Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	75%	0%	0%	25%	0%	3
40%	25%	37.5%	0%	0%	37.5%	0%	4
66.7%	37.5%	18.7%	0%	0%	43.7%	0%	5
82.4%	43.7%	9.4%	0%	0%	46.9%	0%	6
90.9%	46.9%	4.7%	0%	0%	48.4%	0%	7
95.4%	48.4%	2.3%	0%	0%	49.2%	0%	8
97.7%	49.2%	1.2%	0%	0%	49.6%	0%	9
98.8%	49.6%	0.6%	0%	0%	49.8%	0%	10
99.4%	49.8%	0.3%	0%	0%	49.9%	0%	11
99.7%	49.9%	0.1%	0%	0%	49.9%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample3.2s (63%)

Results

2.1s	4181×	body	1024	valid
559.0ms	2096×	body	512	valid
281.0ms	415×	body	2048	valid
213.0ms	1564×	body	256	valid
1.0ms	8×	body	256	invalid

Bogosity

preprocess271.0ms (5.4%)

Algorithm

2×	egg-herbie

Rules

3044×	`fma-def`
1338×	`distribute-lft-in`
944×	`fma-neg`
932×	`sub-neg`
644×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	20	19
2	30	19
3	44	19
4	74	19
5	106	19
6	163	19
7	296	19
8	602	19
9	1053	19
10	1462	19
11	2037	19
12	2865	19
13	4066	19
14	4900	19
15	4996	19
16	5028	19
17	5028	19
18	6533	19
19	7165	19
20	7243	19
21	7251	19
22	7259	19
23	7259	19
24	7459	19
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

Outputs
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify271.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

3044×	`fma-def`
1338×	`distribute-lft-in`
944×	`fma-neg`
932×	`sub-neg`
644×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	20	19
2	30	19
3	44	19
4	74	19
5	106	19
6	163	19
7	296	19
8	602	19
9	1053	19
10	1462	19
11	2037	19
12	2865	19
13	4066	19
14	4900	19
15	4996	19
16	5028	19
17	5028	19
18	6533	19
19	7165	19
20	7243	19
21	7251	19
22	7259	19
23	7259	19
24	7459	19

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

Outputs
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))

eval1.0ms (0%)

Compiler: Compiled 15 to 11 computations (26.7% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Accurracy

100.0%

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
▶	8.1%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

Compiler

Compiled 16 to 12 computations (25% saved)

localize104.0ms (2.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
✓	8.1%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

Compiler

Compiled 25 to 18 computations (28% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
0.0ms	eps	@	inf	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
0.0ms	eps	@	-inf	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
0.0ms	eps	@	inf	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
0.0ms	eps	@	0	(/.f64 (-.f64 1 eps) (+.f64 1 eps))

rewrite91.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

924×	`log-prod`
624×	`prod-diff`
546×	`prod-exp`
528×	`pow-prod-down`
434×	`pow-prod-up`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	42
1	190	38
2	2601	38

Stop Event

1×	node limit

Counts

2 → 214

Calls

Call 1

Inputs
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(/.f64 (-.f64 1 eps) (+.f64 1 eps))

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

simplify144.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1274×	`times-frac`
954×	`fma-neg`
546×	`log-prod`
526×	`fma-def`
500×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	648	14518
1	1666	11814
2	5582	10954

