Details

analyze361.0ms (8.1%)

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
46.4%	7.8%	45.8%	13
46.4%	6.6%	47%	14

Compiler

Compiled 32 to 26 computations (18.8% saved)

sample3.2s (71.8%)

Results

1.4s	2013×	body	1024	valid
764.0ms	4477×	body	128	valid
510.0ms	1053×	body	512	valid
241.0ms	217×	body	2048	valid
148.0ms	496×	body	256	valid
72.0ms	420×	body	128	invalid
12.0ms	18×	body	1024	invalid
6.0ms	12×	body	512	invalid
2.0ms	7×	body	256	invalid

Compiler

Compiled 64 to 52 computations (18.8% saved)

preprocess41.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

232×	`div-sub_binary64`
232×	`fma-def_binary64`
188×	`times-frac_binary64`
184×	`distribute-rgt-neg-in_binary64`
169×	`distribute-lft-neg-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 (-.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)

Compiler

Compiled 31 to 25 computations (19.4% saved)

simplify24.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

750×	`times-frac_binary64`
534×	`cancel-sign-sub-inv_binary64`
519×	`fma-neg_binary64`
197×	`associate-/l/_binary64`
123×	`distribute-rgt-in_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

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

28.1b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	28.2b	(/.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)
	29.6b	(*.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

▶

28.2b

(/.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)

29.6b

(*.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)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))))
✓	0.1b	(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
✓	0.1b	(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
✓	3.6b	(-.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)))))

series57.0ms (1.3%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
10.0ms	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)))))
9.0ms	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)))))
4.0ms	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)))))
4.0ms	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)))))
4.0ms	x	@	-inf	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))))

rewrite56.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

209×	`add-sqr-sqrt_binary64`
206×	`*-un-lft-identity_binary64`
206×	`pow1_binary64`
194×	`add-log-exp_binary64`
192×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	84
1	412	72

Stop Event

1×	node limit

Counts

4 → 120

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

simplify57.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

372×	`cancel-sign-sub-inv_binary64`
357×	`fma-def_binary64`
251×	`distribute-rgt-out_binary64`
245×	`associate-+r+_binary64`
212×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	216	2581
1	762	2498
2	2944	2382

