Metrics for logq (problem 3.4.3)

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)

sample2.8s (57%)

Results

1.9s	4195×	body	1024	valid
449.0ms	2050×	body	512	valid
242.0ms	424×	body	2048	valid
178.0ms	1587×	body	256	valid
1.0ms	9×	body	256	invalid

Bogosity

preprocess310.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

8722×	`fma-def`
1220×	`unsub-neg`
1030×	`fma-neg`
668×	`associate-+r+`
656×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	37	38
2	70	38
3	148	38
4	377	38
5	984	38
6	1861	38
7	2532	38
8	3523	38
9	4766	38
10	5322	38
11	5483	38
12	5658	38
13	6107	38
14	7004	38
15	7072	38
16	7104	38
17	7124	38
18	7216	38
19	7357	38
20	7477	38
21	7477	38

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 10 to 8 computations (20% saved)

simplify330.0ms (6.8%)

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)

prune2.0ms (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))
▶	7.4%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
▶	100.0%	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
▶	7.4%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

Compiler

Compiled 32 to 24 computations (25% saved)

localize197.0ms (4.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
✓	100.0%	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
✓	7.6%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

Compiler

Compiled 39 to 22 computations (43.6% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
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	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
0.0ms	eps	@	-inf	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

rewrite68.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1534×	`prod-diff`
920×	`log-prod`
676×	`fma-def`
448×	`pow-prod-up`
412×	`pow-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	57
1	279	49
2	3805	3

Stop Event

1×	node limit

Counts

3 → 3

Calls

Call 1

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

Outputs
0
1
0

simplify69.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1482×	`fma-def`
1230×	`fma-neg`
1004×	`times-frac`
874×	`associate-*r/`
848×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	64	945
1	182	935
2	460	929
3	1293	917
4	3996	909

Stop Event

1×	node limit

Counts

39 → 66

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 -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))))))
(*.f64 -1 (log.f64 -1))
(-.f64 (.f64 -1 (log.f64 -1)) (.f64 2 (/.f64 1 eps)))
(-.f64 (.f64 -1 (log.f64 -1)) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (.f64 -1 (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))))))
0
1
0

