Details

analyze387.0ms (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)

sample3.2s (62.7%)

Results

1.5s	2050×	body	1024	valid
772.0ms	4381×	body	128	valid
511.0ms	1068×	body	512	valid
224.0ms	212×	body	2048	valid
160.0ms	545×	body	256	valid
70.0ms	438×	body	128	invalid
22.0ms	24×	body	1024	invalid
5.0ms	8×	body	512	invalid
1.0ms	4×	body	256	invalid

Compiler

Compiled 64 to 52 computations (18.8% saved)

preprocess39.0ms (0.8%)

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)))))

prune6.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

30.3b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	30.3b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))) 2)
	31.5b	(*.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

▶

30.3b

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

31.5b

(*.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)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 1 eps) x)
✓	0.1b	(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
✓	0.1b	(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
✓	2.4b	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))

series19.0ms (0.4%)

Counts

4 → 84

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	eps	@	0	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))
3.0ms	x	@	0	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))
1.0ms	eps	@	inf	(*.f64 (-.f64 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)))))
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)))))

rewrite51.0ms (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	71
1	412	62

Stop Event

1×	node limit

Counts

4 → 124

Calls

Call 1

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

simplify47.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

542×	`associate--l+_binary64`
344×	`associate--r+_binary64`
301×	`cancel-sign-sub-inv_binary64`
260×	`fma-def_binary64`
189×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	169	1994
1	581	1946
2	2212	1851

Stop Event

1×	node limit

Counts

208 → 178

Calls

Call 1

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

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

prune191.0ms (3.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	174	4	178
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	176	4	180

Error

0.0b

Counts

180 → 4

Alt Table

Status	Error	Program
	30.3b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (exp.f64 -1) (.f64 x (+.f64 1 eps))))) 2)
▶	15.5b	(/.f64 (+.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 x (+.f64 (.f64 (.f64 eps eps) x) 2)) 2)) (.f64 (.f64 eps eps) (/.f64 (*.f64 (pow.f64 x 3) 1/3) (exp.f64 x)))) 2)
	30.3b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 -1) (.f64 (-.f64 1 eps) x))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))) 2)
	19.7b	(/.f64 (-.f64 (fma.f64 (.f64 eps eps) (.f64 x x) (fma.f64 (pow.f64 x 3) 2/3 2)) (fma.f64 x x (.f64 (.f64 eps eps) (*.f64 (pow.f64 x 3) 2/3)))) 2)

Compiler

Compiled 7800 to 5876 computations (24.7% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.5b	(.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 x (+.f64 (.f64 (.f64 eps eps) x) 2)) 2))
✓	6.2b	(.f64 (.f64 eps eps) (/.f64 (*.f64 (pow.f64 x 3) 1/3) (exp.f64 x)))
✓	6.8b	(.f64 (.f64 eps eps) x)
✓	10.8b	(/.f64 (*.f64 (pow.f64 x 3) 1/3) (exp.f64 x))

series20.0ms (0.4%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 x (+.f64 (.f64 (.f64 eps eps) x) 2)) 2))
1.0ms	eps	@	0	(.f64 (.f64 eps eps) (/.f64 (*.f64 (pow.f64 x 3) 1/3) (exp.f64 x)))
1.0ms	x	@	inf	(/.f64 (*.f64 (pow.f64 x 3) 1/3) (exp.f64 x))
1.0ms	x	@	inf	(.f64 (.f64 eps eps) (/.f64 (*.f64 (pow.f64 x 3) 1/3) (exp.f64 x)))
1.0ms	eps	@	inf	(.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 x (+.f64 (.f64 (.f64 eps eps) x) 2)) 2))

rewrite38.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

212×	`add-sqr-sqrt_binary64`
204×	`pow1_binary64`
203×	`*-un-lft-identity_binary64`
200×	`add-log-exp_binary64`
198×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	56
1	429	54

