Metrics for NMSE Section 6.1 mentioned, A

analyze29.0ms (0.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.7%	92.5%	6.2%	0.1%	0%	0%	1.2%	9
93.7%	92.5%	6.2%	0.1%	0%	0%	1.2%	10
96.8%	94.9%	3.1%	0.1%	0%	0%	1.9%	11
96.8%	94.9%	3.1%	0.1%	0%	0%	1.9%	12

Compiler

Compiled 32 to 26 computations (18.8% saved)

sample2.4s (30%)

Results

703.0ms	3564×	body	256	infinite
648.0ms	1093×	body	1024	valid
523.0ms	2853×	body	256	valid
236.0ms	606×	body	512	valid
188.0ms	941×	body	256	unsamplable
99.0ms	124×	body	2048	valid
6.0ms	13×	body	1024	infinite
1.0ms	3×	body	512	infinite

Bogosity

preprocess71.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1694×	`div-sub`
1486×	`times-frac`
1224×	`fma-def`
782×	`associate-/l*`
652×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	64	364
1	190	336
2	580	292
3	1928	292
4	6678	292

Stop Event

1×	node limit

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

Symmetry

(abs eps)

Compiler

Compiled 33 to 27 computations (18.2% saved)

simplify32.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1500×	`times-frac`
1062×	`cancel-sign-sub-inv`
1004×	`fma-neg`
918×	`associate-/l*`
738×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	89
1	60	89
2	162	73
3	554	73
4	1734	73

Stop Event

1×	node limit

Counts

1 → 6

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

eval3.0ms (0%)

Compiler: Compiled 164 to 118 computations (28% saved)

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	4	2	6
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	5	2	7

Accurracy

77.6%

Counts

7 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.8%	(/.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)
▶	77.6%	(/.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)
▶	63.8%	(/.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)
▶	77.6%	(/.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)

Compiler

Compiled 116 to 88 computations (24.1% saved)

localize1.8s (22.6%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	77.6%	(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))))
✓	77.6%	(-.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)))))

New

Accuracy

Program

✓

77.6%

(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))))

✓

77.6%

(-.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)))))

Compiler

Compiled 239 to 154 computations (35.6% saved)

series24.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	eps	@	inf	(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))))
3.0ms	eps	@	-inf	(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))))
3.0ms	eps	@	0	(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))))
2.0ms	eps	@	0	(-.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)))))
1.0ms	x	@	0	(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))))

rewrite68.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

684×	`add-sqr-sqrt`
678×	`pow1`
676×	`*-un-lft-identity`
636×	`add-exp-log`
636×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	150
1	673	138

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

Inputs
(-.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)))))
(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))))

Inputs

(-.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)))))

(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))))

Outputs
(+.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (neg.f64 (.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 (neg.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 (neg.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)) (+.f64 (/.f64 1 eps) -1)))
(+.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))) 2)) (cbrt.f64 (.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 (neg.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))) (sqrt.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))))
(+.f64 (-.f64 (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))))
(+.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 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (exp.f64 (+.f64 1 eps)) x) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))))
(+.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))) (sqrt.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))))
(+.f64 (fma.f64 1 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (neg.f64 (.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 1))) (fma.f64 (neg.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))) 1 (.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 1)))
(+.f64 (fma.f64 1 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (neg.f64 (.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))) (pow.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))) (pow.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))) 2) (.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))) 2))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (neg.f64 (.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 1))) (fma.f64 (neg.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))) 1 (.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 1)))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (neg.f64 (.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))) (pow.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))) (pow.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))) 2) (.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))) (pow.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))) 2))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (/.f64 1 eps)) (neg.f64 (.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 1))) (fma.f64 (neg.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))) 1 (.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 1)))
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(log1p.f64 (expm1.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 1 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (neg.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))))
(fma.f64 1 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))
(fma.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))) (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 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))
(fma.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (/.f64 1 eps)) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))))
(fma.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (/.f64 1 eps)) (*.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))
(fma.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)))) (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 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) 2) (cbrt.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) 2) (cbrt.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) (*.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))
(fma.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)))) (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 (sqrt.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))))
(fma.f64 (sqrt.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) (*.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))
(+.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))) 1)
(*.f64 1 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2) (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 x (+.f64 eps -1)))) 3) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3)) (+.f64 (.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 x (+.f64 eps -1)))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 x (+.f64 eps -1))))) (-.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2) (.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 x (+.f64 eps -1)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))
(/.f64 (-.f64 (.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 x (+.f64 eps -1)))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 x (+.f64 eps -1))))) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2)) (-.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 x (+.f64 eps -1)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 3)
(pow.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(exp.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))

simplify150.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1578×	`fma-neg`
686×	`fma-def`
592×	`times-frac`
544×	`associate-r`
414×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	466	15480
1	1489	13396
2	5783	12964

Stop Event

1×	node limit

Counts

128 → 194

Calls

Call 1

Inputs
(-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (exp.f64 (.f64 -1 x))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (.f64 -1 x)))))
(-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (+.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))) (.f64 -1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3)))))))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/120 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 5))) (.f64 1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (.f64 -1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4))) (.f64 -1/120 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))) (.f64 -1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))))))))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (.f64 -1 x)))))
(-.f64 (+.f64 (.f64 (pow.f64 eps 6) (-.f64 (+.f64 (.f64 1/5040 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 7))) (.f64 1/720 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 6)))) (+.f64 (.f64 -1/720 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 6))) (.f64 -1/5040 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 7)))))) (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/120 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 5))) (.f64 1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (.f64 -1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4))) (.f64 -1/120 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))) (.f64 -1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3)))))))))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x))) eps) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x))) eps) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x))) eps) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))) (.f64 -1 (exp.f64 (.f64 -1 (.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (.f64 -1 (exp.f64 (.f64 -1 (.f64 (-.f64 1 (.f64 -1 eps)) x))))) eps))) (.f64 -1 (exp.f64 (.f64 -1 (.f64 (-.f64 1 (.f64 -1 eps)) x)))))
(-.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (.f64 -1 (exp.f64 (.f64 -1 (.f64 (-.f64 1 (.f64 -1 eps)) x))))) eps))) (.f64 -1 (exp.f64 (.f64 -1 (.f64 (-.f64 1 (.f64 -1 eps)) x)))))
(-.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (.f64 -1 (exp.f64 (.f64 -1 (.f64 (-.f64 1 (.f64 -1 eps)) x))))) eps))) (.f64 -1 (exp.f64 (.f64 -1 (.f64 (-.f64 1 (.f64 -1 eps)) x)))))
2
(+.f64 (.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) 2)
(+.f64 (.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (.f64 -1 (.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (+.f64 2 (.f64 (-.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 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 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (.f64 -1 (.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (+.f64 2 (+.f64 (.f64 (pow.f64 x 3) (-.f64 (.f64 -1/6 (.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 3))) (.f64 -1/6 (.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 3))))) (.f64 (-.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 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 -1 (.f64 (-.f64 1 eps) x)))) (.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)))) (.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)))) (.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)))) (.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)))) (.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)))) (.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)))) (.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)))) (.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps)
(-.f64 (+.f64 (/.f64 (exp.f64 (.f64 -1 x)) eps) (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (.f64 -1 x))))) (+.f64 (/.f64 1 (.f64 eps (exp.f64 x))) (.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (.f64 eps (-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (.f64 (-.f64 (/.f64 1 (exp.f64 x)) (.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (exp.f64 (.f64 -1 x)))))) (+.f64 (/.f64 1 (.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
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2
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(*.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 x (+.f64 eps -1)))) 3) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3)) (+.f64 (.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 x (+.f64 eps -1)))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 x (+.f64 eps -1))))) (-.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2) (.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 x (+.f64 eps -1)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))
(/.f64 (-.f64 (.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 x (+.f64 eps -1)))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 x (+.f64 eps -1))))) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2)) (-.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 x (+.f64 eps -1)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 3)
(pow.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(exp.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))

