Details

analyze360.0ms (7.5%)

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)

sample3.3s (69.3%)

Results

1.4s	2014×	body	1024	valid
775.0ms	4361×	body	128	valid
551.0ms	1086×	body	512	valid
267.0ms	244×	body	2048	valid
184.0ms	551×	body	256	valid
72.0ms	406×	body	128	invalid
17.0ms	24×	body	1024	invalid
3.0ms	9×	body	256	invalid
3.0ms	6×	body	512	invalid

Compiler

Compiled 64 to 52 computations (18.8% saved)

preprocess34.0ms (0.7%)

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)

simplify19.0ms (0.4%)

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)))))

prune9.0ms (0.2%)

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

29.1b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	29.1b	(/.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)
	29.8b	(*.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

▶

29.1b

(/.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)

29.8b

(*.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 (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))
✓	0.0b	(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
✓	0.0b	(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
✓	4.1b	(-.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)))))

series19.0ms (0.4%)

Counts

4 → 84

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	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)))))
3.0ms	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	x	@	0	(exp.f64 (neg.f64 (*.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)))))

rewrite55.0ms (1.1%)

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	73

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

simplify62.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

452×	`cancel-sign-sub-inv_binary64`
244×	`fma-def_binary64`
232×	`fma-neg_binary64`
208×	`associate-r_binary64`
167×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	226	2664
1	784	2379
2	2817	2195

Stop Event

1×	node limit

Counts

204 → 201

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

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

prune210.0ms (4.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	199	2	201
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	200	3	203

Error

0.0b

Counts

203 → 3

Alt Table

Status	Error	Program
✓	29.1b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))) 2)
	0.6b	(/.f64 (.f64 2 (.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))) 2)
▶	0.6b	(/.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)

Status

Error

Program

✓

29.1b

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

0.6b

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

▶

0.6b

(/.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 8744 to 6505 computations (25.6% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series6.0ms (0.1%)

Counts

3 → 26

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	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)) x)
0.0ms	x	@	-inf	(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))

rewrite49.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

675×	`log1p-expm1-u_binary64`
675×	`expm1-log1p-u_binary64`
112×	`add-sqr-sqrt_binary64`
109×	`*-un-lft-identity_binary64`
109×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	220	24
2	3456	24

Stop Event

1×	node limit

Counts

3 → 132

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

Outputs

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

simplify32.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

915×	`fma-neg_binary64`
863×	`fma-def_binary64`
471×	`associate-l_binary64`
345×	`associate-r_binary64`
137×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	303
1	141	277
2	337	254
3	1146	225
4	4244	225

Stop Event

1×	node limit

Counts

158 → 104

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

Outputs
-1
(-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)
(fma.f64 1/2 (*.f64 x x) -1)
(fma.f64 x (*.f64 1/2 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 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 x (*.f64 x (fma.f64 x -1/3 1/2)) (fma.f64 1/8 (pow.f64 x 4) -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)
(+.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 (pow.f64 x 3) 1/3 (.f64 (.f64 x x) -1/2)))
(fma.f64 (pow.f64 x 3) 1/3 (fma.f64 (*.f64 x x) -1/2 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 (fma.f64 (.f64 x x) -1/2 1) (fma.f64 (pow.f64 x 3) 1/3 (.f64 (pow.f64 x 4) -1/8)))
(+.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x 1/3))) (fma.f64 (pow.f64 x 4) -1/8 1))
(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))
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(*.f64 x (-.f64 1 x))
(+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 2)) x))
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) x))
(fma.f64 1/2 (pow.f64 x 3) (-.f64 x (*.f64 x x)))
(-.f64 (fma.f64 1/2 (pow.f64 x 3) x) (*.f64 x x))
(fma.f64 x (*.f64 x (fma.f64 1/2 x -1)) x)
(+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) x)))
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) (fma.f64 -1/6 (pow.f64 x 4) x)))
(fma.f64 1/2 (pow.f64 x 3) (-.f64 (fma.f64 (pow.f64 x 4) -1/6 x) (*.f64 x x)))
(fma.f64 (pow.f64 x 4) -1/6 (fma.f64 x (*.f64 x (fma.f64 1/2 x -1)) 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))

prune90.0ms (1.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	126	3	129

Error

0.0b

Counts

129 → 3

Alt Table

Status

Error

Program

17.8b

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

✓

29.1b

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

▶

0.6b

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

Compiler

Compiled 3332 to 1465 computations (56% 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))

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite32.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`pow1_binary64`
573×	`add-log-exp_binary64`
571×	`log1p-expm1-u_binary64`
571×	`expm1-log1p-u_binary64`
73×	`add-sqr-sqrt_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 → 25

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

simplify34.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

883×	`fma-def_binary64`
376×	`*-commutative_binary64`
276×	`distribute-lft-out_binary64`
237×	`unswap-sqr_binary64`
199×	`associate-l_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

Stop Event

1×	node limit

Counts

37 → 38

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))

prune34.0ms (0.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	38	3	41

Error

0.0b

Counts

41 → 3

Alt Table

Status

Error

Program

▶

17.8b

(/.f64 (*.f64 2 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 1)) 2)

