Details

analyze154.0ms (2.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	87.4%	12.6%	6
20.3%	59.3%	20.4%	7
21.1%	51.5%	27.4%	8
35.5%	30.4%	34%	9
35.7%	26.1%	38.1%	10
42.8%	15.4%	41.8%	11
42.9%	13.2%	44%	12

Compiler

Compiled 32 to 26 computations (18.8% saved)

sample4.2s (64.6%)

Results

1.9s	2041×	body	1024	valid
761.0ms	4147×	body	64	valid
664.0ms	1052×	body	512	valid
269.0ms	225×	body	2048	valid
237.0ms	510×	body	256	valid
163.0ms	941×	body	64	invalid
98.0ms	281×	body	128	valid
16.0ms	20×	body	1024	invalid
5.0ms	7×	body	512	invalid
2.0ms	4×	body	256	invalid
1.0ms	2×	body	128	invalid

preprocess43.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

573×	`associate-*l/_binary64`
469×	`associate-/l/_binary64`
345×	`associate-/r/_binary64`
252×	`distribute-rgt-in_binary64`
232×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	90
1	103	90
2	299	74
3	959	74
4	3224	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 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))))
(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 x)) (exp.f64 (neg.f64 (.f64 (-.f64 1 x) eps)))) (.f64 (-.f64 (/.f64 1 x) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 x) eps))))) 2)
(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 x)) (exp.f64 (.f64 (-.f64 1 x) (neg.f64 eps)))) (.f64 (+.f64 (/.f64 1 x) -1) (exp.f64 (.f64 (+.f64 1 x) (neg.f64 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) (pow.f64 (exp.f64 (+.f64 1 x)) (neg.f64 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 (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 31 to 25 computations (19.4% saved)

simplify46.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

750×	`times-frac_binary64`
574×	`div-sub_binary64`
534×	`cancel-sign-sub-inv_binary64`
519×	`fma-neg_binary64`
472×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	45
1	57	45
2	159	37
3	510	37
4	1660	37
5	7943	37

Stop Event

1×	node limit

Counts

1 → 2

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

prune5.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

32.7b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	32.7b	(/.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)
	33.0b	(*.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)))))

Status

Error

Program

▶

32.7b

(/.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)

33.0b

(*.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)))))

Compiler

Compiled 172 to 133 computations (22.7% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 1 eps) x)
✓	0.0b	(*.f64 (-.f64 1 eps) x)
✓	0.0b	(+.f64 1 (/.f64 1 eps))
✓	2.4b	(-.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)))))

series18.0ms (0.3%)

Counts

4 → 68

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	eps	@	0	(-.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)))))
2.0ms	x	@	0	(-.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)))))
1.0ms	eps	@	-inf	(-.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)))))
1.0ms	eps	@	-inf	(*.f64 (-.f64 1 eps) x)
1.0ms	x	@	inf	(-.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)))))

rewrite106.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

345×	`fma-neg_binary64`
325×	`expm1-udef_binary64`
324×	`log1p-udef_binary64`
271×	`log-pow_binary64`
209×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	63
1	412	58
2	5965	58

Stop Event

1×	node limit

Counts

4 → 192

Calls

Call 1

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

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

simplify51.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

649×	`fma-def_binary64`
598×	`associate-l_binary64`
592×	`associate-r_binary64`
417×	`distribute-rgt-in_binary64`
403×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	1833
1	536	1609
2	1832	1306

