Metrics for logq (problem 3.4.3)

analyze4.0ms (0%)

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)

sample6.3s (69.2%)

Results

3.6s	4171×	body	1024	valid
1.3s	2046×	body	512	valid
921.0ms	423×	body	2048	valid
465.0ms	1616×	body	256	valid
2.0ms	12×	body	256	invalid

Bogosity

preprocess452.0ms (4.9%)

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))
▶	8.2%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
▶	100.0%	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
▶	8.2%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

Compiler

Compiled 32 to 24 computations (25% saved)

localize250.0ms (2.7%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log1p.f64 eps)
✓	100.0%	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
✓	100.0%	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
✓	8.2%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

Compiler

Compiled 39 to 22 computations (43.6% saved)

series12.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	0	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
3.0ms	eps	@	0	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
1.0ms	eps	@	inf	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
1.0ms	eps	@	0	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
1.0ms	eps	@	-inf	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))

rewrite293.0ms (3.2%)

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	62
1	279	54
2	3805	8

Stop Event

1×	node limit

Counts

4 → 49

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))
(log1p.f64 eps)

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

simplify205.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

900×	`associate-+l+`
872×	`associate-+r+`
780×	`cancel-sign-sub-inv`
518×	`*-commutative`
498×	`distribute-lft-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	211	2085
1	525	1955
2	2020	1949