Outputs
(-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (exp.f64 (.f64 -1 x))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (.f64 -1 x)))))
(-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) 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 (fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x))) (/.f64 -1 (exp.f64 x)))
(-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (+.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))) (.f64 -1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3)))))))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (.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 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(+.f64 (fma.f64 (.f64 eps eps) (-.f64 (fma.f64 1/2 (.f64 x (/.f64 x (exp.f64 x))) (.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))) (fma.f64 (.f64 x (/.f64 x (exp.f64 x))) -1/2 (.f64 (pow.f64 x 3) (/.f64 -1/6 (exp.f64 x))))) (exp.f64 (neg.f64 x))) (-.f64 (/.f64 x (exp.f64 x)) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))))
(+.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (fma.f64 eps (.f64 eps (-.f64 (fma.f64 1/2 (.f64 x (/.f64 x (exp.f64 x))) (.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))) (fma.f64 (.f64 x (/.f64 x (exp.f64 x))) -1/2 (.f64 (pow.f64 x 3) (/.f64 -1/6 (exp.f64 x)))))) (.f64 1 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))))
(-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/120 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 5))) (.f64 1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (.f64 -1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4))) (.f64 -1/120 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))) (.f64 -1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))))))))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (.f64 -1 x)))))
(-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 (-.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))) (pow.f64 eps 4) (+.f64 (exp.f64 (neg.f64 x)) (.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 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(+.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 1/120 (exp.f64 x)) (pow.f64 x 5) (.f64 (pow.f64 x 4) (/.f64 1/24 (exp.f64 x)))) (fma.f64 (/.f64 -1/120 (exp.f64 x)) (pow.f64 x 5) (.f64 (pow.f64 x 4) (/.f64 -1/24 (exp.f64 x))))) (pow.f64 eps 4) (fma.f64 (.f64 eps eps) (-.f64 (fma.f64 1/2 (.f64 x (/.f64 x (exp.f64 x))) (.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))) (fma.f64 (.f64 x (/.f64 x (exp.f64 x))) -1/2 (.f64 (pow.f64 x 3) (/.f64 -1/6 (exp.f64 x))))) (exp.f64 (neg.f64 x)))) (-.f64 (/.f64 x (exp.f64 x)) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))))
(-.f64 (+.f64 (.f64 (pow.f64 eps 6) (-.f64 (+.f64 (.f64 1/5040 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 7))) (.f64 1/720 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 6)))) (+.f64 (.f64 -1/720 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 6))) (.f64 -1/5040 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 7)))))) (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/120 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 5))) (.f64 1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (.f64 -1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4))) (.f64 -1/120 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))) (.f64 -1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3)))))))))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (fma.f64 (pow.f64 eps 6) (-.f64 (fma.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)))) (fma.f64 -1/720 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) -1/5040))) (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 (-.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))) (pow.f64 eps 4) (+.f64 (exp.f64 (neg.f64 x)) (.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 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(+.f64 (fma.f64 (pow.f64 eps 6) (-.f64 (fma.f64 (/.f64 1/5040 (exp.f64 x)) (pow.f64 x 7) (.f64 (pow.f64 x 6) (/.f64 1/720 (exp.f64 x)))) (fma.f64 (/.f64 -1/720 (exp.f64 x)) (pow.f64 x 6) (.f64 (pow.f64 x 7) (/.f64 -1/5040 (exp.f64 x))))) (/.f64 x (exp.f64 x))) (-.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 1/120 (exp.f64 x)) (pow.f64 x 5) (.f64 (pow.f64 x 4) (/.f64 1/24 (exp.f64 x)))) (fma.f64 (/.f64 -1/120 (exp.f64 x)) (pow.f64 x 5) (.f64 (pow.f64 x 4) (/.f64 -1/24 (exp.f64 x))))) (pow.f64 eps 4) (fma.f64 (.f64 eps eps) (-.f64 (fma.f64 1/2 (.f64 x (/.f64 x (exp.f64 x))) (.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))) (fma.f64 (.f64 x (/.f64 x (exp.f64 x))) -1/2 (.f64 (pow.f64 x 3) (/.f64 -1/6 (exp.f64 x))))) (exp.f64 (neg.f64 x)))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))))
(-.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1))))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(-.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x))) eps) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(+.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (-.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) eps) (+.f64 (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1))))) (/.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))) eps))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps)))
(-.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x))) eps) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(+.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (-.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) eps) (+.f64 (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1))))) (/.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))) eps))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps)))
(-.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x))) eps) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(+.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (-.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) eps) (+.f64 (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1))))) (/.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))) eps))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps)))
(-.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))) (.f64 -1 (exp.f64 (.f64 -1 (.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1))))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(-.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (.f64 -1 (exp.f64 (.f64 -1 (.f64 (-.f64 1 (.f64 -1 eps)) x))))) eps))) (.f64 -1 (exp.f64 (.f64 -1 (.f64 (-.f64 1 (.f64 -1 eps)) x)))))
(+.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (-.f64 (neg.f64 (/.f64 (.f64 -1 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (exp.f64 (neg.f64 (.f64 x (-.f64 1 (neg.f64 eps))))))) eps)) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps))))))))
(-.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) eps))
(-.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (.f64 -1 (exp.f64 (.f64 -1 (.f64 (-.f64 1 (.f64 -1 eps)) x))))) eps))) (.f64 -1 (exp.f64 (.f64 -1 (.f64 (-.f64 1 (.f64 -1 eps)) x)))))
(+.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (-.f64 (neg.f64 (/.f64 (.f64 -1 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (exp.f64 (neg.f64 (.f64 x (-.f64 1 (neg.f64 eps))))))) eps)) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps))))))))
(-.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) eps))
(-.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (.f64 -1 (exp.f64 (.f64 -1 (.f64 (-.f64 1 (.f64 -1 eps)) x))))) eps))) (.f64 -1 (exp.f64 (.f64 -1 (.f64 (-.f64 1 (.f64 -1 eps)) x)))))
(+.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (-.f64 (neg.f64 (/.f64 (.f64 -1 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (exp.f64 (neg.f64 (.f64 x (-.f64 1 (neg.f64 eps))))))) eps)) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps))))))))
(-.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) eps))
2
(+.f64 (.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) 2)
(fma.f64 (.f64 -1 (-.f64 (.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 eps 1) (+.f64 -1 (/.f64 1 eps))))) x 2)
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0
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2
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(-.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps 1)) x)))
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(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(exp.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 1))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))

eval231.0ms (2.9%)

Compiler: Compiled 10878 to 7812 computations (28.2% saved)

prune33.0ms (0.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	190	4	194
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	192	4	196

Accurracy

100.0%

Counts

196 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.8%	(/.f64 (-.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
▶	98.5%	(/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
▶	39.9%	(/.f64 2 2)
▶	17.5%	(/.f64 0 2)
▶	55.8%	(/.f64 (-.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
▶	98.5%	(/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
▶	39.9%	(/.f64 2 2)
▶	17.5%	(/.f64 0 2)

Compiler

Compiled 100 to 80 computations (20% saved)

localize139.0ms (1.7%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(*.f64 x (+.f64 eps 1))

Compiler

Compiled 160 to 105 computations (34.4% saved)

series5.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(*.f64 x (+.f64 eps 1))
0.0ms	x	@	0	(*.f64 x (+.f64 eps 1))
0.0ms	x	@	inf	(*.f64 x (+.f64 eps 1))
0.0ms	eps	@	inf	(*.f64 x (+.f64 eps 1))
0.0ms	eps	@	0	(*.f64 x (+.f64 eps 1))

rewrite64.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1466×	`pow1`
1358×	`log1p-expm1-u`
1358×	`expm1-log1p-u`
1356×	`add-exp-log`
1332×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	147	9
2	1913	9

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs
(+.f64 x (*.f64 x eps))
(+.f64 (*.f64 x eps) x)
(+.f64 (.f64 (.f64 x eps) 1) x)
(-.f64 (+.f64 1 (fma.f64 x eps x)) 1)
(/.f64 (+.f64 (pow.f64 (.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (.f64 (.f64 x eps) (.f64 x eps)) (-.f64 (.f64 x x) (.f64 (*.f64 x eps) x))))
(/.f64 (-.f64 (.f64 (.f64 x eps) (.f64 x eps)) (.f64 x x)) (-.f64 (*.f64 x eps) x))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 (*.f64 x (fma.f64 eps eps -1)) (+.f64 eps -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 (*.f64 (fma.f64 eps eps -1) x) (+.f64 eps -1))
(pow.f64 (fma.f64 x eps x) 1)
(pow.f64 (cbrt.f64 (fma.f64 x eps x)) 3)
(pow.f64 (pow.f64 (fma.f64 x eps x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x eps x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x eps x) 2))
(log.f64 (exp.f64 (fma.f64 x eps x)))
(cbrt.f64 (pow.f64 (fma.f64 x eps x) 3))
(expm1.f64 (log1p.f64 (fma.f64 x eps x)))
(exp.f64 (log.f64 (fma.f64 x eps x)))
(log1p.f64 (expm1.f64 (fma.f64 x eps x)))
(fma.f64 x eps x)
(fma.f64 eps x x)

simplify68.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1848×	`fma-neg`
978×	`times-frac`
754×	`associate-r`
648×	`log-prod`
646×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	522
1	172	520
2	594	508
3	3010	498
4	7286	498

Stop Event

1×	node limit

Counts

46 → 34

Calls

Call 1

Inputs
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.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 x (*.f64 x eps))
(+.f64 (*.f64 x eps) x)
(+.f64 (.f64 (.f64 x eps) 1) x)
(-.f64 (+.f64 1 (fma.f64 x eps x)) 1)
(/.f64 (+.f64 (pow.f64 (.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (.f64 (.f64 x eps) (.f64 x eps)) (-.f64 (.f64 x x) (.f64 (*.f64 x eps) x))))
(/.f64 (-.f64 (.f64 (.f64 x eps) (.f64 x eps)) (.f64 x x)) (-.f64 (*.f64 x eps) x))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 (*.f64 x (fma.f64 eps eps -1)) (+.f64 eps -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 (*.f64 (fma.f64 eps eps -1) x) (+.f64 eps -1))
(pow.f64 (fma.f64 x eps x) 1)
(pow.f64 (cbrt.f64 (fma.f64 x eps x)) 3)
(pow.f64 (pow.f64 (fma.f64 x eps x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x eps x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x eps x) 2))
(log.f64 (exp.f64 (fma.f64 x eps x)))
(cbrt.f64 (pow.f64 (fma.f64 x eps x) 3))
(expm1.f64 (log1p.f64 (fma.f64 x eps x)))
(exp.f64 (log.f64 (fma.f64 x eps x)))
(log1p.f64 (expm1.f64 (fma.f64 x eps x)))
(fma.f64 x eps x)
(fma.f64 eps x x)

Outputs
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
x
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(+.f64 x (*.f64 x eps))
(fma.f64 eps x x)
(+.f64 (*.f64 x eps) x)
(fma.f64 eps x x)
(+.f64 (.f64 (.f64 x eps) 1) x)
(fma.f64 eps x x)
(-.f64 (+.f64 1 (fma.f64 x eps x)) 1)
(fma.f64 eps x x)
(/.f64 (+.f64 (pow.f64 (.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (.f64 (.f64 x eps) (.f64 x eps)) (-.f64 (.f64 x x) (.f64 (*.f64 x eps) x))))
(/.f64 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 x 3)) (fma.f64 (.f64 eps x) (.f64 eps x) (.f64 x (-.f64 x (*.f64 eps x)))))
(/.f64 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 x 3)) (.f64 x (+.f64 (.f64 eps (.f64 eps x)) (-.f64 x (*.f64 eps x)))))
(/.f64 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 x 3)) (.f64 x (-.f64 (.f64 x (fma.f64 eps eps 1)) (.f64 eps x))))
(.f64 1 (/.f64 (.f64 x (fma.f64 x (pow.f64 eps 3) x)) (*.f64 x (-.f64 (fma.f64 eps eps 1) eps))))
(/.f64 (-.f64 (.f64 (.f64 x eps) (.f64 x eps)) (.f64 x x)) (-.f64 (*.f64 x eps) x))
(fma.f64 eps x x)
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 (+.f64 1 (pow.f64 eps 3)) (/.f64 (fma.f64 eps eps (-.f64 1 eps)) x))
(/.f64 (+.f64 x (*.f64 x (pow.f64 eps 3))) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 (fma.f64 x (pow.f64 eps 3) x) (-.f64 (fma.f64 eps eps 1) eps))
(/.f64 (*.f64 x (fma.f64 eps eps -1)) (+.f64 eps -1))
(fma.f64 eps x x)
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 (+.f64 1 (pow.f64 eps 3)) (/.f64 (fma.f64 eps eps (-.f64 1 eps)) x))
(/.f64 (+.f64 x (*.f64 x (pow.f64 eps 3))) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 (fma.f64 x (pow.f64 eps 3) x) (-.f64 (fma.f64 eps eps 1) eps))
(/.f64 (*.f64 (fma.f64 eps eps -1) x) (+.f64 eps -1))
(fma.f64 eps x x)
(pow.f64 (fma.f64 x eps x) 1)
(fma.f64 eps x x)
(pow.f64 (cbrt.f64 (fma.f64 x eps x)) 3)
(fma.f64 eps x x)
(pow.f64 (pow.f64 (fma.f64 x eps x) 3) 1/3)
(fma.f64 eps x x)
(pow.f64 (sqrt.f64 (fma.f64 x eps x)) 2)
(fma.f64 eps x x)
(sqrt.f64 (pow.f64 (fma.f64 x eps x) 2))
(fma.f64 eps x x)
(log.f64 (exp.f64 (fma.f64 x eps x)))
(fma.f64 eps x x)
(cbrt.f64 (pow.f64 (fma.f64 x eps x) 3))
(fma.f64 eps x x)
(expm1.f64 (log1p.f64 (fma.f64 x eps x)))
(fma.f64 eps x x)
(exp.f64 (log.f64 (fma.f64 x eps x)))
(fma.f64 eps x x)
(log1p.f64 (expm1.f64 (fma.f64 x eps x)))
(fma.f64 eps x x)
(fma.f64 x eps x)
(fma.f64 eps x x)
(fma.f64 eps x x)

eval13.0ms (0.2%)

