Details

analyze391.0ms (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)

sample3.4s (65.2%)

Results

1.6s	2209×	body	1024	valid
779.0ms	4316×	body	128	valid
469.0ms	1001×	body	512	valid
241.0ms	217×	body	2048	valid
182.0ms	513×	body	256	valid
69.0ms	442×	body	128	invalid
26.0ms	19×	body	1024	invalid
3.0ms	6×	body	512	invalid
1.0ms	3×	body	256	invalid

Compiler

Compiled 64 to 52 computations (18.8% saved)

preprocess38.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	90
1	103	90
2	299	74
3	959	74
4	3224	74
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

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

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

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

Compiler

Compiled 31 to 25 computations (19.4% saved)

simplify19.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

750×	`times-frac_binary64`
534×	`cancel-sign-sub-inv_binary64`
519×	`fma-neg_binary64`
197×	`associate-/l/_binary64`
123×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

prune5.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

28.6b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	28.6b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))) 2)
	29.7b	(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))))

Status

Error

Program

▶

28.6b

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

29.7b

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

Compiler

Compiled 172 to 133 computations (22.7% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 1 eps) x)
✓	0.0b	(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
✓	0.1b	(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
✓	1.5b	(-.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)))))

series22.0ms (0.4%)

Counts

4 → 92

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)))))
4.0ms	x	@	-inf	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))
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	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	eps	@	-inf	(*.f64 (+.f64 1 eps) x)

rewrite59.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	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 x (+.f64 1 eps)))))) (#(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 (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 0 (.f64 x (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (+.f64 1 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (.f64 x (+.f64 1 eps)) 3)) (+.f64 0 (+.f64 (pow.f64 (.f64 x (+.f64 1 eps)) 2) (.f64 0 (.f64 x (+.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (.f64 x (+.f64 1 eps)) 2)) (.f64 x (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (+.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (+.f64 1 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (+.f64 1 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (+.f64 1 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 x (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (+.f64 1 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (+.f64 1 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 eps) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (+.f64 (log1p.f64 eps) (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (+.f64 1 eps))))))))

simplify51.0ms (1%)

Algorithm

1×	egg-herbie

Rules

542×	`associate--l+_binary64`
344×	`associate--r+_binary64`
297×	`cancel-sign-sub-inv_binary64`
257×	`fma-def_binary64`
188×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	2012
1	575	1964
2	2209	1869

Stop Event

1×	node limit

Counts

216 → 179

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 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)

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

prune222.0ms (4.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	176	3	179
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	178	3	181

Error

0.0b

Counts

181 → 3

Alt Table

Status	Error	Program
	61.4b	(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 3)) (+.f64 (pow.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2) (+.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 2) (.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))))) 2)
▶	16.5b	(/.f64 (+.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)))))) 2)
	28.6b	(/.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)

Status

Error

Program

61.4b

(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 3)) (+.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2) (+.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 2) (*.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))))) 2)

▶

16.5b

(/.f64 (+.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)))))) 2)

28.6b

(/.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)

Compiler

Compiled 7893 to 5938 computations (24.8% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	6.9b	(*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))
✓	7.8b	(.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x))))
✓	8.1b	(.f64 (pow.f64 eps 2) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))
✓	11.1b	(*.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x)))

series16.0ms (0.3%)

Counts

4 → 40

Calls

18 calls:

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

rewrite52.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

644×	`log-prod_binary64`
212×	`expm1-udef_binary64`
212×	`log1p-udef_binary64`
184×	`log-pow_binary64`
141×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	56
1	296	47
2	3388	47

