Details

analyze215.0ms (2.7%)

Algorithm

1×

Search

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

Compiler

Compiled 32 to 26 computations (18.8% saved)

sample3.6s (45.3%)

Results

1.4s	2056×	body	1024	valid
1.2s	4978×	body	256	valid
416.0ms	986×	body	512	valid
324.0ms	236×	body	2048	valid
190.0ms	948×	body	256	invalid
10.0ms	20×	body	1024	invalid
3.0ms	8×	body	512	invalid

preprocess160.0ms (2%)

Algorithm

2×	egg-herbie

Rules

572×	`associate-*l/_binary64`
464×	`associate-/l/_binary64`
345×	`associate-/r/_binary64`
239×	`fma-def_binary64`
238×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	90
1	103	90
2	299	74
3	1028	74
4	3311	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 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)) (+.f64 (neg.f64 (/.f64 1 eps)) 1))) 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)))))
(/.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 (fma.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 (-.f64 1 x)) (neg.f64 eps)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 x)) (neg.f64 eps)) (+.f64 (neg.f64 (/.f64 1 x)) 1))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 eps) (+.f64 x -1)) (/.f64 (+.f64 1 (/.f64 -1 x)) (exp.f64 (fma.f64 eps x eps)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 eps) (+.f64 x -1)) (/.f64 (-.f64 1 (/.f64 1 x)) (exp.f64 (fma.f64 eps x eps)))) 2)
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 eps) (+.f64 x -1)) (/.f64 (+.f64 1 (/.f64 -1 x)) (exp.f64 (fma.f64 eps x eps)))))

Compiler

Compiled 33 to 27 computations (18.2% saved)

simplify42.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

750×	`times-frac_binary64`
534×	`cancel-sign-sub-inv_binary64`
519×	`fma-neg_binary64`
479×	`associate-/l*_binary64`
366×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	45
1	57	45
2	159	37
3	541	37
4	1697	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 (neg.f64 (+.f64 1 eps))) x))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.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)))))

eval1.0ms (0%)

Compiler: Compiled 56 to 43 computations (23.2% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

27.9b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.9b	(/.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)

Compiler

Compiled 31 to 25 computations (19.4% saved)

localize196.0ms (2.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))
✓	0.0b	(*.f64 (-.f64 1 eps) x)
✓	0.0b	(*.f64 (+.f64 1 eps) x)
✓	2.2b	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))

Compiler

Compiled 143 to 106 computations (25.9% saved)

series18.0ms (0.2%)

Counts

4 → 76

Calls

24 calls:

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

rewrite225.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	76
1	412	69
2	5981	69

Stop Event

1×	node limit

Counts

4 → 174

Calls

Call 1

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

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

simplify78.0ms (1%)

Algorithm

1×	egg-herbie

Rules

520×	`distribute-rgt-in_binary64`
503×	`distribute-lft-in_binary64`
462×	`associate-+r+_binary64`
440×	`cancel-sign-sub-inv_binary64`
229×	`associate--l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	187	2360
1	637	2095
2	2290	1702

Stop Event

1×	node limit

Counts

250 → 229

Calls

Call 1

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

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

eval223.0ms (2.8%)

Compiler: Compiled 9543 to 7173 computations (24.8% saved)

prune38.0ms (0.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	225	4	229
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	226	4	230

Error

Counts

230 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))) (.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) 2)
▶	16.3b	(/.f64 2 2)
▶	0.8b	(/.f64 (.f64 2 (.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))) 2)
▶	44.2b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (.f64 x (-.f64 -1 eps)) 1))) 2)

Compiler

Compiled 70 to 58 computations (17.1% saved)

localize3.0ms (0%)

Compiler: Compiled 6 to 6 computations (0% saved)

localize18.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 40 to 23 computations (42.5% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite64.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	145	8
2	1874	8

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

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

Outputs

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

simplify78.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	146
1	72	132
2	150	125
3	473	106
4	1500	103
5	3433	103
6	4948	103
7	6121	103
8	7822	103

Stop Event

1×	node limit

Counts

34 → 35

Calls

Call 1

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

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

localize46.0ms (0.6%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 94 to 68 computations (27.7% saved)

series4.0ms (0.1%)