Compiler: Compiled 783 to 530 computations (32.3% saved)

prune8.0ms (0.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	33	5	38

Accurracy

100.0%

Counts

38 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.8%	(/.f64 (-.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
▶	91.0%	(/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (.f64 eps x))))) 2)
▶	89.5%	(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 x)))) 2)
✓	39.9%	(/.f64 2 2)
✓	17.5%	(/.f64 0 2)
✓	55.8%	(/.f64 (-.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
▶	91.0%	(/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (.f64 eps x))))) 2)
▶	89.5%	(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 x)))) 2)
✓	39.9%	(/.f64 2 2)
✓	17.5%	(/.f64 0 2)

Compiler

Compiled 128 to 102 computations (20.3% saved)

localize123.0ms (1.5%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 x))))

Compiler

Compiled 136 to 70 computations (48.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite77.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1160×	`log-prod`
1056×	`prod-diff`
708×	`fma-def`
506×	`pow-exp`
414×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	39
1	294	27
2	4066	27

Stop Event

1×	node limit

Counts

1 → 110

Calls

Call 1

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

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

simplify122.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

578×	`associate-/l*`
554×	`distribute-lft-in`
552×	`associate-/r*`
520×	`associate-+r+`
498×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	292	7370
1	742	6604
2	2057	5690
3	7181	5690

Stop Event

1×	node limit

Counts

134 → 174

Calls

Call 1

Inputs
2
(+.f64 2 (*.f64 (-.f64 eps 2) x))
(+.f64 2 (+.f64 (.f64 (-.f64 eps 2) x) (.f64 (+.f64 1/2 (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2))) (pow.f64 x 2))))
(+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 (-.f64 eps 1) 3)) 1/6) (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 (-.f64 eps 2) x) (.f64 (+.f64 1/2 (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2))) (pow.f64 x 2)))))
(+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))) (exp.f64 (.f64 -1 x)))
(+.f64 (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))) (exp.f64 (.f64 -1 x)))
(+.f64 (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))) (exp.f64 (.f64 -1 x)))
(+.f64 (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))) (exp.f64 (.f64 -1 x)))
(*.f64 2 (exp.f64 (neg.f64 x)))
(+.f64 (.f64 eps (.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 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 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)))) (*.f64 2 (exp.f64 (neg.f64 x))))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.f64 (exp.f64 (neg.f64 (.f64 (+.f64 1 (.f64 -1 eps)) x))) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 (.f64 (+.f64 1 (.f64 -1 eps)) x))) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 (.f64 (+.f64 1 (.f64 -1 eps)) x))) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 (.f64 (+.f64 1 (.f64 -1 eps)) x))) (exp.f64 (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x))
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 (+.f64 x x))) (exp.f64 x)))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)) (+.f64 (exp.f64 x) (exp.f64 x)))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)) (fma.f64 -1 (exp.f64 x) (exp.f64 x)))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)) (fma.f64 1 (exp.f64 x) (exp.f64 x)))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (+.f64 x x)))) (cbrt.f64 (exp.f64 x)) (exp.f64 x)))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (exp.f64 x)))) (sqrt.f64 (exp.f64 x)) (exp.f64 x)))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) (neg.f64 (sqrt.f64 (exp.f64 x))) (exp.f64 x)))
(+.f64 0 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 0) (exp.f64 x))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (neg.f64 (.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 (+.f64 x x)))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (exp.f64 x)))) (cbrt.f64 (exp.f64 (+.f64 x x))) (.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 (+.f64 x x))))))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (neg.f64 (.f64 (cbrt.f64 (exp.f64 x)) (neg.f64 (cbrt.f64 (exp.f64 (+.f64 x x))))))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (neg.f64 (cbrt.f64 (exp.f64 (+.f64 x x)))) (.f64 (cbrt.f64 (exp.f64 x)) (neg.f64 (cbrt.f64 (exp.f64 (+.f64 x x)))))))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (neg.f64 (.f64 (cbrt.f64 (exp.f64 x)) (.f64 -1 (cbrt.f64 (exp.f64 (+.f64 x x))))))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (.f64 -1 (cbrt.f64 (exp.f64 (+.f64 x x)))) (.f64 (cbrt.f64 (exp.f64 x)) (*.f64 -1 (cbrt.f64 (exp.f64 (+.f64 x x)))))))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (neg.f64 (.f64 (sqrt.f64 (exp.f64 x)) (.f64 -1 (sqrt.f64 (exp.f64 x)))))) (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) (.f64 -1 (sqrt.f64 (exp.f64 x))) (.f64 (sqrt.f64 (exp.f64 x)) (*.f64 -1 (sqrt.f64 (exp.f64 x))))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 1 (neg.f64 (.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 (+.f64 x x)))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (exp.f64 x)))) (cbrt.f64 (exp.f64 (+.f64 x x))) (.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 (+.f64 x x))))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 1 (neg.f64 (.f64 (cbrt.f64 (exp.f64 x)) (neg.f64 (cbrt.f64 (exp.f64 (+.f64 x x))))))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (neg.f64 (cbrt.f64 (exp.f64 (+.f64 x x)))) (.f64 (cbrt.f64 (exp.f64 x)) (neg.f64 (cbrt.f64 (exp.f64 (+.f64 x x)))))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 1 (neg.f64 (.f64 (cbrt.f64 (exp.f64 x)) (.f64 -1 (cbrt.f64 (exp.f64 (+.f64 x x))))))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (.f64 -1 (cbrt.f64 (exp.f64 (+.f64 x x)))) (.f64 (cbrt.f64 (exp.f64 x)) (*.f64 -1 (cbrt.f64 (exp.f64 (+.f64 x x)))))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 1 (neg.f64 (.f64 (sqrt.f64 (exp.f64 x)) (.f64 -1 (sqrt.f64 (exp.f64 x)))))) (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) (.f64 -1 (sqrt.f64 (exp.f64 x))) (.f64 (sqrt.f64 (exp.f64 x)) (*.f64 -1 (sqrt.f64 (exp.f64 x))))))
(+.f64 (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) (neg.f64 (.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 (+.f64 x x)))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (exp.f64 x)))) (cbrt.f64 (exp.f64 (+.f64 x x))) (.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 (+.f64 x x))))))
(+.f64 (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) (neg.f64 (.f64 (cbrt.f64 (exp.f64 x)) (neg.f64 (cbrt.f64 (exp.f64 (+.f64 x x))))))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (neg.f64 (cbrt.f64 (exp.f64 (+.f64 x x)))) (.f64 (cbrt.f64 (exp.f64 x)) (neg.f64 (cbrt.f64 (exp.f64 (+.f64 x x)))))))
(+.f64 (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) (neg.f64 (.f64 (cbrt.f64 (exp.f64 x)) (.f64 -1 (cbrt.f64 (exp.f64 (+.f64 x x))))))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (.f64 -1 (cbrt.f64 (exp.f64 (+.f64 x x)))) (.f64 (cbrt.f64 (exp.f64 x)) (*.f64 -1 (cbrt.f64 (exp.f64 (+.f64 x x)))))))
(+.f64 (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) (neg.f64 (.f64 (sqrt.f64 (exp.f64 x)) (.f64 -1 (sqrt.f64 (exp.f64 x)))))) (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) (.f64 -1 (sqrt.f64 (exp.f64 x))) (.f64 (sqrt.f64 (exp.f64 x)) (*.f64 -1 (sqrt.f64 (exp.f64 x))))))
(+.f64 (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))) (neg.f64 (.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 (+.f64 x x)))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (exp.f64 x)))) (cbrt.f64 (exp.f64 (+.f64 x x))) (.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 (+.f64 x x))))))
(+.f64 (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))) (neg.f64 (.f64 (cbrt.f64 (exp.f64 x)) (neg.f64 (cbrt.f64 (exp.f64 (+.f64 x x))))))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (neg.f64 (cbrt.f64 (exp.f64 (+.f64 x x)))) (.f64 (cbrt.f64 (exp.f64 x)) (neg.f64 (cbrt.f64 (exp.f64 (+.f64 x x)))))))
(+.f64 (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))) (neg.f64 (.f64 (cbrt.f64 (exp.f64 x)) (.f64 -1 (cbrt.f64 (exp.f64 (+.f64 x x))))))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (.f64 -1 (cbrt.f64 (exp.f64 (+.f64 x x)))) (.f64 (cbrt.f64 (exp.f64 x)) (*.f64 -1 (cbrt.f64 (exp.f64 (+.f64 x x)))))))
(+.f64 (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))) (neg.f64 (.f64 (sqrt.f64 (exp.f64 x)) (.f64 -1 (sqrt.f64 (exp.f64 x)))))) (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) (.f64 -1 (sqrt.f64 (exp.f64 x))) (.f64 (sqrt.f64 (exp.f64 x)) (*.f64 -1 (sqrt.f64 (exp.f64 x))))))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (neg.f64 (.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 (+.f64 x x)))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (exp.f64 x)))) (cbrt.f64 (exp.f64 (+.f64 x x))) (.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 (+.f64 x x))))))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (neg.f64 (.f64 (cbrt.f64 (exp.f64 x)) (neg.f64 (cbrt.f64 (exp.f64 (+.f64 x x))))))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (neg.f64 (cbrt.f64 (exp.f64 (+.f64 x x)))) (.f64 (cbrt.f64 (exp.f64 x)) (neg.f64 (cbrt.f64 (exp.f64 (+.f64 x x)))))))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (neg.f64 (.f64 (cbrt.f64 (exp.f64 x)) (.f64 -1 (cbrt.f64 (exp.f64 (+.f64 x x))))))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (.f64 -1 (cbrt.f64 (exp.f64 (+.f64 x x)))) (.f64 (cbrt.f64 (exp.f64 x)) (*.f64 -1 (cbrt.f64 (exp.f64 (+.f64 x x)))))))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (neg.f64 (.f64 (sqrt.f64 (exp.f64 x)) (.f64 -1 (sqrt.f64 (exp.f64 x)))))) (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) (.f64 -1 (sqrt.f64 (exp.f64 x))) (.f64 (sqrt.f64 (exp.f64 x)) (*.f64 -1 (sqrt.f64 (exp.f64 x))))))
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(*.f64 1 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)) 1)
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(*.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)) 2)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x))))
(*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)) 2) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x))))
(.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (exp.f64 (.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)) 2) (exp.f64 (fma.f64 (-.f64 1 eps) x x)))))
(*.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (exp.f64 x))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (exp.f64 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)) 2) (exp.f64 (fma.f64 (-.f64 1 eps) x x))) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (exp.f64 (*.f64 x 3)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)) 2)))
(/.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)) 2) (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (exp.f64 (*.f64 x 3))) (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)) 2) (exp.f64 (fma.f64 (-.f64 1 eps) x x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (exp.f64 (*.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)) 2) (exp.f64 (fma.f64 (-.f64 1 eps) x x)))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)) 2)) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x))))
(pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x))) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)) 2) (exp.f64 (fma.f64 (-.f64 1 eps) x x))) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (exp.f64 (*.f64 x 3)))) -1)
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)) 2)) -1)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)))))
(log.f64 (*.f64 (exp.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (+.f64 1 (expm1.f64 (exp.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (exp.f64 (exp.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (+.f64 1 (expm1.f64 (exp.f64 x)))))
(log.f64 (*.f64 (exp.f64 (exp.f64 x)) (exp.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))
(log.f64 (*.f64 (exp.f64 (exp.f64 x)) (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 x))) (exp.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 x))) (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))))
(log.f64 (/.f64 (exp.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (+.f64 1 (expm1.f64 (exp.f64 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (exp.f64 (exp.f64 x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (+.f64 1 (expm1.f64 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x))))
(hypot.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x))
(exp.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)))) 2))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x))))
(fma.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x))
(fma.f64 1 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 1 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 (+.f64 x x))) (exp.f64 x)))
(fma.f64 1 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)) (+.f64 (exp.f64 x) (exp.f64 x)))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 1 (exp.f64 x))
(fma.f64 (exp.f64 x) 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (exp.f64 x) -1 (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 (+.f64 x x))) (exp.f64 x)))
(fma.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)) 1 (+.f64 (exp.f64 x) (exp.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x))) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)) 2)) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 (+.f64 x x))) (exp.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x))) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)) 2)) (+.f64 (exp.f64 x) (exp.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)) 2)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 (+.f64 x x))) (exp.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)) 2)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 x)))
(fma.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 (+.f64 x x))) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (cbrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (neg.f64 (cbrt.f64 (exp.f64 x))) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(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) (exp.f64 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))) (exp.f64 x))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)) 2) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 (+.f64 x x))) (exp.f64 x)))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)) 2) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 (+.f64 x x))) (exp.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 x)))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (sqrt.f64 (exp.f64 x)) (neg.f64 (sqrt.f64 (exp.f64 x))) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (exp.f64 x))
(fma.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (exp.f64 (*.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)) 2) (exp.f64 (fma.f64 (-.f64 1 eps) x x)))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 (+.f64 x x))) (exp.f64 x)))
(fma.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (exp.f64 (*.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)) 2) (exp.f64 (fma.f64 (-.f64 1 eps) x x)))) (+.f64 (exp.f64 x) (exp.f64 x)))
(fma.f64 -1 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (exp.f64 x))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (exp.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 (+.f64 x x))) (exp.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (exp.f64 x))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 x)))
(fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (+.f64 x x)))) (cbrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (*.f64 -1 (cbrt.f64 (exp.f64 (+.f64 x x)))) (cbrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (*.f64 -1 (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))