Stop Event

1×	node limit

Counts

4 → 105

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 3) (/.f64 1 (.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 x 3) 1/3) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 x 3) 1/3) (/.f64 1 (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 x) (.f64 (pow.f64 x 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 x (cbrt.f64 (.f64 (exp.f64 x) 3))) 2) (/.f64 x (cbrt.f64 (.f64 (exp.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 x 3/2) (sqrt.f64 (.f64 (exp.f64 x) 3))) (/.f64 (pow.f64 x 3/2) (sqrt.f64 (.f64 (exp.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (exp.f64 x)) (/.f64 (.f64 (pow.f64 x 3) 1/3) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 x 3) 1) (/.f64 1/3 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (.f64 x (cbrt.f64 1/3)) 2) 1) (/.f64 (.f64 x (cbrt.f64 1/3)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) 1) (/.f64 (.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 1/3 (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/3 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (pow.f64 x 3) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (.f64 (pow.f64 x 3) 1/3) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (.f64 x (cbrt.f64 1/3)) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 x (cbrt.f64 (.f64 (exp.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 x 3) (sqrt.f64 (exp.f64 x))) (/.f64 1/3 (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/3 (sqrt.f64 (exp.f64 x))) (/.f64 (pow.f64 x 3) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (.f64 x (cbrt.f64 1/3)) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (.f64 x (cbrt.f64 1/3)) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (cbrt.f64 (.f64 (exp.f64 x) 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3/2) (sqrt.f64 (.f64 (exp.f64 x) 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 3 (/.f64 (exp.f64 x) (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 1/9 (pow.f64 x 6)) (pow.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 1/3) (pow.f64 x 3)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x 3) 1/3) 3) (pow.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 x 3) 1/3) 3) (pow.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (.f64 (pow.f64 x 3) 1/3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (+.f64 (log.f64 (*.f64 (pow.f64 x 3) 1/3)) x) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 eps eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 eps eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (.f64 eps eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 eps (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (.f64 eps eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 x x) (pow.f64 eps 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (.f64 eps eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (*.f64 eps eps))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x))) (.f64 eps eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 eps eps) (.f64 3 (/.f64 (exp.f64 x) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 x) (.f64 (.f64 eps eps) (.f64 (pow.f64 x 3) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 eps eps) (.f64 (pow.f64 x 3) 1/3)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (.f64 eps eps) (.f64 (pow.f64 x 3) 1/3))) (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (.f64 eps eps) (.f64 (pow.f64 x 3) 1/3)) 1) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (.f64 eps eps) (.f64 (pow.f64 x 3) 1/3)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (.f64 eps eps) (.f64 (pow.f64 x 3) 1/3)) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x))) (.f64 eps eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x))) (.f64 eps eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 x (cbrt.f64 (.f64 (exp.f64 x) 3))) (pow.f64 (cbrt.f64 eps) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 eps (/.f64 (pow.f64 x 3/2) (sqrt.f64 (.f64 (exp.f64 x) 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 (.f64 1/9 (pow.f64 x 6)) (pow.f64 (exp.f64 x) 2)) (pow.f64 eps 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 eps) eps) (.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x))) (.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x))) (.f64 eps eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x))) 3) (pow.f64 (.f64 eps eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 eps eps) 3) (pow.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x))) (.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x))) (.