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)))
(.f64 eps (fma.f64 eps (.f64 eps -2/3) -2))
(+.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)))))
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.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 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 -2 eps))
(+.f64 (log.f64 -1) (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (/.f64 -2/3 (pow.f64 eps 3)))
(-.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 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))))
(-.f64 (-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))) (/.f64 2/3 (pow.f64 eps 3)))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 -2 eps) (/.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)))
(-.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 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 -2 eps))
(+.f64 (log.f64 -1) (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (/.f64 -2/3 (pow.f64 eps 3)))
(-.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 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))))
(-.f64 (-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))) (/.f64 2/3 (pow.f64 eps 3)))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3))) (/.f64 -2/5 (pow.f64 eps 5))))
1
(+.f64 (*.f64 -2 eps) 1)
(fma.f64 -2 eps 1)
(+.f64 (.f64 -2 eps) (+.f64 (.f64 2 (pow.f64 eps 2)) 1))
(fma.f64 -2 eps (fma.f64 2 (*.f64 eps eps) 1))
(fma.f64 -2 eps (fma.f64 eps (*.f64 eps 2) 1))
(fma.f64 eps (fma.f64 eps 2 -2) 1)
(+.f64 (.f64 -2 eps) (+.f64 (.f64 2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -2 (pow.f64 eps 3)))))
(fma.f64 -2 eps (+.f64 (fma.f64 2 (.f64 eps eps) 1) (.f64 -2 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 2 (*.f64 eps eps) (fma.f64 -2 (pow.f64 eps 3) 1)))
(fma.f64 -2 eps (fma.f64 -2 (pow.f64 eps 3) (fma.f64 eps (*.f64 eps 2) 1)))
(fma.f64 -2 (pow.f64 eps 3) (fma.f64 eps (fma.f64 eps 2 -2) 1))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(+.f64 (/.f64 2 eps) -1)
(+.f64 -1 (/.f64 2 eps))
(-.f64 (.f64 2 (/.f64 1 eps)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps))))
(+.f64 (/.f64 2 eps) (-.f64 -1 (/.f64 2 (*.f64 eps eps))))
(+.f64 -1 (+.f64 (/.f64 2 eps) (/.f64 -2 (*.f64 eps eps))))
(-.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 2 (pow.f64 eps 3)) (-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps)))))
(+.f64 (/.f64 2 eps) (-.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 1 (/.f64 2 (*.f64 eps eps)))))
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 eps eps)) (+.f64 (/.f64 2 eps) (/.f64 2 (pow.f64 eps 3)))))
(+.f64 -1 (+.f64 (/.f64 2 eps) (*.f64 (/.f64 (/.f64 1 eps) eps) (+.f64 (/.f64 2 eps) -2))))
(+.f64 (/.f64 2 eps) (fma.f64 (/.f64 (/.f64 1 eps) eps) (+.f64 -2 (/.f64 2 eps)) -1))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(+.f64 (/.f64 2 eps) -1)
(+.f64 -1 (/.f64 2 eps))
(-.f64 (.f64 2 (/.f64 1 eps)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps))))
(+.f64 (/.f64 2 eps) (-.f64 -1 (/.f64 2 (*.f64 eps eps))))
(+.f64 -1 (+.f64 (/.f64 2 eps) (/.f64 -2 (*.f64 eps eps))))
(-.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 2 (pow.f64 eps 3)) (-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps)))))
(+.f64 (/.f64 2 eps) (-.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 1 (/.f64 2 (*.f64 eps eps)))))
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 eps eps)) (+.f64 (/.f64 2 eps) (/.f64 2 (pow.f64 eps 3)))))
(+.f64 -1 (+.f64 (/.f64 2 eps) (*.f64 (/.f64 (/.f64 1 eps) eps) (+.f64 (/.f64 2 eps) -2))))
(+.f64 (/.f64 2 eps) (fma.f64 (/.f64 (/.f64 1 eps) eps) (+.f64 -2 (/.f64 2 eps)) -1))
(*.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)))
(.f64 eps (fma.f64 eps (.f64 eps -2/3) -2))
(+.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)))))
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.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 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 -2 eps))
(+.f64 (log.f64 -1) (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (/.f64 -2/3 (pow.f64 eps 3)))
(-.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 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))))
(-.f64 (-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))) (/.f64 2/3 (pow.f64 eps 3)))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3))) (/.f64 -2/5 (pow.f64 eps 5))))
(*.f64 -1 (log.f64 -1))
(neg.f64 (log.f64 -1))
(-.f64 (.f64 -1 (log.f64 -1)) (.f64 2 (/.f64 1 eps)))
(-.f64 (neg.f64 (log.f64 -1)) (/.f64 2 eps))
(fma.f64 -1 (log.f64 -1) (/.f64 -2 eps))
(-.f64 (/.f64 -2 eps) (log.f64 -1))
(-.f64 (.f64 -1 (log.f64 -1)) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (neg.f64 (log.f64 -1)) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(-.f64 (fma.f64 -1 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3)))
(+.f64 (-.f64 (/.f64 -2 eps) (log.f64 -1)) (/.f64 -2/3 (pow.f64 eps 3)))
(-.f64 (.f64 -1 (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 (neg.f64 (log.f64 -1)) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))))
(-.f64 (-.f64 (fma.f64 -1 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 2/5 (pow.f64 eps 5)))
(-.f64 (+.f64 (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3))) (/.f64 -2/5 (pow.f64 eps 5))) (log.f64 -1))
(+.f64 (+.f64 (-.f64 (/.f64 -2 eps) (log.f64 -1)) (/.f64 -2/3 (pow.f64 eps 3))) (/.f64 -2/5 (pow.f64 eps 5)))
0
1
0

eval16.0ms (0.3%)

Compiler: Compiled 820 to 660 computations (19.5% saved)

prune47.0ms (1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	63	3	66
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	63	5	68

Accurracy

100.0%

Counts

68 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
▶	100.0%	(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
▶	99.8%	(*.f64 -2 eps)
✓	7.4%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
	5.4%	0
✓	100.0%	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
▶	100.0%	(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
▶	99.8%	(*.f64 -2 eps)
✓	7.4%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
	5.4%	0