Stop Event

1×	node limit

Counts

216 → 187

Calls

Call 1

Inputs
(+.f64 (.f64 2 (.f64 x (exp.f64 (neg.f64 x)))) (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (+.f64 (.f64 2 (.f64 x (exp.f64 (neg.f64 x)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x))))) (.f64 2 (exp.f64 (neg.f64 x))))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (+.f64 (.f64 1/60 (.f64 (pow.f64 eps 4) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (+.f64 (.f64 2 (.f64 x (exp.f64 (neg.f64 x)))) (+.f64 (.f64 1/12 (.f64 (pow.f64 eps 4) (.f64 (pow.f64 x 4) (exp.f64 (neg.f64 x))))) (.f64 2 (exp.f64 (neg.f64 x))))))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (+.f64 (.f64 1/12 (.f64 (pow.f64 eps 4) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (+.f64 (.f64 2 (.f64 x (exp.f64 (neg.f64 x)))) (+.f64 (.f64 1/60 (.f64 (pow.f64 eps 4) (.f64 (pow.f64 x 5) (exp.f64 (neg.f64 x))))) (+.f64 (.f64 1/360 (.f64 (pow.f64 eps 6) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)))) (+.f64 (.f64 1/2520 (.f64 (pow.f64 eps 6) (.f64 (pow.f64 x 7) (exp.f64 (neg.f64 x))))) (.f64 2 (exp.f64 (neg.f64 x))))))))))
(+.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) (exp.f64 (-.f64 (.f64 eps x) x)))
(-.f64 (+.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) (+.f64 (/.f64 (exp.f64 (-.f64 (.f64 eps x) x)) eps) (exp.f64 (-.f64 (.f64 eps x) x)))) (/.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) eps))
(-.f64 (+.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) (+.f64 (/.f64 (exp.f64 (-.f64 (.f64 eps x) x)) eps) (exp.f64 (-.f64 (.f64 eps x) x)))) (/.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) eps))
(-.f64 (+.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) (+.f64 (/.f64 (exp.f64 (-.f64 (.f64 eps x) x)) eps) (exp.f64 (-.f64 (.f64 eps x) x)))) (/.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) eps))
(+.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) (exp.f64 (-.f64 (.f64 eps x) x)))
(-.f64 (+.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) (+.f64 (/.f64 (exp.f64 (-.f64 (.f64 eps x) x)) eps) (exp.f64 (-.f64 (.f64 eps x) x)))) (/.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) eps))
(-.f64 (+.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) (+.f64 (/.f64 (exp.f64 (-.f64 (.f64 eps x) x)) eps) (exp.f64 (-.f64 (.f64 eps x) x)))) (/.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) eps))
(-.f64 (+.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) (+.f64 (/.f64 (exp.f64 (-.f64 (.f64 eps x) x)) eps) (exp.f64 (-.f64 (.f64 eps x) x)))) (/.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) eps))
2
(-.f64 (+.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) 2) (pow.f64 x 2))
(-.f64 (+.f64 (.f64 (pow.f64 eps 2) (pow.f64 x 2)) (+.f64 2 (.f64 2/3 (pow.f64 x 3)))) (+.f64 (pow.f64 x 2) (.f64 2/3 (.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 (pow.f64 eps 2) (pow.f64 x 2)) (+.f64 2 (+.f64 (.f64 1/12 (.f64 (pow.f64 eps 4) (pow.f64 x 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 4))) (.f64 2/3 (pow.f64 x 3)))))) (+.f64 (.f64 1/4 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 2/3 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(-.f64 (+.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) (+.f64 (/.f64 (exp.f64 (-.f64 (.f64 eps x) x)) eps) (exp.f64 (-.f64 (.f64 eps x) x)))) (/.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) eps))
(-.f64 (+.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) (+.f64 (/.f64 (exp.f64 (-.f64 (.f64 eps x) x)) eps) (exp.f64 (-.f64 (.f64 eps x) x)))) (/.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) eps))
(-.f64 (+.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) (+.f64 (/.f64 (exp.f64 (-.f64 (.f64 eps x) x)) eps) (exp.f64 (-.f64 (.f64 eps x) x)))) (/.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) eps))
(-.f64 (+.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) (+.f64 (/.f64 (exp.f64 (-.f64 (.f64 eps x) x)) eps) (exp.f64 (-.f64 (.f64 eps x) x)))) (/.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) eps))
(-.f64 (+.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) (+.f64 (/.f64 (exp.f64 (-.f64 (.f64 eps x) x)) eps) (exp.f64 (-.f64 (.f64 eps x) x)))) (/.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) eps))
(-.f64 (+.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) (+.f64 (/.f64 (exp.f64 (-.f64 (.f64 eps x) x)) eps) (exp.f64 (-.f64 (.f64 eps x) x)))) (/.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) eps))
(-.f64 (+.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) (+.f64 (/.f64 (exp.f64 (-.f64 (.f64 eps x) x)) eps) (exp.f64 (-.f64 (.f64 eps x) x)))) (/.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) eps))
(-.f64 (+.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) (+.f64 (/.f64 (exp.f64 (-.f64 (.f64 eps x) x)) eps) (exp.f64 (-.f64 (.f64 eps x) x)))) (/.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) eps))
(exp.f64 (neg.f64 x))
(-.f64 (exp.f64 (neg.f64 x)) (.f64 eps (.f64 (exp.f64 (neg.f64 x)) x)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 2) (exp.f64 (neg.f64 x))))) (exp.f64 (neg.f64 x))) (.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (exp.f64 (neg.f64 x))) (+.f64 (.f64 eps (.f64 (exp.f64 (neg.f64 x)) x)) (.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))))))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
1
(-.f64 1 (+.f64 (*.f64 eps x) x))
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 eps (pow.f64 x 2)) (.f64 1/2 (pow.f64 x 2))))) (+.f64 (*.f64 eps x) x))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 eps (pow.f64 x 2))))) (+.f64 (.f64 eps x) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (.f64 eps (pow.f64 x 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) x))))))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (neg.f64 x))
(+.f64 (.f64 eps (.f64 (exp.f64 (neg.f64 x)) x)) (exp.f64 (neg.f64 x)))
(+.f64 (.f64 eps (.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (neg.f64 x))))) (exp.f64 (neg.f64 x))))
(+.f64 (.f64 eps (.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (exp.f64 (neg.f64 x)))))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
1
(-.f64 (+.f64 (*.f64 eps x) 1) x)
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 eps x) (+.f64 1 (.f64 1/2 (pow.f64 x 2))))) (+.f64 (*.f64 eps (pow.f64 x 2)) x))
(-.f64 (+.f64 1 (+.f64 (.f64 eps x) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 1/2 (.f64 eps (pow.f64 x 3)))))))) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) x))))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(/.f64 (exp.f64 (neg.f64 x)) eps)
(+.f64 (*.f64 x (exp.f64 (neg.f64 x))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x))))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (.f64 eps (.f64 x (exp.f64 (neg.f64 x)))) (+.f64 (.f64 1/2 (.f64 eps (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (exp.f64 (neg.f64 x)) (.f64 (exp.f64 (neg.f64 x)) x)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 2) (exp.f64 (neg.f64 x))))) (+.f64 (.f64 1/2 (.f64 eps (.f64 (pow.f64 x 2) (exp.f64 (neg.f64 x))))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (.f64 eps (.f64 x (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 (exp.f64 (neg.f64 x)) x) (.f64 1/6 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x)))))))))))
(exp.f64 (-.f64 (*.f64 eps x) x))
(+.f64 (/.f64 (exp.f64 (-.f64 (.f64 eps x) x)) eps) (exp.f64 (-.f64 (.f64 eps x) x)))
(+.f64 (/.f64 (exp.f64 (-.f64 (.f64 eps x) x)) eps) (exp.f64 (-.f64 (.f64 eps x) x)))
(+.f64 (/.f64 (exp.f64 (-.f64 (.f64 eps x) x)) eps) (exp.f64 (-.f64 (.f64 eps x) x)))
(exp.f64 (-.f64 (*.f64 eps x) x))
(+.f64 (/.f64 (exp.f64 (-.f64 (.f64 eps x) x)) eps) (exp.f64 (-.f64 (.f64 eps x) x)))
(+.f64 (/.f64 (exp.f64 (-.f64 (.f64 eps x) x)) eps) (exp.f64 (-.f64 (.f64 eps x) x)))
(+.f64 (/.f64 (exp.f64 (-.f64 (.f64 eps x) x)) eps) (exp.f64 (-.f64 (.f64 eps x) x)))
(+.f64 1 (/.f64 1 eps))
(-.f64 (+.f64 (*.f64 eps x) (+.f64 1 (/.f64 1 eps))) (/.f64 x eps))
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 eps x) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) eps)) (/.f64 1 eps))))) (+.f64 (.f64 1/2 (.f64 eps (pow.f64 x 2))) (+.f64 (/.f64 x eps) (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 (+.f64 1 (+.f64 (.f64 eps x) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (/.f64 1 eps) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 1/2 (/.f64 (pow.f64 x 2) eps)))))))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 x 3) eps)) (+.f64 (/.f64 x eps) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/2 (.f64 eps (pow.f64 x 2))) (.f64 1/3 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))))))
(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (.f64 eps x) x)))
(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (.f64 eps x) x)))
(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (.f64 eps x) x)))
(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (.f64 eps x) x)))
(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (.f64 eps x) x)))
(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (.f64 eps x) x)))
(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (.f64 eps x) x)))
(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (.f64 eps x) x)))

