Details

analyze193.0ms (2.3%)

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)

sample3.3s (39.3%)

Results

1.3s	2086×	body	1024	valid
1.1s	4972×	body	256	valid
430.0ms	984×	body	512	valid
219.0ms	214×	body	2048	valid
103.0ms	504×	body	256	infinite
96.0ms	446×	body	256	unsamplable
13.0ms	26×	body	1024	infinite
3.0ms	10×	body	512	infinite

Bogosity

preprocess48.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

572×	`associate-*l/_binary64`
464×	`associate-/l/_binary64`
345×	`associate-/r/_binary64`
239×	`fma-def_binary64`
238×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	90
1	103	90
2	299	74
3	1028	74
4	3311	74
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

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

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

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

Compiler

Compiled 33 to 27 computations (18.2% saved)

simplify32.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

750×	`times-frac_binary64`
534×	`cancel-sign-sub-inv_binary64`
519×	`fma-neg_binary64`
479×	`associate-/l*_binary64`
366×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	45
1	57	45
2	159	37
3	541	37
4	1697	37

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

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

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

eval3.0ms (0%)

Compiler: Compiled 164 to 118 computations (28% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

28.8b

Counts

7 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.5b	(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
▶	28.8b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))) 2)

Status

Error

Program

▶

29.5b

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

▶

28.8b

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

Compiler

Compiled 58 to 44 computations (24.1% saved)

localize51.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 136 to 92 computations (32.4% saved)

series18.0ms (0.2%)

Counts

4 → 84

Calls

21 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)))))
3.0ms	x	@	-inf	(*.f64 (+.f64 1 eps) (neg.f64 x))
1.0ms	x	@	0	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x)))))
1.0ms	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)))))

rewrite106.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

866×	`fma-def_binary64`
347×	`fma-neg_binary64`
329×	`expm1-udef_binary64`
328×	`log1p-udef_binary64`
204×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	67
1	403	57
2	5744	50

Stop Event

1×	node limit

Counts

4 → 304

Calls

Call 1

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

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

simplify277.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

566×	`fma-neg_binary64`
402×	`times-frac_binary64`
316×	`associate-r_binary64`
273×	`associate-l_binary64`
251×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	660	13239
1	1685	12416
2	5647	12269

Stop Event

1×	node limit

Counts

388 → 460

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

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

localize58.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (/.f64 -1 eps))
✓	0.0b	(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
✓	0.0b	(pow.f64 (exp.f64 x) (+.f64 eps -1))
✓	3.1b	(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))

Compiler

Compiled 102 to 58 computations (43.1% saved)

series60.0ms (0.7%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
27.0ms	x	@	inf	(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
23.0ms	x	@	-inf	(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
2.0ms	eps	@	0	(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
2.0ms	x	@	0	(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
1.0ms	eps	@	inf	(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))

rewrite90.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

641×	`prod-diff_binary64`
325×	`fma-def_binary64`
263×	`expm1-udef_binary64`
263×	`log1p-udef_binary64`
232×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	66
1	351	64
2	5038	64

Stop Event

1×	node limit

Counts

4 → 120

Calls

Call 1

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

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

simplify147.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

500×	`fma-neg_binary64`
477×	`cancel-sign-sub-inv_binary64`
293×	`associate-r_binary64`
261×	`fma-def_binary64`
217×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	446	4905
1	1325	4534
2	5188	4490

Stop Event

1×	node limit

Counts

204 → 265

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

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

eval534.0ms (6.4%)

Compiler: Compiled 31626 to 20064 computations (36.6% saved)

prune237.0ms (2.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	720	5	725
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	722	5	727

Error

Counts

727 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	47.9b	(/.f64 (pow.f64 (sqrt.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))) 2) 2)
▶	0.4b	(/.f64 (-.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
▶	0.6b	(/.f64 (-.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
▶	18.0b	(/.f64 2 2)
▶	44.8b	(/.f64 0 2)

Compiler

Compiled 162 to 128 computations (21% saved)

localize21.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 62 to 33 computations (46.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite58.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify57.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

36 → 59

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize3.0ms (0%)

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

localize67.0ms (0.8%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 103 to 77 computations (25.2% saved)

series8.0ms (0.1%)

Counts

3 → 44

Calls

18 calls:

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

rewrite83.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

667×	`log-prod_binary64`
665×	`prod-diff_binary64`
435×	`fma-def_binary64`
219×	`expm1-udef_binary64`
219×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	38
1	319	34
2	4423	30

Stop Event

1×	node limit

Counts

3 → 237

Calls

Call 1

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

Outputs

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

simplify128.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

605×	`unswap-sqr_binary64`
311×	`cancel-sign-sub-inv_binary64`
300×	`fma-neg_binary64`
285×	`log-prod_binary64`
218×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	535	4437
1	1354	4127
2	4083	4052