Compiler

Compiled 76 to 60 computations (21.1% saved)

localize150.0ms (3.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(pow.f64 eps 3)
✓	99.9%	(*.f64 -2/5 (pow.f64 eps 5))
✓	99.8%	(*.f64 -2/3 (pow.f64 eps 3))

Compiler

Compiled 58 to 45 computations (22.4% saved)

series5.0ms (0.1%)

Counts

3 → 0

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	-inf	(*.f64 -2/3 (pow.f64 eps 3))
1.0ms	eps	@	-inf	(pow.f64 eps 3)
1.0ms	eps	@	0	(*.f64 -2/3 (pow.f64 eps 3))
0.0ms	eps	@	0	(*.f64 -2/5 (pow.f64 eps 5))
0.0ms	eps	@	inf	(pow.f64 eps 3)

rewrite63.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1892×	`pow1`
1778×	`add-exp-log`
1778×	`log1p-expm1-u`
1778×	`expm1-log1p-u`
218×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	236	33
2	2476	33

Stop Event

1×	node limit

Counts

3 → 44

Calls

Call 1

Inputs
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/5 (pow.f64 eps 5))
(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 (pow.f64 eps 3/2) (sqrt.f64 -2/3)) 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))))
(exp.f64 (.f64 (log.f64 (.f64 -2/3 (pow.f64 eps 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(-.f64 (+.f64 1 (*.f64 -2/5 (pow.f64 eps 5))) 1)
(pow.f64 (*.f64 -2/5 (pow.f64 eps 5)) 1)
(pow.f64 (cbrt.f64 (*.f64 -2/5 (pow.f64 eps 5))) 3)
(pow.f64 (pow.f64 (*.f64 -2/5 (pow.f64 eps 5)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 -2/5) (pow.f64 eps 5/2)) 2)
(sqrt.f64 (*.f64 4/25 (pow.f64 eps 10)))
(log.f64 (pow.f64 (exp.f64 -2/5) (pow.f64 eps 5)))
(cbrt.f64 (pow.f64 (*.f64 -2/5 (pow.f64 eps 5)) 3))
(expm1.f64 (log1p.f64 (*.f64 -2/5 (pow.f64 eps 5))))
(exp.f64 (log.f64 (*.f64 -2/5 (pow.f64 eps 5))))
(exp.f64 (.f64 (log.f64 (.f64 -2/5 (pow.f64 eps 5))) 1))
(log1p.f64 (expm1.f64 (*.f64 -2/5 (pow.f64 eps 5))))
(-.f64 (+.f64 1 (pow.f64 eps 3)) 1)
(.f64 eps (.f64 eps eps))
(*.f64 (pow.f64 eps 3) 1)
(*.f64 1 (pow.f64 eps 3))
(.f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 (cbrt.f64 eps) (*.f64 eps eps)))
(.f64 (.f64 eps eps) eps)
(*.f64 (pow.f64 eps 3/2) (pow.f64 eps 3/2))
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (*.f64 eps eps)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 eps) 2) 3) eps)
(*.f64 (pow.f64 (sqrt.f64 eps) 3) (pow.f64 (sqrt.f64 eps) 3))
(.f64 (.f64 (*.f64 eps eps) 1) eps)
(.f64 (.f64 (*.f64 eps eps) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(.f64 (.f64 (*.f64 eps eps) (sqrt.f64 eps)) (sqrt.f64 eps))
(sqrt.f64 (pow.f64 eps 6))
(log.f64 (exp.f64 (pow.f64 eps 3)))
(cbrt.f64 (pow.f64 (pow.f64 eps 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 eps 3)))
(exp.f64 (*.f64 3 (log.f64 eps)))
(exp.f64 (.f64 (.f64 3 (log.f64 eps)) 1))
(log1p.f64 (expm1.f64 (pow.f64 eps 3)))

simplify51.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1654×	`fma-def`
1326×	`log-prod`
1304×	`distribute-rgt-in`
1294×	`distribute-lft-in`
728×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	113	980
1	272	716
2	886	452
3	3106	452