Outputs
(+.f64 (.f64 2 (.f64 x (exp.f64 (neg.f64 x)))) (*.f64 2 (exp.f64 (neg.f64 x))))
(.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (.f64 x (exp.f64 (neg.f64 x)))))
(.f64 2 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))
(*.f64 (+.f64 x 1) (/.f64 2 (exp.f64 x)))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (+.f64 (.f64 2 (.f64 x (exp.f64 (neg.f64 x)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x))))) (.f64 2 (exp.f64 (neg.f64 x))))))
(fma.f64 (.f64 eps eps) (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)) (fma.f64 2 (.f64 x (exp.f64 (neg.f64 x))) (fma.f64 1/3 (.f64 (.f64 eps eps) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (.f64 2 (exp.f64 (neg.f64 x))))))
(+.f64 (fma.f64 1/3 (.f64 (exp.f64 (neg.f64 x)) (.f64 eps (.f64 eps (pow.f64 x 3)))) (/.f64 2 (exp.f64 x))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 x (.f64 x (.f64 eps eps))) (.f64 2 x))))
(+.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 x (+.f64 (.f64 (.f64 eps eps) x) 2)) 2)) (.f64 (.f64 eps eps) (*.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) 1/3)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (+.f64 (.f64 1/60 (.f64 (pow.f64 eps 4) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (+.f64 (.f64 2 (.f64 x (exp.f64 (neg.f64 x)))) (+.f64 (.f64 1/12 (.f64 (pow.f64 eps 4) (.f64 (pow.f64 x 4) (exp.f64 (neg.f64 x))))) (.f64 2 (exp.f64 (neg.f64 x))))))))
(fma.f64 1/3 (.f64 (.f64 eps eps) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (fma.f64 1/60 (.f64 (pow.f64 eps 4) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5))) (fma.f64 (.f64 eps eps) (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)) (fma.f64 2 (.f64 x (exp.f64 (neg.f64 x))) (fma.f64 1/12 (.f64 (pow.f64 eps 4) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4))) (.f64 2 (exp.f64 (neg.f64 x))))))))
(fma.f64 1/3 (.f64 (exp.f64 (neg.f64 x)) (.f64 eps (.f64 eps (pow.f64 x 3)))) (fma.f64 1/60 (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 eps 4) (pow.f64 x 5))) (+.f64 (fma.f64 1/12 (.f64 (pow.f64 eps 4) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4))) (/.f64 2 (exp.f64 x))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 x (.f64 x (.f64 eps eps))) (.f64 2 x))))))
(fma.f64 1/3 (.f64 eps (.f64 eps (/.f64 (pow.f64 x 3) (exp.f64 x)))) (fma.f64 1/60 (.f64 (pow.f64 eps 4) (/.f64 (pow.f64 x 5) (exp.f64 x))) (+.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 x (+.f64 (.f64 (.f64 eps eps) x) 2)) 2)) (.f64 (/.f64 (pow.f64 x 4) (exp.f64 x)) (*.f64 (pow.f64 eps 4) 1/12)))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (+.f64 (.f64 1/12 (.f64 (pow.f64 eps 4) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (+.f64 (.f64 2 (.f64 x (exp.f64 (neg.f64 x)))) (+.f64 (.f64 1/60 (.f64 (pow.f64 eps 4) (.f64 (pow.f64 x 5) (exp.f64 (neg.f64 x))))) (+.f64 (.f64 1/360 (.f64 (pow.f64 eps 6) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)))) (+.f64 (.f64 1/2520 (.f64 (pow.f64 eps 6) (.f64 (pow.f64 x 7) (exp.f64 (neg.f64 x))))) (.f64 2 (exp.f64 (neg.f64 x))))))))))
(fma.f64 1/3 (.f64 (.f64 eps eps) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (fma.f64 1/12 (.f64 (pow.f64 eps 4) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4))) (fma.f64 (.f64 eps eps) (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)) (fma.f64 2 (.f64 x (exp.f64 (neg.f64 x))) (fma.f64 1/60 (.f64 (pow.f64 eps 4) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5))) (fma.f64 1/360 (.f64 (pow.f64 eps 6) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6))) (fma.f64 1/2520 (.f64 (pow.f64 eps 6) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7))) (.f64 2 (exp.f64 (neg.f64 x))))))))))
(fma.f64 1/3 (.f64 (exp.f64 (neg.f64 x)) (.f64 eps (.f64 eps (pow.f64 x 3)))) (fma.f64 1/12 (.f64 (pow.f64 eps 4) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4))) (+.f64 (fma.f64 1/60 (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 eps 4) (pow.f64 x 5))) (fma.f64 1/360 (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 6) (pow.f64 eps 6))) (fma.f64 1/2520 (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 eps 6) (pow.f64 x 7))) (/.f64 2 (exp.f64 x))))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 x (.f64 x (.f64 eps eps))) (.f64 2 x))))))
(fma.f64 1/3 (.f64 eps (.f64 eps (/.f64 (pow.f64 x 3) (exp.f64 x)))) (fma.f64 1/12 (.f64 (pow.f64 eps 4) (/.f64 (pow.f64 x 4) (exp.f64 x))) (+.f64 (+.f64 (.f64 (pow.f64 eps 6) (+.f64 (.f64 1/2520 (/.f64 (pow.f64 x 7) (exp.f64 x))) (.f64 1/360 (/.f64 (pow.f64 x 6) (exp.f64 x))))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (.f64 1/60 (.f64 (pow.f64 eps 4) (pow.f64 x 5)))))) (.f64 (exp.f64 (neg.f64 x)) (.f64 x (+.f64 (.f64 (*.f64 eps eps) x) 2))))))
(+.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) (exp.f64 (-.f64 (.f64 eps x) x)))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(-.f64 (+.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) (+.f64 (/.f64 (exp.f64 (-.f64 (.f64 eps x) x)) eps) (exp.f64 (-.f64 (.f64 eps x) x)))) (/.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) eps))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (/.f64 (exp.f64 (-.f64 (.f64 x eps) x)) eps)) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps)))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 (/.f64 (exp.f64 (-.f64 (.f64 x eps) x)) eps) (-.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) eps) (-.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))))
(-.f64 (+.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) (+.f64 (/.f64 (exp.f64 (-.f64 (.f64 eps x) x)) eps) (exp.f64 (-.f64 (.f64 eps x) x)))) (/.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) eps))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (/.f64 (exp.f64 (-.f64 (.f64 x eps) x)) eps)) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps)))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 (/.f64 (exp.f64 (-.f64 (.f64 x eps) x)) eps) (-.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) eps) (-.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))))
(-.f64 (+.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) (+.f64 (/.f64 (exp.f64 (-.f64 (.f64 eps x) x)) eps) (exp.f64 (-.f64 (.f64 eps x) x)))) (/.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) eps))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (/.f64 (exp.f64 (-.f64 (.f64 x eps) x)) eps)) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps)))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 (/.f64 (exp.f64 (-.f64 (.f64 x eps) x)) eps) (-.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) eps) (-.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))))