Counts

2 → 36

Calls

12 calls:

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

rewrite60.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

492×	`log-prod_binary64`
366×	`exp-prod_binary64`
318×	`pow-prod-down_binary64`
246×	`pow2_binary64`
243×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	213	16
2	2846	6

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x . 1)))))

simplify66.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

543×	`distribute-rgt-in_binary64`
536×	`distribute-lft-in_binary64`
339×	`associate-l_binary64`
336×	`unswap-sqr_binary64`
293×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	390
1	165	370
2	500	340
3	2468	331
4	7903	331

Stop Event

1×	node limit

Counts

81 → 65

Calls

Call 1

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

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

localize64.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (-.f64 -1 eps))
✓	0.0b	(.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (.f64 x (-.f64 -1 eps)) 1))
✓	0.2b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (.f64 x (-.f64 -1 eps)) 1))) 2)
✓	3.1b	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (.f64 x (-.f64 -1 eps)) 1)))

Compiler

Compiled 138 to 103 computations (25.4% saved)

series17.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (.f64 x (-.f64 -1 eps)) 1))
2.0ms	eps	@	-inf	(.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (.f64 x (-.f64 -1 eps)) 1))
1.0ms	eps	@	0	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (.f64 x (-.f64 -1 eps)) 1)))
1.0ms	x	@	-inf	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (.f64 x (-.f64 -1 eps)) 1)))
1.0ms	x	@	0	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (.f64 x (-.f64 -1 eps)) 1)))

rewrite113.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

392×	`expm1-udef_binary64`
392×	`log1p-udef_binary64`
243×	`add-sqr-sqrt_binary64`
236×	`*-un-lft-identity_binary64`
236×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	105
1	475	97
2	6965	97

Stop Event

1×	node limit

Counts

4 → 138

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 (.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (+.f64 (.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps))) (+.f64 (.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps))) (.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x (-.f64 -1 eps) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps)))) (+.f64 (.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps))) (.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x (-.f64 -1 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps)))) (fma.f64 (.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps))) 1 (.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x (-.f64 -1 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps)))) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x (-.f64 -1 eps) 1) (.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x (-.f64 -1 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x (-.f64 -1 eps) 1)))) (pow.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x (-.f64 -1 eps) 1))) 2) (.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x (-.f64 -1 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps)))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x (-.f64 -1 eps) 1)))) (sqrt.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x (-.f64 -1 eps) 1))) (.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x (-.f64 -1 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps)))) (.f64 (+.f64 (.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps))) (.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x (-.f64 -1 eps) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps)))) (+.f64 (+.f64 (.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps))) (.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x (-.f64 -1 eps) 1))) (+.f64 (.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps))) (.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x (-.f64 -1 eps) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps))) (.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x (-.f64 -1 eps) 1))) (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps))) (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) 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simplify82.0ms (1%)

Algorithm

1×	egg-herbie

Rules

645×	`associate-l_binary64`
617×	`associate-r_binary64`
446×	`associate--r+_binary64`
419×	`distribute-rgt-in_binary64`
404×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	173	2903
1	624	2517
2	2220	2272