Stop Event

1×	node limit

Counts

44 → 53

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 (pow.f64 eps 3/2) (sqrt.f64 -2/3)) 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))))
(exp.f64 (.f64 (log.f64 (.f64 -2/3 (pow.f64 eps 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(-.f64 (+.f64 1 (*.f64 -2/5 (pow.f64 eps 5))) 1)
(pow.f64 (*.f64 -2/5 (pow.f64 eps 5)) 1)
(pow.f64 (cbrt.f64 (*.f64 -2/5 (pow.f64 eps 5))) 3)
(pow.f64 (pow.f64 (*.f64 -2/5 (pow.f64 eps 5)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 -2/5) (pow.f64 eps 5/2)) 2)
(sqrt.f64 (*.f64 4/25 (pow.f64 eps 10)))
(log.f64 (pow.f64 (exp.f64 -2/5) (pow.f64 eps 5)))
(cbrt.f64 (pow.f64 (*.f64 -2/5 (pow.f64 eps 5)) 3))
(expm1.f64 (log1p.f64 (*.f64 -2/5 (pow.f64 eps 5))))
(exp.f64 (log.f64 (*.f64 -2/5 (pow.f64 eps 5))))
(exp.f64 (.f64 (log.f64 (.f64 -2/5 (pow.f64 eps 5))) 1))
(log1p.f64 (expm1.f64 (*.f64 -2/5 (pow.f64 eps 5))))
(-.f64 (+.f64 1 (pow.f64 eps 3)) 1)
(.f64 eps (.f64 eps eps))
(*.f64 (pow.f64 eps 3) 1)
(*.f64 1 (pow.f64 eps 3))
(.f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 (cbrt.f64 eps) (*.f64 eps eps)))
(.f64 (.f64 eps eps) eps)
(*.f64 (pow.f64 eps 3/2) (pow.f64 eps 3/2))
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (*.f64 eps eps)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 eps) 2) 3) eps)
(*.f64 (pow.f64 (sqrt.f64 eps) 3) (pow.f64 (sqrt.f64 eps) 3))
(.f64 (.f64 (*.f64 eps eps) 1) eps)
(.f64 (.f64 (*.f64 eps eps) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(.f64 (.f64 (*.f64 eps eps) (sqrt.f64 eps)) (sqrt.f64 eps))
(sqrt.f64 (pow.f64 eps 6))
(log.f64 (exp.f64 (pow.f64 eps 3)))
(cbrt.f64 (pow.f64 (pow.f64 eps 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 eps 3)))
(exp.f64 (*.f64 3 (log.f64 eps)))
(exp.f64 (.f64 (.f64 3 (log.f64 eps)) 1))
(log1p.f64 (expm1.f64 (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 (pow.f64 eps 3/2) (sqrt.f64 -2/3)) 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))
(exp.f64 (.f64 (log.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))
(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))
(-.f64 (+.f64 1 (*.f64 -2/5 (pow.f64 eps 5))) 1)
(+.f64 1 (-.f64 (*.f64 -2/5 (pow.f64 eps 5)) 1))