(+.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) (exp.f64 (-.f64 (.f64 eps x) x)))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(-.f64 (+.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) (+.f64 (/.f64 (exp.f64 (-.f64 (.f64 eps x) x)) eps) (exp.f64 (-.f64 (.f64 eps x) x)))) (/.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) eps))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (/.f64 (exp.f64 (-.f64 (.f64 x eps) x)) eps)) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps)))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 (/.f64 (exp.f64 (-.f64 (.f64 x eps) x)) eps) (-.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) eps) (-.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))))
(-.f64 (+.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) (+.f64 (/.f64 (exp.f64 (-.f64 (.f64 eps x) x)) eps) (exp.f64 (-.f64 (.f64 eps x) x)))) (/.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) eps))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (/.f64 (exp.f64 (-.f64 (.f64 x eps) x)) eps)) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps)))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 (/.f64 (exp.f64 (-.f64 (.f64 x eps) x)) eps) (-.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) eps) (-.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))))
(-.f64 (+.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) (+.f64 (/.f64 (exp.f64 (-.f64 (.f64 eps x) x)) eps) (exp.f64 (-.f64 (.f64 eps x) x)))) (/.f64 (exp.f64 (neg.f64 (+.f64 (.f64 eps x) x))) eps))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (/.f64 (exp.f64 (-.f64 (.f64 x eps) x)) eps)) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps)))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 (/.f64 (exp.f64 (-.f64 (.f64 x eps) x)) eps) (-.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) eps) (-.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))))
2
(-.f64 (+.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) 2) (pow.f64 x 2))
(-.f64 (fma.f64 (.f64 eps eps) (.f64 x x) 2) (*.f64 x x))
(+.f64 2 (.f64 x (-.f64 (.f64 x (*.f64 eps eps)) x)))
(-.f64 (+.f64 (.f64 (pow.f64 eps 2) (pow.f64 x 2)) (+.f64 2 (.f64 2/3 (pow.f64 x 3)))) (+.f64 (pow.f64 x 2) (.f64 2/3 (.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
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1
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(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 x eps) x))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 x eps) x))
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(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 x eps) x))
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(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 x eps) x))
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(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 x eps) x))
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(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 x eps) x))
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(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 x eps) x))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 x eps) x))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
1
(-.f64 (+.f64 (*.f64 eps x) 1) x)
(-.f64 (fma.f64 eps x 1) x)
(-.f64 (fma.f64 x eps 1) x)
(fma.f64 x eps (-.f64 1 x))
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 eps x) (+.f64 1 (.f64 1/2 (pow.f64 x 2))))) (+.f64 (*.f64 eps (pow.f64 x 2)) x))
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(-.f64 (+.f64 (fma.f64 x eps (fma.f64 (.f64 x x) 1/2 1)) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 eps eps) 1/2) eps))) x)
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(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 x eps) x))
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(exp.f64 (-.f64 (*.f64 eps x) x))
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(exp.f64 (-.f64 (*.f64 eps x) x))
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(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 x eps) x))
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(exp.f64 (-.f64 (*.f64 x eps) x))
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(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 x eps) x))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 x eps) x))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(/.f64 (exp.f64 (neg.f64 x)) eps)
(+.f64 (*.f64 x (exp.f64 (neg.f64 x))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x))))
(fma.f64 x (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps)))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (.f64 eps (.f64 x (exp.f64 (neg.f64 x)))) (+.f64 (.f64 1/2 (.f64 eps (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (exp.f64 (neg.f64 x)) (.f64 (exp.f64 (neg.f64 x)) x)))))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (fma.f64 eps (.f64 x (exp.f64 (neg.f64 x))) (fma.f64 1/2 (.f64 eps (.f64 (exp.f64 (neg.f64 x)) (.f64 x x))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))))))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (fma.f64 (.f64 x (exp.f64 (neg.f64 x))) eps (fma.f64 1/2 (.f64 (.f64 x x) (.f64 (exp.f64 (neg.f64 x)) eps)) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (.f64 (/.f64 eps (exp.f64 x)) (+.f64 x (.f64 x (.f64 x 1/2))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 2) (exp.f64 (neg.f64 x))))) (+.f64 (.f64 1/2 (.f64 eps (.f64 (pow.f64 x 2) (exp.f64 (neg.f64 x))))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (.f64 eps (.f64 x (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 (exp.f64 (neg.f64 x)) x) (.f64 1/6 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x)))))))))))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 (exp.f64 (neg.f64 x)) (.f64 x x))) (fma.f64 1/2 (.f64 eps (.f64 (exp.f64 (neg.f64 x)) (.f64 x x))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (fma.f64 eps (.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))) (fma.f64 (exp.f64 (neg.f64 x)) x (.f64 (.f64 1/6 (.f64 eps eps)) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))))))))
(+.f64 (+.f64 (.f64 (.f64 x (.f64 x (exp.f64 (neg.f64 x)))) (+.f64 (.f64 (.f64 eps eps) 1/2) (.f64 eps 1/2))) (/.f64 (exp.f64 (neg.f64 x)) eps)) (+.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (.f64 (.f64 eps eps) (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) 1/6))) (*.f64 (fma.f64 x eps 1) (exp.f64 (neg.f64 x)))))