Stop Event

1×	node limit

Counts

260 → 229

Calls

Call 1

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

Outputs
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 (.f64 -1 (.f64 (exp.f64 (neg.f64 x)) x)) (.f64 -1 (exp.f64 (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (.f64 x (exp.f64 (neg.f64 x))) (.f64 -1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))))))
(-.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(.f64 2 (.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1)))
(-.f64 (+.f64 (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 1/6 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (.f64 1/2 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (.f64 -1/6 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))) (+.f64 (exp.f64 (neg.f64 x)) (.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (.f64 -1 (.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x)))))
(-.f64 (fma.f64 (.f64 eps eps) (-.f64 (fma.f64 1/6 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (.f64 1/2 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)))) (fma.f64 -1/2 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)) (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))) (+.f64 (exp.f64 (neg.f64 x)) (.f64 x (exp.f64 (neg.f64 x))))) (.f64 -1 (+.f64 (exp.f64 (neg.f64 x)) (.f64 x (exp.f64 (neg.f64 x))))))
(-.f64 (fma.f64 (.f64 eps eps) (-.f64 (fma.f64 (/.f64 1/2 (exp.f64 x)) (.f64 x x) (.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))) (fma.f64 (/.f64 -1/2 (exp.f64 x)) (.f64 x x) (.f64 (pow.f64 x 3) (/.f64 -1/6 (exp.f64 x))))) (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(fma.f64 (.f64 eps eps) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)) (.f64 (.f64 x (/.f64 x (exp.f64 x))) 1))) (.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))))
(-.f64 (+.f64 (.f64 (pow.f64 eps 4) (-.f64 (+.f64 (.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)))) (+.f64 (.f64 -1/24 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4))) (.f64 -1/120 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)))))) (+.f64 (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 1/6 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (.f64 1/2 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (.f64 -1/6 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))) (+.f64 (exp.f64 (neg.f64 x)) (.f64 (exp.f64 (neg.f64 x)) x)))) (+.f64 (.f64 -1 (.f64 (exp.f64 (neg.f64 x)) x)) (.f64 -1 (exp.f64 (neg.f64 x)))))
(-.f64 (fma.f64 (pow.f64 eps 4) (-.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))) (fma.f64 (.f64 eps eps) (-.f64 (fma.f64 1/6 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (.f64 1/2 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)))) (fma.f64 -1/2 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)) (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))) (+.f64 (exp.f64 (neg.f64 x)) (.f64 x (exp.f64 (neg.f64 x)))))) (.f64 -1 (+.f64 (exp.f64 (neg.f64 x)) (.f64 x (exp.f64 (neg.f64 x))))))
(-.f64 (fma.f64 (pow.f64 eps 4) (-.f64 (fma.f64 (/.f64 1/24 (exp.f64 x)) (pow.f64 x 4) (.f64 (pow.f64 x 5) (/.f64 1/120 (exp.f64 x)))) (fma.f64 (/.f64 -1/120 (exp.f64 x)) (pow.f64 x 5) (.f64 (pow.f64 x 4) (/.f64 -1/24 (exp.f64 x))))) (fma.f64 (.f64 eps eps) (-.f64 (fma.f64 (/.f64 1/2 (exp.f64 x)) (.f64 x x) (.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))) (fma.f64 (/.f64 -1/2 (exp.f64 x)) (.f64 x x) (.f64 (pow.f64 x 3) (/.f64 -1/6 (exp.f64 x))))) (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(fma.f64 (pow.f64 eps 4) (fma.f64 1/120 (/.f64 (pow.f64 x 5) (exp.f64 x)) (fma.f64 1/120 (/.f64 (pow.f64 x 5) (exp.f64 x)) (.f64 (/.f64 (pow.f64 x 4) (exp.f64 x)) 1/12))) (fma.f64 (.f64 eps eps) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)) (.f64 (.f64 x (/.f64 x (exp.f64 x))) 1))) (.f64 2 (.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1)))))
(-.f64 (+.f64 (.f64 (pow.f64 eps 4) (-.f64 (+.f64 (.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)))) (+.f64 (.f64 -1/24 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4))) (.f64 -1/120 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)))))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/720 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6))) (.f64 1/5040 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)))) (+.f64 (.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))))) (pow.f64 eps 6)) (+.f64 (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 1/6 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (.f64 1/2 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (.f64 -1/6 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))) (+.f64 (exp.f64 (neg.f64 x)) (.f64 (exp.f64 (neg.f64 x)) x))))) (+.f64 (.f64 -1 (.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x)))))
(-.f64 (fma.f64 (pow.f64 eps 4) (-.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))) (fma.f64 (-.f64 (fma.f64 1/720 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) (.f64 1/5040 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)))) (fma.f64 -1/5040 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) -1/720))) (pow.f64 eps 6) (fma.f64 (.f64 eps eps) (-.f64 (fma.f64 1/6 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (.f64 1/2 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)))) (fma.f64 -1/2 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)) (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))) (+.f64 (exp.f64 (neg.f64 x)) (.f64 x (exp.f64 (neg.f64 x))))))) (.f64 -1 (+.f64 (exp.f64 (neg.f64 x)) (.f64 x (exp.f64 (neg.f64 x))))))
(-.f64 (fma.f64 (pow.f64 eps 4) (-.f64 (fma.f64 (/.f64 1/24 (exp.f64 x)) (pow.f64 x 4) (.f64 (pow.f64 x 5) (/.f64 1/120 (exp.f64 x)))) (fma.f64 (/.f64 -1/120 (exp.f64 x)) (pow.f64 x 5) (.f64 (pow.f64 x 4) (/.f64 -1/24 (exp.f64 x))))) (fma.f64 (-.f64 (fma.f64 (/.f64 1/720 (exp.f64 x)) (pow.f64 x 6) (.f64 (pow.f64 x 7) (/.f64 1/5040 (exp.f64 x)))) (fma.f64 (/.f64 -1/5040 (exp.f64 x)) (pow.f64 x 7) (.f64 (pow.f64 x 6) (/.f64 -1/720 (exp.f64 x))))) (pow.f64 eps 6) (fma.f64 (.f64 eps eps) (-.f64 (fma.f64 (/.f64 1/2 (exp.f64 x)) (.f64 x x) (.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))) (fma.f64 (/.f64 -1/2 (exp.f64 x)) (.f64 x x) (.f64 (pow.f64 x 3) (/.f64 -1/6 (exp.f64 x))))) (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(fma.f64 (pow.f64 eps 4) (fma.f64 1/120 (/.f64 (pow.f64 x 5) (exp.f64 x)) (fma.f64 1/120 (/.f64 (pow.f64 x 5) (exp.f64 x)) (.f64 (/.f64 (pow.f64 x 4) (exp.f64 x)) 1/12))) (fma.f64 (fma.f64 1/720 (/.f64 (pow.f64 x 6) (exp.f64 x)) (fma.f64 1/720 (/.f64 (pow.f64 x 6) (exp.f64 x)) (.f64 (/.f64 (pow.f64 x 7) (exp.f64 x)) 1/2520))) (pow.f64 eps 6) (fma.f64 (.f64 eps eps) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)) (.f64 (.f64 x (/.f64 x (exp.f64 x))) 1))) (.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))))))
(-.f64 (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))) (.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 x) (-.f64 eps 1)))
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))) eps) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (+.f64 (.f64 -1 (exp.f64 (neg.f64 (.f64 (+.f64 eps 1) x)))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) eps)))
(-.f64 (+.f64 (/.f64 (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x))) eps) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps)))
(+.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) (-.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (/.f64 (+.f64 eps 1) eps) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x eps x))))
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))) eps) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (+.f64 (.f64 -1 (exp.f64 (neg.f64 (.f64 (+.f64 eps 1) x)))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) eps)))
(-.f64 (+.f64 (/.f64 (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x))) eps) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps)))
(+.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) (-.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (/.f64 (+.f64 eps 1) eps) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x eps x))))
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))) eps) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (+.f64 (.f64 -1 (exp.f64 (neg.f64 (.f64 (+.f64 eps 1) x)))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) eps)))
(-.f64 (+.f64 (/.f64 (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x))) eps) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps)))
(+.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) (-.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (/.f64 (+.f64 eps 1) eps) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x eps x))))
(-.f64 (exp.f64 (neg.f64 (.f64 (+.f64 1 (.f64 -1 eps)) x))) (.f64 -1 (exp.f64 (neg.f64 (.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 eps x x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 x) (-.f64 eps 1)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (exp.f64 (neg.f64 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (.f64 -1 (exp.f64 (neg.f64 (.f64 (-.f64 1 (.f64 -1 eps)) x))))) eps)) (exp.f64 (neg.f64 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (.f64 -1 (exp.f64 (neg.f64 (.f64 (-.f64 1 (.f64 -1 eps)) x)))))
(-.f64 (fma.f64 -1 (/.f64 (.f64 -1 (-.f64 (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x))) (exp.f64 (.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x))))) eps) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (neg.f64 (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))))
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(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(fma.f64 x eps x)

prune448.0ms (6.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	226	3	229
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	227	4	231

Error

Counts

231 → 4

Alt Table

Status	Error	Program
✓	32.7b	(/.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)
	61.2b	(/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))) 3) 2)
	0.4b	(/.f64 (.f64 2 (.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))) 2)
▶	0.3b	(/.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 (.f64 -1 (.f64 (exp.f64 (neg.f64 x)) x)) (.f64 -1 (exp.f64 (neg.f64 x))))) 2)

Compiler

Compiled 9609 to 7329 computations (23.7% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series3.0ms (0.1%)

Counts

2 → 18

Calls

6 calls:

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

rewrite51.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`pow1_binary64`
677×	`add-log-exp_binary64`
675×	`log1p-expm1-u_binary64`
675×	`expm1-log1p-u_binary64`
663×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	220	18
2	3456	18

Stop Event

1×	node limit

Counts

2 → 108

Calls

Call 1

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

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

Outputs

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

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

simplify47.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

611×	`times-frac_binary64`
584×	`fma-def_binary64`
433×	`fma-neg_binary64`
361×	`associate-l_binary64`
321×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	225
1	113	202
2	258	187
3	846	162
4	2903	162
5	5940	162