(+.f64 (*.f64 -2/5 (pow.f64 eps 5)) 0)
(*.f64 -2/5 (pow.f64 eps 5))
(pow.f64 (*.f64 -2/5 (pow.f64 eps 5)) 1)
(+.f64 1 (-.f64 (*.f64 -2/5 (pow.f64 eps 5)) 1))
(+.f64 (*.f64 -2/5 (pow.f64 eps 5)) 0)
(*.f64 -2/5 (pow.f64 eps 5))
(pow.f64 (cbrt.f64 (*.f64 -2/5 (pow.f64 eps 5))) 3)
(+.f64 1 (-.f64 (*.f64 -2/5 (pow.f64 eps 5)) 1))
(+.f64 (*.f64 -2/5 (pow.f64 eps 5)) 0)
(*.f64 -2/5 (pow.f64 eps 5))
(pow.f64 (pow.f64 (*.f64 -2/5 (pow.f64 eps 5)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 -2/5 (pow.f64 eps 5)) 1))
(+.f64 (*.f64 -2/5 (pow.f64 eps 5)) 0)
(*.f64 -2/5 (pow.f64 eps 5))
(pow.f64 (*.f64 (sqrt.f64 -2/5) (pow.f64 eps 5/2)) 2)
(+.f64 1 (-.f64 (*.f64 -2/5 (pow.f64 eps 5)) 1))
(+.f64 (*.f64 -2/5 (pow.f64 eps 5)) 0)
(*.f64 -2/5 (pow.f64 eps 5))
(sqrt.f64 (*.f64 4/25 (pow.f64 eps 10)))
(+.f64 1 (-.f64 (*.f64 -2/5 (pow.f64 eps 5)) 1))
(+.f64 (*.f64 -2/5 (pow.f64 eps 5)) 0)
(*.f64 -2/5 (pow.f64 eps 5))
(log.f64 (pow.f64 (exp.f64 -2/5) (pow.f64 eps 5)))
(+.f64 1 (-.f64 (*.f64 -2/5 (pow.f64 eps 5)) 1))
(+.f64 (*.f64 -2/5 (pow.f64 eps 5)) 0)
(*.f64 -2/5 (pow.f64 eps 5))
(cbrt.f64 (pow.f64 (*.f64 -2/5 (pow.f64 eps 5)) 3))
(+.f64 1 (-.f64 (*.f64 -2/5 (pow.f64 eps 5)) 1))
(+.f64 (*.f64 -2/5 (pow.f64 eps 5)) 0)
(*.f64 -2/5 (pow.f64 eps 5))
(expm1.f64 (log1p.f64 (*.f64 -2/5 (pow.f64 eps 5))))
(+.f64 1 (-.f64 (*.f64 -2/5 (pow.f64 eps 5)) 1))
(+.f64 (*.f64 -2/5 (pow.f64 eps 5)) 0)
(*.f64 -2/5 (pow.f64 eps 5))
(exp.f64 (log.f64 (*.f64 -2/5 (pow.f64 eps 5))))
(+.f64 1 (-.f64 (*.f64 -2/5 (pow.f64 eps 5)) 1))
(+.f64 (*.f64 -2/5 (pow.f64 eps 5)) 0)
(*.f64 -2/5 (pow.f64 eps 5))
(exp.f64 (.f64 (log.f64 (.f64 -2/5 (pow.f64 eps 5))) 1))
(+.f64 1 (-.f64 (*.f64 -2/5 (pow.f64 eps 5)) 1))
(+.f64 (*.f64 -2/5 (pow.f64 eps 5)) 0)
(*.f64 -2/5 (pow.f64 eps 5))
(log1p.f64 (expm1.f64 (*.f64 -2/5 (pow.f64 eps 5))))
(+.f64 1 (-.f64 (*.f64 -2/5 (pow.f64 eps 5)) 1))
(+.f64 (*.f64 -2/5 (pow.f64 eps 5)) 0)
(*.f64 -2/5 (pow.f64 eps 5))
(-.f64 (+.f64 1 (pow.f64 eps 3)) 1)
(+.f64 1 (-.f64 (pow.f64 eps 3) 1))
(+.f64 (pow.f64 eps 3) 0)
(pow.f64 eps 3)
(.f64 eps (.f64 eps eps))
(+.f64 1 (-.f64 (pow.f64 eps 3) 1))
(+.f64 (pow.f64 eps 3) 0)
(pow.f64 eps 3)
(*.f64 (pow.f64 eps 3) 1)
(+.f64 1 (-.f64 (pow.f64 eps 3) 1))