(+.f64 (+.f64 (.f64 (.f64 x (/.f64 x (exp.f64 x))) (.f64 eps (+.f64 1/2 (.f64 eps 1/2)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) (+.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (fma.f64 x eps 1) x)) (.f64 (.f64 eps eps) (.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) 1/6))))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 x eps) x))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(+.f64 (/.f64 (exp.f64 (-.f64 (.f64 eps x) x)) eps) (exp.f64 (-.f64 (.f64 eps x) x)))
(+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (/.f64 (exp.f64 (-.f64 (.f64 x eps) x)) eps))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) eps))
(+.f64 (/.f64 (exp.f64 (-.f64 (.f64 eps x) x)) eps) (exp.f64 (-.f64 (.f64 eps x) x)))
(+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (/.f64 (exp.f64 (-.f64 (.f64 x eps) x)) eps))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) eps))
(+.f64 (/.f64 (exp.f64 (-.f64 (.f64 eps x) x)) eps) (exp.f64 (-.f64 (.f64 eps x) x)))
(+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (/.f64 (exp.f64 (-.f64 (.f64 x eps) x)) eps))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) eps))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 x eps) x))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(+.f64 (/.f64 (exp.f64 (-.f64 (.f64 eps x) x)) eps) (exp.f64 (-.f64 (.f64 eps x) x)))
(+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (/.f64 (exp.f64 (-.f64 (.f64 x eps) x)) eps))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) eps))
(+.f64 (/.f64 (exp.f64 (-.f64 (.f64 eps x) x)) eps) (exp.f64 (-.f64 (.f64 eps x) x)))
(+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (/.f64 (exp.f64 (-.f64 (.f64 x eps) x)) eps))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) eps))
(+.f64 (/.f64 (exp.f64 (-.f64 (.f64 eps x) x)) eps) (exp.f64 (-.f64 (.f64 eps x) x)))
(+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (/.f64 (exp.f64 (-.f64 (.f64 x eps) x)) eps))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) eps))
(+.f64 1 (/.f64 1 eps))
(-.f64 (+.f64 (*.f64 eps x) (+.f64 1 (/.f64 1 eps))) (/.f64 x eps))
(-.f64 (+.f64 (fma.f64 eps x 1) (/.f64 1 eps)) (/.f64 x eps))
(fma.f64 x eps (-.f64 (+.f64 1 (/.f64 1 eps)) (/.f64 x eps)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 eps x) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) eps)) (/.f64 1 eps))))) (+.f64 (.f64 1/2 (.f64 eps (pow.f64 x 2))) (+.f64 (/.f64 x eps) (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 (fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 x x)) (+.f64 (fma.f64 eps x 1) (fma.f64 1/2 (/.f64 (.f64 x x) eps) (/.f64 1 eps)))) (fma.f64 1/2 (.f64 eps (.f64 x x)) (+.f64 (.f64 (.f64 x x) 1/2) (/.f64 x eps))))
(-.f64 (fma.f64 (.f64 x (.f64 x (.f64 eps eps))) 1/2 (+.f64 (fma.f64 x eps 1) (fma.f64 1/2 (/.f64 x (/.f64 eps x)) (/.f64 1 eps)))) (+.f64 (/.f64 x eps) (.f64 (.f64 x x) (+.f64 1/2 (.f64 eps 1/2)))))
(-.f64 (+.f64 (+.f64 (fma.f64 x eps 1) (fma.f64 1/2 (/.f64 x (/.f64 eps x)) (/.f64 1 eps))) (.f64 (.f64 x (.f64 x 1/2)) (-.f64 (.f64 eps eps) eps))) (fma.f64 (*.f64 x x) 1/2 (/.f64 x eps)))
(-.f64 (+.f64 1 (+.f64 (.f64 eps x) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (/.f64 1 eps) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 1/2 (/.f64 (pow.f64 x 2) eps)))))))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 x 3) eps)) (+.f64 (/.f64 x eps) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/2 (.f64 eps (pow.f64 x 2))) (.f64 1/3 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))))))
(+.f64 1 (-.f64 (fma.f64 eps x (fma.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 eps 3)) (+.f64 (/.f64 1 eps) (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2 (+.f64 (.f64 (.f64 eps eps) (.f64 x x)) (/.f64 (.f64 x x) eps))))))) (fma.f64 1/6 (/.f64 (pow.f64 x 3) eps) (+.f64 (/.f64 x eps) (fma.f64 1/2 (.f64 x x) (fma.f64 1/2 (.f64 eps (.f64 x x)) (.f64 (.f64 1/3 (.f64 eps eps)) (pow.f64 x 3))))))))
(-.f64 (+.f64 (+.f64 (fma.f64 x eps 1) (fma.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 eps 3)) (/.f64 1 eps))) (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2 (fma.f64 (.f64 eps eps) (.f64 x x) (/.f64 x (/.f64 eps x)))))) (+.f64 (+.f64 (.f64 (.f64 eps eps) (.f64 1/3 (pow.f64 x 3))) (.f64 (.f64 x x) (+.f64 1/2 (.f64 eps 1/2)))) (fma.f64 1/6 (/.f64 (pow.f64 x 3) eps) (/.f64 x eps))))
(+.f64 (fma.f64 x eps 1) (-.f64 (+.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2 (fma.f64 (.f64 eps eps) (.f64 x x) (/.f64 x (/.f64 eps x))))) (fma.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 eps 3)) (/.f64 1 eps))) (+.f64 (+.f64 (.f64 (.f64 eps eps) (.f64 1/3 (pow.f64 x 3))) (.f64 1/2 (*.f64 x (fma.f64 x eps x)))) (fma.f64 1/6 (/.f64 (pow.f64 x 3) eps) (/.f64 x eps)))))
(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (.f64 eps x) x)))
(.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (+.f64 1 (/.f64 1 eps)))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)))
(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (.f64 eps x) x)))
(.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (+.f64 1 (/.f64 1 eps)))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)))
(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (.f64 eps x) x)))
(.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (+.f64 1 (/.f64 1 eps)))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)))
(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (.f64 eps x) x)))
(.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (+.f64 1 (/.f64 1 eps)))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)))
(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (.f64 eps x) x)))
(.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (+.f64 1 (/.f64 1 eps)))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)))
(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (.f64 eps x) x)))
(.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (+.f64 1 (/.f64 1 eps)))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)))
(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (.f64 eps x) x)))
(.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (+.f64 1 (/.f64 1 eps)))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)))
(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (.f64 eps x) x)))
(.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (+.f64 1 (/.f64 1 eps)))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)))