Stop Event

1×	node limit

Counts

238 → 362

Calls

Call 1

Inputs
(*.f64 -2 eps)
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (+.f64 (.f64 -2/7 (pow.f64 eps 7)) (.f64 -2/3 (pow.f64 eps 3)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
1
(+.f64 (*.f64 -2 eps) 1)
(+.f64 (.f64 -2 eps) (+.f64 (.f64 2 (pow.f64 eps 2)) 1))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -2 (pow.f64 eps 3)))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (.f64 2 (/.f64 1 eps)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (.f64 2 (/.f64 1 eps)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(+.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 0)
(+.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 eps)) (log1p.f64 eps)))
(+.f64 (log1p.f64 (neg.f64 eps)) (neg.f64 (log1p.f64 eps)))
(+.f64 0 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(+.f64 (.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(+.f64 (.f64 1/2 (log1p.f64 (neg.f64 eps))) (log.f64 (.f64 (sqrt.f64 (-.f64 1 eps)) (/.f64 1 (+.f64 1 eps)))))
(+.f64 (log.f64 (neg.f64 (-.f64 1 eps))) (log.f64 (/.f64 1 (fma.f64 -1 eps -1))))
(+.f64 (.f64 2 (.f64 1/3 (log1p.f64 (neg.f64 eps)))) (log.f64 (*.f64 (cbrt.f64 (-.f64 1 eps)) (/.f64 1 (+.f64 1 eps)))))
(+.f64 (.f64 2 (.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(+.f64 (.f64 1/2 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (.f64 1/2 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 (neg.f64 eps)))
(+.f64 (fma.f64 1 (log1p.f64 (neg.f64 eps)) (neg.f64 (.f64 (log1p.f64 eps) 1))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (.f64 (log1p.f64 eps) 1)))
(+.f64 (fma.f64 1 (log1p.f64 (neg.f64 eps)) (neg.f64 (.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 eps))) 2) (cbrt.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (.f64 (log1p.f64 eps) 1))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (.f64 (log1p.f64 eps) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 eps))) 2) (cbrt.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (neg.f64 eps))) (sqrt.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (.f64 (log1p.f64 eps) 1))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (.f64 (log1p.f64 eps) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (neg.f64 eps))) (sqrt.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) -2)) (log.f64 (/.f64 (-.f64 1 eps) (cbrt.f64 (+.f64 1 eps)))))
(+.f64 (log.f64 (pow.f64 (+.f64 1 eps) -1/2)) (log.f64 (/.f64 (-.f64 1 eps) (hypot.f64 1 (sqrt.f64 eps)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (-.f64 1 eps)) (+.f64 1 eps))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2)))) (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (hypot.f64 1 (sqrt.f64 eps)))) (log.f64 (/.f64 (cbrt.f64 (-.f64 1 eps)) (hypot.f64 1 (sqrt.f64 eps)))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) 1)) (log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2)))) (log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (cbrt.f64 (+.f64 1 eps)))))
(+.f64 (log.f64 (/.f64 (-.f64 1 eps) (-.f64 1 (*.f64 eps eps)))) (log1p.f64 (neg.f64 eps)))
(+.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps 3)))) (log1p.f64 (-.f64 (*.f64 eps eps) eps)))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(-.f64 0 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))
(-.f64 0 (log.f64 (/.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 1)))
(-.f64 (*.f64 1/2 (log1p.f64 (neg.f64 eps))) (log.f64 (/.f64 (+.f64 1 eps) (sqrt.f64 (-.f64 1 eps)))))
(-.f64 (log.f64 (neg.f64 (-.f64 1 eps))) (log.f64 (fma.f64 -1 eps -1)))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 eps 3))) (log.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (fma.f64 eps eps eps)))))
(-.f64 (.f64 2 (.f64 1/3 (log1p.f64 (neg.f64 eps)))) (log.f64 (/.f64 (+.f64 1 eps) (cbrt.f64 (-.f64 1 eps)))))
(-.f64 (log1p.f64 (neg.f64 (.f64 eps eps))) (.f64 2 (log1p.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 1)
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))))
(-.f64 (log.f64 (/.f64 (-.f64 1 eps) (hypot.f64 1 (sqrt.f64 eps)))) (*.f64 1/2 (log1p.f64 eps)))
(-.f64 (log.f64 (-.f64 (+.f64 1 eps) (fma.f64 eps eps eps))) (*.f64 2 (log1p.f64 eps)))