(+.f64 (pow.f64 eps 3) 0)
(pow.f64 eps 3)
(*.f64 1 (pow.f64 eps 3))
(+.f64 1 (-.f64 (pow.f64 eps 3) 1))
(+.f64 (pow.f64 eps 3) 0)
(pow.f64 eps 3)
(.f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 (cbrt.f64 eps) (*.f64 eps eps)))
(+.f64 1 (-.f64 (pow.f64 eps 3) 1))
(+.f64 (pow.f64 eps 3) 0)
(pow.f64 eps 3)
(.f64 (.f64 eps eps) eps)
(+.f64 1 (-.f64 (pow.f64 eps 3) 1))
(+.f64 (pow.f64 eps 3) 0)
(pow.f64 eps 3)
(*.f64 (pow.f64 eps 3/2) (pow.f64 eps 3/2))
(+.f64 1 (-.f64 (pow.f64 eps 3) 1))
(+.f64 (pow.f64 eps 3) 0)
(pow.f64 eps 3)
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (*.f64 eps eps)))
(+.f64 1 (-.f64 (pow.f64 eps 3) 1))
(+.f64 (pow.f64 eps 3) 0)
(pow.f64 eps 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 eps) 2) 3) eps)
(+.f64 1 (-.f64 (pow.f64 eps 3) 1))
(+.f64 (pow.f64 eps 3) 0)
(pow.f64 eps 3)
(*.f64 (pow.f64 (sqrt.f64 eps) 3) (pow.f64 (sqrt.f64 eps) 3))
(+.f64 1 (-.f64 (pow.f64 eps 3) 1))
(+.f64 (pow.f64 eps 3) 0)
(pow.f64 eps 3)
(.f64 (.f64 (*.f64 eps eps) 1) eps)
(+.f64 1 (-.f64 (pow.f64 eps 3) 1))
(+.f64 (pow.f64 eps 3) 0)
(pow.f64 eps 3)
(.f64 (.f64 (*.f64 eps eps) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(+.f64 1 (-.f64 (pow.f64 eps 3) 1))
(+.f64 (pow.f64 eps 3) 0)
(pow.f64 eps 3)
(.f64 (.f64 (*.f64 eps eps) (sqrt.f64 eps)) (sqrt.f64 eps))
(+.f64 1 (-.f64 (pow.f64 eps 3) 1))
(+.f64 (pow.f64 eps 3) 0)
(pow.f64 eps 3)
(sqrt.f64 (pow.f64 eps 6))
(+.f64 1 (-.f64 (pow.f64 eps 3) 1))
(+.f64 (pow.f64 eps 3) 0)
(pow.f64 eps 3)
(log.f64 (exp.f64 (pow.f64 eps 3)))
(+.f64 1 (-.f64 (pow.f64 eps 3) 1))
(+.f64 (pow.f64 eps 3) 0)
(pow.f64 eps 3)
(cbrt.f64 (pow.f64 (pow.f64 eps 3) 3))
(+.f64 1 (-.f64 (pow.f64 eps 3) 1))
(+.f64 (pow.f64 eps 3) 0)
(pow.f64 eps 3)
(expm1.f64 (log1p.f64 (pow.f64 eps 3)))
(+.f64 1 (-.f64 (pow.f64 eps 3) 1))
(+.f64 (pow.f64 eps 3) 0)
(pow.f64 eps 3)
(exp.f64 (*.f64 3 (log.f64 eps)))
(+.f64 1 (-.f64 (pow.f64 eps 3) 1))
(+.f64 (pow.f64 eps 3) 0)
(pow.f64 eps 3)
(exp.f64 (.f64 (.f64 3 (log.f64 eps)) 1))
(+.f64 1 (-.f64 (pow.f64 eps 3) 1))
(+.f64 (pow.f64 eps 3) 0)
(pow.f64 eps 3)
(log1p.f64 (expm1.f64 (pow.f64 eps 3)))
(+.f64 1 (-.f64 (pow.f64 eps 3) 1))
(+.f64 (pow.f64 eps 3) 0)
(pow.f64 eps 3)