Stop Event

1×	node limit

Counts

281 → 326

Calls

Call 1

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

Outputs
x
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(*.f64 eps x)
(*.f64 x eps)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(*.f64 eps x)
(*.f64 x eps)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 x eps x)
x
(+.f64 (.f64 -1 (.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(+.f64 (.f64 -1 (.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(+.f64 (.f64 -1 (.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(.f64 -1 (.f64 eps x))
(*.f64 x (neg.f64 eps))
(*.f64 eps (neg.f64 x))
(+.f64 (.f64 -1 (.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(+.f64 (.f64 -1 (.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(+.f64 (.f64 -1 (.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(.f64 -1 (.f64 eps x))
(*.f64 x (neg.f64 eps))
(*.f64 eps (neg.f64 x))
(+.f64 (.f64 -1 (.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(+.f64 (.f64 -1 (.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(+.f64 (.f64 -1 (.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(-.f64 (exp.f64 (.f64 -1 x)) (.f64 -1 (exp.f64 (*.f64 -1 x))))
(-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 x))))
(*.f64 2 (exp.f64 (neg.f64 x)))
(-.f64 (+.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))) (.f64 -1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))))) (.f64 -1 (exp.f64 (.f64 -1 x))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (.f64 (.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)) 1) (*.f64 eps eps)) (neg.f64 (exp.f64 (neg.f64 x)))))
(+.f64 (.f64 eps (.f64 eps (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)))) (*.f64 2 (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (.f64 (pow.f64 eps 4) (-.f64 (.f64 1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4))) (.f64 -1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4))))) (+.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))) (.f64 -1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))))))) (.f64 -1 (exp.f64 (*.f64 -1 x))))
(-.f64 (fma.f64 (pow.f64 eps 4) (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) 1/12) (+.f64 (exp.f64 (neg.f64 x)) (.f64 (.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)) 1) (*.f64 eps eps)))) (neg.f64 (exp.f64 (neg.f64 x))))
(fma.f64 (pow.f64 eps 4) (.f64 (pow.f64 x 4) (.f64 (exp.f64 (neg.f64 x)) 1/12)) (+.f64 (.f64 eps (.f64 eps (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)))) (*.f64 2 (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (.f64 (pow.f64 eps 4) (-.f64 (.f64 1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4))) (.f64 -1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4))))) (+.f64 (.f64 (pow.f64 eps 6) (-.f64 (.f64 1/720 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 6))) (.f64 -1/720 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 6))))) (+.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))) (.f64 -1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))))))) (.f64 -1 (exp.f64 (.f64 -1 x))))
(-.f64 (fma.f64 (pow.f64 eps 4) (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) 1/12) (fma.f64 (pow.f64 eps 6) (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) 1/360) (+.f64 (exp.f64 (neg.f64 x)) (.f64 (.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)) 1) (*.f64 eps eps))))) (neg.f64 (exp.f64 (neg.f64 x))))
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(+.f64 (exp.f64 (fma.f64 x eps x)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(fma.f64 (exp.f64 (fma.f64 eps x x)) -1 (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (exp.f64 (exp.f64 (fma.f64 x eps x)))))
(-.f64 (log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (exp.f64 (fma.f64 x eps x)))
(-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x)))
(fma.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (fma.f64 eps x x))) 1 (+.f64 (exp.f64 (fma.f64 eps x x)) (exp.f64 (fma.f64 eps x x))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (exp.f64 (fma.f64 x eps x)) (*.f64 2 (exp.f64 (fma.f64 x eps x)))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 3 (exp.f64 (fma.f64 x eps x))))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 3 (exp.f64 (fma.f64 x eps x))))
(fma.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (fma.f64 eps x x))) 1 (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (exp.f64 (fma.f64 eps x x))))
(+.f64 (exp.f64 (fma.f64 x eps x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(+.f64 (exp.f64 (fma.f64 x eps x)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (fma.f64 eps x x))) 2) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) (+.f64 (exp.f64 (fma.f64 eps x x)) (exp.f64 (fma.f64 eps x x))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (exp.f64 (fma.f64 x eps x)) (*.f64 2 (exp.f64 (fma.f64 x eps x)))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 3 (exp.f64 (fma.f64 x eps x))))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 3 (exp.f64 (fma.f64 x eps x))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (fma.f64 eps x x))) 2) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (exp.f64 (fma.f64 eps x x))))
(+.f64 (exp.f64 (fma.f64 x eps x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(+.f64 (exp.f64 (fma.f64 x eps x)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(fma.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 2) (+.f64 (exp.f64 (fma.f64 eps x x)) (exp.f64 (fma.f64 eps x x))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (exp.f64 (fma.f64 x eps x)) (*.f64 2 (exp.f64 (fma.f64 x eps x)))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 3 (exp.f64 (fma.f64 x eps x))))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 3 (exp.f64 (fma.f64 x eps x))))
(fma.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 2) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (exp.f64 (fma.f64 eps x x))))
(+.f64 (exp.f64 (fma.f64 x eps x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(+.f64 (exp.f64 (fma.f64 x eps x)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 2) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) (+.f64 (exp.f64 (fma.f64 eps x x)) (exp.f64 (fma.f64 eps x x))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (exp.f64 (fma.f64 x eps x)) (*.f64 2 (exp.f64 (fma.f64 x eps x)))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 3 (exp.f64 (fma.f64 x eps x))))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 3 (exp.f64 (fma.f64 x eps x))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 2) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (exp.f64 (fma.f64 eps x x))))
(+.f64 (exp.f64 (fma.f64 x eps x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(+.f64 (exp.f64 (fma.f64 x eps x)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(fma.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 x) (-.f64 1 eps)))
(+.f64 (exp.f64 (fma.f64 x eps x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(+.f64 (exp.f64 (fma.f64 x eps x)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (exp.f64 (exp.f64 (fma.f64 x eps x)))))