Stop Event

1×	node limit

Counts

126 → 78

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3))) 1)
(-.f64 (+.f64 (.f64 1/8 (pow.f64 x 4)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3)))) 1)
(.f64 -1 (.f64 (exp.f64 (neg.f64 x)) x))
(.f64 -1 (.f64 (exp.f64 (*.f64 -1 x)) x))
(+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (*.f64 -1 x))))
(+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (*.f64 -1 x))))
(+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (*.f64 -1 x))))
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 (.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)))

Outputs
-1
(-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)
(fma.f64 1/2 (*.f64 x x) -1)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3))) 1)
(+.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/3 (pow.f64 x 3))) -1)
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/3 (pow.f64 x 3) -1))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) -1))
(fma.f64 (*.f64 x x) (fma.f64 x -1/3 1/2) -1)
(fma.f64 x (*.f64 x (fma.f64 x -1/3 1/2)) -1)
(-.f64 (+.f64 (.f64 1/8 (pow.f64 x 4)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 1/8 (pow.f64 x 4) (fma.f64 1/2 (.f64 x x) (.f64 -1/3 (pow.f64 x 3)))) -1)
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/3 (pow.f64 x 3) -1)))
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) -1)))
(fma.f64 x (*.f64 x (fma.f64 x -1/3 1/2)) (fma.f64 1/8 (pow.f64 x 4) -1))
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 (*.f64 x x) (fma.f64 x -1/3 1/2) -1))
(.f64 -1 (.f64 (exp.f64 (neg.f64 x)) x))
(neg.f64 (*.f64 x (exp.f64 (neg.f64 x))))
(*.f64 x (/.f64 -1 (exp.f64 x)))
(/.f64 (neg.f64 x) (exp.f64 x))
(.f64 -1 (.f64 (exp.f64 (*.f64 -1 x)) x))
(neg.f64 (*.f64 x (exp.f64 (neg.f64 x))))
(*.f64 x (/.f64 -1 (exp.f64 x)))
(/.f64 (neg.f64 x) (exp.f64 x))
(+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (*.f64 -1 x))))
(*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))))
(neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (-.f64 -1 x))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (*.f64 -1 x))))
(*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))))
(neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (-.f64 -1 x))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (*.f64 -1 x))))
(*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))))
(neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (-.f64 -1 x))
(/.f64 (-.f64 -1 x) (exp.f64 x))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 (.f64 x x) -1/2))
(fma.f64 (*.f64 x x) -1/2 1)
(fma.f64 x (*.f64 x -1/2) 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 (pow.f64 x 3) 1/3)))
(+.f64 1 (fma.f64 (.f64 x x) -1/2 (.f64 (pow.f64 x 3) 1/3)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 3) 1/3 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 (pow.f64 x 4) -1/8))))
(+.f64 1 (fma.f64 (.f64 x x) -1/2 (fma.f64 (pow.f64 x 3) 1/3 (.f64 (pow.f64 x 4) -1/8))))
(+.f64 1 (fma.f64 (pow.f64 x 4) -1/8 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x 1/3)))))
(fma.f64 x (*.f64 x (fma.f64 x 1/3 -1/2)) (fma.f64 (pow.f64 x 4) -1/8 1))
(*.f64 (exp.f64 (neg.f64 x)) x)
(*.f64 x (exp.f64 (neg.f64 x)))
(/.f64 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 x 1) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))
(/.f64 (+.f64 x 1) (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 x 1) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))
(/.f64 (+.f64 x 1) (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 x 1) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))
(/.f64 (+.f64 x 1) (exp.f64 x))

prune79.0ms (1.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	78	4	82

Error

Counts

82 → 4

Alt Table

Status	Error	Program
✓	32.7b	(/.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)
	61.2b	(/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))) 3) 2)
▶	0.4b	(/.f64 (.f64 2 (.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))) 2)
✓	0.3b	(/.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 (.f64 -1 (.f64 (exp.f64 (neg.f64 x)) x)) (.f64 -1 (exp.f64 (neg.f64 x))))) 2)

Compiler

Compiled 2063 to 905 computations (56.1% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite40.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`pow1_binary64`
573×	`add-log-exp_binary64`
571×	`log1p-expm1-u_binary64`
571×	`expm1-log1p-u_binary64`
562×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	145	8
2	1873	8

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

((#(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 (pow.f64 x 3) 1) (*.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 (pow.f64 x 3) 1) 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 (pow.f64 x 3) 1) (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 (pow.f64 x 3) 1)) (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 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)))))))))

simplify58.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

883×	`fma-def_binary64`
603×	`fma-neg_binary64`
376×	`*-commutative_binary64`
283×	`sqr-pow_binary64`
276×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	146
1	72	132
2	150	125
3	473	106
4	1442	103
5	3372	103
6	4901	103
7	6068	103
8	7736	103

Stop Event

1×	node limit

Counts

34 → 35

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)))

Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 1/3 (pow.f64 x 3))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) 1))
(fma.f64 (*.f64 x x) (fma.f64 x 1/3 -1/2) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 1/3 (pow.f64 x 3) (.f64 -1/8 (pow.f64 x 4)))))
(+.f64 (.f64 (.f64 x x) (+.f64 (*.f64 x 1/3) -1/2)) (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))
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 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 x 1) (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 x 1) (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 x 1) (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 x 1) (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 x 1) (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 x 1) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))
(/.f64 (+.f64 1 x) (exp.f64 x))

prune79.0ms (1.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	35	4	39

Error

Counts

39 → 4

Alt Table

Status	Error	Program
✓	32.7b	(/.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)
▶	61.2b	(/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))) 3) 2)
✓	0.4b	(/.f64 (.f64 2 (.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))) 2)
✓	0.3b	(/.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 (.f64 -1 (.f64 (exp.f64 (neg.f64 x)) x)) (.f64 -1 (exp.f64 (neg.f64 x))))) 2)

Compiler

Compiled 594 to 416 computations (30% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(cbrt.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))))
✓	0.2b	(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))) 3)
✓	1.7b	(exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))
✓	17.0b	(-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))

series96.0ms (1.5%)

Counts

4 → 80

Calls

24 calls:

Time	Variable		Point	Expression
26.0ms	eps	@	inf	(-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))
11.0ms	eps	@	inf	(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))) 3)
9.0ms	eps	@	0	(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))) 3)
9.0ms	eps	@	-inf	(-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))
7.0ms	eps	@	-inf	(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))) 3)

rewrite158.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

749×	`fma-def_binary64`
360×	`fma-neg_binary64`
357×	`expm1-udef_binary64`
356×	`log1p-udef_binary64`
213×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	122
1	443	122
2	5791	122

Stop Event

1×	node limit

Counts

4 → 276

Calls

Call 1

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

Outputs
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simplify167.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