Stop Event

1×	node limit

Counts

234 → 218

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (*.f64 -1 x))) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (neg.f64 x))) eps)
(/.f64 (-.f64 (expm1.f64 (neg.f64 x)) (neg.f64 x)) eps)
(/.f64 (+.f64 (expm1.f64 (neg.f64 x)) x) eps)
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (/.f64 1 eps) (+.f64 (.f64 -1 x) (+.f64 (.f64 -1 (+.f64 1 (.f64 -1 x))) (*.f64 -1 (/.f64 x eps))))))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) (+.f64 (/.f64 1 eps) (fma.f64 -1 x (fma.f64 -1 (+.f64 1 (neg.f64 x)) (/.f64 (neg.f64 x) eps))))))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (+.f64 (-.f64 (/.f64 (neg.f64 x) eps) (-.f64 1 x)) (-.f64 (/.f64 1 eps) x))))
(+.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 (expm1.f64 (neg.f64 x)) eps)) (+.f64 x (+.f64 1 (-.f64 (/.f64 x eps) x))))
(-.f64 (+.f64 (.f64 eps (-.f64 (+.f64 (.f64 (exp.f64 (neg.f64 x)) x) (.f64 1/2 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) x)) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (.f64 (exp.f64 (neg.f64 x)) x)))) (+.f64 (/.f64 1 eps) (+.f64 (.f64 -1 x) (+.f64 (.f64 -1 (+.f64 1 (.f64 -1 x))) (*.f64 -1 (/.f64 x eps))))))
(-.f64 (fma.f64 eps (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (.f64 1/2 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)))) x) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (.f64 x (exp.f64 (neg.f64 x)))))) (+.f64 (/.f64 1 eps) (fma.f64 -1 x (fma.f64 -1 (+.f64 1 (neg.f64 x)) (/.f64 (neg.f64 x) eps)))))
(+.f64 (fma.f64 eps (-.f64 (fma.f64 (/.f64 1/2 (exp.f64 x)) (.f64 x x) (.f64 x (exp.f64 (neg.f64 x)))) x) (/.f64 (exp.f64 (neg.f64 x)) eps)) (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (+.f64 (-.f64 (/.f64 (neg.f64 x) eps) (-.f64 1 x)) (-.f64 (/.f64 1 eps) x))))
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(.f64 1/2 (+.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (.f64 x (+.f64 1 eps))) (+.f64 1 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 x eps) x))) (/.f64 1 eps)))))
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(/.f64 (+.f64 1 (*.f64 -1 x)) eps)
(/.f64 (+.f64 1 (neg.f64 x)) eps)
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(*.f64 eps x)
(*.f64 x eps)
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(fma.f64 eps x (*.f64 -1 (+.f64 x (+.f64 1 (neg.f64 x)))))
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(*.f64 eps x)
(*.f64 x eps)
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(+.f64 (/.f64 1 eps) (fma.f64 x eps (-.f64 (-.f64 (/.f64 (neg.f64 x) eps) (-.f64 1 x)) x)))
(+.f64 (/.f64 1 eps) (-.f64 (fma.f64 x eps (+.f64 -1 (-.f64 x x))) (/.f64 x eps)))
(-.f64 (/.f64 1 eps) 1)
(+.f64 (/.f64 1 eps) -1)
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(-.f64 (+.f64 (/.f64 1 eps) (.f64 -1 (.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))) 1)
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (.f64 x (+.f64 1 eps)))) 1))
(+.f64 -1 (fma.f64 (+.f64 (/.f64 -1 eps) 1) (fma.f64 x eps x) (/.f64 1 eps)))
(.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (.f64 x (-.f64 -1 eps)) 1))
(-.f64 (+.f64 (/.f64 1 eps) (.f64 -1 (.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))) 1)
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (.f64 x (+.f64 1 eps)))) 1))
(+.f64 -1 (fma.f64 (+.f64 (/.f64 -1 eps) 1) (fma.f64 x eps x) (/.f64 1 eps)))
(.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (.f64 x (-.f64 -1 eps)) 1))
(-.f64 (+.f64 (/.f64 1 eps) (.f64 -1 (.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))) 1)
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (.f64 x (+.f64 1 eps)))) 1))
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(.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (.f64 x (-.f64 -1 eps)) 1))
(.f64 -1 (.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))
(neg.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (.f64 x (+.f64 1 eps))))
(*.f64 (fma.f64 x eps x) (+.f64 (/.f64 -1 eps) 1))
(*.f64 (-.f64 (/.f64 x eps) x) (-.f64 -1 eps))
(-.f64 (+.f64 (/.f64 1 eps) (.f64 -1 (.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1)
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (.f64 x (+.f64 1 eps)))) 1))
(+.f64 -1 (fma.f64 (+.f64 (/.f64 -1 eps) 1) (fma.f64 x eps x) (/.f64 1 eps)))
(.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (.f64 x (-.f64 -1 eps)) 1))
(-.f64 (+.f64 (/.f64 1 eps) (.f64 -1 (.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1)
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (.f64 x (+.f64 1 eps)))) 1))
(+.f64 -1 (fma.f64 (+.f64 (/.f64 -1 eps) 1) (fma.f64 x eps x) (/.f64 1 eps)))
(.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (.f64 x (-.f64 -1 eps)) 1))
(-.f64 (+.f64 (/.f64 1 eps) (.f64 -1 (.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1)
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (.f64 x (+.f64 1 eps)))) 1))
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(.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (.f64 x (-.f64 -1 eps)) 1))
(.f64 -1 (.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))
(neg.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (.f64 x (+.f64 1 eps))))
(*.f64 (fma.f64 x eps x) (+.f64 (/.f64 -1 eps) 1))
(*.f64 (-.f64 (/.f64 x eps) x) (-.f64 -1 eps))
(-.f64 (+.f64 (/.f64 1 eps) (.f64 -1 (.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1)
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (.f64 x (+.f64 1 eps)))) 1))
(+.f64 -1 (fma.f64 (+.f64 (/.f64 -1 eps) 1) (fma.f64 x eps x) (/.f64 1 eps)))
(.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (.f64 x (-.f64 -1 eps)) 1))
(-.f64 (+.f64 (/.f64 1 eps) (.f64 -1 (.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1)
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (.f64 x (+.f64 1 eps)))) 1))
(+.f64 -1 (fma.f64 (+.f64 (/.f64 -1 eps) 1) (fma.f64 x eps x) (/.f64 1 eps)))
(.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (.f64 x (-.f64 -1 eps)) 1))
(-.f64 (+.f64 (/.f64 1 eps) (.f64 -1 (.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1)
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (.f64 x (+.f64 1 eps)))) 1))
(+.f64 -1 (fma.f64 (+.f64 (/.f64 -1 eps) 1) (fma.f64 x eps x) (/.f64 1 eps)))
(.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (.f64 x (-.f64 -1 eps)) 1))
(.f64 -1 (.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(.f64 -1 (.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(.f64 -1 (.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(.f64 -1 (.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(.f64 -1 (.f64 (+.f64 eps 1) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(.f64 -1 (.f64 (+.f64 eps 1) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(.f64 -1 (.f64 (+.f64 eps 1) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(.f64 -1 (.f64 (+.f64 eps 1) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(.f64 -1 (.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(.f64 -1 (.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(.f64 -1 (.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(.f64 -1 (.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(.f64 -1 (.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 (neg.f64 x) eps)
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(.f64 -1 (.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 (neg.f64 x) eps)
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))