Stop Event

1×	node limit

Counts

97 → 154

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

Outputs
(*.f64 -2 eps)
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (+.f64 (.f64 -2/7 (pow.f64 eps 7)) (.f64 -2/3 (pow.f64 eps 3)))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/7 (pow.f64 eps 7) (*.f64 -2/3 (pow.f64 eps 3)))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/7 (pow.f64 eps 7)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (/.f64 2 eps))
(+.f64 (log.f64 -1) (/.f64 -2 eps))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))))
(-.f64 (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 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 (log.f64 -1) (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5)))))
(+.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 eps)) (/.f64 2/3 (pow.f64 eps 3)))
(+.f64 (log.f64 -1) (-.f64 (/.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 (log.f64 -1) (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5)))))
(+.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))
(+.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)))
-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 (/.f64 2 eps) (/.f64 2 (pow.f64 eps 3))) (+.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 (+.f64 -1 (/.f64 2 eps)) (+.f64 (/.f64 -2 (*.f64 eps eps)) (/.f64 2 (pow.f64 eps 3))))
-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 (/.f64 2 eps) (/.f64 2 (pow.f64 eps 3))) (+.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 (+.f64 -1 (/.f64 2 eps)) (+.f64 (/.f64 -2 (*.f64 eps eps)) (/.f64 2 (pow.f64 eps 3))))
(*.f64 -2 eps)
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (+.f64 (.f64 -2/7 (pow.f64 eps 7)) (.f64 -2/3 (pow.f64 eps 3)))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/7 (pow.f64 eps 7) (*.f64 -2/3 (pow.f64 eps 3)))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/7 (pow.f64 eps 7)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (/.f64 2 eps))
(+.f64 (log.f64 -1) (/.f64 -2 eps))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))))
(-.f64 (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 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 (log.f64 -1) (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5)))))
(+.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) (/.f64 2/3 (pow.f64 eps 3))) (log.f64 -1))
(-.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))) (log.f64 -1)) (/.f64 -2/5 (pow.f64 eps 5)))
eps
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) eps)
(fma.f64 -1/2 (*.f64 eps eps) eps)
(fma.f64 (*.f64 eps eps) -1/2 eps)
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 eps (.f64 1/3 (pow.f64 eps 3))))
(+.f64 (fma.f64 -1/2 (.f64 eps eps) eps) (.f64 (pow.f64 eps 3) 1/3))
(fma.f64 (*.f64 eps eps) -1/2 (fma.f64 (pow.f64 eps 3) 1/3 eps))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (*.f64 -1/4 (pow.f64 eps 4)))))
(+.f64 (fma.f64 -1/2 (.f64 eps eps) eps) (fma.f64 1/3 (pow.f64 eps 3) (.f64 -1/4 (pow.f64 eps 4))))
(+.f64 (fma.f64 (.f64 eps eps) -1/2 eps) (fma.f64 (pow.f64 eps 3) 1/3 (.f64 -1/4 (pow.f64 eps 4))))
(*.f64 -1 (log.f64 (/.f64 1 eps)))
(neg.f64 (neg.f64 (log.f64 eps)))
(log.f64 eps)
(+.f64 (/.f64 1 eps) (*.f64 -1 (log.f64 (/.f64 1 eps))))
(+.f64 (/.f64 1 eps) (neg.f64 (neg.f64 (log.f64 eps))))
(+.f64 (/.f64 1 eps) (log.f64 eps))
(-.f64 (+.f64 (/.f64 1 eps) (.f64 -1 (log.f64 (/.f64 1 eps)))) (.f64 1/2 (/.f64 1 (pow.f64 eps 2))))
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (neg.f64 (log.f64 eps))) (/.f64 1/2 (*.f64 eps eps))))
(+.f64 (log.f64 eps) (-.f64 (/.f64 1 eps) (/.f64 (/.f64 1/2 eps) eps)))