449×	`fma-def_binary64`
390×	`associate-r_binary64`
325×	`cancel-sign-sub-inv_binary64`
320×	`*-commutative_binary64`
285×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	438	9134
1	1544	8568
2	6159	8332

Stop Event

1×	node limit

Counts

356 → 250

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (exp.f64 x) eps))
(-.f64 (+.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 eps)) x)) (.f64 -1 (/.f64 (exp.f64 x) eps))) (+.f64 (.f64 -1 (exp.f64 x)) (.f64 (exp.f64 x) x)))
(-.f64 (+.f64 (.f64 eps (-.f64 (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 eps)) x)) (+.f64 1 (.f64 -1 x))) (+.f64 (.f64 1/2 (.f64 (exp.f64 x) (pow.f64 x 2))) (.f64 -1 (.f64 (exp.f64 x) x))))) (+.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 eps)) x)) (.f64 -1 (/.f64 (exp.f64 x) eps)))) (+.f64 (.f64 -1 (exp.f64 x)) (.f64 (exp.f64 x) x)))
(-.f64 (+.f64 (.f64 eps (-.f64 (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 eps)) x)) (+.f64 1 (.f64 -1 x))) (+.f64 (.f64 1/2 (.f64 (exp.f64 x) (pow.f64 x 2))) (.f64 -1 (.f64 (exp.f64 x) x))))) (+.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 eps)) 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 -1/2 (.f64 (exp.f64 x) (pow.f64 x 2))) (.f64 1/6 (.f64 (exp.f64 x) (pow.f64 x 3)))))) (.f64 -1 (/.f64 (exp.f64 x) eps))))) (+.f64 (.f64 -1 (exp.f64 x)) (*.f64 (exp.f64 x) x)))
(-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 -1 (exp.f64 (*.f64 (+.f64 eps 1) x))))
(-.f64 (+.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 -1 (/.f64 (exp.f64 (.f64 (+.f64 eps 1) x)) eps))) (.f64 -1 (exp.f64 (*.f64 (+.f64 eps 1) x))))
(-.f64 (+.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 -1 (/.f64 (exp.f64 (.f64 (+.f64 eps 1) x)) eps))) (.f64 -1 (exp.f64 (*.f64 (+.f64 eps 1) x))))
(-.f64 (+.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 -1 (/.f64 (exp.f64 (.f64 (+.f64 eps 1) x)) eps))) (.f64 -1 (exp.f64 (*.f64 (+.f64 eps 1) x))))
(-.f64 (exp.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1 eps)) x) (log1p.f64 (/.f64 1 eps)))) (.f64 -1 (exp.f64 (.f64 (-.f64 1 (*.f64 -1 eps)) x))))
(-.f64 (+.f64 (exp.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1 eps)) x) (log1p.f64 (/.f64 1 eps)))) (.f64 -1 (/.f64 (exp.f64 (.f64 (-.f64 1 (.f64 -1 eps)) x)) eps))) (.f64 -1 (exp.f64 (.f64 (-.f64 1 (.f64 -1 eps)) x))))
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2
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(pow.f64 (.f64 (pow.f64 (-.f64 (exp.f64 (-.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) x) (.f64 eps x))) (.f64 (exp.f64 (.f64 (+.f64 eps 1) x)) (-.f64 (/.f64 1 eps) 1))) 2) (-.f64 (exp.f64 (-.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) x) (.f64 eps x))) (.f64 (exp.f64 (*.f64 (+.f64 1 eps) x)) (-.f64 (/.f64 1 eps) 1)))) 1/3)
(pow.f64 (.f64 (pow.f64 (-.f64 (exp.f64 (-.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) x) (.f64 eps x))) (.f64 (exp.f64 (.f64 (+.f64 eps 1) x)) (-.f64 (/.f64 1 eps) 1))) 2) (-.f64 (exp.f64 (-.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) x) (.f64 eps x))) (.f64 (exp.f64 (*.f64 (+.f64 1 eps) x)) (-.f64 (/.f64 1 eps) 1)))) 1/3)
(pow.f64 (.f64 (pow.f64 (-.f64 (exp.f64 (-.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) x) (.f64 eps x))) (.f64 (exp.f64 (.f64 (+.f64 eps 1) x)) (-.f64 (/.f64 1 eps) 1))) 2) (-.f64 (exp.f64 (-.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) x) (.f64 eps x))) (.f64 (exp.f64 (*.f64 (+.f64 1 eps) x)) (-.f64 (/.f64 1 eps) 1)))) 1/3)
(pow.f64 (.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 (exp.f64 (.f64 (+.f64 1 eps) x)) (-.f64 (/.f64 1 eps) 1))) (pow.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 (exp.f64 (*.f64 (+.f64 eps 1) x)) (-.f64 (/.f64 1 eps) 1))) 2)) 1/3)
(pow.f64 (.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 (exp.f64 (.f64 (+.f64 1 eps) x)) (-.f64 (/.f64 1 eps) 1))) (pow.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 (exp.f64 (*.f64 (+.f64 eps 1) x)) (-.f64 (/.f64 1 eps) 1))) 2)) 1/3)
(pow.f64 (.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 (exp.f64 (.f64 (+.f64 1 eps) x)) (-.f64 (/.f64 1 eps) 1))) (pow.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 (exp.f64 (*.f64 (+.f64 eps 1) x)) (-.f64 (/.f64 1 eps) 1))) 2)) 1/3)
(pow.f64 (.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 (exp.f64 (.f64 (+.f64 1 eps) x)) (-.f64 (/.f64 1 eps) 1))) (pow.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 (exp.f64 (*.f64 (+.f64 eps 1) x)) (-.f64 (/.f64 1 eps) 1))) 2)) 1/3)
(pow.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 -1 (exp.f64 (*.f64 (+.f64 eps 1) x)))) 1/3)
(+.f64 (.f64 -1/3 (.f64 (/.f64 (exp.f64 (.f64 (+.f64 eps 1) x)) eps) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 -1 (exp.f64 (.f64 (+.f64 eps 1) x)))) 2)) 1/9))) (pow.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 -1 (exp.f64 (*.f64 (+.f64 eps 1) x)))) 1/3))
(+.f64 (.f64 -1/3 (.f64 (/.f64 (exp.f64 (.f64 (+.f64 eps 1) x)) eps) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 -1 (exp.f64 (.f64 (+.f64 eps 1) x)))) 2)) 1/9))) (+.f64 (pow.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 -1 (exp.f64 (.f64 (+.f64 eps 1) x)))) 1/3) (.f64 -1/9 (.f64 (/.f64 (pow.f64 (exp.f64 (.f64 (+.f64 eps 1) x)) 2) (pow.f64 eps 2)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 -1 (exp.f64 (*.f64 (+.f64 eps 1) x)))) 7)) 1/9)))))
(+.f64 (.f64 -1/3 (.f64 (/.f64 (exp.f64 (.f64 (+.f64 eps 1) x)) eps) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 -1 (exp.f64 (.f64 (+.f64 eps 1) x)))) 2)) 1/9))) (+.f64 (pow.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 -1 (exp.f64 (.f64 (+.f64 eps 1) x)))) 1/3) (+.f64 (.f64 -1/3 (.f64 (/.f64 (+.f64 (.f64 -1/27 (.f64 (pow.f64 (exp.f64 (.f64 (+.f64 eps 1) x)) 3) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 -1 (exp.f64 (.f64 (+.f64 eps 1) x)))) 2)) 1/3))) (.f64 2/9 (.f64 (pow.f64 (exp.f64 (.f64 (+.f64 eps 1) x)) 3) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 -1 (exp.f64 (.f64 (+.f64 eps 1) x)))) 2)) 1/3)))) (pow.f64 eps 3)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 -1 (exp.f64 (.f64 (+.f64 eps 1) x)))) 2)) 1/3))) (.f64 -1/9 (.f64 (/.f64 (pow.f64 (exp.f64 (.f64 (+.f64 eps 1) x)) 2) (pow.f64 eps 2)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 -1 (exp.f64 (.f64 (+.f64 eps 1) x)))) 7)) 1/9))))))