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (.f64 (.f64 eps eps) (.f64 (pow.f64 x 3) 1/3))) x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (-.f64 (log.f64 (.f64 (.f64 eps eps) (.f64 (pow.f64 x 3) 1/3))) x) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x (fma.f64 eps (.f64 eps x) 2)) (exp.f64 x)) (.f64 2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (exp.f64 x)) (.f64 (.f64 x (fma.f64 eps (.f64 eps x) 2)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (exp.f64 x) (.f64 x (fma.f64 eps (.f64 eps x) 2))) (.f64 (exp.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (exp.f64 x) 2) (.f64 (exp.f64 x) (.f64 x (fma.f64 eps (.f64 eps x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (.f64 x (fma.f64 eps (.f64 eps x) 2)) (exp.f64 x)) 1) (.f64 (.f64 2 (exp.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (exp.f64 x) (.f64 x (fma.f64 eps (.f64 eps x) 2))) 1) (.f64 (.f64 (exp.f64 x) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (exp.f64 x) (fma.f64 x (fma.f64 eps (.f64 eps x) 2) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (fma.f64 eps (.f64 eps x) 2) 2) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 eps (.f64 eps x) 2)) 3) 8) (.f64 (exp.f64 x) (+.f64 (pow.f64 (.f64 x (fma.f64 eps (.f64 eps x) 2)) 2) (-.f64 4 (.f64 (.f64 x (fma.f64 eps (.f64 eps x) 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 eps (.f64 eps x) 2)) 2) -4) (.f64 (exp.f64 x) (fma.f64 x (fma.f64 eps (.f64 eps x) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 eps (.f64 eps x) 2)) 3) 8) 1) (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 eps (.f64 eps x) 2)) 2) (-.f64 4 (.f64 (.f64 x (fma.f64 eps (.f64 eps x) 2)) 2))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 eps (.f64 eps x) 2)) 2) -4) 1) (.f64 (fma.f64 x (fma.f64 eps (.f64 eps x) 2) -2) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (.f64 x (fma.f64 eps (.f64 eps x) 2)) (exp.f64 x)) 3) (pow.f64 (.f64 2 (exp.f64 x)) 3)) (+.f64 (.f64 (.f64 (.f64 x (fma.f64 eps (.f64 eps x) 2)) (exp.f64 x)) (.f64 (.f64 x (fma.f64 eps (.f64 eps x) 2)) (exp.f64 x))) (-.f64 (.f64 (.f64 2 (exp.f64 x)) (.f64 2 (exp.f64 x))) (.f64 (.f64 (.f64 x (fma.f64 eps (.f64 eps x) 2)) (exp.f64 x)) (.f64 2 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (exp.f64 x) (.f64 x (fma.f64 eps (.f64 eps x) 2))) 3) (pow.f64 (.f64 (exp.f64 x) 2) 3)) (+.f64 (.f64 (.f64 (exp.f64 x) (.f64 x (fma.f64 eps (.f64 eps x) 2))) (.f64 (exp.f64 x) (.f64 x (fma.f64 eps (.f64 eps x) 2)))) (-.f64 (.f64 (.f64 (exp.f64 x) 2) (.f64 (exp.f64 x) 2)) (.f64 (.f64 (exp.f64 x) (.f64 x (fma.f64 eps (.f64 eps x) 2))) (.f64 (exp.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 (.f64 x (fma.f64 eps (.f64 eps x) 2)) (exp.f64 x)) (.f64 (.f64 x (fma.f64 eps (.f64 eps x) 2)) (exp.f64 x))) (.f64 (.f64 2 (exp.f64 x)) (.f64 2 (exp.f64 x)))) (-.f64 (.f64 (.f64 x (fma.f64 eps (.f64 eps x) 2)) (exp.f64 x)) (.f64 2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 (exp.f64 x) (.f64 x (fma.f64 eps (.f64 eps x) 2))) (.f64 (exp.f64 x) (.f64 x (fma.f64 eps (.f64 eps x) 2)))) (.f64 (.f64 (exp.f64 x) 2) (.f64 (exp.f64 x) 2))) (-.f64 (.f64 (exp.f64 x) (.f64 x (fma.f64 eps (.f64 eps x) 2))) (.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (exp.f64 x) (fma.f64 x (fma.f64 eps (.f64 eps x) 2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (exp.f64 x) (fma.f64 x (fma.f64 eps (.f64 eps x) 2) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (exp.f64 x) (fma.f64 x (fma.f64 eps (.f64 eps x) 2) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (exp.f64 x) (fma.f64 x (fma.f64 eps (.f64 eps x) 2) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (exp.f64 x) (fma.f64 x (fma.f64 eps (.f64 eps x) 2) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 eps (.f64 eps x) 2) 2)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (exp.f64 x) (fma.f64 x (fma.f64 eps (.f64 eps x) 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (exp.f64 x) (fma.f64 x (fma.f64 eps (.f64 eps x) 2) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (fma.f64 x (fma.f64 eps (.f64 eps x) 2) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 x (fma.f64 eps (.f64 eps x) 2) 2) 3) (pow.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (exp.f64 x) (fma.f64 x (fma.f64 eps (.f64 eps x) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (exp.f64 x) (fma.f64 x (fma.f64 eps (.f64 eps x) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 x) (.f64 x (fma.f64 eps (.f64 eps x) 2)) (.f64 (exp.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (fma.f64 eps (.f64 eps x) 2)) (exp.f64 x) (.f64 2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 x (log.f64 (fma.f64 x (fma.f64 eps (.f64 eps x) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (+.f64 x (log.f64 (fma.f64 x (fma.f64 eps (*.f64 eps x) 2) 2))) 1))))))

