=.f64 x 2476979795053773/1125899906842624) (/.f64 (+.f64 (-.f64 2 x) (/.f64 x (exp.f64 x))) 2) (/.f64 0 2))
(if (<=.f64 x 2476979795053773/1125899906842624) (/.f64 (+.f64 (-.f64 2 x) (/.f64 x (exp.f64 x))) 2) 0)
(if (<=.f64 x 3152519739159347/2251799813685248) (/.f64 (-.f64 2 (*.f64 x x)) 2) (/.f64 0 2))
(if (<=.f64 x 3152519739159347/2251799813685248) (/.f64 (-.f64 2 (*.f64 x x)) 2) 0)
(if (<=.f64 x 360) 1 (/.f64 0 2))
(if (<=.f64 x 360) 1 0)
1

Compiler

Compiled 85 to 67 computations (21.2% saved)

soundness217.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

1306×	`fma-def`
1196×	`associate-/l*`
1030×	`associate-l`
1026×	`times-frac`
972×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	89
1	60	89
2	162	73
3	511	73
4	1723	73
0	792	35706
1	2160	29944

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 363 to 272 computations (25.1% saved)

end54.0ms (0.3%)

Compiler: Compiled 73 to 51 computations (30.1% saved)

Iter	Nodes	Cost
0	44	195
1	67	191
2	98	191
3	130	191
4	162	191
5	191	191
6	232	191
7	283	191
8	322	191
9	345	191
10	357	191
11	367	191
12	374	191
13	376	191

Iter	Nodes	Cost
0	44	195
1	67	191
2	98	191
3	130	191
4	162	191
5	191	191
6	232	191
7	283	191
8	322	191
9	345	191
10	357	191
11	367	191
12	374	191
13	376	191

Iter	Nodes	Cost
0	44	195
1	67	191
2	98	191
3	130	191
4	162	191
5	191	191
6	232	191
7	283	191
8	322	191
9	345	191
10	357	191
11	367	191
12	374	191
13	376	191