(pow.f64 (-.f64 (exp.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1 eps)) x) (log1p.f64 (/.f64 1 eps)))) (.f64 -1 (exp.f64 (.f64 (-.f64 1 (*.f64 -1 eps)) x)))) 1/3)
(+.f64 (.f64 -1/3 (.f64 (/.f64 (exp.f64 (.f64 (-.f64 1 (.f64 -1 eps)) x)) eps) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1 eps)) x) (log1p.f64 (/.f64 1 eps)))) (.f64 -1 (exp.f64 (.f64 (-.f64 1 (.f64 -1 eps)) x)))) 2)) 1/9))) (pow.f64 (-.f64 (exp.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1 eps)) x) (log1p.f64 (/.f64 1 eps)))) (.f64 -1 (exp.f64 (.f64 (-.f64 1 (.f64 -1 eps)) x)))) 1/3))
(+.f64 (.f64 -1/3 (.f64 (/.f64 (exp.f64 (.f64 (-.f64 1 (.f64 -1 eps)) x)) eps) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1 eps)) x) (log1p.f64 (/.f64 1 eps)))) (.f64 -1 (exp.f64 (.f64 (-.f64 1 (.f64 -1 eps)) x)))) 2)) 1/9))) (+.f64 (.f64 -1/9 (.f64 (/.f64 (pow.f64 (exp.f64 (.f64 (-.f64 1 (.f64 -1 eps)) x)) 2) (pow.f64 eps 2)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1 eps)) x) (log1p.f64 (/.f64 1 eps)))) (.f64 -1 (exp.f64 (.f64 (-.f64 1 (.f64 -1 eps)) x)))) 7)) 1/9))) (pow.f64 (-.f64 (exp.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1 eps)) x) (log1p.f64 (/.f64 1 eps)))) (.f64 -1 (exp.f64 (.f64 (-.f64 1 (*.f64 -1 eps)) x)))) 1/3)))
(+.f64 (.f64 -1/3 (.f64 (/.f64 (exp.f64 (.f64 (-.f64 1 (.f64 -1 eps)) x)) eps) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1 eps)) x) (log1p.f64 (/.f64 1 eps)))) (.f64 -1 (exp.f64 (.f64 (-.f64 1 (.f64 -1 eps)) x)))) 2)) 1/9))) (+.f64 (.f64 -1/9 (.f64 (/.f64 (pow.f64 (exp.f64 (.f64 (-.f64 1 (.f64 -1 eps)) x)) 2) (pow.f64 eps 2)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1 eps)) x) (log1p.f64 (/.f64 1 eps)))) (.f64 -1 (exp.f64 (.f64 (-.f64 1 (.f64 -1 eps)) x)))) 7)) 1/9))) (+.f64 (.f64 1/3 (.f64 (/.f64 (+.f64 (.f64 1/27 (.f64 (pow.f64 (exp.f64 (.f64 (-.f64 1 (.f64 -1 eps)) x)) 3) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1 eps)) x) (log1p.f64 (/.f64 1 eps)))) (.f64 -1 (exp.f64 (.f64 (-.f64 1 (.f64 -1 eps)) x)))) 2)) 1/3))) (.f64 -2/9 (.f64 (pow.f64 (exp.f64 (.f64 (-.f64 1 (.f64 -1 eps)) x)) 3) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1 eps)) x) (log1p.f64 (/.f64 1 eps)))) (.f64 -1 (exp.f64 (.f64 (-.f64 1 (.f64 -1 eps)) x)))) 2)) 1/3)))) (pow.f64 eps 3)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1 eps)) x) (log1p.f64 (/.f64 1 eps)))) (.f64 -1 (exp.f64 (.f64 (-.f64 1 (.f64 -1 eps)) x)))) 2)) 1/3))) (pow.f64 (-.f64 (exp.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1 eps)) x) (log1p.f64 (/.f64 1 eps)))) (.f64 -1 (exp.f64 (.f64 (-.f64 1 (.f64 -1 eps)) x)))) 1/3))))
(cbrt.f64 2)
(+.f64 (cbrt.f64 2) (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps)) (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))) x) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3))))
(+.f64 (cbrt.f64 2) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 2))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 (/.f64 1 eps) 1))) (.f64 1/3 (.f64 (pow.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps)) (.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1))) 2) (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3))))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 2) 2))) (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps)) (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))) x) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3)))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/6 (.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 3))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (+.f64 eps 1) 3) (-.f64 (/.f64 1 eps) 1))) (+.f64 (.f64 1/27 (/.f64 (pow.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps)) (.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1))) 3) (pow.f64 (cbrt.f64 2) 2))) (.f64 2/3 (.f64 (.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps)) (.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1))) (-.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 2))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2))) (.f64 1/3 (.f64 (pow.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps)) (.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))) 2) (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3)))))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3)))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 2) 2))) (+.f64 (cbrt.f64 2) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 2))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 (/.f64 1 eps) 1))) (.f64 1/3 (.f64 (pow.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps)) (.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1))) 2) (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3))))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 2) 2))) (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps)) (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))) x) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3))))))
(pow.f64 (-.f64 (exp.f64 (-.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) x) (.f64 eps x))) (.f64 (exp.f64 (*.f64 (+.f64 eps 1) x)) (-.f64 (/.f64 1 eps) 1))) 1/3)
(pow.f64 (-.f64 (exp.f64 (-.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) x) (.f64 eps x))) (.f64 (exp.f64 (*.f64 (+.f64 eps 1) x)) (-.f64 (/.f64 1 eps) 1))) 1/3)
(pow.f64 (-.f64 (exp.f64 (-.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) x) (.f64 eps x))) (.f64 (exp.f64 (*.f64 (+.f64 eps 1) x)) (-.f64 (/.f64 1 eps) 1))) 1/3)
(pow.f64 (-.f64 (exp.f64 (-.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) x) (.f64 eps x))) (.f64 (exp.f64 (*.f64 (+.f64 eps 1) x)) (-.f64 (/.f64 1 eps) 1))) 1/3)
(pow.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 (exp.f64 (*.f64 (+.f64 eps 1) x)) (-.f64 (/.f64 1 eps) 1))) 1/3)
(pow.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 (exp.f64 (*.f64 (+.f64 eps 1) x)) (-.f64 (/.f64 1 eps) 1))) 1/3)
(pow.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 (exp.f64 (*.f64 (+.f64 eps 1) x)) (-.f64 (/.f64 1 eps) 1))) 1/3)
(pow.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 (exp.f64 (*.f64 (+.f64 eps 1) x)) (-.f64 (/.f64 1 eps) 1))) 1/3)