eval333.0ms (4.2%)

Compiler: Compiled 11097 to 8203 computations (26.1% saved)

prune53.0ms (0.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	346	7	353
Fresh	0	0	0
Picked	1	0	1
Done	3	0	3
Total	350	7	357

Error

Counts

357 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.7b	(/.f64 (-.f64 (+.f64 1 (.f64 (-.f64 eps 1) x)) (.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) 2)
▶	46.6b	(/.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2)
▶	16.5b	(+.f64 (.f64 1/2 (-.f64 (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))) (+.f64 (.f64 -1 x) (.f64 -1 (+.f64 1 (.f64 -1 x)))))) (.f64 -1/2 (*.f64 eps x)))
▶	61.7b	(.f64 x (.f64 eps -1/2))
	16.3b	1
	12.4b	(/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))) (.f64 -1 (exp.f64 (neg.f64 (*.f64 x eps))))) 2)
▶	0.8b	(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)

Compiler

Compiled 199 to 159 computations (20.1% saved)

localize13.0ms (0.2%)

Compiler: Compiled 34 to 22 computations (35.3% saved)

localize6.0ms (0.1%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 24 to 11 computations (54.2% saved)

series2.0ms (0%)

Counts

1 → 4

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 x (exp.f64 x))
1.0ms	x	@	inf	(/.f64 x (exp.f64 x))
0.0ms	x	@	0	(/.f64 x (exp.f64 x))

rewrite42.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

437×	`pow1_binary64`
420×	`add-sqr-sqrt_binary64`
414×	`*-un-lft-identity_binary64`
406×	`add-log-exp_binary64`
405×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	81	6
2	1087	6

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify44.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