(-.f64 (log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (exp.f64 (fma.f64 x eps x)))
(-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x)))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2) (exp.f64 (fma.f64 eps x x)))
(+.f64 (exp.f64 (fma.f64 x eps x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(+.f64 (exp.f64 (fma.f64 x eps x)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (exp.f64 (fma.f64 eps x x)))
(+.f64 (exp.f64 (fma.f64 x eps x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(+.f64 (exp.f64 (fma.f64 x eps x)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(fma.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 x) (-.f64 1 eps)))
(+.f64 (exp.f64 (fma.f64 x eps x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(+.f64 (exp.f64 (fma.f64 x eps x)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(fma.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) (+.f64 (exp.f64 (fma.f64 eps x x)) (exp.f64 (fma.f64 eps x x))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (exp.f64 (fma.f64 x eps x)) (*.f64 2 (exp.f64 (fma.f64 x eps x)))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 3 (exp.f64 (fma.f64 x eps x))))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 3 (exp.f64 (fma.f64 x eps x))))
(fma.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (exp.f64 (fma.f64 eps x x))))
(+.f64 (exp.f64 (fma.f64 x eps x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(+.f64 (exp.f64 (fma.f64 x eps x)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (exp.f64 (fma.f64 eps x x)))
(+.f64 (exp.f64 (fma.f64 x eps x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(+.f64 (exp.f64 (fma.f64 x eps x)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(fma.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(+.f64 (exp.f64 (fma.f64 x eps x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(+.f64 (exp.f64 (fma.f64 x eps x)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(fma.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (neg.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (exp.f64 (exp.f64 (fma.f64 x eps x)))))
(-.f64 (log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (exp.f64 (fma.f64 x eps x)))
(-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x)))
(fma.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (*.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) -1) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (exp.f64 (exp.f64 (fma.f64 x eps x)))))
(-.f64 (log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (exp.f64 (fma.f64 x eps x)))
(-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x)))
(fma.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (fma.f64 eps x x))) 2) (exp.f64 (fma.f64 x (-.f64 1 eps) (fma.f64 eps x x))))) (+.f64 (exp.f64 (fma.f64 eps x x)) (exp.f64 (fma.f64 eps x x))))
(fma.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (exp.f64 (fma.f64 x eps x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 x eps x)) (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2) (exp.f64 (fma.f64 x (-.f64 1 eps) (fma.f64 x eps x))))) (*.f64 2 (exp.f64 (fma.f64 x eps x))))
(+.f64 (*.f64 2 (exp.f64 (fma.f64 x eps x))) (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (exp.f64 (fma.f64 x eps x)) 3)) (+.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 x eps x)) (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2) (exp.f64 (fma.f64 x (-.f64 1 eps) (fma.f64 x eps x))))))
(+.f64 (*.f64 2 (exp.f64 (fma.f64 x eps x))) (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3) (pow.f64 (exp.f64 (fma.f64 x eps x)) 3)) (+.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 x eps x)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2) (exp.f64 (fma.f64 x (-.f64 1 eps) (fma.f64 x eps x))))))
(fma.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (fma.f64 eps x x))) 2) (exp.f64 (fma.f64 x (-.f64 1 eps) (fma.f64 eps x x))))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (exp.f64 (fma.f64 eps x x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (exp.f64 (fma.f64 x eps x)) 3)) 1) (+.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 x eps x)) (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2) (exp.f64 (fma.f64 x (-.f64 1 eps) (fma.f64 x eps x)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (exp.f64 (fma.f64 x eps x)) 3)) (+.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 x eps x)) (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2) (exp.f64 (fma.f64 x (-.f64 1 eps) (fma.f64 x eps x)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3) (pow.f64 (exp.f64 (fma.f64 x eps x)) 3)) (+.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 x eps x)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2) (exp.f64 (fma.f64 x (-.f64 1 eps) (fma.f64 x eps x)))))
(fma.f64 (neg.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (exp.f64 (exp.f64 (fma.f64 x eps x)))))
(-.f64 (log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (exp.f64 (fma.f64 x eps x)))
(-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x)))
(fma.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (+.f64 (exp.f64 (fma.f64 eps x x)) (exp.f64 (fma.f64 eps x x))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (exp.f64 (fma.f64 x eps x)))) (*.f64 2 (exp.f64 (fma.f64 x eps x))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x))) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (exp.f64 (fma.f64 x eps x)))) (*.f64 2 (exp.f64 (fma.f64 x eps x))))
(fma.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (exp.f64 (fma.f64 eps x x))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (exp.f64 (fma.f64 x eps x)))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x)))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2) (exp.f64 (fma.f64 x eps x))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (exp.f64 (fma.f64 x eps x)))) (*.f64 0 (exp.f64 (fma.f64 x eps x))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x))) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (exp.f64 (fma.f64 x eps x)))) 0)
(fma.f64 (neg.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 x) (-.f64 1 eps)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (exp.f64 (exp.f64 (fma.f64 x eps x)))))
(-.f64 (log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (exp.f64 (fma.f64 x eps x)))
(-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x)))
(fma.f64 (*.f64 -1 (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 x) (-.f64 1 eps)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (exp.f64 (exp.f64 (fma.f64 x eps x)))))
(-.f64 (log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (exp.f64 (fma.f64 x eps x)))
(-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x)))
(fma.f64 (*.f64 -1 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (exp.f64 (exp.f64 (fma.f64 x eps x)))))
(-.f64 (log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (exp.f64 (fma.f64 x eps x)))
(-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x)))