(+.f64 (/.f64 1 eps) (-.f64 (log.f64 eps) (/.f64 1/2 (*.f64 eps eps))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (.f64 -1 (log.f64 (/.f64 1 eps))) (.f64 1/3 (/.f64 1 (pow.f64 eps 3))))) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2))))
(+.f64 (/.f64 1 eps) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 eps)) (/.f64 1/3 (pow.f64 eps 3))) (/.f64 1/2 (*.f64 eps eps))))
(+.f64 (/.f64 1 eps) (+.f64 (log.f64 eps) (-.f64 (/.f64 1/3 (pow.f64 eps 3)) (/.f64 (/.f64 1/2 eps) eps))))
(+.f64 (/.f64 1 eps) (+.f64 (/.f64 1/3 (pow.f64 eps 3)) (-.f64 (log.f64 eps) (/.f64 1/2 (*.f64 eps eps)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (log.f64 -1))
(fma.f64 -1 (log.f64 (/.f64 -1 eps)) (log.f64 -1))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 eps)))
(+.f64 (/.f64 1 eps) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 eps)))))
(+.f64 (/.f64 1 eps) (fma.f64 -1 (log.f64 (/.f64 -1 eps)) (log.f64 -1)))
(-.f64 (+.f64 (log.f64 -1) (/.f64 1 eps)) (log.f64 (/.f64 -1 eps)))
(+.f64 (log.f64 -1) (-.f64 (/.f64 1 eps) (log.f64 (/.f64 -1 eps))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 eps))))) (.f64 1/2 (/.f64 1 (pow.f64 eps 2))))
(-.f64 (+.f64 (/.f64 1 eps) (fma.f64 -1 (log.f64 (/.f64 -1 eps)) (log.f64 -1))) (/.f64 1/2 (*.f64 eps eps)))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 eps))) (+.f64 (/.f64 1 eps) (/.f64 -1/2 (*.f64 eps eps))))
(+.f64 (-.f64 (/.f64 1 eps) (log.f64 (/.f64 -1 eps))) (-.f64 (log.f64 -1) (/.f64 1/2 (*.f64 eps eps))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 eps))) (.f64 1/3 (/.f64 1 (pow.f64 eps 3)))))) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 eps)) (/.f64 1/3 (pow.f64 eps 3))))) (/.f64 1/2 (*.f64 eps eps)))
(+.f64 (/.f64 1 eps) (+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 eps))) (-.f64 (/.f64 1/3 (pow.f64 eps 3)) (/.f64 (/.f64 1/2 eps) eps))))
(+.f64 (/.f64 1/3 (pow.f64 eps 3)) (+.f64 (-.f64 (/.f64 1 eps) (log.f64 (/.f64 -1 eps))) (-.f64 (log.f64 -1) (/.f64 1/2 (*.f64 eps eps)))))
0
1
0
(+.f64 (log1p.f64 eps) 0)
(log1p.f64 eps)
(+.f64 0 (log1p.f64 eps))
(log1p.f64 eps)
(+.f64 (log1p.f64 (pow.f64 eps 3)) (log.f64 (/.f64 1 (+.f64 1 (fma.f64 eps eps eps)))))
(+.f64 (log1p.f64 (pow.f64 eps 3)) (neg.f64 (log.f64 (+.f64 1 (fma.f64 eps eps eps)))))
(-.f64 (log1p.f64 (pow.f64 eps 3)) (log1p.f64 (fma.f64 eps eps eps)))
(+.f64 (log1p.f64 (*.f64 eps eps)) (neg.f64 (log1p.f64 eps)))
(-.f64 (log1p.f64 (*.f64 eps eps)) (log1p.f64 eps))
(+.f64 (.f64 2 (.f64 1/3 (log1p.f64 eps))) (*.f64 1/3 (log1p.f64 eps)))
(log1p.f64 eps)
(+.f64 (.f64 1/2 (log1p.f64 eps)) (.f64 1/2 (log1p.f64 eps)))
(log1p.f64 eps)
(+.f64 (.f64 1/3 (log1p.f64 eps)) (.f64 2 (*.f64 1/3 (log1p.f64 eps))))
(log1p.f64 eps)
(+.f64 (log.f64 (/.f64 (+.f64 1 (*.f64 eps eps)) (+.f64 1 (pow.f64 eps 3)))) (log1p.f64 (fma.f64 eps eps eps)))
(+.f64 (log.f64 (/.f64 (+.f64 1 (*.f64 eps eps)) (+.f64 (pow.f64 eps 3) 1))) (log1p.f64 (fma.f64 eps eps eps)))
(+.f64 (-.f64 (log1p.f64 (*.f64 eps eps)) (log1p.f64 (pow.f64 eps 3))) (log1p.f64 (fma.f64 eps eps eps)))
(+.f64 (log.f64 (/.f64 (+.f64 1 (.f64 eps eps)) (+.f64 1 (.f64 eps eps)))) (log1p.f64 eps))
(log1p.f64 eps)
(-.f64 0 (log.f64 (/.f64 (+.f64 1 eps) (+.f64 1 (*.f64 eps eps)))))
(-.f64 (log1p.f64 (*.f64 eps eps)) (log1p.f64 eps))
(-.f64 0 (log.f64 (/.f64 (+.f64 1 (fma.f64 eps eps eps)) (+.f64 1 (pow.f64 eps 3)))))
(+.f64 (log1p.f64 (pow.f64 eps 3)) (neg.f64 (log.f64 (+.f64 1 (fma.f64 eps eps eps)))))
(-.f64 (log1p.f64 (pow.f64 eps 3)) (log1p.f64 (fma.f64 eps eps eps)))
(-.f64 (log1p.f64 (pow.f64 eps 3)) (log1p.f64 (fma.f64 eps eps eps)))
(+.f64 (log1p.f64 (pow.f64 eps 3)) (neg.f64 (log.f64 (+.f64 1 (fma.f64 eps eps eps)))))