Outputs
2
(+.f64 2 (*.f64 (-.f64 eps 2) x))
(+.f64 2 (*.f64 (+.f64 eps -2) x))
(fma.f64 (+.f64 eps -2) x 2)
(+.f64 2 (+.f64 (.f64 (-.f64 eps 2) x) (.f64 (+.f64 1/2 (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2))) (pow.f64 x 2))))
(+.f64 2 (fma.f64 (+.f64 eps -2) x (.f64 (+.f64 1/2 (.f64 1/2 (pow.f64 (+.f64 eps -1) 2))) (*.f64 x x))))
(+.f64 (fma.f64 (+.f64 eps -2) x 2) (.f64 (fma.f64 1/2 (pow.f64 (+.f64 eps -1) 2) 1/2) (.f64 x x)))
(+.f64 2 (.f64 x (+.f64 (+.f64 eps -2) (.f64 x (fma.f64 1/2 (pow.f64 (+.f64 eps -1) 2) 1/2)))))
(+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 (-.f64 eps 1) 3)) 1/6) (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 (-.f64 eps 2) x) (.f64 (+.f64 1/2 (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2))) (pow.f64 x 2)))))
(fma.f64 (fma.f64 1/6 (pow.f64 (+.f64 eps -1) 3) -1/6) (pow.f64 x 3) (+.f64 2 (fma.f64 (+.f64 eps -2) x (.f64 (+.f64 1/2 (.f64 1/2 (pow.f64 (+.f64 eps -1) 2))) (*.f64 x x)))))
(fma.f64 (fma.f64 1/6 (pow.f64 (+.f64 eps -1) 3) -1/6) (pow.f64 x 3) (+.f64 (fma.f64 (+.f64 eps -2) x 2) (.f64 (fma.f64 1/2 (pow.f64 (+.f64 eps -1) 2) 1/2) (.f64 x x))))
(+.f64 (fma.f64 (+.f64 eps -2) x 2) (.f64 (.f64 x x) (+.f64 (fma.f64 1/2 (pow.f64 (+.f64 eps -1) 2) 1/2) (*.f64 x (fma.f64 1/6 (pow.f64 (+.f64 eps -1) 3) -1/6)))))
(+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))) (exp.f64 (.f64 -1 x)))
(+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))) (exp.f64 (.f64 -1 x)))
(+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))) (exp.f64 (.f64 -1 x)))
(+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))) (exp.f64 (.f64 -1 x)))
(+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(*.f64 2 (exp.f64 (neg.f64 x)))
(/.f64 2 (exp.f64 x))
(+.f64 (.f64 eps (.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 eps (.f64 x (exp.f64 (neg.f64 x))) (.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (/.f64 2 (exp.f64 x)))
(.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (.f64 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 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)))) (.f64 2 (exp.f64 (neg.f64 x)))))
(fma.f64 eps (.f64 x (exp.f64 (neg.f64 x))) (fma.f64 1/2 (.f64 eps (.f64 eps (.f64 x (*.f64 x (exp.f64 (neg.f64 x)))))) (/.f64 2 (exp.f64 x))))
(fma.f64 eps (/.f64 x (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (.f64 (.f64 x x) (.f64 eps (*.f64 eps 1/2))))))
(+.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)))) (*.f64 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)))) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x)))) (.f64 2 (exp.f64 (neg.f64 x))))))
(fma.f64 eps (.f64 x (exp.f64 (neg.f64 x))) (fma.f64 1/2 (.f64 eps (.f64 eps (.f64 x (.f64 x (exp.f64 (neg.f64 x)))))) (fma.f64 1/6 (.f64 (pow.f64 x 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 eps 3))) (/.f64 2 (exp.f64 x)))))
(fma.f64 eps (/.f64 x (exp.f64 x)) (fma.f64 1/2 (.f64 x (/.f64 (.f64 (.f64 eps eps) x) (exp.f64 x))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (.f64 (pow.f64 x 3) (.f64 1/6 (pow.f64 eps 3)))))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (exp.f64 (neg.f64 x)))
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(fma.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (exp.f64 (*.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)) 2) (exp.f64 (fma.f64 (-.f64 1 eps) x x)))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 (+.f64 x x))) (exp.f64 x)))
(fma.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2) (exp.f64 (fma.f64 (-.f64 1 eps) x x)))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 (+.f64 x x))) (exp.f64 x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 2) x)) (exp.f64 x)) (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2) (exp.f64 (fma.f64 x (-.f64 1 eps) x)))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (exp.f64 x)) (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2) (exp.f64 (fma.f64 x (-.f64 1 eps) x)))))
(fma.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (exp.f64 (*.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x)) 2) (exp.f64 (fma.f64 (-.f64 1 eps) x x)))) (+.f64 (exp.f64 x) (exp.f64 x)))
(fma.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2) (exp.f64 (fma.f64 (-.f64 1 eps) x x)))) (*.f64 2 (exp.f64 x)))
(+.f64 (*.f64 2 (exp.f64 x)) (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2) (exp.f64 (fma.f64 x (-.f64 1 eps) x)))))
(fma.f64 -1 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(log.f64 (/.f64 (exp.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (+.f64 1 (expm1.f64 (exp.f64 x)))))
(-.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (log1p.f64 (expm1.f64 (exp.f64 x))))
(-.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x))
(fma.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(log.f64 (/.f64 (exp.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (+.f64 1 (expm1.f64 (exp.f64 x)))))
(-.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (log1p.f64 (expm1.f64 (exp.f64 x))))
(-.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x))
(fma.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (exp.f64 x))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (exp.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 (+.f64 x x))) (exp.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (exp.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 (+.f64 x x))) (exp.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (exp.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 2) x)) (exp.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (exp.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (exp.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (exp.f64 x))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (exp.f64 x))) (*.f64 2 (exp.f64 x)))
(fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (+.f64 x x)))) (cbrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (neg.f64 (cbrt.f64 (exp.f64 x))) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 2) x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (*.f64 -1 (cbrt.f64 (exp.f64 (+.f64 x x)))) (cbrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (neg.f64 (cbrt.f64 (exp.f64 x))) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 2) x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (*.f64 -1 (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(log.f64 (/.f64 (exp.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (+.f64 1 (expm1.f64 (exp.f64 x)))))
(-.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (log1p.f64 (expm1.f64 (exp.f64 x))))
(-.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 x))

eval62.0ms (0.8%)