(-.f64 (log.f64 (.f64 (-.f64 1 (pow.f64 eps 3)) 1)) (log.f64 (.f64 (+.f64 1 (fma.f64 eps eps eps)) (+.f64 1 eps))))
(-.f64 (log.f64 (.f64 (-.f64 1 (.f64 eps eps)) 1)) (*.f64 2 (log1p.f64 eps)))
(-.f64 (log.f64 (neg.f64 (neg.f64 (-.f64 1 eps)))) (log.f64 (neg.f64 (fma.f64 -1 eps -1))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 1 eps) -3) (pow.f64 (/.f64 eps (+.f64 1 eps)) 3))) (log.f64 (+.f64 (pow.f64 (+.f64 1 eps) -2) (+.f64 (pow.f64 (/.f64 eps (+.f64 1 eps)) 2) (*.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 1 eps) -2) (pow.f64 (/.f64 eps (+.f64 1 eps)) 2))) (log.f64 (+.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps)))))
(-.f64 (log.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) (/.f64 1 (+.f64 1 eps)))) (log1p.f64 (fma.f64 eps eps eps)))
(-.f64 (log.f64 (/.f64 (-.f64 1 eps) 1)) (log1p.f64 eps))
(-.f64 (log.f64 (/.f64 (-.f64 1 eps) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2)))) (*.f64 1/3 (log1p.f64 eps)))
(*.f64 1 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(*.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2)) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(.f64 3 (.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(.f64 2 (.f64 1/2 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(*.f64 -1 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))
(.f64 1/3 (.f64 3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) 3) (pow.f64 (log1p.f64 eps) 3)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) 2) (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) 2) (pow.f64 (log1p.f64 eps) 2)) (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)
(neg.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))
(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 1)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 2))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(fma.f64 1 (log1p.f64 (neg.f64 eps)) (neg.f64 (log1p.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 eps))) 2) (cbrt.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (log1p.f64 eps)))
(fma.f64 (sqrt.f64 (log1p.f64 (neg.f64 eps))) (sqrt.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (log1p.f64 eps)))
(+.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 eps (+.f64 1 eps)))) (sqrt.f64 (/.f64 eps (+.f64 1 eps))) (/.f64 eps (+.f64 1 eps))))
(+.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 eps) (hypot.f64 1 (sqrt.f64 eps)))) (/.f64 (sqrt.f64 eps) (hypot.f64 1 (sqrt.f64 eps))) (/.f64 eps (+.f64 1 eps))))
(+.f64 0 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(+.f64 (/.f64 1 (+.f64 1 eps)) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 eps)) (neg.f64 (.f64 (/.f64 eps (+.f64 1 eps)) 1))) (fma.f64 (neg.f64 (/.f64 eps (+.f64 1 eps))) 1 (.f64 (/.f64 eps (+.f64 1 eps)) 1)))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 eps)) (neg.f64 (.f64 (/.f64 1 (+.f64 1 eps)) eps))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 1 eps))) eps (.f64 (/.f64 1 (+.f64 1 eps)) eps)))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 eps)) (neg.f64 (.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps)))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps))) 2) (.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps))) 2))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 eps)) (neg.f64 (.f64 (/.f64 eps (cbrt.f64 (+.f64 1 eps))) (pow.f64 (cbrt.f64 (+.f64 1 eps)) -2)))) (fma.f64 (neg.f64 (/.f64 eps (cbrt.f64 (+.f64 1 eps)))) (pow.f64 (cbrt.f64 (+.f64 1 eps)) -2) (.f64 (/.f64 eps (cbrt.f64 (+.f64 1 eps))) (pow.f64 (cbrt.f64 (+.f64 1 eps)) -2))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 eps)) (neg.f64 (.f64 (/.f64 eps (hypot.f64 1 (sqrt.f64 eps))) (pow.f64 (+.f64 1 eps) -1/2)))) (fma.f64 (neg.f64 (/.f64 eps (hypot.f64 1 (sqrt.f64 eps)))) (pow.f64 (+.f64 1 eps) -1/2) (.f64 (/.f64 eps (hypot.f64 1 (sqrt.f64 eps))) (pow.f64 (+.f64 1 eps) -1/2))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 eps)) (neg.f64 (.f64 (/.f64 (cbrt.f64 eps) (+.f64 1 eps)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 eps) (+.f64 1 eps))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (.f64 (/.f64 (cbrt.f64 eps) (+.f64 1 eps)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 eps)) (neg.f64 (.f64 (/.f64 (cbrt.f64 eps) (cbrt.f64 (+.f64 1 eps))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 eps) (cbrt.f64 (+.f64 1 eps)))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2))) (.f64 (/.f64 (cbrt.f64 eps) (cbrt.f64 (+.f64 1 eps))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2))))))