localize60.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1 (/.f64 -1 eps))
✓	0.3b	(pow.f64 (sqrt.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))) 2)
✓	1.4b	(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
✓	13.8b	(fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))

Compiler

Compiled 146 to 90 computations (38.4% saved)

series53.0ms (0.6%)

Counts

3 → 56

Calls

18 calls:

Time	Variable		Point	Expression
31.0ms	eps	@	0	(fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
4.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))) 2)
3.0ms	eps	@	0	(pow.f64 (sqrt.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))) 2)
3.0ms	x	@	0	(pow.f64 (sqrt.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))) 2)
2.0ms	eps	@	-inf	(pow.f64 (sqrt.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))) 2)

rewrite74.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

671×	`log-prod_binary64`
552×	`prod-diff_binary64`
316×	`fma-def_binary64`
270×	`expm1-udef_binary64`
269×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	77
1	371	77
2	4351	77

Stop Event

1×	node limit

Counts

3 → 103

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify109.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

576×	`times-frac_binary64`
424×	`unswap-sqr_binary64`
341×	`fma-def_binary64`
239×	`associate-+r+_binary64`
204×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	373	6470
1	1119	6200
2	4188	5545

Stop Event

1×	node limit

Counts

159 → 177

Calls

Call 1

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

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

eval386.0ms (4.6%)

Compiler: Compiled 23010 to 14257 computations (38% saved)

prune153.0ms (1.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	673	7	680
Fresh	0	0	0
Picked	1	0	1
Done	2	2	4
Total	676	9	685

Error

Counts

685 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	18.7b	(/.f64 (pow.f64 (sqrt.f64 2) 2) 2)
▶	0.4b	(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
▶	37.6b	(/.f64 (-.f64 (/.f64 x (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
▶	18.2b	(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
▶	17.9b	(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
	0.6b	(/.f64 (-.f64 (exp.f64 (.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 (neg.f64 eps))))))) 2)
	0.6b	(/.f64 (-.f64 (exp.f64 (.f64 -1 (cbrt.f64 (pow.f64 (.f64 x (-.f64 1 eps)) 3)))) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
✓	18.0b	(/.f64 2 2)
✓	44.8b	(/.f64 0 2)

Compiler

Compiled 260 to 216 computations (16.9% saved)

localize24.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 68 to 37 computations (45.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite40.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

672×	`pow1_binary64`
627×	`log1p-expm1-u_binary64`
627×	`expm1-log1p-u_binary64`
626×	`add-log-exp_binary64`
613×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	125	8
2	1697	8

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify51.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

609×	`fma-def_binary64`
409×	`associate-/r/_binary64`
340×	`fma-neg_binary64`
335×	`associate-l_binary64`
299×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	101	584
1	246	531
2	762	405
3	3640	395
4	7001	395

Stop Event

1×	node limit

Counts

43 → 53

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

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

localize17.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 44 to 27 computations (38.6% saved)

localize26.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 78 to 43 computations (44.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite34.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

432×	`pow1_binary64`
420×	`add-sqr-sqrt_binary64`
411×	`*-un-lft-identity_binary64`
401×	`add-log-exp_binary64`
401×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	7
2	1148	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify39.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1079×	`log-prod_binary64`
420×	`associate-l_binary64`
379×	`associate-r_binary64`
325×	`associate-+l+_binary64`
306×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	216
1	102	206
2	359	191
3	3009	191
4	6280	191

Stop Event

1×	node limit

Counts

26 → 18

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.0b	(pow.f64 (sqrt.f64 2) 2)

Compiler

Compiled 15 to 15 computations (0% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite62.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

729×	`prod-diff_binary64`
355×	`expm1-udef_binary64`
355×	`log1p-udef_binary64`
229×	`pow1_binary64`
226×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	1
1	85	1
2	632	1
3	5855	1

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 2) 2)

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
2

Outputs
2

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 62 to 29 computations (53.2% saved)

series3.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite56.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1021×	`pow1_binary64`
953×	`log1p-expm1-u_binary64`
953×	`expm1-log1p-u_binary64`
122×	`add-sqr-sqrt_binary64`
119×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	238	18
2	3751	18

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

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

Outputs

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

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

simplify46.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

563×	`associate-/l*_binary64`
464×	`distribute-rgt-in_binary64`
431×	`distribute-lft-in_binary64`
375×	`unswap-sqr_binary64`
223×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	210	1552
1	534	1130
2	2165	1040

Stop Event

1×	node limit

Counts

93 → 136

Calls

Call 1

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

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

eval132.0ms (1.6%)

Compiler: Compiled 8507 to 4840 computations (43.1% saved)

prune84.0ms (1%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	436	8	444
Fresh	0	2	2
Picked	1	0	1
Done	2	4	6
Total	439	14	453