Compiler: Compiled 4469 to 2264 computations (49.3% saved)

prune29.0ms (0.4%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	170	4	174
Fresh	0	0	0
Picked	1	1	2
Done	0	3	3
Total	171	8	179

Accurracy

100.0%

Counts

179 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.6%	(/.f64 (/.f64 2 (exp.f64 x)) 2)
✓	55.8%	(/.f64 (-.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
✓	91.0%	(/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (.f64 eps x))))) 2)
▶	89.5%	(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (neg.f64 x))) 2)
▶	44.0%	(/.f64 (+.f64 2 (*.f64 (-.f64 eps 2) x)) 2)
▶	69.6%	(/.f64 (*.f64 2 (exp.f64 (neg.f64 x))) 2)
✓	39.9%	(/.f64 2 2)
✓	17.5%	(/.f64 0 2)
▶	69.6%	(/.f64 (/.f64 2 (exp.f64 x)) 2)
✓	55.8%	(/.f64 (-.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
✓	91.0%	(/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (.f64 eps x))))) 2)
▶	89.5%	(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (neg.f64 x))) 2)
▶	44.0%	(/.f64 (+.f64 2 (*.f64 (-.f64 eps 2) x)) 2)
▶	69.6%	(/.f64 (*.f64 2 (exp.f64 (neg.f64 x))) 2)
✓	39.9%	(/.f64 2 2)
✓	17.5%	(/.f64 0 2)

Compiler

Compiled 180 to 144 computations (20% saved)

localize132.0ms (1.6%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 2 (exp.f64 x))
✓	100.0%	(+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (neg.f64 x)))
✓	100.0%	(-.f64 (*.f64 eps x) x)

Compiler

Compiled 107 to 45 computations (57.9% saved)

series4.0ms (0%)

Counts

3 → 44

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 2 (exp.f64 x))
0.0ms	x	@	inf	(-.f64 (*.f64 eps x) x)
0.0ms	x	@	inf	(/.f64 2 (exp.f64 x))
0.0ms	x	@	-inf	(-.f64 (*.f64 eps x) x)
0.0ms	eps	@	inf	(-.f64 (*.f64 eps x) x)

rewrite89.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1256×	`log-prod`
830×	`fma-def`
624×	`pow-prod-up`
584×	`pow-exp`
480×	`expm1-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	39
1	302	39
2	4202	39

Stop Event

1×	node limit

Counts

3 → 69

Calls

Call 1

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

Outputs
-8
-4
-2
-1
-1/2
0
1/8
1/4
1/2
1
3/2
2
5/2
3
4
5
6
8
9
16
27
64
512
eps
x
-8
-4
-2
-1
-1/2
0
1/8
1/4
1/2
1
3/2
2
5/2
3
4
5
6
8
9
16
27
64
512
eps
x
-8
-4
-2
-1
-1/2
0
1/8
1/4
1/2
1
3/2
2
5/2
3
4
5
6
8
9
16
27
64
512
eps
x

simplify74.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1246×	`times-frac`
842×	`unswap-sqr`
594×	`associate-+r+`
574×	`fma-def`
570×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	1093
1	215	1059
2	590	1015
3	2548	953
4	6836	953

Stop Event

1×	node limit

Counts

113 → 77

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 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 2 (exp.f64 (neg.f64 x)))
(+.f64 (.f64 eps (.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 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 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)))) (*.f64 2 (exp.f64 (neg.f64 x))))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (-.f64 (*.f64 eps x) x)))
2
(+.f64 2 (*.f64 (-.f64 eps 2) x))
(+.f64 2 (+.f64 (.f64 (-.f64 eps 2) x) (.f64 (+.f64 1/2 (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2))) (pow.f64 x 2))))
(+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 (-.f64 eps 1) 3)) 1/6) (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 (-.f64 eps 2) x) (.f64 (+.f64 1/2 (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2))) (pow.f64 x 2)))))
(+.f64 (exp.f64 (+.f64 (.f64 eps x) (.f64 -1 x))) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 (+.f64 (.f64 eps x) (.f64 -1 x))) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 (+.f64 (.f64 eps x) (.f64 -1 x))) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 (+.f64 (.f64 eps x) (.f64 -1 x))) (exp.f64 (*.f64 -1 x)))
2
(+.f64 2 (*.f64 -2 x))
(+.f64 2 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 2 (+.f64 (.f64 -2 x) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (pow.f64 x 2))))
-8
-4
-2
-1
-1/2
0
1/8
1/4
1/2
1
3/2
2
5/2
3
4
5
6
8
9
16
27
64
512
-8
-4
-2
-1
-1/2
0
1/8
1/4
1/2
1
3/2
2
5/2
3
4
5
6
8
9
16
27
64
512
-8
-4
-2
-1
-1/2
0
1/8
1/4
1/2
1
3/2
2
5/2
3
4
5
6
8
9
16
27
64
512

Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 eps x) (.f64 -1 x))
(-.f64 (*.f64 x eps) x)
(*.f64 x (+.f64 -1 eps))
(+.f64 (.f64 eps x) (.f64 -1 x))
(-.f64 (*.f64 x eps) x)
(*.f64 x (+.f64 -1 eps))
(+.f64 (.f64 eps x) (.f64 -1 x))
(-.f64 (*.f64 x eps) x)
(*.f64 x (+.f64 -1 eps))
(*.f64 eps x)
(*.f64 x eps)
(+.f64 (.f64 eps x) (.f64 -1 x))
(-.f64 (*.f64 x eps) x)
(*.f64 x (+.f64 -1 eps))
(+.f64 (.f64 eps x) (.f64 -1 x))
(-.f64 (*.f64 x eps) x)
(*.f64 x (+.f64 -1 eps))
(+.f64 (.f64 eps x) (.f64 -1 x))
(-.f64 (*.f64 x eps) x)
(*.f64 x (+.f64 -1 eps))
(*.f64 eps x)
(*.f64 x eps)
(+.f64 (.f64 eps x) (.f64 -1 x))
(-.f64 (*.f64 x eps) x)
(*.f64 x (+.f64 -1 eps))
(+.f64 (.f64 eps x) (.f64 -1 x))
(-.f64 (*.f64 x eps) x)
(*.f64 x (+.f64 -1 eps))
(+.f64 (.f64 eps x) (.f64 -1 x))
(-.f64 (*.f64 x eps) x)
(*.f64 x (+.f64 -1 eps))
(*.f64 (-.f64 eps 1) x)
(-.f64 (*.f64 x eps) x)
(*.f64 x (+.f64 -1 eps))
(*.f64 (-.f64 eps 1) x)
(-.f64 (*.f64 x eps) x)
(*.f64 x (+.f64 -1 eps))
(*.f64 (-.f64 eps 1) x)
(-.f64 (*.f64 x eps) x)
(*.f64 x (+.f64 -1 eps))
(*.f64 (-.f64 eps 1) x)
(-.f64 (*.f64 x eps) x)
(*.f64 x (+.f64 -1 eps))
(*.f64 (-.f64 eps 1) x)
(-.f64 (*.f64 x eps) x)
(*.f64 x (+.f64 -1 eps))
(*.f64 (-.f64 eps 1) x)
(-.f64 (*.f64 x eps) x)
(*.f64 x (+.f64 -1 eps))
(*.f64 (-.f64 eps 1) x)
(-.f64 (*.f64 x eps) x)
(*.f64 x (+.f64 -1 eps))
(*.f64 (-.f64 eps 1) x)
(-.f64 (*.f64 x eps) x)
(*.f64 x (+.f64 -1 eps))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 eps)) x))
(-.f64 (*.f64 x eps) x)
(*.f64 x (+.f64 -1 eps))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 eps)) x))
(-.f64 (*.f64 x eps) x)
(*.f64 x (+.f64 -1 eps))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 eps)) x))
(-.f64 (*.f64 x eps) x)
(*.f64 x (+.f64 -1 eps))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 eps)) x))
(-.f64 (*.f64 x eps) x)
(*.f64 x (+.f64 -1 eps))
(*.f64 2 (exp.f64 (neg.f64 x)))
(/.f64 2 (exp.f64 x))
(+.f64 (.f64 eps (.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 eps (.f64 x (exp.f64 (neg.f64 x))) (.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (/.f64 2 (exp.f64 x)))
(.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (.f64 x eps)))
(.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 x eps) 2))
(+.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 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))) (.f64 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))) (/.f64 2 (exp.f64 x))))
(fma.f64 (.f64 eps eps) (.f64 1/2 (/.f64 (.f64 x x) (exp.f64 x))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (*.f64 x eps))))
(.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (.f64 x (+.f64 eps (.f64 (.f64 eps (*.f64 eps 1/2)) 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)))) (*.f64 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))) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (.f64 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))) (fma.f64 1/6 (.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) (pow.f64 eps 3))) (/.f64 2 (exp.f64 x)))))
(fma.f64 x (/.f64 eps (exp.f64 x)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (/.f64 (pow.f64 x 3) (exp.f64 x))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (.f64 1/2 (.f64 (.f64 x eps) (.f64 x eps)))))))
(.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 (.f64 x eps) 2) (.f64 (.f64 x x) (+.f64 (.f64 eps (.f64 eps 1/2)) (.f64 (.f64 1/6 (pow.f64 eps 3)) x)))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) eps)) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) eps)) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) eps)) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) eps)) (exp.f64 x))
2
(+.f64 2 (*.f64 (-.f64 eps 2) x))
(+.f64 2 (*.f64 x (+.f64 eps -2)))
(fma.f64 x (+.f64 eps -2) 2)
(+.f64 2 (+.f64 (.f64 (-.f64 eps 2) x) (.f64 (+.f64 1/2 (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2))) (pow.f64 x 2))))
(+.f64 2 (fma.f64 (+.f64 eps -2) x (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/2 (pow.f64 (+.f64 eps -1) 2))))))
(+.f64 2 (fma.f64 x (+.f64 eps -2) (.f64 (.f64 x x) (fma.f64 1/2 (pow.f64 (+.f64 -1 eps) 2) 1/2))))
(fma.f64 x (+.f64 eps -2) (fma.f64 x (*.f64 x (fma.f64 1/2 (pow.f64 (+.f64 -1 eps) 2) 1/2)) 2))
(+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 (-.f64 eps 1) 3)) 1/6) (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 (-.f64 eps 2) x) (.f64 (+.f64 1/2 (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2))) (pow.f64 x 2)))))
(fma.f64 (fma.f64 1/6 (pow.f64 (+.f64 eps -1) 3) -1/6) (pow.f64 x 3) (+.f64 2 (fma.f64 (+.f64 eps -2) x (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/2 (pow.f64 (+.f64 eps -1) 2)))))))
(+.f64 (fma.f64 x (+.f64 eps -2) (.f64 (.f64 x x) (fma.f64 1/2 (pow.f64 (+.f64 -1 eps) 2) 1/2))) (fma.f64 (pow.f64 x 3) (fma.f64 1/6 (pow.f64 (+.f64 -1 eps) 3) -1/6) 2))
(fma.f64 (pow.f64 x 3) (fma.f64 1/6 (pow.f64 (+.f64 -1 eps) 3) -1/6) (fma.f64 x (+.f64 eps -2) (fma.f64 x (*.f64 x (fma.f64 1/2 (pow.f64 (+.f64 -1 eps) 2) 1/2)) 2)))
(+.f64 (exp.f64 (+.f64 (.f64 eps x) (.f64 -1 x))) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) eps)) (exp.f64 x))
(+.f64 (exp.f64 (+.f64 (.f64 eps x) (.f64 -1 x))) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) eps)) (exp.f64 x))
(+.f64 (exp.f64 (+.f64 (.f64 eps x) (.f64 -1 x))) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) eps)) (exp.f64 x))
(+.f64 (exp.f64 (+.f64 (.f64 eps x) (.f64 -1 x))) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) eps)) (exp.f64 x))
2
(+.f64 2 (*.f64 -2 x))
(+.f64 2 (*.f64 x -2))
(fma.f64 x -2 2)
(+.f64 2 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 2 (fma.f64 -2 x (*.f64 x x)))
(+.f64 2 (*.f64 x (+.f64 x -2)))
(fma.f64 x (+.f64 x -2) 2)
(+.f64 2 (+.f64 (.f64 -2 x) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (pow.f64 x 2))))
(+.f64 2 (fma.f64 -2 x (fma.f64 -1/3 (pow.f64 x 3) (*.f64 x x))))
(+.f64 2 (fma.f64 x -2 (fma.f64 x x (*.f64 (pow.f64 x 3) -1/3))))
(+.f64 2 (fma.f64 x (+.f64 x -2) (*.f64 (pow.f64 x 3) -1/3)))
(+.f64 2 (fma.f64 (pow.f64 x 3) -1/3 (*.f64 x (+.f64 x -2))))
-8
-4
-2
-1
-1/2
0
1/8
1/4
1/2
1
3/2
2
5/2
3
4
5
6
8
9
16
27
64
512
-8
-4
-2
-1
-1/2
0
1/8
1/4
1/2
1
3/2
2
5/2
3
4
5
6
8
9
16
27
64
512
-8
-4
-2
-1
-1/2
0
1/8
1/4
1/2
1
3/2
2
5/2
3
4
5
6
8
9
16
27
64
512