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(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (.f64 eps eps))) (-.f64 1 eps) (neg.f64 (.f64 (/.f64 eps (+.f64 1 eps)) 1))) (fma.f64 (neg.f64 (/.f64 eps (+.f64 1 eps))) 1 (*.f64 (/.f64 eps (+.f64 1 eps)) 1)))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (.f64 eps eps))) (-.f64 1 eps) (neg.f64 (.f64 (/.f64 1 (+.f64 1 eps)) eps))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 1 eps))) eps (*.f64 (/.f64 1 (+.f64 1 eps)) eps)))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (.f64 eps eps))) (-.f64 1 eps) (neg.f64 (.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps)))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps))) 2) (*.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps))) 2))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (.f64 eps eps))) (-.f64 1 eps) (neg.f64 (.f64 (/.f64 eps (cbrt.f64 (+.f64 1 eps))) (pow.f64 (cbrt.f64 (+.f64 1 eps)) -2)))) (fma.f64 (neg.f64 (/.f64 eps (cbrt.f64 (+.f64 1 eps)))) (pow.f64 (cbrt.f64 (+.f64 1 eps)) -2) (*.f64 (/.f64 eps (cbrt.f64 (+.f64 1 eps))) (pow.f64 (cbrt.f64 (+.f64 1 eps)) -2))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (.f64 eps eps))) (-.f64 1 eps) (neg.f64 (.f64 (/.f64 eps (hypot.f64 1 (sqrt.f64 eps))) (pow.f64 (+.f64 1 eps) -1/2)))) (fma.f64 (neg.f64 (/.f64 eps (hypot.f64 1 (sqrt.f64 eps)))) (pow.f64 (+.f64 1 eps) -1/2) (*.f64 (/.f64 eps (hypot.f64 1 (sqrt.f64 eps))) (pow.f64 (+.f64 1 eps) -1/2))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (.f64 eps eps))) (-.f64 1 eps) (neg.f64 (.f64 (/.f64 (cbrt.f64 eps) (+.f64 1 eps)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 eps) (+.f64 1 eps))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (*.f64 (/.f64 (cbrt.f64 eps) (+.f64 1 eps)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (.f64 eps eps))) (-.f64 1 eps) (neg.f64 (.f64 (/.f64 (cbrt.f64 eps) (cbrt.f64 (+.f64 1 eps))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 eps) (cbrt.f64 (+.f64 1 eps)))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2))) (*.f64 (/.f64 (cbrt.f64 eps) (cbrt.f64 (+.f64 1 eps))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2))))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (.f64 eps eps))) (-.f64 1 eps) (neg.f64 (.f64 (/.f64 (cbrt.f64 eps) (hypot.f64 1 (sqrt.f64 eps))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (hypot.f64 1 (sqrt.f64 eps)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 eps) (hypot.f64 1 (sqrt.f64 eps)))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (hypot.f64 1 (sqrt.f64 eps))) (*.f64 (/.f64 (cbrt.f64 eps) (hypot.f64 1 (sqrt.f64 eps))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (hypot.f64 1 (sqrt.f64 eps))))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (.f64 eps eps))) (-.f64 1 eps) (neg.f64 (.f64 (/.f64 (sqrt.f64 eps) (+.f64 1 eps)) (/.f64 (sqrt.f64 eps) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 eps) (+.f64 1 eps))) (/.f64 (sqrt.f64 eps) 1) (*.f64 (/.f64 (sqrt.f64 eps) (+.f64 1 eps)) (/.f64 (sqrt.f64 eps) 1))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (.f64 eps eps))) (-.f64 1 eps) (neg.f64 (.f64 (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 1 eps))) (/.f64 (sqrt.f64 eps) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2)))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 1 eps)))) (/.f64 (sqrt.f64 eps) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2))) (*.f64 (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 1 eps))) (/.f64 (sqrt.f64 eps) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2))))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (.f64 eps eps))) (-.f64 1 eps) (neg.f64 (.f64 (fma.f64 eps (-.f64 eps 1) 1) (/.f64 eps (+.f64 1 (pow.f64 eps 3)))))) (fma.f64 (neg.f64 (fma.f64 eps (-.f64 eps 1) 1)) (/.f64 eps (+.f64 1 (pow.f64 eps 3))) (*.f64 (fma.f64 eps (-.f64 eps 1) 1) (/.f64 eps (+.f64 1 (pow.f64 eps 3))))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (.f64 eps eps))) (-.f64 1 eps) (neg.f64 (.f64 (-.f64 1 eps) (/.f64 eps (-.f64 1 (.f64 eps eps)))))) (fma.f64 (neg.f64 (-.f64 1 eps)) (/.f64 eps (-.f64 1 (.f64 eps eps))) (.f64 (-.f64 1 eps) (/.f64 eps (-.f64 1 (.f64 eps eps))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))))