(-.f64 (log1p.f64 (pow.f64 eps 3)) (log.f64 (fma.f64 eps eps (+.f64 1 eps))))
(+.f64 (log1p.f64 (pow.f64 eps 3)) (neg.f64 (log.f64 (+.f64 1 (fma.f64 eps eps eps)))))
(-.f64 (log1p.f64 (pow.f64 eps 3)) (log1p.f64 (fma.f64 eps eps eps)))
(-.f64 (log1p.f64 (*.f64 eps eps)) (log1p.f64 eps))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 eps))) 1)
(log1p.f64 eps)
(-.f64 (log.f64 (neg.f64 (+.f64 1 (*.f64 eps eps)))) (log.f64 (+.f64 eps -1)))
(-.f64 (log.f64 (+.f64 -1 (neg.f64 (*.f64 eps eps)))) (log.f64 (+.f64 eps -1)))
(-.f64 (log.f64 (-.f64 -1 (*.f64 eps eps))) (log.f64 (+.f64 eps -1)))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 eps 3)))) (log.f64 (neg.f64 (+.f64 1 (fma.f64 eps eps eps)))))
(-.f64 (log.f64 (+.f64 -1 (neg.f64 (pow.f64 eps 3)))) (log.f64 (neg.f64 (+.f64 1 (fma.f64 eps eps eps)))))
(-.f64 (log.f64 (-.f64 -1 (pow.f64 eps 3))) (log.f64 (-.f64 -1 (fma.f64 eps eps eps))))
(-.f64 (log.f64 (fma.f64 eps eps -1)) (log.f64 (+.f64 eps -1)))
(-.f64 (log.f64 (/.f64 (+.f64 1 (*.f64 eps eps)) 1)) (log1p.f64 eps))
(-.f64 (log1p.f64 (*.f64 eps eps)) (log1p.f64 eps))
(-.f64 (log.f64 (/.f64 (+.f64 1 (.f64 eps eps)) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))) (.f64 1/3 (log1p.f64 eps)))
(-.f64 (log.f64 (/.f64 (+.f64 1 (.f64 eps eps)) (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2))) (.f64 1/3 (log1p.f64 eps)))
(+.f64 (log.f64 (/.f64 (fma.f64 eps eps 1) (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2))) (*.f64 (log1p.f64 eps) -1/3))
(-.f64 (log.f64 (/.f64 (+.f64 1 (.f64 eps eps)) (hypot.f64 1 (sqrt.f64 eps)))) (.f64 1/2 (log1p.f64 eps)))
(+.f64 (log.f64 (/.f64 (+.f64 1 (.f64 eps eps)) (hypot.f64 1 (sqrt.f64 eps)))) (.f64 -1/2 (log1p.f64 eps)))
(+.f64 (log.f64 (/.f64 (fma.f64 eps eps 1) (hypot.f64 1 (sqrt.f64 eps)))) (*.f64 -1/2 (log1p.f64 eps)))
(*.f64 1 (log1p.f64 eps))
(log1p.f64 eps)
(*.f64 (log1p.f64 eps) 1)
(log1p.f64 eps)
(*.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2))
(log1p.f64 eps)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)))
(log1p.f64 eps)
(*.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)))
(log1p.f64 eps)
(.f64 3 (.f64 1/3 (log1p.f64 eps)))
(log1p.f64 eps)
(.f64 2 (.f64 1/2 (log1p.f64 eps)))
(log1p.f64 eps)
(.f64 1/3 (.f64 3 (log1p.f64 eps)))
(log1p.f64 eps)
(pow.f64 (log1p.f64 eps) 1)
(log1p.f64 eps)
(pow.f64 (cbrt.f64 (log1p.f64 eps)) 3)
(log1p.f64 eps)
(pow.f64 (pow.f64 (log1p.f64 eps) 3) 1/3)
(log1p.f64 eps)
(pow.f64 (sqrt.f64 (log1p.f64 eps)) 2)
(log1p.f64 eps)
(neg.f64 (log.f64 (/.f64 (+.f64 1 eps) (+.f64 1 (*.f64 eps eps)))))
(-.f64 (log1p.f64 (*.f64 eps eps)) (log1p.f64 eps))
(neg.f64 (log.f64 (/.f64 (+.f64 1 (fma.f64 eps eps eps)) (+.f64 1 (pow.f64 eps 3)))))
(+.f64 (log1p.f64 (pow.f64 eps 3)) (neg.f64 (log.f64 (+.f64 1 (fma.f64 eps eps eps)))))
(-.f64 (log1p.f64 (pow.f64 eps 3)) (log1p.f64 (fma.f64 eps eps eps)))
(sqrt.f64 (pow.f64 (log1p.f64 eps) 2))
(log1p.f64 eps)
(log.f64 (+.f64 1 eps))
(log1p.f64 eps)
(cbrt.f64 (pow.f64 (log1p.f64 eps) 3))
(log1p.f64 eps)
(expm1.f64 (log1p.f64 (log1p.f64 eps)))
(log1p.f64 eps)
(exp.f64 (log.f64 (log1p.f64 eps)))
(log1p.f64 eps)
(exp.f64 (*.f64 (log.f64 (log1p.f64 eps)) 1))
(log1p.f64 eps)
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 eps)) 1) 1))
(log1p.f64 eps)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 eps))) 3))
(log1p.f64 eps)
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 eps))) 1/3))
(log1p.f64 eps)
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 eps)) 3) 1/3))
(log1p.f64 eps)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 eps))) 2))
(log1p.f64 eps)