Stop Event

1×	node limit

Counts

4 → 76

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (pow.f64 x 3) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 3) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 3) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (pow.f64 x 3) (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (cbrt.f64 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 6) (pow.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (exp.f64 x)) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 x 3) (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (pow.f64 x 3) (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) (exp.f64 (.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (exp.f64 (.f64 3 x)) (pow.f64 (pow.f64 x 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 3 (log.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 3 (log.f64 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 x 3) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) (exp.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (.f64 eps (.f64 x (sqrt.f64 (exp.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 eps (.f64 x (sqrt.f64 (exp.f64 x)))) 2))) (cbrt.f64 (exp.f64 (pow.f64 (.f64 eps (.f64 x (sqrt.f64 (exp.f64 x)))) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 eps (.f64 x (sqrt.f64 (exp.f64 x)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 eps (.f64 x (sqrt.f64 (exp.f64 x)))) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 eps (.f64 x (sqrt.f64 (exp.f64 x)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 eps (.f64 x (sqrt.f64 (exp.f64 x)))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 eps (.f64 x (sqrt.f64 (exp.f64 x)))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (.f64 eps (.f64 x (sqrt.f64 (exp.f64 x)))) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (.f64 eps (.f64 x (sqrt.f64 (exp.f64 x)))) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 eps (.f64 x (sqrt.f64 (exp.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (.f64 eps (.f64 x (sqrt.f64 (exp.f64 x)))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 eps (.f64 x (sqrt.f64 (exp.f64 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 eps (.f64 x (sqrt.f64 (exp.f64 x)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (.f64 eps (.f64 x (sqrt.f64 (exp.f64 x)))) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 eps eps) 3) (pow.f64 (exp.f64 (fma.f64 2 (log.f64 x) x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (exp.f64 (fma.f64 2 (log.f64 x) x)) 3) (pow.f64 (.f64 eps eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 eps) (fma.f64 2 (log.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 2 (log.f64 eps) (fma.f64 2 (log.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (.f64 eps (.f64 x (sqrt.f64 (exp.f64 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (.f64 eps (.f64 x (sqrt.f64 (exp.f64 x)))) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (exp.f64 x) (.f64 (pow.f64 x 3) (.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 eps eps)) (.f64 (pow.f64 x 3) (exp.f64 x)))) (cbrt.f64 (pow.f64 (exp.f64 (.f64 eps eps)) (.f64 (pow.f64 x 3) (exp.f64 x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 eps eps)) (.f64 (pow.f64 x 3) (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (.f64 eps eps)) (.f64 (pow.f64 x 3) (exp.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (.f64 eps eps)) (.f64 (pow.f64 x 3) (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 x 3) (.f64 eps eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 3) (.f64 eps eps)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (pow.f64 x 3) (.f64 eps eps)) 1) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 x 3) (.f64 eps eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 x 3) (.f64 eps eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 x (cbrt.f64 (exp.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 eps (.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 x 3/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 eps 4) (.f64 (pow.f64 x 6) (pow.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (.f64 eps eps)) (.f64 (pow.f64 x 3) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 x 3) (.f64 eps eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 x 3) (.f64 eps eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.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 (pow.f64 x 3) (exp.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 eps) (fma.f64 3 (log.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 2 (log.f64 eps) (fma.f64 3 (log.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 x 3) (.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 x 3) (*.f64 eps eps)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (fma.f64 2 (log.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 2 (log.f64 x) x)))) (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 2 (log.f64 x) x)))))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 2 (log.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 2 (log.f64 x) x))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 2 (log.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 2 (log.f64 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x x) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (fma.f64 2 (log.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (fma.f64 2 (log.f64 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (fma.f64 2 (log.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (sqrt.f64 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 4) (pow.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (fma.f64 2 (log.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 2 (log.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (fma.f64 2 (log.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (exp.f64 (.f64 3 x)) (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 6) (exp.f64 (.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (fma.f64 2 (log.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (fma.f64 2 (log.f64 x) x))))))))

simplify34.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

653×	`unswap-sqr_binary64`
370×	`distribute-rgt-neg-in_binary64`
340×	`associate-l_binary64`
336×	`fma-def_binary64`
320×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	61	662
1	187	648
2	658	568
3	3212	568

Stop Event

1×	node limit

Counts

116 → 114

Calls

Call 1

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

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

prune133.0ms (2.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	114	3	117

Error

0.0b

Counts

117 → 3

Alt Table

Status

Error

Program

61.4b

(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 3)) (+.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2) (+.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 2) (*.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))))) 2)

✓

16.5b

(/.f64 (+.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)))))) 2)

▶

28.6b

(/.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)

Compiler

Compiled 5360 to 3181 computations (40.7% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (+.f64 1 eps) x)
✓	0.0b	(pow.f64 (exp.f64 -1) (*.f64 (-.f64 1 eps) x))
	0.0b	(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
✓	1.5b	(-.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)))))

series16.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	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)))))
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	@	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)))))

rewrite46.0ms (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 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(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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x))) (*.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 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (/.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 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (/.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 (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 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))) (*.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 log1p.f64 (expm1.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 expm1.f64 (log1p.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 -.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 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))))) (#(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)))))))))

simplify46.0ms (0.9%)

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

prune196.0ms (3.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	175	2	177
Fresh	0	1	1
Picked	1	0	1
Done	1	0	1
Total	177	3	180