simplify52.0ms (1%)

Algorithm

1×	egg-herbie

Rules

528×	`unswap-sqr_binary64`
512×	`fma-def_binary64`
332×	`associate-l_binary64`
325×	`associate-r_binary64`
256×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	1535
1	285	1389
2	881	1311
3	4139	1307

Stop Event

1×	node limit

Counts

189 → 144

Calls

Call 1

Inputs
(*.f64 1/3 (pow.f64 x 3))
(-.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/3 (pow.f64 x 4)))
(-.f64 (+.f64 (.f64 1/6 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3))) (*.f64 1/3 (pow.f64 x 4)))
(-.f64 (+.f64 (.f64 1/6 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3))) (+.f64 (.f64 1/3 (pow.f64 x 4)) (.f64 1/18 (pow.f64 x 6))))
(*.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x)))
(*.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x)))
(*.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x)))
(*.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x)))
(*.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x)))
(*.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x)))
(*.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x)))
(*.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x)))
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(.f64 1/3 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x)))
(.f64 1/3 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x)))
(.f64 1/3 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x)))
(.f64 1/3 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x)))
(.f64 1/3 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x)))
(.f64 1/3 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x)))
(.f64 1/3 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x)))
(.f64 1/3 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x)))
(.f64 1/3 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x)))
(.f64 1/3 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x)))
(.f64 1/3 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x)))
(.f64 1/3 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x)))
(.f64 1/3 (.f64 (pow.f64 eps 2) (pow.f64 x 3)))
(-.f64 (.f64 1/3 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/3 (.f64 (pow.f64 eps 2) (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (.f64 1/3 (.f64 (pow.f64 eps 2) (pow.f64 x 3)))) (.f64 1/3 (.f64 (pow.f64 eps 2) (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (.f64 1/3 (.f64 (pow.f64 eps 2) (pow.f64 x 3)))) (+.f64 (.f64 1/18 (.f64 (pow.f64 eps 2) (pow.f64 x 6))) (.f64 1/3 (.f64 (pow.f64 eps 2) (pow.f64 x 4)))))
(.f64 1/3 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x)))
(.f64 1/3 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x)))
(.f64 1/3 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x)))
(.f64 1/3 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x)))
(.f64 1/3 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x)))
(.f64 1/3 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x)))
(.f64 1/3 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x)))
(.f64 1/3 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x)))
2
(-.f64 (+.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) 2) (pow.f64 x 2))
(-.f64 (+.f64 (.f64 (pow.f64 eps 2) (pow.f64 x 2)) (+.f64 2 (.f64 2/3 (pow.f64 x 3)))) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 (pow.f64 eps 2) (pow.f64 x 2)) (+.f64 2 (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 4))) (.f64 2/3 (pow.f64 x 3))))) (+.f64 (.f64 1/4 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 2) (exp.f64 (neg.f64 x))))
