Metrics for logq (problem 3.4.3)

analyze9.0ms (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)

sample4.3s (62.4%)

Results

2.2s	4146×	body	1024	valid
1.3s	2083×	body	512	valid
496.0ms	1604×	body	256	valid
324.0ms	423×	body	2048	valid
1.0ms	13×	body	256	invalid

Bogosity

preprocess397.0ms (5.8%)

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	73
1	37	57
2	70	57
3	148	57
4	377	57
5	984	57
6	1861	57
7	2532	57
8	3523	57
9	4766	57
10	5322	57
11	5483	57
12	5658	57
13	6107	57
14	7004	57
15	7072	57
16	7104	57
17	7124	57
18	7216	57
19	7357	57
20	7477	57
21	7477	57

Stop Event

1×	node limit

Calls

Call 1

Inputs
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(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 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 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 32 to 24 computations (25% saved)

localize145.0ms (2.1%)

Localize:

Found 3 expressions with local error:

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)))

rewrite106.0ms (1.5%)

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

simplify73.0ms (1.1%)

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

eval18.0ms (0.3%)

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

prune13.0ms (0.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	62	4	66
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	62	6	68

Accuracy

100.0%

Counts

68 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
▶	99.5%	(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
▶	99.5%	(.f64 eps (fma.f64 eps (.f64 eps -2/3) -2))
▶	99.4%	(*.f64 -2 eps)
✓	7.6%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
	5.2%	0
✓	100.0%	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
▶	99.5%	(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
▶	99.5%	(.f64 eps (fma.f64 eps (.f64 eps -2/3) -2))
▶	99.4%	(*.f64 -2 eps)
✓	7.6%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
	5.2%	0

Compiler

Compiled 82 to 62 computations (24.4% saved)

localize78.0ms (1.1%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	99.8%	(*.f64 -2/3 (pow.f64 eps 3))
✓	100.0%	(.f64 eps (fma.f64 eps (.f64 eps -2/3) -2))
✓	99.4%	(*.f64 eps -2/3)

Compiler

Compiled 51 to 36 computations (29.4% saved)

series6.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	0	(*.f64 -2/3 (pow.f64 eps 3))
1.0ms	eps	@	0	(.f64 eps (fma.f64 eps (.f64 eps -2/3) -2))
1.0ms	eps	@	-inf	(.f64 eps (fma.f64 eps (.f64 eps -2/3) -2))
1.0ms	eps	@	inf	(.f64 eps (fma.f64 eps (.f64 eps -2/3) -2))
0.0ms	eps	@	inf	(*.f64 eps -2/3)

rewrite104.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1054×	`log-prod`
800×	`exp-prod`
666×	`prod-exp`
624×	`pow-prod-down`
528×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	250	41
2	2749	41

Stop Event

1×	node limit

Counts

3 → 99

Calls

Call 1

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

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

simplify85.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1390×	`fma-def`
924×	`unswap-sqr`
884×	`prod-exp`
810×	`log-prod`
772×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	244	2221
1	544	2129
2	1487	2129
3	6092	2129

Stop Event

1×	node limit

Counts

123 → 116

Calls

Call 1

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

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

eval129.0ms (1.9%)

Compiler: Compiled 1516 to 1101 computations (27.4% saved)

prune16.0ms (0.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	1	1
Picked	2	1	3
Done	0	2	2
Total	117	5	122

Accuracy

100.0%

Counts

122 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
▶	99.5%	(+.f64 (.f64 (.f64 eps (.f64 eps -2/3)) eps) (.f64 -2 eps))
✓	99.4%	(*.f64 -2 eps)
✓	7.6%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
	5.2%	0
✓	100.0%	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
▶	99.5%	(+.f64 (.f64 (.f64 eps (.f64 eps -2/3)) eps) (.f64 -2 eps))
✓	99.4%	(*.f64 -2 eps)
✓	7.6%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
	5.2%	0

Compiler

Compiled 68 to 50 computations (26.5% saved)

localize39.0ms (0.6%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	99.9%	(.f64 (.f64 eps (*.f64 eps -2/3)) eps)
✓	99.8%	(.f64 eps (.f64 eps -2/3))
	99.4%	(*.f64 eps -2/3)

Compiler

Compiled 34 to 22 computations (35.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite93.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1290×	`pow1`
1186×	`add-exp-log`
1186×	`log1p-expm1-u`
1186×	`expm1-log1p-u`
1160×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	32
1	142	26
2	1644	26

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

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

simplify82.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1386×	`log-prod`
1128×	`fma-def`
922×	`distribute-rgt-in`
888×	`distribute-lft-in`
702×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	598
1	141	598
2	582	598
3	2096	598
4	7458	598