Outputs
(*.f64 -1 (/.f64 (exp.f64 x) eps))
(/.f64 (neg.f64 (exp.f64 x)) eps)
(-.f64 (+.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 eps)) x)) (.f64 -1 (/.f64 (exp.f64 x) eps))) (+.f64 (.f64 -1 (exp.f64 x)) (.f64 (exp.f64 x) x)))
(+.f64 (exp.f64 (fma.f64 -1 (log.f64 eps) x)) (-.f64 (/.f64 (neg.f64 (exp.f64 x)) eps) (fma.f64 -1 (exp.f64 x) (*.f64 x (exp.f64 x)))))
(-.f64 (-.f64 (exp.f64 (-.f64 x (log.f64 eps))) (/.f64 (exp.f64 x) eps)) (*.f64 (exp.f64 x) (+.f64 -1 x)))
(+.f64 (/.f64 (neg.f64 (exp.f64 x)) eps) (fma.f64 (exp.f64 x) (-.f64 1 x) (/.f64 (exp.f64 x) eps)))
(-.f64 (+.f64 (.f64 eps (-.f64 (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 eps)) x)) (+.f64 1 (.f64 -1 x))) (+.f64 (.f64 1/2 (.f64 (exp.f64 x) (pow.f64 x 2))) (.f64 -1 (.f64 (exp.f64 x) x))))) (+.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 eps)) x)) (.f64 -1 (/.f64 (exp.f64 x) eps)))) (+.f64 (.f64 -1 (exp.f64 x)) (.f64 (exp.f64 x) x)))
(-.f64 (fma.f64 eps (-.f64 (.f64 (exp.f64 (fma.f64 -1 (log.f64 eps) x)) (+.f64 1 (neg.f64 x))) (fma.f64 1/2 (.f64 (exp.f64 x) (.f64 x x)) (.f64 (neg.f64 (exp.f64 x)) x))) (+.f64 (/.f64 (neg.f64 (exp.f64 x)) eps) (exp.f64 (fma.f64 -1 (log.f64 eps) x)))) (fma.f64 -1 (exp.f64 x) (*.f64 x (exp.f64 x))))
(-.f64 (-.f64 (fma.f64 eps (+.f64 (fma.f64 (exp.f64 (-.f64 x (log.f64 eps))) (-.f64 1 x) (neg.f64 (.f64 (exp.f64 x) (.f64 (.f64 x x) 1/2)))) (.f64 x (exp.f64 x))) (exp.f64 (-.f64 x (log.f64 eps)))) (/.f64 (exp.f64 x) eps)) (*.f64 (exp.f64 x) (+.f64 -1 x)))
(+.f64 (-.f64 (fma.f64 eps (+.f64 (fma.f64 (/.f64 (exp.f64 x) eps) (-.f64 1 x) (.f64 x (exp.f64 x))) (.f64 (exp.f64 x) (.f64 (.f64 x x) -1/2))) (/.f64 (exp.f64 x) eps)) (/.f64 (exp.f64 x) eps)) (*.f64 (exp.f64 x) (-.f64 1 x)))
(-.f64 (+.f64 (.f64 eps (-.f64 (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 eps)) x)) (+.f64 1 (.f64 -1 x))) (+.f64 (.f64 1/2 (.f64 (exp.f64 x) (pow.f64 x 2))) (.f64 -1 (.f64 (exp.f64 x) x))))) (+.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 eps)) 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 -1/2 (.f64 (exp.f64 x) (pow.f64 x 2))) (.f64 1/6 (.f64 (exp.f64 x) (pow.f64 x 3)))))) (.f64 -1 (/.f64 (exp.f64 x) eps))))) (+.f64 (.f64 -1 (exp.f64 x)) (*.f64 (exp.f64 x) x)))
(-.f64 (fma.f64 eps (-.f64 (.f64 (exp.f64 (fma.f64 -1 (log.f64 eps) x)) (+.f64 1 (neg.f64 x))) (fma.f64 1/2 (.f64 (exp.f64 x) (.f64 x x)) (.f64 (neg.f64 (exp.f64 x)) x))) (+.f64 (exp.f64 (fma.f64 -1 (log.f64 eps) x)) (fma.f64 (.f64 eps eps) (-.f64 (.f64 (exp.f64 (fma.f64 -1 (log.f64 eps) x)) (fma.f64 1/2 (pow.f64 (+.f64 1 (neg.f64 x)) 2) -1/2)) (fma.f64 -1/2 (.f64 (exp.f64 x) (.f64 x x)) (.f64 1/6 (.f64 (exp.f64 x) (pow.f64 x 3))))) (/.f64 (neg.f64 (exp.f64 x)) eps)))) (fma.f64 -1 (exp.f64 x) (*.f64 x (exp.f64 x))))
(-.f64 (fma.f64 eps (+.f64 (fma.f64 (exp.f64 (-.f64 x (log.f64 eps))) (-.f64 1 x) (neg.f64 (.f64 (exp.f64 x) (.f64 (.f64 x x) 1/2)))) (.f64 x (exp.f64 x))) (-.f64 (fma.f64 (pow.f64 eps -1) (exp.f64 x) (.f64 (.f64 eps eps) (-.f64 (.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 (pow.f64 x 3) (.f64 (exp.f64 x) 1/6)))))) (/.f64 (exp.f64 x) eps))) (.f64 (exp.f64 x) (+.f64 -1 x)))
(fma.f64 eps (+.f64 (fma.f64 (/.f64 (exp.f64 x) eps) (-.f64 1 x) (.f64 x (exp.f64 x))) (.f64 (exp.f64 x) (.f64 (.f64 x x) -1/2))) (+.f64 (fma.f64 (.f64 eps eps) (-.f64 (.f64 (/.f64 (exp.f64 x) 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 (pow.f64 x 3) (.f64 (exp.f64 x) 1/6)))) (/.f64 (neg.f64 (exp.f64 x)) eps)) (fma.f64 (exp.f64 x) (-.f64 1 x) (/.f64 (exp.f64 x) eps))))
(-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 -1 (exp.f64 (*.f64 (+.f64 eps 1) x))))
(-.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (neg.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x)))
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2
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(exp.f64 (-.f64 x (log.f64 eps)))
(/.f64 (exp.f64 x) eps)
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2
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(cbrt.f64 2)
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(+.f64 (cbrt.f64 2) (.f64 1/3 (.f64 (-.f64 (.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) (.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 eps 1))) (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)))))))
(fma.f64 1/3 (.f64 x (.f64 (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 -1 (neg.f64 eps)))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))))) (cbrt.f64 2))
(fma.f64 1/3 (.f64 x (.f64 (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 -1 (/.f64 1 eps)) (-.f64 -1 eps))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))))) (cbrt.f64 2))
(+.f64 (cbrt.f64 2) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 2))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 (/.f64 1 eps) 1))) (.f64 1/3 (.f64 (pow.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps)) (.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1))) 2) (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3))))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 2) 2))) (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps)) (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))) x) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3)))))
(+.f64 (cbrt.f64 2) (.f64 1/3 (+.f64 (/.f64 (-.f64 (.f64 1/2 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2)) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (+.f64 eps 1) 2)))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) (pow.f64 (-.f64 (.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) (.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 eps 1))) 2)))) (/.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 x x))) (.f64 (-.f64 (.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) (.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 eps 1))) (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))))))))
(fma.f64 1/3 (+.f64 (.f64 x (.f64 (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 -1 (neg.f64 eps)))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))))) (.f64 (/.f64 (+.f64 (.f64 1/2 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2)) (.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (+.f64 eps 1) 2)))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) (pow.f64 (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 -1 (neg.f64 eps)))) 2)))) (pow.f64 (cbrt.f64 2) 2)) (*.f64 x x))) (cbrt.f64 2))
(fma.f64 1/3 (+.f64 (.f64 x (.f64 (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (.f64 (+.f64 -1 (/.f64 1 eps)) (-.f64 -1 eps))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))))) (.f64 (/.f64 (+.f64 (.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2) (.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 eps 1) 2)))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) (pow.f64 (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (.f64 (+.f64 -1 (/.f64 1 eps)) (-.f64 -1 eps))) 2)))) (pow.f64 (cbrt.f64 2) 2)) (.f64 x x))) (cbrt.f64 2))
(+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/6 (.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 3))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (+.f64 eps 1) 3) (-.f64 (/.f64 1 eps) 1))) (+.f64 (.f64 1/27 (/.f64 (pow.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps)) (.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1))) 3) (pow.f64 (cbrt.f64 2) 2))) (.f64 2/3 (.f64 (.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps)) (.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1))) (-.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 2))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2))) (.f64 1/3 (.f64 (pow.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps)) (.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))) 2) (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3)))))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3)))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 2) 2))) (+.f64 (cbrt.f64 2) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 2))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 (/.f64 1 eps) 1))) (.f64 1/3 (.f64 (pow.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps)) (.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1))) 2) (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3))))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 2) 2))) (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps)) (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))) x) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3))))))