prune179.0ms (4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	185	2	187
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	186	3	189

Error

0.1b

Counts

189 → 3

Alt Table

Status	Error	Program
	21.4b	(/.f64 (+.f64 2 (.f64 x (-.f64 (.f64 x (*.f64 eps eps)) x))) 2)
✓	28.2b	(/.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)
▶	1.1b	(/.f64 (+.f64 (.f64 2 (.f64 x (exp.f64 (neg.f64 x)))) (*.f64 2 (exp.f64 (neg.f64 x)))) 2)

Status

Error

Program

21.4b

(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 x (*.f64 eps eps)) x))) 2)

✓

28.2b

(/.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)

▶

1.1b

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

Compiler

Compiled 8113 to 5989 computations (26.2% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series7.0ms (0.1%)

Counts

2 → 21

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(+.f64 (.f64 2 (.f64 x (exp.f64 (neg.f64 x)))) (*.f64 2 (exp.f64 (neg.f64 x))))
1.0ms	x	@	-inf	(+.f64 (.f64 2 (.f64 x (exp.f64 (neg.f64 x)))) (*.f64 2 (exp.f64 (neg.f64 x))))
1.0ms	x	@	-inf	(*.f64 x (exp.f64 (neg.f64 x)))
1.0ms	x	@	inf	(*.f64 x (exp.f64 (neg.f64 x)))
1.0ms	x	@	0	(*.f64 x (exp.f64 (neg.f64 x)))

rewrite52.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

875×	`log1p-expm1-u_binary64`
875×	`expm1-log1p-u_binary64`
100×	`add-sqr-sqrt_binary64`
95×	`*-un-lft-identity_binary64`
95×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	196	18
2	2688	18