803×	`unswap-sqr_binary64`
612×	`distribute-rgt-neg-in_binary64`
535×	`distribute-lft-neg-in_binary64`
417×	`distribute-lft-out--_binary64`
402×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	46
1	52	43
2	127	43
3	432	39
4	1568	39
5	4696	39

Stop Event

1×	node limit

Counts

37 → 40

Calls

Call 1

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

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

localize37.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 88 to 64 computations (27.3% saved)

series8.0ms (0.1%)

Counts

3 → 48

Calls

18 calls:

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

rewrite87.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

651×	`log-prod_binary64`
645×	`fma-def_binary64`
298×	`fma-neg_binary64`
225×	`expm1-udef_binary64`
224×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	308	34
2	4500	32

Stop Event

1×	node limit

Counts

3 → 204

Calls

Call 1

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

Outputs

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

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

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

simplify54.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

715×	`fma-neg_binary64`
508×	`distribute-rgt-neg-out_binary64`
496×	`cancel-sign-sub-inv_binary64`
456×	`distribute-lft-neg-out_binary64`
418×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	657
1	248	584
2	774	564
3	3795	560

Stop Event

1×	node limit

Counts

252 → 235

Calls

Call 1

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

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

localize54.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 -1/2 (.f64 eps x))
✓	0.0b	(-.f64 (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))) (+.f64 (.f64 -1 x) (.f64 -1 (+.f64 1 (.f64 -1 x)))))
	0.0b	(*.f64 (-.f64 1 eps) x)
✓	2.2b	(+.f64 (.f64 -1 x) (.f64 -1 (+.f64 1 (*.f64 -1 x))))

Compiler

Compiled 130 to 96 computations (26.2% saved)

series8.0ms (0.1%)

Counts

3 → 32

Calls

15 calls:

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

rewrite105.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

661×	`fma-def_binary64`
364×	`fma-neg_binary64`
270×	`expm1-udef_binary64`
269×	`log1p-udef_binary64`
193×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	44
1	381	32
2	5819	32

Stop Event

1×	node limit

Counts

3 → 239

Calls

Call 1

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

Outputs

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

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

simplify57.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

780×	`fma-neg_binary64`
653×	`distribute-rgt-in_binary64`
420×	`cancel-sign-sub-inv_binary64`
373×	`unswap-sqr_binary64`
339×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	560
1	227	508
2	725	438
3	3680	330

Stop Event

1×	node limit

Counts

271 → 259

Calls

Call 1

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

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

eval297.0ms (3.7%)

Compiler: Compiled 16517 to 10555 computations (36.1% saved)

prune102.0ms (1.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	614	3	617
Fresh	0	2	2
Picked	1	0	1
Done	1	3	4
Total	616	8	624

Error

Counts

624 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	16.3b	1
▶	16.8b	(+.f64 (.f64 1/2 2) (.f64 -1/2 (*.f64 eps x)))
▶	16.7b	(/.f64 (-.f64 (+.f64 1 (.f64 (-.f64 eps 1) x)) (.f64 -1 (exp.f64 (neg.f64 (*.f64 x eps))))) 2)
✓	61.7b	(.f64 x (.f64 eps -1/2))
▶	16.5b	(+.f64 (.f64 1/2 (+.f64 1 (exp.f64 (-.f64 (.f64 x eps) x)))) (.f64 -1/2 (.f64 eps x)))
✓	46.6b	(/.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2)
▶	12.4b	(/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))) (.f64 -1 (exp.f64 (neg.f64 (*.f64 x eps))))) 2)
✓	0.8b	(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)

Compiler

Compiled 99 to 78 computations (21.2% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(.f64 -1/2 (.f64 eps x))

Compiler

Compiled 27 to 17 computations (37% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 x eps) x)
✓	0.0b	(exp.f64 (-.f64 (*.f64 x eps) x))
	0.0b	(.f64 -1/2 (.f64 eps x))
✓	0.0b	(+.f64 1 (exp.f64 (-.f64 (*.f64 x eps) x)))

Compiler

Compiled 63 to 24 computations (61.9% saved)

series7.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite66.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