✓

29.1b

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

✓

0.6b

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

Compiler

Compiled 584 to 410 computations (29.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x (fma.f64 x -1/8 1/3) -1/2)
✓	0.0b	(fma.f64 x -1/8 1/3)
✓	0.0b	(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 1)
✓	0.0b	(*.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2))

series6.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2))
1.0ms	x	@	0	(*.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2))
1.0ms	x	@	inf	(*.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2))
0.0ms	x	@	inf	(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 1)
0.0ms	x	@	-inf	(fma.f64 x (fma.f64 x -1/8 1/3) -1/2)

rewrite56.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

855×	`pow1_binary64`
793×	`log1p-expm1-u_binary64`
793×	`expm1-log1p-u_binary64`
91×	`add-sqr-sqrt_binary64`
86×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	194	42
2	2072	42

Stop Event

1×	node limit

Counts

4 → 86

Calls

Call 1

Inputs
(*.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2))
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 1)
(fma.f64 x -1/8 1/3)
(fma.f64 x (fma.f64 x -1/8 1/3) -1/2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x (fma.f64 x -1/8 1/3)) x) (.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x (fma.f64 x -1/8 1/3))) (.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (fma.f64 x -1/8 1/3) -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 x (fma.f64 x -1/8 1/3) -1/2) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (.f64 x x) (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x x) (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 1)) 2) (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 1)) (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 3) 1) (+.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) (.f64 (.f64 x x) (fma.f64 x (fma.f64 x -1/8 1/3) -1/2))) (-.f64 1 (.f64 (.f64 (.f64 x x) (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) (.f64 (.f64 x x) (fma.f64 x (fma.f64 x -1/8 1/3) -1/2))) 1) (-.f64 (.f64 (.f64 x x) (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/3 (.f64 x -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x -1/8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x -1/8) 1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x -1/8 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x -1/8 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x -1/8 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x -1/8 1/3)) (cbrt.f64 (pow.f64 (fma.f64 x -1/8 1/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/8 1/3) 2)) (cbrt.f64 (fma.f64 x -1/8 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x -1/8 1/3)) (sqrt.f64 (fma.f64 x -1/8 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x -1/8) 3) 1/27) (+.f64 (.f64 (.f64 x -1/8) (.f64 x -1/8)) (-.f64 1/9 (.f64 (.f64 x -1/8) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x -1/8) (.f64 x -1/8)) 1/9) (-.f64 (.f64 x -1/8) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -1/8 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -1/8 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -1/8 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -1/8 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -1/8 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -1/8 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -1/8 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -1/8 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -1/8 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -1/8 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x -1/8 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -1/8 1/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (.f64 x (fma.f64 x -1/8 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (fma.f64 x -1/8 1/3)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x (fma.f64 x -1/8 1/3)) 1) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x -1/8 1/3) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (fma.f64 x -1/8 1/3) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x (fma.f64 x -1/8 1/3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) (sqrt.f64 (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/8 1/3)) 3) -1/8) (+.f64 (.f64 (.f64 x (fma.f64 x -1/8 1/3)) (.f64 x (fma.f64 x -1/8 1/3))) (-.f64 1/4 (.f64 (.f64 x (fma.f64 x -1/8 1/3)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x (fma.f64 x -1/8 1/3)) (.f64 x (fma.f64 x -1/8 1/3))) 1/4) (-.f64 (.f64 x (fma.f64 x -1/8 1/3)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (fma.f64 x -1/8 1/3) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 x -1/8 1/3) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x -1/8 1/3) -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x -1/8 1/3) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x -1/8 1/3) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)))))))

simplify43.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

803×	`unswap-sqr_binary64`
786×	`fma-def_binary64`
292×	`*-commutative_binary64`
195×	`associate-l_binary64`
148×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	529
1	99	515
2	203	458
3	462	405
4	1217	399
5	2761	399
6	4601	399

Stop Event

1×	node limit

Counts

134 → 121

Calls

Call 1

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

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

prune101.0ms (2.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	121	3	124

Error

0.0b

Counts

124 → 3

Alt Table

Status

Error

Program

✓

17.8b

(/.f64 (*.f64 2 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 1)) 2)

✓

29.1b

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

✓

0.6b

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

Compiler

Compiled 2410 to 1879 computations (22% saved)

regimes125.0ms (2.6%)

Accuracy

Total 0.6b remaining (96.3%)

Threshold costs 0.6b (96.3%)

Counts

73 → 1

Compiler

Compiled 1514 to 982 computations (35.1% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	13	15

Stop Event

1×

saturated

Calls

Call 1

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

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

end63.0ms (1.3%)

Stop Event

1×

done

Compiler

Compiled 86 to 70 computations (18.6% saved)

Details

analyze360.0ms (7.5%)

sample3.3s (69.3%)

preprocess34.0ms (0.7%)

simplify19.0ms (0.4%)

prune9.0ms (0.2%)

localize16.0ms (0.3%)

series19.0ms (0.4%)

rewrite55.0ms (1.1%)

simplify62.0ms (1.3%)

prune210.0ms (4.4%)

localize10.0ms (0.2%)

series6.0ms (0.1%)

rewrite49.0ms (1%)

simplify32.0ms (0.7%)

prune90.0ms (1.9%)

localize6.0ms (0.1%)

series2.0ms (0%)

rewrite32.0ms (0.7%)

simplify34.0ms (0.7%)

prune34.0ms (0.7%)

localize9.0ms (0.2%)

series6.0ms (0.1%)

rewrite56.0ms (1.2%)

simplify43.0ms (0.9%)

prune101.0ms (2.1%)

regimes125.0ms (2.6%)

simplify2.0ms (0%)

end63.0ms (1.3%)

Profiling