Error

0.0b

Counts

180 → 3

Alt Table

Status

Error

Program

61.4b

(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 3)) (+.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2) (+.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 2) (*.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))))) 2)

28.6b

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

▶

16.7b

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

Compiler

Compiled 8071 to 6026 computations (25.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (-.f64 (.f64 eps (*.f64 x eps)) x))
✓	0.1b	(.f64 eps (.f64 x eps))

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite44.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

828×	`pow1_binary64`
767×	`log1p-expm1-u_binary64`
767×	`expm1-log1p-u_binary64`
80×	`add-sqr-sqrt_binary64`
79×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	152	20
2	2101	20

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

Inputs
(.f64 eps (.f64 x eps))
(.f64 x (-.f64 (.f64 eps (*.f64 x eps)) x))

Outputs

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

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

simplify39.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

714×	`fma-neg_binary64`
441×	`fma-def_binary64`
322×	`unswap-sqr_binary64`
307×	`associate-l_binary64`
275×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	467
1	42	425
2	114	425
3	380	425
4	1666	425
5	4814	425

Stop Event

1×	node limit

Counts

82 → 44

Calls

Call 1

Inputs
(*.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 (-.f64 (pow.f64 eps 2) 1) (pow.f64 x 2))
(*.f64 (-.f64 (pow.f64 eps 2) 1) (pow.f64 x 2))
(*.f64 (-.f64 (pow.f64 eps 2) 1) (pow.f64 x 2))
(*.f64 (-.f64 (pow.f64 eps 2) 1) (pow.f64 x 2))
(*.f64 (-.f64 (pow.f64 eps 2) 1) (pow.f64 x 2))
(*.f64 (-.f64 (pow.f64 eps 2) 1) (pow.f64 x 2))
(*.f64 (-.f64 (pow.f64 eps 2) 1) (pow.f64 x 2))
(*.f64 (-.f64 (pow.f64 eps 2) 1) (pow.f64 x 2))
(.f64 -1 (.f64 (-.f64 1 (pow.f64 eps 2)) (pow.f64 x 2)))
(.f64 -1 (.f64 (-.f64 1 (pow.f64 eps 2)) (pow.f64 x 2)))
(.f64 -1 (.f64 (-.f64 1 (pow.f64 eps 2)) (pow.f64 x 2)))
(.f64 -1 (.f64 (-.f64 1 (pow.f64 eps 2)) (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(-.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (pow.f64 x 2))
(-.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (pow.f64 x 2))
(-.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(-.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (pow.f64 x 2))
(-.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (pow.f64 x 2))
(-.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(-.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (pow.f64 x 2))
(-.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (pow.f64 x 2))
(-.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (pow.f64 x 2))

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

prune31.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	44	3	47

Error

0.0b

Counts

47 → 3

Alt Table

Status

Error

Program

61.4b

(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 3)) (+.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2) (+.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 2) (*.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))))) 2)

28.6b

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

✓

16.7b

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

Compiler

Compiled 850 to 484 computations (43.1% saved)

regimes179.0ms (3.4%)

Accuracy

Total 0.5b remaining (49%)

Threshold costs 0.5b (49%)

Counts

76 → 1

Compiler

Compiled 2284 to 1552 computations (32% 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)

end107.0ms (2%)

Stop Event

1×

fuel

Compiler

Compiled 170 to 131 computations (22.9% 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

analyze391.0ms (7.5%)

sample3.4s (65.2%)

preprocess38.0ms (0.7%)

simplify19.0ms (0.4%)

prune5.0ms (0.1%)

localize18.0ms (0.3%)

series22.0ms (0.4%)

rewrite59.0ms (1.1%)

simplify51.0ms (1%)

prune222.0ms (4.3%)

localize18.0ms (0.3%)

series16.0ms (0.3%)

rewrite52.0ms (1%)

simplify34.0ms (0.7%)

prune133.0ms (2.5%)

localize17.0ms (0.3%)

series16.0ms (0.3%)

rewrite46.0ms (0.9%)

simplify46.0ms (0.9%)

prune196.0ms (3.8%)

localize7.0ms (0.1%)

series7.0ms (0.1%)

rewrite44.0ms (0.8%)

simplify39.0ms (0.8%)

prune31.0ms (0.6%)

regimes179.0ms (3.4%)

simplify4.0ms (0.1%)

end107.0ms (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