Error

Counts

453 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	18.7b	(/.f64 (pow.f64 (sqrt.f64 2) 2) 2)
▶	0.4b	(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
▶	37.6b	(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 x (exp.f64 x)))) 2)
▶	18.2b	(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))))) 2)
✓	0.4b	(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
▶	18.2b	(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))))) 2)
	18.3b	(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 1)) 2)
	0.6b	(/.f64 (-.f64 (exp.f64 (.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 (neg.f64 eps))))))) 2)
	0.6b	(/.f64 (-.f64 (exp.f64 (.f64 -1 (cbrt.f64 (pow.f64 (.f64 x (-.f64 1 eps)) 3)))) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
	37.6b	(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 2 (/.f64 x (exp.f64 x)))) 2)
▶	55.0b	(/.f64 (+.f64 x 1) 2)
	44.5b	(/.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2)
✓	18.0b	(/.f64 2 2)
✓	44.8b	(/.f64 0 2)

Compiler

Compiled 367 to 293 computations (20.2% saved)

localize19.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 53 to 32 computations (39.6% saved)

localize5.0ms (0.1%)

Compiler: Compiled 13 to 10 computations (23.1% saved)

localize19.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 63 to 39 computations (38.1% saved)

localize26.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 72 to 43 computations (40.3% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 51 to 22 computations (56.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

0.0ms

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

rewrite57.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

467×	`log-prod_binary64`
354×	`exp-prod_binary64`
312×	`pow-prod-down_binary64`
240×	`fma-def_binary64`
237×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	203	14
2	3180	14

Stop Event

1×	node limit

Counts

1 → 121

Calls

Call 1

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

Outputs

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simplify66.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

535×	`associate-/r*_binary64`
409×	`unswap-sqr_binary64`
237×	`associate-*l/_binary64`
208×	`*-commutative_binary64`
201×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	286	2993
1	706	2840
2	2065	2394