(-.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) 1)
(*.f64 1 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(*.f64 (-.f64 1 eps) (/.f64 1 (+.f64 1 eps)))
(*.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 1)
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -2)) (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (.f64 (cbrt.f64 (-.f64 1 eps)) (/.f64 1 (+.f64 1 eps))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
(.f64 (sqrt.f64 (-.f64 1 eps)) (.f64 (sqrt.f64 (-.f64 1 eps)) (/.f64 1 (+.f64 1 eps))))
(*.f64 (neg.f64 (-.f64 1 eps)) (/.f64 1 (fma.f64 -1 eps -1)))
(*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) -2) (/.f64 (-.f64 1 eps) (cbrt.f64 (+.f64 1 eps))))
(*.f64 (pow.f64 (+.f64 1 eps) -1/2) (/.f64 (-.f64 1 eps) (hypot.f64 1 (sqrt.f64 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 eps)) (+.f64 1 eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2))) (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (hypot.f64 1 (sqrt.f64 eps))) (/.f64 (cbrt.f64 (-.f64 1 eps)) (hypot.f64 1 (sqrt.f64 eps))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) 1) (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2))) (/.f64 (sqrt.f64 (-.f64 1 eps)) (cbrt.f64 (+.f64 1 eps))))
(.f64 (/.f64 (-.f64 1 eps) (-.f64 1 (.f64 eps eps))) (-.f64 1 eps))
(*.f64 (/.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps (-.f64 eps 1) 1))
(*.f64 (pow.f64 (E.f64) (log1p.f64 (neg.f64 eps))) (pow.f64 (E.f64) (neg.f64 (log1p.f64 eps))))
(.f64 (pow.f64 (E.f64) (.f64 2 (.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) (pow.f64 (E.f64) (.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(.f64 (pow.f64 (E.f64) (.f64 1/2 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (pow.f64 (E.f64) (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 1)
(pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 2)
(pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -1)
(pow.f64 (exp.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2))) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2))) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (*.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 1))
(pow.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 1)
(pow.f64 (/.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 (+.f64 1 eps) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 1) -1)
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2)))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2))) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2))) 1) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2)))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 1) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2)))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(neg.f64 (/.f64 (-.f64 1 eps) (fma.f64 -1 eps -1)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 (+.f64 1 eps) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(exp.f64 (.f64 (.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 3))
(exp.f64 (.f64 (.f64 3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))) -1))
(exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 eps)) 1) (neg.f64 (log1p.f64 eps))))
(exp.f64 (+.f64 (neg.f64 (log1p.f64 eps)) (*.f64 (log1p.f64 (neg.f64 eps)) 1)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
(fma.f64 1 (/.f64 1 (+.f64 1 eps)) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 eps))) 2) (cbrt.f64 (/.f64 1 (+.f64 1 eps))) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 1 eps))) (sqrt.f64 (/.f64 1 (+.f64 1 eps))) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(fma.f64 (/.f64 1 (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps (-.f64 eps 1) 1) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps) (neg.f64 (/.f64 eps (+.f64 1 eps))))