927×	`pow1_binary64`
860×	`add-log-exp_binary64`
860×	`log1p-expm1-u_binary64`
860×	`expm1-log1p-u_binary64`
842×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	170	28
2	2322	28

Stop Event

1×	node limit

Counts

3 → 94

Calls

Call 1

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

Outputs

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

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

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

simplify56.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

518×	`distribute-rgt-in_binary64`
513×	`distribute-lft-in_binary64`
433×	`fma-def_binary64`
373×	`unswap-sqr_binary64`
361×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	890
1	207	882
2	675	843
3	3275	828

Stop Event

1×	node limit

Counts

166 → 135

Calls

Call 1

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

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

localize31.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 79 to 42 computations (46.8% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite82.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

615×	`log-prod_binary64`
574×	`prod-diff_binary64`
364×	`fma-def_binary64`
206×	`pow1/3_binary64`
199×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	21
1	293	17
2	4003	17

Stop Event

1×	node limit

Counts

1 → 111

Calls

Call 1

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

Outputs

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

simplify49.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

424×	`distribute-rgt-in_binary64`
397×	`distribute-lft-in_binary64`
370×	`cancel-sign-sub-inv_binary64`
305×	`fma-neg_binary64`
281×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	71	623
1	229	556
2	694	514
3	3156	514

Stop Event

1×	node limit

Counts

135 → 129

Calls

Call 1

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

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

localize25.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 73 to 38 computations (47.9% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite70.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

645×	`fma-def_binary64`
599×	`log-prod_binary64`
305×	`pow2_binary64`
273×	`fma-neg_binary64`
210×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	284	16
2	4118	16

Stop Event

1×	node limit

Counts

1 → 127

Calls

Call 1

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

Outputs

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

simplify73.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

640×	`distribute-rgt-neg-in_binary64`
545×	`distribute-lft-neg-in_binary64`
450×	`distribute-lft-out_binary64`
424×	`fma-neg_binary64`
311×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	44	446
1	136	394
2	386	384
3	1468	381
4	4228	372
5	7991	372

Stop Event

1×	node limit

Counts

151 → 144

Calls

Call 1

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

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

eval312.0ms (3.9%)

Compiler: Compiled 14064 to 7520 computations (46.5% saved)

prune149.0ms (1.9%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	570	5	575
Fresh	0	1	1
Picked	1	0	1
Done	2	4	6
Total	573	10	583

Error

Counts

583 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	16.3b	1
✓	16.8b	(+.f64 (.f64 1/2 2) (.f64 -1/2 (*.f64 eps x)))
✓	46.6b	(/.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2)
	12.4b	(/.f64 (-.f64 (exp.f64 (-.f64 (.f64 eps x) x)) (.f64 -1 (exp.f64 (neg.f64 (*.f64 x eps))))) 2)
	19.7b	(/.f64 (-.f64 (fma.f64 1/2 (.f64 x (.f64 x (*.f64 eps eps))) 2) x) 2)
	16.4b	(+.f64 (.f64 1/2 (+.f64 1 (exp.f64 (.f64 eps x)))) (.f64 -1/2 (.f64 eps x)))
	16.4b	(/.f64 (-.f64 (+.f64 1 (.f64 x eps)) (.f64 -1 (exp.f64 (neg.f64 (*.f64 x eps))))) 2)
✓	61.7b	(.f64 x (.f64 eps -1/2))
	16.5b	(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
✓	0.8b	(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)

Compiler

Compiled 119 to 90 computations (24.4% saved)

regimes68.0ms (0.9%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

6 calls:

24.0ms	eps
12.0ms	x
3.0ms	(-.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	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))) 2)
3.0ms	(/.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)

Results

Error	Segments	Branch
0.5b	1	`x`
0.5b	1	`eps`
0.5b	1	`(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))) 2)`
0.5b	1	`(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))) 2)`
0.5b	1	`(-.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)))))`
0.5b	1	`(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))`

Compiler

Compiled 414 to 301 computations (27.3% saved)

regimes31.0ms (0.4%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	x
10.0ms	eps