(fma.f64 1/3 (/.f64 (-.f64 (.f64 1/6 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 3)) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (+.f64 eps 1) 3)))) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5))) (.f64 (-.f64 (.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) (.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 eps 1))) (-.f64 (.f64 1/2 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2)) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (+.f64 eps 1) 2)))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) (pow.f64 (-.f64 (.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) (.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 eps 1))) 2)))))) (.f64 1/27 (/.f64 (pow.f64 (-.f64 (.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) (.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 eps 1))) 3) (pow.f64 (cbrt.f64 2) 2))))) (/.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 x 3))) (+.f64 (cbrt.f64 2) (.f64 1/3 (+.f64 (/.f64 (-.f64 (.f64 1/2 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2)) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (+.f64 eps 1) 2)))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) (pow.f64 (-.f64 (.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) (.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 eps 1))) 2)))) (/.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 x x))) (.f64 (-.f64 (.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) (.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 eps 1))) (.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)))))))))
(fma.f64 1/3 (/.f64 (-.f64 (.f64 1/6 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 3)) (.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (+.f64 eps 1) 3)))) (fma.f64 1/27 (/.f64 (pow.f64 (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 -1 (neg.f64 eps)))) 3) (pow.f64 (cbrt.f64 2) 2)) (.f64 (.f64 (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 -1 (neg.f64 eps)))) (+.f64 (.f64 1/2 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2)) (.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (+.f64 eps 1) 2)))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) (pow.f64 (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 -1 (neg.f64 eps)))) 2))))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5))) 2/3)))) (/.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 x 3))) (fma.f64 1/3 (+.f64 (.f64 x (.f64 (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 -1 (neg.f64 eps)))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))))) (.f64 (/.f64 (+.f64 (.f64 1/2 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2)) (.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (+.f64 eps 1) 2)))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) (pow.f64 (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 -1 (neg.f64 eps)))) 2)))) (pow.f64 (cbrt.f64 2) 2)) (*.f64 x x))) (cbrt.f64 2)))
(fma.f64 1/3 (/.f64 (-.f64 (.f64 1/6 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 3) (.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 eps 1) 3)))) (fma.f64 1/27 (/.f64 (pow.f64 (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (.f64 (+.f64 -1 (/.f64 1 eps)) (-.f64 -1 eps))) 3) (pow.f64 (cbrt.f64 2) 2)) (.f64 (.f64 (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (.f64 (+.f64 -1 (/.f64 1 eps)) (-.f64 -1 eps))) (+.f64 (.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2) (.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 eps 1) 2)))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) (pow.f64 (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (.f64 (+.f64 -1 (/.f64 1 eps)) (-.f64 -1 eps))) 2))))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5))) 2/3)))) (/.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 x 3))) (fma.f64 1/3 (+.f64 (.f64 x (.f64 (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (.f64 (+.f64 -1 (/.f64 1 eps)) (-.f64 -1 eps))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))))) (.f64 (/.f64 (+.f64 (.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2) (.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 eps 1) 2)))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) (pow.f64 (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (.f64 (+.f64 -1 (/.f64 1 eps)) (-.f64 -1 eps))) 2)))) (pow.f64 (cbrt.f64 2) 2)) (.f64 x x))) (cbrt.f64 2)))
(pow.f64 (-.f64 (exp.f64 (-.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) x) (.f64 eps x))) (.f64 (exp.f64 (*.f64 (+.f64 eps 1) x)) (-.f64 (/.f64 1 eps) 1))) 1/3)
(cbrt.f64 (-.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (-.f64 x (.f64 x eps)))) (.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x) (+.f64 (/.f64 1 eps) -1))))
(cbrt.f64 (-.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (-.f64 x (.f64 x eps)))) (.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (+.f64 -1 (/.f64 1 eps)))))
(cbrt.f64 (+.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (+.f64 1 (/.f64 -1 eps)))))
(pow.f64 (-.f64 (exp.f64 (-.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) x) (.f64 eps x))) (.f64 (exp.f64 (*.f64 (+.f64 eps 1) x)) (-.f64 (/.f64 1 eps) 1))) 1/3)
(cbrt.f64 (-.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (-.f64 x (.f64 x eps)))) (.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x) (+.f64 (/.f64 1 eps) -1))))
(cbrt.f64 (-.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (-.f64 x (.f64 x eps)))) (.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (+.f64 -1 (/.f64 1 eps)))))
(cbrt.f64 (+.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (+.f64 1 (/.f64 -1 eps)))))
(pow.f64 (-.f64 (exp.f64 (-.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) x) (.f64 eps x))) (.f64 (exp.f64 (*.f64 (+.f64 eps 1) x)) (-.f64 (/.f64 1 eps) 1))) 1/3)
(cbrt.f64 (-.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (-.f64 x (.f64 x eps)))) (.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x) (+.f64 (/.f64 1 eps) -1))))
(cbrt.f64 (-.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (-.f64 x (.f64 x eps)))) (.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (+.f64 -1 (/.f64 1 eps)))))
(cbrt.f64 (+.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (+.f64 1 (/.f64 -1 eps)))))
(pow.f64 (-.f64 (exp.f64 (-.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) x) (.f64 eps x))) (.f64 (exp.f64 (*.f64 (+.f64 eps 1) x)) (-.f64 (/.f64 1 eps) 1))) 1/3)
(cbrt.f64 (-.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (-.f64 x (.f64 x eps)))) (.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x) (+.f64 (/.f64 1 eps) -1))))
(cbrt.f64 (-.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (-.f64 x (.f64 x eps)))) (.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (+.f64 -1 (/.f64 1 eps)))))
(cbrt.f64 (+.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (+.f64 1 (/.f64 -1 eps)))))
(pow.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 (exp.f64 (*.f64 (+.f64 eps 1) x)) (-.f64 (/.f64 1 eps) 1))) 1/3)
(cbrt.f64 (-.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (-.f64 x (.f64 x eps)))) (.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x) (+.f64 (/.f64 1 eps) -1))))
(cbrt.f64 (-.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (-.f64 x (.f64 x eps)))) (.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (+.f64 -1 (/.f64 1 eps)))))
(cbrt.f64 (+.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (+.f64 1 (/.f64 -1 eps)))))
(pow.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 (exp.f64 (*.f64 (+.f64 eps 1) x)) (-.f64 (/.f64 1 eps) 1))) 1/3)
(cbrt.f64 (-.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (-.f64 x (.f64 x eps)))) (.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x) (+.f64 (/.f64 1 eps) -1))))
(cbrt.f64 (-.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (-.f64 x (.f64 x eps)))) (.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (+.f64 -1 (/.f64 1 eps)))))
(cbrt.f64 (+.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (+.f64 1 (/.f64 -1 eps)))))
(pow.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 (exp.f64 (*.f64 (+.f64 eps 1) x)) (-.f64 (/.f64 1 eps) 1))) 1/3)
(cbrt.f64 (-.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (-.f64 x (.f64 x eps)))) (.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x) (+.f64 (/.f64 1 eps) -1))))
(cbrt.f64 (-.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (-.f64 x (.f64 x eps)))) (.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (+.f64 -1 (/.f64 1 eps)))))
(cbrt.f64 (+.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (+.f64 1 (/.f64 -1 eps)))))
(pow.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 (exp.f64 (*.f64 (+.f64 eps 1) x)) (-.f64 (/.f64 1 eps) 1))) 1/3)
(cbrt.f64 (-.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (-.f64 x (.f64 x eps)))) (.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x) (+.f64 (/.f64 1 eps) -1))))
(cbrt.f64 (-.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (-.f64 x (.f64 x eps)))) (.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (+.f64 -1 (/.f64 1 eps)))))
(cbrt.f64 (+.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (+.f64 1 (/.f64 -1 eps)))))