Outputs
(*.f64 -2 eps)
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (+.f64 (.f64 -2/7 (pow.f64 eps 7)) (.f64 -2/3 (pow.f64 eps 3)))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/7 (pow.f64 eps 7) (*.f64 -2/3 (pow.f64 eps 3)))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/7 (pow.f64 eps 7)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (/.f64 2 eps))
(+.f64 (log.f64 -1) (/.f64 -2 eps))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))))
(-.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 2 eps))
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 -2 eps))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(-.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
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(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(fma.f64 (/.f64 1 (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps (-.f64 eps 1) 1) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(fma.f64 (/.f64 1 (+.f64 (pow.f64 eps 3) 1)) (fma.f64 eps (+.f64 eps -1) 1) (/.f64 (neg.f64 eps) (+.f64 eps 1)))
(fma.f64 (fma.f64 eps (+.f64 eps -1) 1) (/.f64 1 (+.f64 (pow.f64 eps 3) 1)) (/.f64 eps (fma.f64 -1 eps -1)))
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps) (/.f64 (neg.f64 eps) (+.f64 eps 1)))
(-.f64 (/.f64 (-.f64 1 eps) (-.f64 1 (*.f64 eps eps))) (/.f64 eps (+.f64 eps 1)))

localize24.0ms (0.5%)

Compiler: Compiled 16 to 6 computations (62.5% saved)

eval155.0ms (3.1%)

Compiler: Compiled 9277 to 6154 computations (33.7% saved)

prune47.0ms (0.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	360	2	362
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	360	4	364

Accurracy

100.0%

Counts

364 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
▶	99.6%	(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
▶	99.1%	(*.f64 -2 eps)
✓	8.1%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

Compiler

Compiled 30 to 23 computations (23.3% saved)

localize14.0ms (0.3%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize40.0ms (0.8%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(*.f64 -2/3 (pow.f64 eps 3))

Compiler

Compiled 26 to 20 computations (23.1% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(*.f64 -2/3 (pow.f64 eps 3))
0.0ms	eps	@	-inf	(*.f64 -2/3 (pow.f64 eps 3))
0.0ms	eps	@	inf	(*.f64 -2/3 (pow.f64 eps 3))

rewrite50.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1204×	`pow1`
1126×	`add-exp-log`
1126×	`log1p-expm1-u`
1126×	`expm1-log1p-u`
1102×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	149	13
2	1572	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 -2/3 (pow.f64 eps 3))

Outputs
(-.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1)
(pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)
(pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 3)
(pow.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 -2/3) (pow.f64 eps 3/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 6) 4/9))
(log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))
(cbrt.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(exp.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3))))

simplify58.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

2268×	`log-prod`
918×	`exp-sum`
820×	`distribute-rgt-in`
818×	`distribute-lft-in`
650×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	275
1	98	209
2	313	143
3	1886	143
4	6007	143

Stop Event

1×	node limit

Counts

11 → 14

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1)
(pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)
(pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 3)
(pow.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 -2/3) (pow.f64 eps 3/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 6) 4/9))
(log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))
(cbrt.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(exp.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3))))