Results

Error	Segments	Branch
0.8b	1	`x`
0.8b	1	`eps`

Compiler

Compiled 246 to 167 computations (32.1% saved)

regimes42.0ms (0.5%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

30.0ms	eps
9.0ms	x

Results

Error	Segments	Branch
1.1b	2	`x`
13.9b	5	`eps`

Compiler

Compiled 41 to 32 computations (22% saved)

bsearch70.0ms (0.9%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
69.0ms	0.013453431562819185	119445377168432.11

Compiler

Compiled 186 to 159 computations (14.5% saved)

regimes10.0ms (0.1%)

Accuracy

Total -45.4b remaining (-278.6%)

Threshold costs -45.4b (-278.6%)

Counts

5 → 1

Calls

Call 1

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

Outputs
1

Calls

2 calls:

4.0ms	x
4.0ms	eps

Results

Error	Segments	Branch
16.3b	1	`x`
16.3b	1	`eps`

Compiler

Compiled 33 to 26 computations (21.2% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

15×	`cancel-sign-sub-inv_binary64`
12×	`+-commutative_binary64`
11×	`*-commutative_binary64`
11×	`sub-neg_binary64`
10×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	64
1	57	62
2	89	58
3	114	58
4	133	58
5	139	58

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))) (.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) 2)
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
(if (<=.f64 x 116000000000000) 1 (/.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2))
1

Outputs
(/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))) (.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) 2)
(/.f64 (-.f64 (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (+.f64 (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x))) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x)))) 2)
(/.f64 (+.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (exp.f64 (.f64 x (-.f64 -1 eps)))) 2)
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
(/.f64 (*.f64 2 (/.f64 (+.f64 1 x) (exp.f64 x))) 2)
(if (<=.f64 x 116000000000000) 1 (/.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2))
1

Compiler

Compiled 47 to 38 computations (19.1% saved)

soundness0.0ms (0%)

end46.0ms (0.6%)

Compiler: Compiled 41 to 31 computations (24.4% saved)

Details

analyze215.0ms (2.7%)

sample3.6s (45.3%)

preprocess160.0ms (2%)

simplify42.0ms (0.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize196.0ms (2.5%)

series18.0ms (0.2%)

rewrite225.0ms (2.8%)

simplify78.0ms (1%)

eval223.0ms (2.8%)

prune38.0ms (0.5%)

localize3.0ms (0%)

localize18.0ms (0.2%)

series2.0ms (0%)

rewrite64.0ms (0.8%)

simplify78.0ms (1%)

localize46.0ms (0.6%)

series4.0ms (0.1%)

rewrite60.0ms (0.8%)

simplify66.0ms (0.8%)

localize64.0ms (0.8%)

series17.0ms (0.2%)

rewrite113.0ms (1.4%)

simplify82.0ms (1%)

eval333.0ms (4.2%)

prune53.0ms (0.7%)

localize13.0ms (0.2%)

localize6.0ms (0.1%)

localize9.0ms (0.1%)

series2.0ms (0%)

rewrite42.0ms (0.5%)

simplify44.0ms (0.6%)

localize37.0ms (0.5%)

series8.0ms (0.1%)

rewrite87.0ms (1.1%)

simplify54.0ms (0.7%)

localize54.0ms (0.7%)

series8.0ms (0.1%)

rewrite105.0ms (1.3%)

simplify57.0ms (0.7%)

eval297.0ms (3.7%)

prune102.0ms (1.3%)

localize10.0ms (0.1%)

localize18.0ms (0.2%)

series7.0ms (0.1%)

rewrite66.0ms (0.8%)

simplify56.0ms (0.7%)

localize31.0ms (0.4%)

series4.0ms (0.1%)

rewrite82.0ms (1%)

simplify49.0ms (0.6%)

localize25.0ms (0.3%)

series2.0ms (0%)

rewrite70.0ms (0.9%)

simplify73.0ms (0.9%)

eval312.0ms (3.9%)

prune149.0ms (1.9%)

regimes68.0ms (0.9%)

regimes31.0ms (0.4%)

regimes42.0ms (0.5%)

bsearch70.0ms (0.9%)

regimes10.0ms (0.1%)

simplify6.0ms (0.1%)

soundness0.0ms (0%)

end46.0ms (0.6%)

Profiling