Stop Event

1×	node limit

Counts

133 → 179

Calls

Call 1

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

Outputs
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 x 2)) x))
(+.f64 1 (fma.f64 -3/2 (*.f64 x x) x))
(+.f64 (.f64 5/6 (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 x 2)) x)))
(fma.f64 5/6 (pow.f64 x 3) (+.f64 1 (fma.f64 -3/2 (*.f64 x x) x)))
(+.f64 (fma.f64 -3/2 (*.f64 x x) x) (fma.f64 5/6 (pow.f64 x 3) 1))
(*.f64 2 (/.f64 x (exp.f64 x)))
(/.f64 2 (/.f64 (exp.f64 x) x))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(*.f64 2 (/.f64 x (exp.f64 x)))
(/.f64 2 (/.f64 (exp.f64 x) x))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(+.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (-.f64 (log1p.f64 x) x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (exp.f64 (log1p.f64 x))))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (-.f64 (log1p.f64 x) x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (exp.f64 (log1p.f64 x))))
(+.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (exp.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) 2) (/.f64 x (exp.f64 x))))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(+.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) (+.f64 (/.f64 x (exp.f64 x)) (/.f64 x (exp.f64 x))))
(+.f64 (/.f64 (-.f64 (+.f64 1 x) (neg.f64 x)) (exp.f64 x)) (*.f64 2 (/.f64 x (exp.f64 x))))
(fma.f64 2 (/.f64 x (exp.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))
(-.f64 (/.f64 (+.f64 1 x) (exp.f64 x)) (*.f64 (/.f64 x (exp.f64 x)) -3))
(+.f64 0 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(+.f64 (+.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 0) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (-.f64 (log1p.f64 x) x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (exp.f64 (log1p.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 1 x) (neg.f64 x)) (exp.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 1 x) (neg.f64 x)) (exp.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 1 x) (neg.f64 x)) (exp.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))))))
(*.f64 1 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(*.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) 1)
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(*.f64 (pow.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) 2) (/.f64 1 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))) 2))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))) 2) (cbrt.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))) (sqrt.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
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(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(fma.f64 -1 (/.f64 x (exp.f64 x)) (exp.f64 (-.f64 (log1p.f64 x) x)))
(/.f64 (+.f64 (exp.f64 x) (*.f64 (neg.f64 x) (exp.f64 (-.f64 x (log1p.f64 x))))) (exp.f64 (+.f64 (-.f64 x (log1p.f64 x)) x)))
(/.f64 (fma.f64 (neg.f64 x) (exp.f64 (-.f64 x (log1p.f64 x))) (exp.f64 x)) (exp.f64 (-.f64 x (-.f64 (log1p.f64 x) x))))
(-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (/.f64 x (exp.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (exp.f64 x)))) (sqrt.f64 (/.f64 x (exp.f64 x))) (exp.f64 (-.f64 (log1p.f64 x) x)))
(/.f64 (+.f64 (exp.f64 x) (*.f64 (neg.f64 x) (exp.f64 (-.f64 x (log1p.f64 x))))) (exp.f64 (+.f64 (-.f64 x (log1p.f64 x)) x)))
(/.f64 (fma.f64 (neg.f64 x) (exp.f64 (-.f64 x (log1p.f64 x))) (exp.f64 x)) (exp.f64 (-.f64 x (-.f64 (log1p.f64 x) x))))
(-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (/.f64 x (exp.f64 x)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 x)) (/.f64 x (exp.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) (exp.f64 x)) (/.f64 x (exp.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) (/.f64 (+.f64 x 1) (cbrt.f64 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) (/.f64 (+.f64 1 x) (cbrt.f64 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) (/.f64 x (cbrt.f64 (exp.f64 x))) (exp.f64 (-.f64 (log1p.f64 x) x)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) 2))) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (/.f64 x (exp.f64 x)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) 2))) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (/.f64 x (exp.f64 x)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (pow.f64 (exp.f64 x) 2))) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (pow.f64 (exp.f64 x) 2))) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (/.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 x) 2))))
(fma.f64 (pow.f64 (exp.f64 x) -1/2) (/.f64 (+.f64 x 1) (sqrt.f64 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(fma.f64 (pow.f64 (exp.f64 x) -1/2) (/.f64 (+.f64 1 x) (sqrt.f64 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(fma.f64 (pow.f64 (exp.f64 x) -1/2) (/.f64 x (sqrt.f64 (exp.f64 x))) (exp.f64 (-.f64 (log1p.f64 x) x)))
(fma.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 x (exp.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (exp.f64 x)) (exp.f64 (-.f64 (log1p.f64 x) x)))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (exp.f64 (neg.f64 x)) (cbrt.f64 x)) (exp.f64 (-.f64 (log1p.f64 x) x)))
(fma.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) (exp.f64 x)) (exp.f64 (-.f64 (log1p.f64 x) x)))
(fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (exp.f64 x)) (exp.f64 (-.f64 (log1p.f64 x) x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (-.f64 (log1p.f64 x) x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (exp.f64 (log1p.f64 x))))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (pow.f64 (exp.f64 x) 2))) (cbrt.f64 (/.f64 x (exp.f64 x))) (exp.f64 (-.f64 (log1p.f64 x) x)))
(fma.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (exp.f64 x) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (exp.f64 x))) (exp.f64 (-.f64 (log1p.f64 x) x)))
(+.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (/.f64 (/.f64 x (cbrt.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 x) 2))))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (exp.f64 x))) (exp.f64 (-.f64 (log1p.f64 x) x)))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (exp.f64 (neg.f64 x)) (cbrt.f64 x)) (exp.f64 (-.f64 (log1p.f64 x) x)))
(fma.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) (exp.f64 x)) (exp.f64 (-.f64 (log1p.f64 x) x)))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (/.f64 x (exp.f64 x)))) (-.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (/.f64 x (exp.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (exp.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) 2) (/.f64 x (exp.f64 x))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (/.f64 x (exp.f64 x)))) (-.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (/.f64 x (exp.f64 x)))) (+.f64 (/.f64 x (exp.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (/.f64 x (exp.f64 x)))) (-.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (/.f64 x (exp.f64 x)))) 0)
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (/.f64 x (exp.f64 x)))) (-.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (/.f64 x (exp.f64 x)))) (+.f64 (/.f64 x (exp.f64 x)) (/.f64 x (exp.f64 x))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (/.f64 x (exp.f64 x)))) (-.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (/.f64 x (exp.f64 x)))) (*.f64 2 (/.f64 x (exp.f64 x))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (/.f64 x (exp.f64 x)))) (-.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (/.f64 x (exp.f64 x)))) (/.f64 2 (/.f64 (exp.f64 x) x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) 2)) (cbrt.f64 (/.f64 x (exp.f64 x))) (exp.f64 (-.f64 (log1p.f64 x) x)))
(/.f64 (+.f64 (exp.f64 x) (*.f64 (neg.f64 x) (exp.f64 (-.f64 x (log1p.f64 x))))) (exp.f64 (+.f64 (-.f64 x (log1p.f64 x)) x)))
(/.f64 (fma.f64 (neg.f64 x) (exp.f64 (-.f64 x (log1p.f64 x))) (exp.f64 x)) (exp.f64 (-.f64 x (-.f64 (log1p.f64 x) x))))
(-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (/.f64 x (exp.f64 x)))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) 2)) (cbrt.f64 (/.f64 x (exp.f64 x))) (exp.f64 (-.f64 (log1p.f64 x) x)))
(/.f64 (+.f64 (exp.f64 x) (*.f64 (neg.f64 x) (exp.f64 (-.f64 x (log1p.f64 x))))) (exp.f64 (+.f64 (-.f64 x (log1p.f64 x)) x)))
(/.f64 (fma.f64 (neg.f64 x) (exp.f64 (-.f64 x (log1p.f64 x))) (exp.f64 x)) (exp.f64 (-.f64 x (-.f64 (log1p.f64 x) x))))
(-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (/.f64 x (exp.f64 x)))
(fma.f64 (*.f64 -1 (sqrt.f64 (/.f64 x (exp.f64 x)))) (sqrt.f64 (/.f64 x (exp.f64 x))) (exp.f64 (-.f64 (log1p.f64 x) x)))
(/.f64 (+.f64 (exp.f64 x) (*.f64 (neg.f64 x) (exp.f64 (-.f64 x (log1p.f64 x))))) (exp.f64 (+.f64 (-.f64 x (log1p.f64 x)) x)))
(/.f64 (fma.f64 (neg.f64 x) (exp.f64 (-.f64 x (log1p.f64 x))) (exp.f64 x)) (exp.f64 (-.f64 x (-.f64 (log1p.f64 x) x))))
(-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (/.f64 x (exp.f64 x)))

eval148.0ms (1.8%)