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (+.f64 x (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (exp.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (exp.f64 x) (+.f64 (.f64 x 2) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (pow.f64 (.f64 x (exp.f64 x)) 2) 4) (.f64 (exp.f64 x) (-.f64 (.f64 x 2) 2))) (/.f64 (.f64 4 (pow.f64 (exp.f64 x) 2)) (.f64 (exp.f64 x) (-.f64 (.f64 x 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 x) (+.f64 (.f64 x 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 x) (+.f64 2 (.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (exp.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (exp.f64 x) (+.f64 (.f64 x 2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (exp.f64 x) (+.f64 (.f64 x 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (exp.f64 x) (+.f64 (.f64 x 2) 2))) (pow.f64 (cbrt.f64 (.f64 (exp.f64 x) (+.f64 (.f64 x 2) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (exp.f64 x) (+.f64 (.f64 x 2) 2))) 2) (cbrt.f64 (.f64 (exp.f64 x) (+.f64 (.f64 x 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (exp.f64 x) (+.f64 (.f64 x 2) 2))) (sqrt.f64 (.f64 (exp.f64 x) (+.f64 (.f64 x 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (pow.f64 (.f64 x (exp.f64 x)) 3) 8) (.f64 8 (pow.f64 (exp.f64 x) 3))) (/.f64 1 (+.f64 (.f64 (pow.f64 (.f64 x (exp.f64 x)) 2) 4) (.f64 (.f64 (exp.f64 x) 2) (-.f64 (.f64 (exp.f64 x) 2) (.f64 x (.f64 (exp.f64 x) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (pow.f64 (.f64 x (exp.f64 x)) 2) 4) (.f64 4 (pow.f64 (exp.f64 x) 2))) (/.f64 1 (.f64 (exp.f64 x) (-.f64 (.f64 x 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (exp.f64 x) (+.f64 x 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 x (exp.f64 x)) 2) 4) (.f64 (.f64 (exp.f64 x) 2) (-.f64 (.f64 (exp.f64 x) 2) (.f64 x (.f64 (exp.f64 x) 2))))) (+.f64 (.f64 (pow.f64 (.f64 x (exp.f64 x)) 3) 8) (.f64 8 (pow.f64 (exp.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 (exp.f64 x) (-.f64 (.f64 x 2) 2)) (-.f64 (.f64 (pow.f64 (.f64 x (exp.f64 x)) 2) 4) (.f64 4 (pow.f64 (exp.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (pow.f64 (.f64 x (exp.f64 x)) 3) 8) (.f64 8 (pow.f64 (exp.f64 x) 3))) (+.f64 (.f64 (pow.f64 (.f64 x (exp.f64 x)) 2) 4) (.f64 (.f64 (exp.f64 x) 2) (-.f64 (.f64 (exp.f64 x) 2) (.f64 x (.f64 (exp.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (pow.f64 (.f64 x (exp.f64 x)) 3) 8) (.f64 8 (pow.f64 (exp.f64 x) 3))) (+.f64 (.f64 4 (pow.f64 (exp.f64 x) 2)) (-.f64 (.f64 (pow.f64 (.f64 x (exp.f64 x)) 2) 4) (.f64 (.f64 x (.f64 (exp.f64 x) 2)) (.f64 (exp.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (pow.f64 (.f64 x (exp.f64 x)) 2) 4) (.f64 4 (pow.f64 (exp.f64 x) 2))) (.f64 (exp.f64 x) (-.f64 (.f64 x 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (.f64 x (exp.f64 x)) 3) 8) (.f64 8 (pow.f64 (exp.f64 x) 3)))) (neg.f64 (+.f64 (.f64 (pow.f64 (.f64 x (exp.f64 x)) 2) 4) (.f64 (.f64 (exp.f64 x) 2) (-.f64 (.f64 (exp.f64 x) 2) (.f64 x (.f64 (exp.f64 x) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 x (exp.f64 x)) 2) 4) (.f64 4 (pow.f64 (exp.f64 x) 2)))) (neg.f64 (.f64 (exp.f64 x) (-.f64 (.f64 x 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 4 (pow.f64 (exp.f64 x) 2)) (.f64 (pow.f64 (.f64 x (exp.f64 x)) 2) 4)) (-.f64 (.f64 (exp.f64 x) 2) (.f64 x (.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (exp.f64 x) (+.f64 (.f64 x 2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (exp.f64 x) (+.f64 (.f64 x 2) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (exp.f64 x) (+.f64 (.f64 x 2) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (exp.f64 x) (+.f64 (.f64 x 2) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (exp.f64 x) (+.f64 (.f64 x 2) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (.f64 (exp.f64 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (exp.f64 x) (+.f64 (.f64 x 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (exp.f64 x) (+.f64 (.f64 x 2) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 x) 2 (.f64 x (.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (exp.f64 x)) 2 (.f64 (exp.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (exp.f64 x) (.f64 x (.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (.f64 x (exp.f64 x)) (.f64 (exp.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x (.f64 (exp.f64 x) 2)) (.f64 (exp.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (exp.f64 x) 2) (.f64 x (.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 (exp.f64 x) 2)) 2) (cbrt.f64 (.f64 (exp.f64 x) 2)) (.f64 x (.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 (exp.f64 x) 2))) 2) (cbrt.f64 (.f64 x (.f64 (exp.f64 x) 2))) (.f64 (exp.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (exp.f64 x) 2)) (sqrt.f64 (.f64 (exp.f64 x) 2)) (.f64 x (.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x (.f64 (exp.f64 x) 2))) (sqrt.f64 (.f64 x (.f64 (exp.f64 x) 2))) (.f64 (exp.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 2) (exp.f64 x) (.f64 (exp.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (exp.f64 x) (+.f64 (.f64 x 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (exp.f64 x) (+.f64 (.f64 x 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (exp.f64 x) (+.f64 (.f64 x 2) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (exp.f64 x) (+.f64 (.f64 x 2) 2))))))))