(+.f64 (.f64 2 (.f64 x (exp.f64 (neg.f64 x)))) (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 2) (exp.f64 (neg.f64 x)))))
(+.f64 (.f64 2 (.f64 x (exp.f64 (neg.f64 x)))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 2) (exp.f64 (neg.f64 x)))) (*.f64 2 (exp.f64 (neg.f64 x)))))
(+.f64 (.f64 2 (.f64 x (exp.f64 (neg.f64 x)))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 2) (exp.f64 (neg.f64 x)))) (*.f64 2 (exp.f64 (neg.f64 x)))))
(.f64 (exp.f64 (.f64 -1 x)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 2 (.f64 (exp.f64 (.f64 -1 x)) x)))
(+.f64 (.f64 2 (exp.f64 (.f64 -1 x))) (+.f64 (.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 2 (.f64 (exp.f64 (.f64 -1 x)) x))))
(+.f64 (.f64 2 (exp.f64 (.f64 -1 x))) (+.f64 (.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 2 (.f64 (exp.f64 (.f64 -1 x)) x))))
(.f64 (+.f64 2 (.f64 2 x)) (exp.f64 (neg.f64 x)))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 2) (exp.f64 (neg.f64 x)))) (+.f64 (.f64 2 (.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 2 (exp.f64 (neg.f64 x)))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 2) (exp.f64 (neg.f64 x)))) (+.f64 (.f64 2 (.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 2 (exp.f64 (neg.f64 x)))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 2) (exp.f64 (neg.f64 x)))) (+.f64 (.f64 2 (.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 2 (exp.f64 (neg.f64 x)))))
(.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 2) (exp.f64 (neg.f64 x))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 2) (exp.f64 (neg.f64 x)))) (+.f64 (.f64 2 (exp.f64 (neg.f64 x))) (.f64 2 (*.f64 (exp.f64 (neg.f64 x)) x))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 2) (exp.f64 (neg.f64 x)))) (+.f64 (.f64 2 (exp.f64 (neg.f64 x))) (.f64 2 (*.f64 (exp.f64 (neg.f64 x)) x))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 2) (exp.f64 (neg.f64 x)))) (+.f64 (.f64 2 (exp.f64 (neg.f64 x))) (.f64 2 (*.f64 (exp.f64 (neg.f64 x)) x))))
(.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 2) (exp.f64 (neg.f64 x))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 2) (exp.f64 (neg.f64 x)))) (+.f64 (.f64 2 (exp.f64 (neg.f64 x))) (.f64 2 (*.f64 (exp.f64 (neg.f64 x)) x))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 2) (exp.f64 (neg.f64 x)))) (+.f64 (.f64 2 (exp.f64 (neg.f64 x))) (.f64 2 (*.f64 (exp.f64 (neg.f64 x)) x))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 2) (exp.f64 (neg.f64 x)))) (+.f64 (.f64 2 (exp.f64 (neg.f64 x))) (.f64 2 (*.f64 (exp.f64 (neg.f64 x)) x))))

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

prune161.0ms (3.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	143	1	144
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	144	4	148

Error

0.0b

Counts

148 → 4

Alt Table

Status	Error	Program
	30.3b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (exp.f64 -1) (.f64 x (+.f64 1 eps))))) 2)
✓	15.5b	(/.f64 (+.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 x (+.f64 (.f64 (.f64 eps eps) x) 2)) 2)) (.f64 (.f64 eps eps) (/.f64 (*.f64 (pow.f64 x 3) 1/3) (exp.f64 x)))) 2)
	30.3b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 -1) (.f64 (-.f64 1 eps) x))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))) 2)
▶	15.5b	(/.f64 (+.f64 (/.f64 (fma.f64 x (fma.f64 eps (.f64 eps x) 2) 2) (exp.f64 x)) (.f64 (.f64 eps eps) (/.f64 (.f64 (pow.f64 x 3) 1/3) (exp.f64 x)))) 2)