Compiler: Compiled 10280 to 5498 computations (46.5% saved)

prune93.0ms (1.1%)

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	498	2	500
Fresh	2	3	5
Picked	1	0	1
Done	0	8	8
Total	501	13	514

Error

Counts

514 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	18.7b	(/.f64 (pow.f64 (sqrt.f64 2) 2) 2)
	37.8b	(/.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) 2)
	44.5b	(/.f64 (/.f64 2 (/.f64 (exp.f64 x) x)) 2)
✓	0.4b	(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
✓	18.2b	(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))))) 2)
✓	0.4b	(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
✓	18.2b	(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))))) 2)
	18.3b	(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 1)) 2)
	0.6b	(/.f64 (-.f64 (exp.f64 (.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 (neg.f64 eps))))))) 2)
	0.6b	(/.f64 (-.f64 (exp.f64 (.f64 -1 (cbrt.f64 (pow.f64 (.f64 x (-.f64 1 eps)) 3)))) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
✓	55.0b	(/.f64 (+.f64 x 1) 2)
✓	18.0b	(/.f64 2 2)
✓	44.8b	(/.f64 0 2)

Compiler

Compiled 185 to 151 computations (18.4% saved)

regimes39.0ms (0.5%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

4 calls:

12.0ms	eps
11.0ms	x
3.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))
3.0ms	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))) 2)

Results

Error	Segments	Branch
0.4b	1	`x`
0.4b	1	`eps`
0.4b	1	`(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))) 2)`
0.4b	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 454 to 319 computations (29.7% saved)

regimes21.0ms (0.2%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	eps
8.0ms	x

Results

Error	Segments	Branch
0.4b	1	`x`
0.4b	1	`eps`

Compiler

Compiled 186 to 122 computations (34.4% saved)

regimes55.0ms (0.7%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

2 calls:

35.0ms	eps
15.0ms	x

Results

Error	Segments	Branch
0.7b	2	`x`
14.7b	5	`eps`

Compiler

Compiled 170 to 112 computations (34.1% saved)

bsearch74.0ms (0.9%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
73.0ms	1.3061552494690157e-12	7486151673417.312

Results

37.0ms	75×	body	1024	valid
12.0ms	35×	body	512	valid
10.0ms	60×	body	256	valid
8.0ms	49×	body	256	infinite
4.0ms	6×	body	2048	valid

Compiler

Compiled 322 to 271 computations (15.8% saved)

regimes40.0ms (0.5%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

27.0ms	eps
11.0ms	x

Results

Error	Segments	Branch
0.7b	2	`x`
14.7b	5	`eps`

Compiler

Compiled 88 to 65 computations (26.1% saved)

bsearch84.0ms (1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
84.0ms	1.3061552494690157e-12	7486151673417.312

Results

47.0ms	96×	body	1024	valid
11.0ms	69×	body	256	infinite
11.0ms	32×	body	512	valid
8.0ms	41×	body	256	valid
5.0ms	7×	body	2048	valid

Compiler

Compiled 333 to 271 computations (18.6% saved)

regimes25.0ms (0.3%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

17.0ms	eps
7.0ms	x

Results

Error	Segments	Branch
0.7b	2	`x`
14.8b	5	`eps`

Compiler

Compiled 31 to 26 computations (16.1% saved)

bsearch117.0ms (1.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
117.0ms	1.3061552494690157e-12	7486151673417.312

Results

74.0ms	78×	body	1024	valid
14.0ms	43×	body	512	valid
13.0ms	81×	body	256	infinite
8.0ms	47×	body	256	valid
6.0ms	8×	body	2048	valid

Compiler

Compiled 267 to 238 computations (10.9% saved)

regimes47.0ms (0.6%)

Accuracy

Total -61.4b remaining (-7950%)

Threshold costs -61.4b (-7950%)

Counts

3 → 2

Calls

Call 1

Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (+.f64 x 1) 2)

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

Calls

2 calls:

31.0ms	x
16.0ms	eps

Results

Error	Segments	Branch
0.8b	2	`x`
14.8b	5	`eps`

Compiler

Compiled 19 to 16 computations (15.8% saved)

bsearch70.0ms (0.8%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
70.0ms	1.3061552494690157e-12	7486151673417.312

Results

35.0ms	72×	body	1024	valid
11.0ms	68×	body	256	valid
10.0ms	33×	body	512	valid
8.0ms	55×	body	256	infinite
2.0ms	3×	body	2048	valid

Compiler

Compiled 168 to 161 computations (4.2% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

65×	`cancel-sign-sub-inv_binary64`
60×	`distribute-rgt-neg-in_binary64`
39×	`distribute-lft-neg-in_binary64`
36×	`sub-neg_binary64`
34×	`neg-sub0_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	151
1	73	143
2	131	143
3	212	143
4	301	143
5	363	143
6	423	143
7	475	143
8	491	143

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
(if (<=.f64 x 7656119366529843/4503599627370496) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))))) 2) (/.f64 0 2))
(if (<=.f64 x 799388933858263/562949953421312) (/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))))) 2) (/.f64 0 2))
(if (<=.f64 x 2) (/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 1)) 2) (/.f64 0 2))
(if (<=.f64 x 360) (/.f64 2 2) (/.f64 0 2))
(/.f64 0 2)