Outputs

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

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

simplify33.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

435×	`distribute-rgt-neg-in_binary64`
431×	`fma-def_binary64`
386×	`associate-l_binary64`
365×	`associate-r_binary64`
276×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	230
1	102	210
2	275	188
3	932	174
4	3871	174

Stop Event

1×	node limit

Counts

81 → 81

Calls

Call 1

Inputs
x
(-.f64 x (pow.f64 x 2))
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 3)) x) (pow.f64 x 2))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 3)) x) (+.f64 (.f64 1/6 (pow.f64 x 4)) (pow.f64 x 2)))
(*.f64 (exp.f64 (neg.f64 x)) x)
(*.f64 (exp.f64 (neg.f64 x)) x)
(*.f64 (exp.f64 (neg.f64 x)) x)
(*.f64 (exp.f64 (neg.f64 x)) x)
(.f64 (exp.f64 (.f64 -1 x)) x)
(.f64 (exp.f64 (.f64 -1 x)) x)
(.f64 (exp.f64 (.f64 -1 x)) x)
(.f64 (exp.f64 (.f64 -1 x)) x)
2
(-.f64 2 (pow.f64 x 2))
(-.f64 (+.f64 2 (*.f64 2/3 (pow.f64 x 3))) (pow.f64 x 2))
(-.f64 (+.f64 2 (.f64 2/3 (pow.f64 x 3))) (+.f64 (.f64 1/4 (pow.f64 x 4)) (pow.f64 x 2)))
(.f64 2 (.f64 x (exp.f64 (neg.f64 x))))
(.f64 2 (.f64 (exp.f64 (*.f64 -1 x)) x))
(+.f64 (.f64 2 (exp.f64 (.f64 -1 x))) (.f64 2 (.f64 (exp.f64 (*.f64 -1 x)) x)))
(+.f64 (.f64 2 (exp.f64 (.f64 -1 x))) (.f64 2 (.f64 (exp.f64 (*.f64 -1 x)) x)))
(+.f64 (.f64 2 (exp.f64 (.f64 -1 x))) (.f64 2 (.f64 (exp.f64 (*.f64 -1 x)) x)))

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

prune58.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	81	3	84

Error

0.1b

Counts

84 → 3

Alt Table

Status

Error

Program

▶

1.1b

(/.f64 (/.f64 (fma.f64 x 2 2) (exp.f64 x)) 2)

✓

28.2b

(/.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)

✓

1.1b

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

Compiler

Compiled 1502 to 1007 computations (33% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/.f64 (fma.f64 x 2 2) (exp.f64 x))
2.0ms	x	@	-inf	(/.f64 (fma.f64 x 2 2) (exp.f64 x))
1.0ms	x	@	0	(/.f64 (fma.f64 x 2 2) (exp.f64 x))

rewrite38.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

629×	`pow1_binary64`
584×	`add-log-exp_binary64`
584×	`log1p-expm1-u_binary64`
584×	`expm1-log1p-u_binary64`
62×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	123	10
2	1538	10

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify24.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

884×	`fma-neg_binary64`
767×	`cancel-sign-sub-inv_binary64`
218×	`distribute-rgt-neg-in_binary64`
199×	`distribute-lft-neg-in_binary64`
179×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	161
1	67	151
2	160	151
3	490	147
4	1805	129

Stop Event

1×	node limit

Counts

44 → 42

Calls

Call 1

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

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

prune30.0ms (0.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	42	3	45

Error

0.1b

Counts

45 → 3

Alt Table

Status

Error

Program

✓

1.1b

(/.f64 (/.f64 (fma.f64 x 2 2) (exp.f64 x)) 2)

✓

28.2b

(/.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)

✓

1.1b

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

Compiler

Compiled 641 to 466 computations (27.3% saved)

regimes135.0ms (3%)

Accuracy

Total 0.9b remaining (97.8%)

Threshold costs 0.9b (97.8%)

Counts

29 → 1

Compiler

Compiled 2340 to 1868 computations (20.2% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64`
5×	`*-commutative_binary64`
5×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	23	25
2	37	25
3	45	25
4	49	25
5	50	25

Stop Event

1×

saturated

Calls

Call 1

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

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

end62.0ms (1.4%)

Stop Event

1×

done

Compiler

Compiled 95 to 68 computations (28.4% saved)

Details

analyze361.0ms (8.1%)

sample3.2s (71.8%)

preprocess41.0ms (0.9%)

simplify24.0ms (0.5%)

prune5.0ms (0.1%)

localize18.0ms (0.4%)

series57.0ms (1.3%)

rewrite56.0ms (1.2%)

simplify57.0ms (1.3%)

prune179.0ms (4%)

localize11.0ms (0.2%)

series7.0ms (0.1%)

rewrite52.0ms (1.2%)

simplify33.0ms (0.7%)

prune58.0ms (1.3%)

localize5.0ms (0.1%)

series5.0ms (0.1%)

rewrite38.0ms (0.8%)

simplify24.0ms (0.5%)

prune30.0ms (0.7%)

regimes135.0ms (3%)

simplify3.0ms (0.1%)

end62.0ms (1.4%)

Profiling