eval28.0ms (0.4%)

Compiler: Compiled 1116 to 674 computations (39.6% saved)

prune58.0ms (0.7%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	72	5	77
Fresh	0	0	0
Picked	2	2	4
Done	0	4	4
Total	74	11	85

Accurracy

100.0%

Counts

85 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.6%	(/.f64 (/.f64 2 (exp.f64 x)) 2)
✓	55.8%	(/.f64 (-.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
✓	91.0%	(/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (.f64 eps x))))) 2)
	74.2%	(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 x))) 2)
	18.8%	(/.f64 (+.f64 (exp.f64 512) (exp.f64 (neg.f64 x))) 2)
✓	44.0%	(/.f64 (+.f64 2 (*.f64 (-.f64 eps 2) x)) 2)
	55.1%	(/.f64 (+.f64 2 (*.f64 x (+.f64 x -2))) 2)
	39.8%	(/.f64 (+.f64 2 (*.f64 x -2)) 2)
	75.7%	(/.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (.f64 x (+.f64 eps (.f64 (.f64 eps (*.f64 eps 1/2)) x))))) 2)
✓	39.9%	(/.f64 2 2)
✓	17.5%	(/.f64 0 2)

Compiler

Compiled 374 to 276 computations (26.2% saved)

regimes30.0ms (0.4%)

Counts

18 → 1

Calls

Call 1

Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (+.f64 2 (*.f64 x -2)) 2)
(/.f64 (+.f64 2 (*.f64 x (+.f64 x -2))) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 eps 2) x)) 2)
(/.f64 (/.f64 2 (exp.f64 x)) 2)
(/.f64 (*.f64 2 (exp.f64 (neg.f64 x))) 2)
(/.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (.f64 x (+.f64 eps (.f64 (.f64 eps (*.f64 eps 1/2)) x))))) 2)
(/.f64 (+.f64 (exp.f64 512) (exp.f64 (neg.f64 x))) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 x))) 2)
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (neg.f64 x))) 2)
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 x)))) 2)
(/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (.f64 eps x))))) 2)
(/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
(/.f64 (-.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 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)
(/.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 (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)

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

Calls

4 calls:

10.0ms	eps
8.0ms	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)

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`eps`
98.5%	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)`
98.5%	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 310 to 224 computations (27.7% saved)

regimes30.0ms (0.4%)

Counts

13 → 2

Calls

Call 1

Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (+.f64 2 (*.f64 x -2)) 2)
(/.f64 (+.f64 2 (*.f64 x (+.f64 x -2))) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 eps 2) x)) 2)
(/.f64 (/.f64 2 (exp.f64 x)) 2)
(/.f64 (*.f64 2 (exp.f64 (neg.f64 x))) 2)
(/.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (.f64 x (+.f64 eps (.f64 (.f64 eps (*.f64 eps 1/2)) x))))) 2)
(/.f64 (+.f64 (exp.f64 512) (exp.f64 (neg.f64 x))) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 x))) 2)
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (neg.f64 x))) 2)
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 x)))) 2)
(/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (.f64 eps x))))) 2)

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

Calls

2 calls:

13.0ms	x
13.0ms	eps

Results

Accuracy	Segments	Branch
98.6%	2	`x`
98.5%	2	`eps`

Compiler

Compiled 131 to 90 computations (31.3% saved)

regimes34.0ms (0.4%)

Counts

12 → 2

Calls

Call 1

Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (+.f64 2 (*.f64 x -2)) 2)
(/.f64 (+.f64 2 (*.f64 x (+.f64 x -2))) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 eps 2) x)) 2)
(/.f64 (/.f64 2 (exp.f64 x)) 2)
(/.f64 (*.f64 2 (exp.f64 (neg.f64 x))) 2)
(/.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (.f64 x (+.f64 eps (.f64 (.f64 eps (*.f64 eps 1/2)) x))))) 2)
(/.f64 (+.f64 (exp.f64 512) (exp.f64 (neg.f64 x))) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 x))) 2)
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (neg.f64 x))) 2)
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 x)))) 2)

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

Calls

2 calls:

18.0ms	eps
13.0ms	x

Results

Accuracy	Segments	Branch
91.5%	3	`eps`
95.5%	2	`x`

Compiler

Compiled 115 to 79 computations (31.3% saved)

regimes100.0ms (1.2%)

Counts

10 → 4

Calls

Call 1

Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (+.f64 2 (*.f64 x -2)) 2)
(/.f64 (+.f64 2 (*.f64 x (+.f64 x -2))) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 eps 2) x)) 2)
(/.f64 (/.f64 2 (exp.f64 x)) 2)
(/.f64 (*.f64 2 (exp.f64 (neg.f64 x))) 2)
(/.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (.f64 x (+.f64 eps (.f64 (.f64 eps (*.f64 eps 1/2)) x))))) 2)
(/.f64 (+.f64 (exp.f64 512) (exp.f64 (neg.f64 x))) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 x))) 2)

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

Calls

2 calls:

76.0ms	x
21.0ms	eps

Results

Accuracy	Segments	Branch
91.5%	4	`eps`
87.9%	7	`x`

Compiler

Compiled 89 to 64 computations (28.1% saved)

regimes55.0ms (0.7%)

Counts

9 → 4

Calls

Call 1

Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (+.f64 2 (*.f64 x -2)) 2)
(/.f64 (+.f64 2 (*.f64 x (+.f64 x -2))) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 eps 2) x)) 2)
(/.f64 (/.f64 2 (exp.f64 x)) 2)
(/.f64 (*.f64 2 (exp.f64 (neg.f64 x))) 2)
(/.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (.f64 x (+.f64 eps (.f64 (.f64 eps (*.f64 eps 1/2)) x))))) 2)
(/.f64 (+.f64 (exp.f64 512) (exp.f64 (neg.f64 x))) 2)

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

Calls

2 calls:

33.0ms	x
20.0ms	eps

Results

Accuracy	Segments	Branch
83.2%	6	`x`
82.1%	4	`eps`

Compiler

Compiled 79 to 59 computations (25.3% saved)

regimes69.0ms (0.9%)

Counts

7 → 3

Calls

Call 1

Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (+.f64 2 (*.f64 x -2)) 2)
(/.f64 (+.f64 2 (*.f64 x (+.f64 x -2))) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 eps 2) x)) 2)
(/.f64 (/.f64 2 (exp.f64 x)) 2)
(/.f64 (*.f64 2 (exp.f64 (neg.f64 x))) 2)

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

Calls

2 calls:

54.0ms	eps
13.0ms	x

Results

Accuracy	Segments	Branch
71.9%	3	`x`
71.9%	3	`eps`

Compiler

Compiled 52 to 43 computations (17.3% saved)

regimes27.0ms (0.3%)

Counts

5 → 4

Calls

Call 1

Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (+.f64 2 (*.f64 x -2)) 2)
(/.f64 (+.f64 2 (*.f64 x (+.f64 x -2))) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 eps 2) x)) 2)