eval29.0ms (0.6%)

Compiler: Compiled 951 to 755 computations (20.6% saved)

prune9.0ms (0.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	0	1	1
Picked	1	1	2
Done	1	1	2
Total	54	4	58

Accurracy

100.0%

Counts

58 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (.f64 -2/3 (.f64 (*.f64 eps eps) eps))))
✓	99.8%	(*.f64 -2 eps)
✓	7.4%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
	5.4%	0
▶	100.0%	(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (.f64 -2/3 (.f64 (*.f64 eps eps) eps))))
✓	99.8%	(*.f64 -2 eps)
✓	7.4%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
	5.4%	0

Compiler

Compiled 66 to 50 computations (24.2% saved)

localize70.0ms (1.5%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(.f64 (.f64 eps eps) eps)
	99.9%	(*.f64 -2/5 (pow.f64 eps 5))
✓	99.8%	(.f64 -2/3 (.f64 (*.f64 eps eps) eps))

Compiler

Compiled 63 to 35 computations (44.4% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite59.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1190×	`pow1`
1106×	`add-exp-log`
1106×	`log1p-expm1-u`
1106×	`expm1-log1p-u`
1080×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	143	20
2	1594	20

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

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

simplify47.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1966×	`log-prod`
1256×	`fma-def`
1214×	`associate-r`
968×	`associate-l`
634×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	460
1	133	460
2	481	460
3	3551	460

Stop Event

1×	node limit

Counts

46 → 23

Calls

Call 1

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

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

eval14.0ms (0.3%)

Compiler: Compiled 689 to 517 computations (25% saved)

prune7.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	38	4	42

Accurracy

100.0%

Counts

42 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (.f64 -2/3 (.f64 (*.f64 eps eps) eps))))
✓	99.8%	(*.f64 -2 eps)
✓	7.4%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
	5.4%	0
✓	100.0%	(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (.f64 -2/3 (.f64 (*.f64 eps eps) eps))))
✓	99.8%	(*.f64 -2 eps)
✓	7.4%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
	5.4%	0

Compiler

Compiled 66 to 50 computations (24.2% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	3	3
Total	4	4

Accurracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (.f64 -2/3 (.f64 (*.f64 eps eps) eps))))
✓	99.8%	(*.f64 -2 eps)
✓	7.4%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
	5.4%	0

Compiler

Compiled 84 to 63 computations (25% saved)

regimes18.0ms (0.4%)

Counts

6 → 1

Calls

Call 1

Inputs
0
(*.f64 -2 eps)
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (.f64 -2/3 (.f64 (*.f64 eps eps) eps))))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))

Outputs
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (.f64 -2/3 (.f64 (*.f64 eps eps) eps))))

Calls

3 calls:

6.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
5.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
5.0ms	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 70 to 52 computations (25.7% saved)

regimes9.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

Inputs
0
(*.f64 -2 eps)
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

Outputs
(*.f64 -2 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
99.8%	1	`eps`
99.8%	1	`(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))`
99.8%	1	`(/.f64 (-.f64 1 eps) (+.f64 1 eps))`

Compiler

Compiled 32 to 24 computations (25% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
0

Outputs
0

Calls

1 calls:

3.0ms

eps

Results

Accuracy	Segments	Branch
5.4%	1	`eps`

Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative`
4×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	57
1	22	57

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (.f64 -2/3 (.f64 (*.f64 eps eps) eps))))
(*.f64 -2 eps)
0

Outputs
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (.f64 -2/3 (.f64 (*.f64 eps eps) eps))))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (.f64 -2/3 (.f64 eps (*.f64 eps eps)))))
(*.f64 -2 eps)
0

Compiler

Compiled 24 to 18 computations (25% saved)

soundness167.0ms (3.5%)

Rules

1892×	`pow1`
1778×	`add-exp-log`
1778×	`log1p-expm1-u`
1778×	`expm1-log1p-u`
1534×	`prod-diff`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	236	33
2	2476	33
0	13	57
1	279	49
2	3805	3

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 172 to 132 computations (23.3% saved)

end0.0ms (0%)

preprocess320.0ms (6.6%)

Compiler: Compiled 94 to 72 computations (23.4% saved)

analyze3.0ms (0.1%)

sample2.8s (57%)

preprocess310.0ms (6.4%)

simplify330.0ms (6.8%)

eval1.0ms (0%)

prune2.0ms (0%)

localize197.0ms (4.1%)

series4.0ms (0.1%)

rewrite68.0ms (1.4%)

simplify69.0ms (1.4%)

eval16.0ms (0.3%)

prune47.0ms (1%)

localize150.0ms (3.1%)

series5.0ms (0.1%)

rewrite63.0ms (1.3%)

simplify51.0ms (1%)

eval29.0ms (0.6%)

prune9.0ms (0.2%)

localize70.0ms (1.5%)

series2.0ms (0%)

rewrite59.0ms (1.2%)

simplify47.0ms (1%)

eval14.0ms (0.3%)

prune7.0ms (0.1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes18.0ms (0.4%)

regimes9.0ms (0.2%)

regimes3.0ms (0.1%)

simplify5.0ms (0.1%)

soundness167.0ms (3.5%)

end0.0ms (0%)

preprocess320.0ms (6.6%)

Profiling