Stop Event

1×	node limit

Counts

46 → 25

Calls

Call 1

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

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

eval15.0ms (0.2%)

Compiler: Compiled 778 to 577 computations (25.8% saved)

prune18.0ms (0.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	54	5	59

Accuracy

100.0%

Counts

59 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
✓	99.5%	(+.f64 (.f64 (.f64 eps (.f64 eps -2/3)) eps) (.f64 -2 eps))
✓	99.4%	(*.f64 -2 eps)
✓	7.6%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
	5.2%	0
✓	100.0%	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
✓	99.5%	(+.f64 (.f64 (.f64 eps (.f64 eps -2/3)) eps) (.f64 -2 eps))
✓	99.4%	(*.f64 -2 eps)
✓	7.6%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
	5.2%	0

Compiler

Compiled 68 to 50 computations (26.5% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune3.0ms (0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
✓	99.5%	(+.f64 (.f64 (.f64 eps (.f64 eps -2/3)) eps) (.f64 -2 eps))
✓	99.4%	(*.f64 -2 eps)
✓	7.6%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
	5.2%	0

Compiler

Compiled 81 to 58 computations (28.4% saved)

regimes15.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

Inputs
0
(*.f64 -2 eps)
(+.f64 (.f64 (.f64 eps (.f64 eps -2/3)) eps) (.f64 -2 eps))
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(.f64 eps (fma.f64 eps (.f64 eps -2/3) -2))
(+.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:

8.0ms	eps
2.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
2.0ms	(log.f64 (/.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 66 to 47 computations (28.8% saved)

regimes11.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.5%	1	`eps`
99.5%	1	`(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))`
99.5%	1	`(/.f64 (-.f64 1 eps) (+.f64 1 eps))`

Compiler

Compiled 60 to 43 computations (28.3% saved)

regimes4.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
0
(*.f64 -2 eps)

Outputs
(*.f64 -2 eps)

Calls

1 calls:

3.0ms

eps

Results

Accuracy	Segments	Branch
99.4%	1	`eps`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes4.0ms (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
5.2%	1	`eps`

Compiler

Compiled 4 to 3 computations (25% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	58
1	26	58
2	31	58
3	34	58
4	35	58

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(+.f64 (.f64 (.f64 eps (.f64 eps -2/3)) eps) (.f64 -2 eps))
(*.f64 -2 eps)
0

Outputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(+.f64 (.f64 (.f64 eps (.f64 eps -2/3)) eps) (.f64 -2 eps))
(+.f64 (.f64 eps (.f64 eps (.f64 eps -2/3))) (.f64 eps -2))
(*.f64 -2 eps)
(*.f64 eps -2)
0

Compiler

Compiled 25 to 18 computations (28% saved)

soundness1.1s (15.3%)

Rules

8722×	`fma-def`
1534×	`prod-diff`
1482×	`fma-def`
1230×	`fma-neg`
1220×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	73
1	37	57
2	70	57
3	148	57
4	377	57
5	984	57
6	1861	57
7	2532	57
8	3523	57
9	4766	57
10	5322	57
11	5483	57
12	5658	57
13	6107	57
14	7004	57
15	7072	57
16	7104	57
17	7124	57
18	7216	57
19	7357	57
20	7477	57
21	7477	57
0	13	57
1	279	49
2	3805	3
0	64	945
1	182	935
2	460	929
3	1293	917
4	3996	909
0	12	41
1	250	41
2	2749	41

Stop Event

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

Compiler

Compiled 306 to 223 computations (27.1% saved)

end0.0ms (0%)

preprocess63.0ms (0.9%)

Compiler: Compiled 94 to 70 computations (25.5% saved)

analyze9.0ms (0.1%)

sample4.3s (62.4%)

preprocess397.0ms (5.8%)

eval0.0ms (0%)

prune2.0ms (0%)

localize145.0ms (2.1%)

series4.0ms (0.1%)

rewrite106.0ms (1.5%)

simplify73.0ms (1.1%)

eval18.0ms (0.3%)

prune13.0ms (0.2%)

localize78.0ms (1.1%)

series6.0ms (0.1%)

rewrite104.0ms (1.5%)

simplify85.0ms (1.2%)

eval129.0ms (1.9%)

prune16.0ms (0.2%)

localize39.0ms (0.6%)

series1.0ms (0%)

rewrite93.0ms (1.3%)

simplify82.0ms (1.2%)

eval15.0ms (0.2%)

prune18.0ms (0.3%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0%)

regimes15.0ms (0.2%)

regimes11.0ms (0.2%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

simplify6.0ms (0.1%)

soundness1.1s (15.3%)

end0.0ms (0%)

preprocess63.0ms (0.9%)

Profiling