Outputs
(-.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1)
(+.f64 1 (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1))
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)
(+.f64 1 (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1))
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 3)
(+.f64 1 (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1))
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(pow.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1))
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(pow.f64 (*.f64 (sqrt.f64 -2/3) (pow.f64 eps 3/2)) 2)
(+.f64 1 (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1))
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(sqrt.f64 (*.f64 (pow.f64 eps 6) 4/9))
(+.f64 1 (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1))
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))
(+.f64 1 (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1))
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(cbrt.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3))
(+.f64 1 (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1))
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(expm1.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 1 (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1))
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(exp.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 1 (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1))
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 1 (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1))
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))

eval4.0ms (0.1%)

Compiler: Compiled 159 to 131 computations (17.6% saved)

prune3.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	14	4	18

Accurracy

100.0%

Counts

18 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
✓	99.6%	(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
✓	99.1%	(*.f64 -2 eps)
✓	8.1%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes9.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 -2 eps)
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))

Outputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))

Calls

3 calls:

4.0ms	eps
2.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
2.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))

Results

Accuracy	Segments	Branch
100.0%	1	`eps`
100.0%	1	`(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))`
100.0%	1	`(/.f64 (-.f64 1 eps) (+.f64 1 eps))`

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes9.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 -2 eps)
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))

Outputs
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))

Calls

3 calls:

5.0ms	eps
2.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
2.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))

Results

Accuracy	Segments	Branch
99.6%	1	`eps`
99.6%	1	`(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))`
99.6%	1	`(/.f64 (-.f64 1 eps) (+.f64 1 eps))`

Compiler

Compiled 40 to 30 computations (25% saved)

regimes7.0ms (0.1%)

Accuracy

Total -58.7b remaining (-10064.5%)

Threshold costs -58.7b (-10064.5%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 -2 eps)
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

Outputs
(*.f64 -2 eps)

Calls

3 calls:

3.0ms	eps
2.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
2.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))

Results

Accuracy	Segments	Branch
99.1%	1	`eps`
99.1%	1	`(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))`
99.1%	1	`(/.f64 (-.f64 1 eps) (+.f64 1 eps))`

Compiler

Compiled 31 to 23 computations (25.8% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative`
8×	`*-commutative`
6×	`sub-neg`
4×	`neg-mul-1`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	51
1	24	51
2	29	51
3	32	51
4	33	51

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(*.f64 -2 eps)

Outputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (.f64 eps -2) (.f64 -2/3 (pow.f64 eps 3)))
(*.f64 -2 eps)
(*.f64 eps -2)

Compiler

Compiled 21 to 16 computations (23.8% saved)

soundness513.0ms (10.1%)

Rules

3044×	`fma-def`
1338×	`distribute-lft-in`
944×	`fma-neg`
932×	`sub-neg`
644×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	20	19
2	30	19
3	44	19
4	74	19
5	106	19
6	163	19
7	296	19
8	602	19
9	1053	19
10	1462	19
11	2037	19
12	2865	19
13	4066	19
14	4900	19
15	4996	19
16	5028	19
17	5028	19
18	6533	19
19	7165	19
20	7243	19
21	7251	19
22	7259	19
23	7259	19
24	7459	19

Stop Event

1×	node limit

Compiler

Compiled 42 to 29 computations (31% saved)

end47.0ms (0.9%)

Compiler: Compiled 88 to 68 computations (22.7% saved)

Details

analyze3.0ms (0.1%)

sample3.2s (63%)

preprocess271.0ms (5.4%)

simplify271.0ms (5.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize104.0ms (2.1%)

series2.0ms (0%)

rewrite91.0ms (1.8%)

simplify144.0ms (2.8%)

localize24.0ms (0.5%)

eval155.0ms (3.1%)

prune47.0ms (0.9%)

localize14.0ms (0.3%)

localize40.0ms (0.8%)

series1.0ms (0%)

rewrite50.0ms (1%)

simplify58.0ms (1.1%)

eval4.0ms (0.1%)

prune3.0ms (0.1%)

regimes9.0ms (0.2%)

regimes9.0ms (0.2%)

regimes7.0ms (0.1%)

simplify5.0ms (0.1%)

soundness513.0ms (10.1%)

end47.0ms (0.9%)

Profiling