Compiler

Compiled 5264 to 2977 computations (43.4% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (pow.f64 x 3) 1/3)
✓	1.5b	(/.f64 (fma.f64 x (fma.f64 eps (*.f64 eps x) 2) 2) (exp.f64 x))
	6.2b	(.f64 (.f64 eps eps) (/.f64 (*.f64 (pow.f64 x 3) 1/3) (exp.f64 x)))
	10.8b	(/.f64 (*.f64 (pow.f64 x 3) 1/3) (exp.f64 x))

series10.0ms (0.2%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(*.f64 (pow.f64 x 3) 1/3)
1.0ms	eps	@	0	(/.f64 (fma.f64 x (fma.f64 eps (*.f64 eps x) 2) 2) (exp.f64 x))
1.0ms	eps	@	inf	(/.f64 (fma.f64 x (fma.f64 eps (*.f64 eps x) 2) 2) (exp.f64 x))
1.0ms	eps	@	-inf	(/.f64 (fma.f64 x (fma.f64 eps (*.f64 eps x) 2) 2) (exp.f64 x))
1.0ms	x	@	-inf	(/.f64 (fma.f64 x (fma.f64 eps (*.f64 eps x) 2) 2) (exp.f64 x))

rewrite46.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

599×	`log-prod_binary64`
227×	`expm1-udef_binary64`
227×	`log1p-udef_binary64`
191×	`log-pow_binary64`
130×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	24
1	272	24
2	3153	24

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs
(/.f64 (fma.f64 x (fma.f64 eps (*.f64 eps x) 2) 2) (exp.f64 x))
(*.f64 (pow.f64 x 3) 1/3)

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 x 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 1/3) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 3 (log.f64 x) (log.f64 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 1/3)) 1))))))

simplify30.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

499×	`fma-neg_binary64`
427×	`associate--l+_binary64`
399×	`associate-+r+_binary64`
242×	`associate-+l-_binary64`
242×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	751
1	126	713
2	402	697
3	1968	687

Stop Event

1×	node limit

Counts

88 → 69

Calls

Call 1

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

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

prune151.0ms (2.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	146	4	150

Error

0.0b

Counts

150 → 4

Alt Table

Status	Error	Program
	30.3b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (exp.f64 -1) (.f64 x (+.f64 1 eps))))) 2)
✓	15.5b	(/.f64 (+.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 x (+.f64 (.f64 (.f64 eps eps) x) 2)) 2)) (.f64 (.f64 eps eps) (/.f64 (*.f64 (pow.f64 x 3) 1/3) (exp.f64 x)))) 2)
▶	30.3b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 -1) (.f64 (-.f64 1 eps) x))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))) 2)
✓	15.5b	(/.f64 (+.f64 (/.f64 (fma.f64 x (fma.f64 eps (.f64 eps x) 2) 2) (exp.f64 x)) (.f64 (.f64 eps eps) (/.f64 (.f64 (pow.f64 x 3) 1/3) (exp.f64 x)))) 2)

Compiler

Compiled 4918 to 2833 computations (42.4% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (-.f64 1 eps) x)
	0.1b	(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
✓	0.1b	(pow.f64 (exp.f64 -1) (*.f64 (-.f64 1 eps) x))
✓	2.6b	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 -1) (.f64 (-.f64 1 eps) x))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))

series11.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	eps	@	0	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 -1) (.f64 (-.f64 1 eps) x))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))
1.0ms	x	@	inf	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 -1) (.f64 (-.f64 1 eps) x))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))
1.0ms	eps	@	inf	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 -1) (.f64 (-.f64 1 eps) x))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))
1.0ms	x	@	-inf	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 -1) (.f64 (-.f64 1 eps) x))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))
1.0ms	x	@	0	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 -1) (.f64 (-.f64 1 eps) x))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))

rewrite44.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

217×	`add-sqr-sqrt_binary64`
214×	`pow1_binary64`
213×	`*-un-lft-identity_binary64`
202×	`add-log-exp_binary64`
200×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	55
1	428	50