Outputs
(/.f64 (+.f64 2 (*.f64 x (+.f64 x -2))) 2)
(/.f64 0 2)
(/.f64 (+.f64 2 (*.f64 x (+.f64 x -2))) 2)
(/.f64 0 2)

Calls

2 calls:

15.0ms	x
11.0ms	eps

Results

Accuracy	Segments	Branch
66.3%	4	`x`
57.6%	3	`eps`

Compiler

Compiled 39 to 32 computations (17.9% saved)

regimes16.0ms (0.2%)

Counts

3 → 2

Calls

Call 1

Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (+.f64 2 (*.f64 x -2)) 2)

Outputs
(/.f64 (+.f64 2 (*.f64 x -2)) 2)
(/.f64 0 2)

Calls

2 calls:

9.0ms	eps
7.0ms	x

Results

Accuracy	Segments	Branch
42.2%	3	`eps`
55.2%	2	`x`

Compiler

Compiled 21 to 18 computations (14.3% saved)

regimes6.0ms (0.1%)

Counts

2 → 2

Calls

Call 1

Inputs
(/.f64 0 2)
(/.f64 2 2)

Outputs
(/.f64 2 2)
(/.f64 0 2)

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
54.8%	2	`x`

Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes14.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 0 2)

Outputs
(/.f64 0 2)

Calls

2 calls:

11.0ms	x
2.0ms	eps

Results

Accuracy	Segments	Branch
17.5%	1	`eps`
17.5%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch9.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
9.0ms	8.033500666229407e-25	7.317827406405568e-22

Results

5.0ms	10×	body	1024	valid
3.0ms	18×	body	256	infinite
1.0ms	3×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 104 to 81 computations (22.1% saved)

bsearch48.0ms (0.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
48.0ms	-1.3569511233936847e-223	-1.9457869787129588e-234

Results

23.0ms	31×	body	1024	valid
13.0ms	80×	body	256	valid
6.0ms	24×	body	512	valid
4.0ms	25×	body	256	infinite

Compiler

Compiled 406 to 299 computations (26.4% saved)

bsearch54.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	9.715336110183277e+269	3.8058042023944034e+270
17.0ms	2.2429897505176801e+235	7.451789097230362e+235
24.0ms	5.565450469048452e-23	3.496225467740097e-20

Results

26.0ms	148×	body	256	infinite
22.0ms	140×	body	256	valid
3.0ms	21×	body	256	unsamplable

Compiler

Compiled 562 to 433 computations (23% saved)

bsearch58.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	9.3082087573211e+173	3.3712630850866994e+176
19.0ms	9.906328767881834e+81	1.304877439504084e+83
16.0ms	3311133191828.779	21308846738928.484

Results

27.0ms	178×	body	256	infinite
26.0ms	142×	body	256	valid

Compiler

Compiled 536 to 437 computations (18.5% saved)

bsearch74.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
56.0ms	9.906328767881834e+81	1.304877439504084e+83
18.0ms	3311133191828.779	21308846738928.484

Results

55.0ms	96×	body	256	infinite
17.0ms	96×	body	256	valid

Compiler

Compiled 288 to 245 computations (14.9% saved)

bsearch59.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.3343643430926688e+300	8.4959212919906e+301
25.0ms	1.7129160139609053e+260	4.0961211020823685e+265
17.0ms	1137.1884847659942	13252.697119269225

Results

36.0ms	221×	body	256	infinite
19.0ms	115×	body	256	valid

Compiler

Compiled 414 to 365 computations (11.8% saved)

bsearch43.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
43.0ms	4.704255578097855e-18	1137.1884847659942

Results

18.0ms	118×	body	256	infinite
17.0ms	36×	body	1024	valid
3.0ms	11×	body	512	valid
2.0ms	11×	body	256	valid

Compiler

Compiled 212 to 194 computations (8.5% saved)

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1137.1884847659942	13252.697119269225

Results

9.0ms	57×	body	256	infinite
6.0ms	38×	body	256	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 108 to 101 computations (6.5% saved)

simplify51.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

196×	`distribute-lft-neg-in`
152×	`neg-mul-1`
114×	`unsub-neg`
114×	`neg-sub0`
100×	`cancel-sign-sub`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	102	726
1	160	706
2	210	706
3	259	690
4	319	690
5	430	690
6	510	690
7	580	690
8	675	690
9	733	690
10	773	690
11	795	690
12	802	690
13	803	690

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
(if (<=.f64 x 6805647338418769/170141183460469231731687303715884105728) (/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (.f64 eps x))))) 2) (/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (neg.f64 x))) 2))
(if (<=.f64 x -5593535921577141/3495959950985713037648777335653666807949431051290362857597833215614143555340930683513828645730545455985029236965209926766894148041634933679253543217964426223207137977048243664827490388364133151397099610379851714779776678907072458937421726941708288) (/.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (.f64 x (+.f64 eps (.f64 (.f64 eps (.f64 eps 1/2)) x))))) 2) (/.f64 (+.f64 (exp.f64 (-.f64 (.f64 eps x) x)) (exp.f64 (neg.f64 x))) 2))
(if (<=.f64 eps 1412304745521473/41538374868278621028243970633760768) (/.f64 (/.f64 2 (exp.f64 x)) 2) (if (<=.f64 eps 71999999999999997050319914811772737885582819650657854964920817062929959720338958210618838030838595570887785720498094346378366009112394520390905879316808633608506614492135753862927585364573709890578365258921399546903243150903712916963328) (/.f64 (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (neg.f64 x))) 2) (if (<=.f64 eps 2000000000000000093507637770912255978379210862660820573682729745488032878789111789220736516360606673878153776268089900578652336369324860662948626554833959632774778559729275871173995040476704622045320156587457342770385866522124606869505276053562755097483935769278566891520) (/.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (.f64 x (+.f64 eps (.f64 (.f64 eps (.f64 eps 1/2)) x))))) 2) (/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 x))) 2))))
(if (<=.f64 eps 3700000000000) (/.f64 (/.f64 2 (exp.f64 x)) 2) (if (<=.f64 eps 109999999999999999344740955333582290654675461355463079935127055095269511654923042816) (/.f64 (+.f64 2 (.f64 x (+.f64 x -2))) 2) (if (<=.f64 eps 9199999999999999140629650494549489046592786224731257233833680730305981065673071823234721849145571684055742035018129458639086173098165294122728363072570086443281901802275995648) (/.f64 (/.f64 2 (exp.f64 x)) 2) (/.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (.f64 x (+.f64 eps (.f64 (.f64 eps (.f64 eps 1/2)) x))))) 2))))
(if (<=.f64 eps 8200000000000) (/.f64 (/.f64 2 (exp.f64 x)) 2) (if (<=.f64 eps 18500000000000001176522069783746648173757502199355709230862352160004468103727546368) (/.f64 (+.f64 2 (*.f64 x (+.f64 x -2))) 2) (/.f64 (/.f64 2 (exp.f64 x)) 2)))
(if (<=.f64 x 1150) (/.f64 (+.f64 2 (.f64 x (+.f64 x -2))) 2) (if (<=.f64 x 174999999999999987535422091064182568953429381142025907140561759122757266687042311451355609752199198377433018209670823616950651295387696449256275012891713985993349530630515818891437786982561446792135538254291125840995530745591568327240124938435699919061610659840) (/.f64 0 2) (if (<=.f64 x 80000000000000004200380820416353619896357486488652732393268329240944196639112655662909710006435829123496355506630710254155401858828834446051583374782936558627870976074126064299026418703583047204749516258797663995606489523117411270405972219422411399566340703105604547427049253557775710949236752043212800) (/.f64 (+.f64 2 (.f64 x (+.f64 x -2))) 2) (/.f64 0 2))))
(if (<=.f64 x 1) (/.f64 (+.f64 2 (*.f64 x -2)) 2) (/.f64 0 2))
(if (<=.f64 x 1150) (/.f64 2 2) (/.f64 0 2))
(/.f64 0 2)