prune537.0ms (8.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	250	0	250
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	250	4	254

Error

Counts

254 → 4

Alt Table

Status	Error	Program
✓	32.7b	(/.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)
✓	61.2b	(/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))) 3) 2)
✓	0.4b	(/.f64 (.f64 2 (.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))) 2)
✓	0.3b	(/.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 (.f64 -1 (.f64 (exp.f64 (neg.f64 x)) x)) (.f64 -1 (exp.f64 (neg.f64 x))))) 2)

Compiler

Compiled 20167 to 15895 computations (21.2% saved)

regimes23.0ms (0.4%)

Accuracy

Total -61.3b remaining (-17673.8%)

Threshold costs -61.3b (-17673.8%)

Counts

5 → 1

Calls

Call 1

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

Results

4.0ms	0.3b	`x`
10.0ms	0.3b	`eps`
3.0ms	0.3b	`(/.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)`
3.0ms	0.3b	`(-.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 187 to 137 computations (26.7% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`distribute-rgt-neg-in_binary64`
22×	`cancel-sign-sub-inv_binary64`
16×	`distribute-lft-neg-in_binary64`
12×	`sub-neg_binary64`
12×	`neg-sub0_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	25	37
2	43	35
3	73	35
4	116	35
5	135	35
6	143	35
7	157	35
8	170	35
9	174	35

Stop Event

1×

saturated

Calls

Call 1

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

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

end16.0ms (0.2%)

Stop Event

1×

done

Compiler

Compiled 46 to 18 computations (60.9% saved)

Details

analyze154.0ms (2.4%)

sample4.2s (64.6%)

preprocess43.0ms (0.7%)

simplify46.0ms (0.7%)

prune5.0ms (0.1%)

localize16.0ms (0.2%)

series18.0ms (0.3%)

rewrite106.0ms (1.6%)

simplify51.0ms (0.8%)

prune448.0ms (6.9%)

localize11.0ms (0.2%)

series3.0ms (0.1%)

rewrite51.0ms (0.8%)

simplify47.0ms (0.7%)

prune79.0ms (1.2%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite40.0ms (0.6%)

simplify58.0ms (0.9%)

prune79.0ms (1.2%)

localize17.0ms (0.3%)

series96.0ms (1.5%)

rewrite158.0ms (2.4%)

simplify167.0ms (2.6%)

prune537.0ms (8.3%)

regimes23.0ms (0.4%)

simplify4.0ms (0.1%)

end16.0ms (0.2%)

Profiling