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify39.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

696×	`associate-l_binary64`
596×	`associate-r_binary64`
419×	`cancel-sign-sub-inv_binary64`
203×	`fma-def_binary64`
192×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	144	1684
1	535	1553
2	1921	1375

Stop Event

1×	node limit

Counts

121 → 109

Calls

Call 1

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

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

prune194.0ms (3.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	176	4	180

Error

0.0b

Counts

180 → 4

Alt Table

Status	Error	Program
	30.3b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (exp.f64 -1) (.f64 x (+.f64 1 eps))))) 2)
✓	15.5b	(/.f64 (+.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 x (+.f64 (.f64 (.f64 eps eps) x) 2)) 2)) (.f64 (.f64 eps eps) (/.f64 (*.f64 (pow.f64 x 3) 1/3) (exp.f64 x)))) 2)
✓	30.3b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 -1) (.f64 (-.f64 1 eps) x))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))) 2)
✓	15.5b	(/.f64 (+.f64 (/.f64 (fma.f64 x (fma.f64 eps (.f64 eps x) 2) 2) (exp.f64 x)) (.f64 (.f64 eps eps) (/.f64 (.f64 (pow.f64 x 3) 1/3) (exp.f64 x)))) 2)

Compiler

Compiled 7904 to 5901 computations (25.3% saved)

regimes200.0ms (3.9%)

Accuracy

Total 0.9b remaining (98.3%)

Threshold costs 0.9b (98.3%)

Counts

94 → 1

Compiler

Compiled 2583 to 1787 computations (30.8% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

26×	`distribute-rgt-neg-in_binary64`
20×	`distribute-lft-neg-in_binary64`
18×	`distribute-neg-in_binary64`
18×	`cancel-sign-sub-inv_binary64`
16×	`neg-sub0_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	27
1	31	27
2	52	27
3	67	25
4	84	25
5	99	25
6	119	25
7	134	25
8	149	25
9	174	25
10	193	25
11	199	25

Stop Event

1×

saturated

Calls

Call 1

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

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

end104.0ms (2%)

Stop Event

1×

fuel

Compiler

Compiled 161 to 119 computations (26.1% saved)

Iter	Nodes	Cost
0	16	27
1	31	27
2	52	27
3	67	25
4	84	25
5	99	25
6	119	25
7	134	25
8	149	25
9	174	25
10	193	25
11	199	25

Iter	Nodes	Cost
0	16	27
1	31	27
2	52	27
3	67	25
4	84	25
5	99	25
6	119	25
7	134	25
8	149	25
9	174	25
10	193	25
11	199	25

Details

analyze387.0ms (7.5%)

sample3.2s (62.7%)

preprocess39.0ms (0.8%)

simplify19.0ms (0.4%)

prune6.0ms (0.1%)

localize17.0ms (0.3%)

series19.0ms (0.4%)

rewrite51.0ms (1%)

simplify47.0ms (0.9%)

prune191.0ms (3.7%)

localize17.0ms (0.3%)

series20.0ms (0.4%)

rewrite38.0ms (0.7%)

simplify52.0ms (1%)

prune161.0ms (3.1%)

localize14.0ms (0.3%)

series10.0ms (0.2%)

rewrite46.0ms (0.9%)

simplify30.0ms (0.6%)

prune151.0ms (2.9%)

localize16.0ms (0.3%)

series11.0ms (0.2%)

rewrite44.0ms (0.9%)

simplify39.0ms (0.8%)

prune194.0ms (3.8%)

regimes200.0ms (3.9%)

simplify4.0ms (0.1%)

end104.0ms (2%)

Profiling

Iter	Nodes	Cost
0	16	27
1	31	27
2	52	27
3	67	25
4	84	25
5	99	25
6	119	25
7	134	25
8	149	25
9	174	25
10	193	25
11	199	25