Outputs
(/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
(/.f64 (-.f64 (exp.f64 (.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (.f64 (neg.f64 x) (+.f64 1 eps))))) 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 (-.f64 1 eps) (neg.f64 x))) (exp.f64 (.f64 x (-.f64 (neg.f64 eps) 1)))) 2)
(/.f64 (+.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (exp.f64 (.f64 x (-.f64 -1 eps)))) 2)
(if (<=.f64 x 6805647338418769/170141183460469231731687303715884105728) (/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (.f64 eps x))))) 2) (/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (neg.f64 x))) 2))
(if (<=.f64 x 6805647338418769/170141183460469231731687303715884105728) (/.f64 (-.f64 (exp.f64 (.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (.f64 eps (neg.f64 x))))) 2) (/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 x))) 2))
(if (<=.f64 x 6805647338418769/170141183460469231731687303715884105728) (/.f64 (+.f64 (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x))) (exp.f64 (.f64 x (neg.f64 eps)))) 2) (/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 x))) 2))
(if (<=.f64 x 6805647338418769/170141183460469231731687303715884105728) (/.f64 (+.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (exp.f64 (.f64 x (neg.f64 eps)))) 2) (/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 x))) 2))
(if (<=.f64 x -5593535921577141/3495959950985713037648777335653666807949431051290362857597833215614143555340930683513828645730545455985029236965209926766894148041634933679253543217964426223207137977048243664827490388364133151397099610379851714779776678907072458937421726941708288) (/.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (.f64 x (+.f64 eps (.f64 (.f64 eps (.f64 eps 1/2)) x))))) 2) (/.f64 (+.f64 (exp.f64 (-.f64 (.f64 eps x) x)) (exp.f64 (neg.f64 x))) 2))
(if (<=.f64 x -5593535921577141/3495959950985713037648777335653666807949431051290362857597833215614143555340930683513828645730545455985029236965209926766894148041634933679253543217964426223207137977048243664827490388364133151397099610379851714779776678907072458937421726941708288) (/.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (.f64 x (+.f64 eps (.f64 x (.f64 eps (.f64 eps 1/2))))))) 2) (/.f64 (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (neg.f64 x))) 2))
(if (<=.f64 eps 1412304745521473/41538374868278621028243970633760768) (/.f64 (/.f64 2 (exp.f64 x)) 2) (if (<=.f64 eps 71999999999999997050319914811772737885582819650657854964920817062929959720338958210618838030838595570887785720498094346378366009112394520390905879316808633608506614492135753862927585364573709890578365258921399546903243150903712916963328) (/.f64 (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (neg.f64 x))) 2) (if (<=.f64 eps 2000000000000000093507637770912255978379210862660820573682729745488032878789111789220736516360606673878153776268089900578652336369324860662948626554833959632774778559729275871173995040476704622045320156587457342770385866522124606869505276053562755097483935769278566891520) (/.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (.f64 x (+.f64 eps (.f64 (.f64 eps (.f64 eps 1/2)) x))))) 2) (/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 x))) 2))))
(if (<=.f64 eps 1412304745521473/41538374868278621028243970633760768) (/.f64 (/.f64 2 (exp.f64 x)) 2) (if (or (<=.f64 eps 71999999999999997050319914811772737885582819650657854964920817062929959720338958210618838030838595570887785720498094346378366009112394520390905879316808633608506614492135753862927585364573709890578365258921399546903243150903712916963328) (not (<=.f64 eps 2000000000000000093507637770912255978379210862660820573682729745488032878789111789220736516360606673878153776268089900578652336369324860662948626554833959632774778559729275871173995040476704622045320156587457342770385866522124606869505276053562755097483935769278566891520))) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (.f64 x eps))) 2) (/.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (.f64 x (+.f64 eps (.f64 x (.f64 eps (.f64 eps 1/2))))))) 2)))
(if (<=.f64 eps 3700000000000) (/.f64 (/.f64 2 (exp.f64 x)) 2) (if (<=.f64 eps 109999999999999999344740955333582290654675461355463079935127055095269511654923042816) (/.f64 (+.f64 2 (.f64 x (+.f64 x -2))) 2) (if (<=.f64 eps 9199999999999999140629650494549489046592786224731257233833680730305981065673071823234721849145571684055742035018129458639086173098165294122728363072570086443281901802275995648) (/.f64 (/.f64 2 (exp.f64 x)) 2) (/.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (.f64 x (+.f64 eps (.f64 (.f64 eps (.f64 eps 1/2)) x))))) 2))))
(if (<=.f64 eps 3700000000000) (/.f64 (/.f64 2 (exp.f64 x)) 2) (if (<=.f64 eps 109999999999999999344740955333582290654675461355463079935127055095269511654923042816) (/.f64 (+.f64 2 (.f64 x (+.f64 x -2))) 2) (if (<=.f64 eps 9199999999999999140629650494549489046592786224731257233833680730305981065673071823234721849145571684055742035018129458639086173098165294122728363072570086443281901802275995648) (/.f64 (/.f64 2 (exp.f64 x)) 2) (/.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (.f64 x (+.f64 eps (.f64 x (.f64 eps (.f64 eps 1/2))))))) 2))))
(if (<=.f64 eps 8200000000000) (/.f64 (/.f64 2 (exp.f64 x)) 2) (if (<=.f64 eps 18500000000000001176522069783746648173757502199355709230862352160004468103727546368) (/.f64 (+.f64 2 (*.f64 x (+.f64 x -2))) 2) (/.f64 (/.f64 2 (exp.f64 x)) 2)))
(if (or (<=.f64 eps 8200000000000) (not (<=.f64 eps 18500000000000001176522069783746648173757502199355709230862352160004468103727546368))) (/.f64 (/.f64 2 (exp.f64 x)) 2) (/.f64 (+.f64 2 (*.f64 x (+.f64 x -2))) 2))
(if (<=.f64 x 1150) (/.f64 (+.f64 2 (.f64 x (+.f64 x -2))) 2) (if (<=.f64 x 174999999999999987535422091064182568953429381142025907140561759122757266687042311451355609752199198377433018209670823616950651295387696449256275012891713985993349530630515818891437786982561446792135538254291125840995530745591568327240124938435699919061610659840) (/.f64 0 2) (if (<=.f64 x 80000000000000004200380820416353619896357486488652732393268329240944196639112655662909710006435829123496355506630710254155401858828834446051583374782936558627870976074126064299026418703583047204749516258797663995606489523117411270405972219422411399566340703105604547427049253557775710949236752043212800) (/.f64 (+.f64 2 (.f64 x (+.f64 x -2))) 2) (/.f64 0 2))))
(if (<=.f64 x 1150) (/.f64 (+.f64 2 (.f64 x (+.f64 x -2))) 2) (if (<=.f64 x 174999999999999987535422091064182568953429381142025907140561759122757266687042311451355609752199198377433018209670823616950651295387696449256275012891713985993349530630515818891437786982561446792135538254291125840995530745591568327240124938435699919061610659840) 0 (if (<=.f64 x 80000000000000004200380820416353619896357486488652732393268329240944196639112655662909710006435829123496355506630710254155401858828834446051583374782936558627870976074126064299026418703583047204749516258797663995606489523117411270405972219422411399566340703105604547427049253557775710949236752043212800) (/.f64 (+.f64 2 (.f64 x (+.f64 x -2))) 2) 0)))
(if (or (<=.f64 x 1150) (not (or (<=.f64 x 174999999999999987535422091064182568953429381142025907140561759122757266687042311451355609752199198377433018209670823616950651295387696449256275012891713985993349530630515818891437786982561446792135538254291125840995530745591568327240124938435699919061610659840) (not (<=.f64 x 80000000000000004200380820416353619896357486488652732393268329240944196639112655662909710006435829123496355506630710254155401858828834446051583374782936558627870976074126064299026418703583047204749516258797663995606489523117411270405972219422411399566340703105604547427049253557775710949236752043212800))))) (/.f64 (+.f64 2 (*.f64 x (+.f64 x -2))) 2) 0)
(if (or (<=.f64 x 1150) (and (not (<=.f64 x 174999999999999987535422091064182568953429381142025907140561759122757266687042311451355609752199198377433018209670823616950651295387696449256275012891713985993349530630515818891437786982561446792135538254291125840995530745591568327240124938435699919061610659840)) (<=.f64 x 80000000000000004200380820416353619896357486488652732393268329240944196639112655662909710006435829123496355506630710254155401858828834446051583374782936558627870976074126064299026418703583047204749516258797663995606489523117411270405972219422411399566340703105604547427049253557775710949236752043212800))) (/.f64 (+.f64 2 (*.f64 x (+.f64 x -2))) 2) 0)
(if (<=.f64 x 1) (/.f64 (+.f64 2 (*.f64 x -2)) 2) (/.f64 0 2))
(if (<=.f64 x 1) (/.f64 (+.f64 2 (*.f64 x -2)) 2) 0)
(if (<=.f64 x 1150) (/.f64 2 2) (/.f64 0 2))
(if (<=.f64 x 1150) 1 0)
(/.f64 0 2)
0

Compiler

Compiled 266 to 198 computations (25.6% saved)

soundness1.1s (13.8%)

Rules

1578×	`fma-neg`
1578×	`fma-neg`
1500×	`times-frac`
1500×	`times-frac`
1246×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	89
1	60	89
2	162	73
3	554	73
4	1734	73
0	466	15480
1	1489	13396
2	5783	12964
0	22	89
1	60	89
2	162	73
3	554	73
4	1734	73
0	466	15480
1	1489	13396
2	5783	12964
0	292	7370
1	742	6604
2	2057	5690
3	7181	5690
0	88	1093
1	215	1059
2	590	1015
3	2548	953
4	6836	953
0	88	1093
1	215	1059
2	590	1015
3	2548	953
4	6836	953
0	88	1093
1	215	1059
2	590	1015
3	2548	953
4	6836	953
0	88	1093
1	215	1059
2	590	1015
3	2548	953
4	6836	953

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 982 to 692 computations (29.5% saved)

end0.0ms (0%)

preprocess170.0ms (2.1%)

Compiler: Compiled 622 to 430 computations (30.9% saved)

Iter	Nodes	Cost
0	102	726
1	160	706
2	210	706
3	259	690
4	319	690
5	430	690
6	510	690
7	580	690
8	675	690
9	733	690
10	773	690
11	795	690
12	802	690
13	803	690

Iter	Nodes	Cost
0	102	726
1	160	706
2	210	706
3	259	690
4	319	690
5	430	690
6	510	690
7	580	690
8	675	690
9	733	690
10	773	690
11	795	690
12	802	690
13	803	690

analyze29.0ms (0.4%)

sample2.4s (30%)

preprocess71.0ms (0.9%)

simplify32.0ms (0.4%)

eval3.0ms (0%)

prune3.0ms (0%)

localize1.8s (22.6%)

series24.0ms (0.3%)

rewrite68.0ms (0.8%)

simplify150.0ms (1.9%)

eval231.0ms (2.9%)

prune33.0ms (0.4%)

localize139.0ms (1.7%)

series5.0ms (0.1%)

rewrite64.0ms (0.8%)

simplify68.0ms (0.8%)

eval13.0ms (0.2%)

prune8.0ms (0.1%)

localize123.0ms (1.5%)

series2.0ms (0%)

rewrite77.0ms (1%)

simplify122.0ms (1.5%)

eval62.0ms (0.8%)

prune29.0ms (0.4%)

localize132.0ms (1.6%)

series4.0ms (0%)

rewrite89.0ms (1.1%)

simplify74.0ms (0.9%)

eval28.0ms (0.4%)

prune58.0ms (0.7%)

regimes30.0ms (0.4%)

regimes30.0ms (0.4%)

regimes34.0ms (0.4%)

regimes100.0ms (1.2%)

regimes55.0ms (0.7%)

regimes69.0ms (0.9%)

regimes27.0ms (0.3%)

regimes16.0ms (0.2%)

regimes6.0ms (0.1%)

regimes14.0ms (0.2%)

bsearch9.0ms (0.1%)

bsearch48.0ms (0.6%)

bsearch54.0ms (0.7%)

bsearch58.0ms (0.7%)

bsearch74.0ms (0.9%)

bsearch59.0ms (0.7%)

bsearch43.0ms (0.5%)

bsearch17.0ms (0.2%)

simplify51.0ms (0.6%)

soundness1.1s (13.8%)

end0.0ms (0%)

preprocess170.0ms (2.1%)

Profiling

Iter	Nodes	Cost
0	102	726
1	160	706
2	210	706
3	259	690
4	319	690
5	430	690
6	510	690
7	580	690
8	675	690
9	733	690
10	773	690
11	795	690
12	802	690
13	803	690