Outputs
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (*.f64 (neg.f64 (+.f64 x 1)) (exp.f64 (neg.f64 x)))) 2)
(/.f64 (+.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (/.f64 (neg.f64 (+.f64 x 1)) (exp.f64 x))) 2)
(/.f64 (+.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
(if (<=.f64 x 7656119366529843/4503599627370496) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))))) 2) (/.f64 0 2))
(if (<=.f64 x 7656119366529843/4503599627370496) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (+.f64 -1 (neg.f64 (.f64 -1/2 (.f64 x x))))) 2) 0)
(if (<=.f64 x 7656119366529843/4503599627370496) (/.f64 (+.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (+.f64 1 (.f64 -1/2 (.f64 x x)))) 2) 0)
(if (<=.f64 x 799388933858263/562949953421312) (/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))))) 2) (/.f64 0 2))
(if (<=.f64 x 799388933858263/562949953421312) (/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (+.f64 -1 (neg.f64 (.f64 -1/2 (.f64 x x))))) 2) 0)
(if (<=.f64 x 799388933858263/562949953421312) (/.f64 (+.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (+.f64 1 (.f64 -1/2 (.f64 x x)))) 2) 0)
(if (<=.f64 x 2) (/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 1)) 2) (/.f64 0 2))
(if (<=.f64 x 2) (/.f64 (+.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) 1) 2) 0)
(if (<=.f64 x 2) (/.f64 (+.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x)))) 2) 0)
(if (<=.f64 x 360) (/.f64 2 2) (/.f64 0 2))
(if (<=.f64 x 360) 1 0)
(/.f64 0 2)
0

Compiler

Compiled 111 to 87 computations (21.6% saved)

soundness177.0ms (2.1%)

Algorithm

2×	egg-herbie

Rules

750×	`times-frac_binary64`
566×	`fma-neg_binary64`
534×	`cancel-sign-sub-inv_binary64`
519×	`fma-neg_binary64`
479×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	45
1	57	45
2	159	37
3	541	37
4	1697	37
0	660	13239
1	1685	12416
2	5647	12269

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 368 to 288 computations (21.7% saved)

end58.0ms (0.7%)

Compiler: Compiled 99 to 71 computations (28.3% saved)

Iter	Nodes	Cost
0	44	151
1	73	143
2	131	143
3	212	143
4	301	143
5	363	143
6	423	143
7	475	143
8	491	143

Iter	Nodes	Cost
0	44	151
1	73	143
2	131	143
3	212	143
4	301	143
5	363	143
6	423	143
7	475	143
8	491	143

Details

analyze193.0ms (2.3%)

sample3.3s (39.3%)

preprocess48.0ms (0.6%)

simplify32.0ms (0.4%)

eval3.0ms (0%)

prune2.0ms (0%)

localize51.0ms (0.6%)

series18.0ms (0.2%)

rewrite106.0ms (1.3%)

simplify277.0ms (3.3%)

localize58.0ms (0.7%)

series60.0ms (0.7%)

rewrite90.0ms (1.1%)

simplify147.0ms (1.8%)

eval534.0ms (6.4%)

prune237.0ms (2.9%)

localize21.0ms (0.2%)

series1.0ms (0%)

rewrite58.0ms (0.7%)

simplify57.0ms (0.7%)

localize3.0ms (0%)

localize3.0ms (0%)

localize67.0ms (0.8%)

series8.0ms (0.1%)

rewrite83.0ms (1%)

simplify128.0ms (1.5%)

localize60.0ms (0.7%)

series53.0ms (0.6%)

rewrite74.0ms (0.9%)

simplify109.0ms (1.3%)

eval386.0ms (4.6%)

prune153.0ms (1.8%)

localize24.0ms (0.3%)

series1.0ms (0%)

rewrite40.0ms (0.5%)

simplify51.0ms (0.6%)

localize17.0ms (0.2%)

localize26.0ms (0.3%)

series1.0ms (0%)

rewrite34.0ms (0.4%)

simplify39.0ms (0.5%)

localize7.0ms (0.1%)

series0.0ms (0%)

rewrite62.0ms (0.8%)

simplify6.0ms (0.1%)

localize20.0ms (0.2%)

series3.0ms (0%)

rewrite56.0ms (0.7%)

simplify46.0ms (0.6%)

eval132.0ms (1.6%)

prune84.0ms (1%)

localize19.0ms (0.2%)

localize5.0ms (0.1%)

localize19.0ms (0.2%)

localize26.0ms (0.3%)

localize16.0ms (0.2%)

series1.0ms (0%)

rewrite57.0ms (0.7%)

simplify66.0ms (0.8%)

eval148.0ms (1.8%)

prune93.0ms (1.1%)

regimes39.0ms (0.5%)

regimes21.0ms (0.2%)

regimes55.0ms (0.7%)

bsearch74.0ms (0.9%)

regimes40.0ms (0.5%)

bsearch84.0ms (1%)

regimes25.0ms (0.3%)

bsearch117.0ms (1.4%)

regimes47.0ms (0.6%)

bsearch70.0ms (0.8%)

simplify14.0ms (0.2%)

soundness177.0ms (2.1%)

end58.0ms (0.7%)

Profiling

Iter	Nodes	Cost
0	44	151
1	73	143
2	131	143
3	212	143
4	301	143
5	363	143
6	423	143
7	475	143
8	491	143