eval43.0ms (0.5%)

Compiler: Compiled 2173 to 1366 computations (37.1% saved)

prune22.0ms (0.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	151	3	154
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	151	5	156

Accuracy

100.0%

Counts

156 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
▶	99.3%	(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
▶	98.9%	(*.f64 -2 eps)
✓	8.2%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
	5.3%	0
✓	100.0%	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
▶	99.3%	(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
▶	98.9%	(*.f64 -2 eps)
✓	8.2%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
	5.3%	0

Compiler

Compiled 64 to 50 computations (21.9% saved)

localize103.0ms (1.1%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	99.7%	(*.f64 -2/3 (pow.f64 eps 3))

Compiler

Compiled 31 to 23 computations (25.8% saved)

series5.0ms (0.1%)

Counts

1 → 0

Calls

3 calls:

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

rewrite108.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

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

simplify119.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

11 → 14

Calls

Call 1

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

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

eval4.0ms (0%)

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

prune5.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	1	1
Picked	0	2	2
Done	0	2	2
Total	14	5	19

Accuracy

100.0%

Counts

19 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
✓	99.3%	(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
✓	98.9%	(*.f64 -2 eps)
✓	8.2%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
	5.3%	0
✓	100.0%	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
✓	99.3%	(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
✓	98.9%	(*.f64 -2 eps)
✓	8.2%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
	5.3%	0

Compiler

Compiled 64 to 50 computations (21.9% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune4.0ms (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))
✓	99.3%	(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
✓	98.9%	(*.f64 -2 eps)
✓	8.2%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
	5.3%	0
✓	100.0%	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
✓	99.3%	(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
✓	98.9%	(*.f64 -2 eps)
✓	8.2%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
	5.3%	0

Compiler

Compiled 64 to 50 computations (21.9% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune8.0ms (0.1%)

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))
✓	99.3%	(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
✓	98.9%	(*.f64 -2 eps)
✓	8.2%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
	5.3%	0

Compiler

Compiled 60 to 46 computations (23.3% saved)

regimes10.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	eps
2.0ms	(/.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 47 to 35 computations (25.5% saved)

regimes12.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	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
99.3%	1	`eps`
99.3%	1	`(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))`
99.3%	1	`(/.f64 (-.f64 1 eps) (+.f64 1 eps))`

Compiler

Compiled 41 to 31 computations (24.4% saved)

regimes11.0ms (0.1%)

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:

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

Results

Accuracy	Segments	Branch
98.9%	1	`eps`
98.9%	1	`(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))`
98.9%	1	`(/.f64 (-.f64 1 eps) (+.f64 1 eps))`

Compiler

Compiled 32 to 24 computations (25% saved)

regimes3.0ms (0%)

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
5.3%	1	`eps`

Compiler

Compiled 4 to 3 computations (25% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	52
1	24	52
2	29	52
3	32	52
4	33	52

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 23 to 18 computations (21.7% saved)

soundness956.0ms (10.5%)

Rules

8722×	`fma-def`
1534×	`prod-diff`
1220×	`unsub-neg`
1030×	`fma-neg`
920×	`log-prod`

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	62
1	279	54
2	3805	8

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 181 to 136 computations (24.9% saved)

end0.0ms (0%)

preprocess180.0ms (2%)

Compiler: Compiled 90 to 70 computations (22.2% saved)

analyze4.0ms (0%)

sample6.3s (69.2%)

preprocess452.0ms (4.9%)

eval0.0ms (0%)

prune2.0ms (0%)

localize250.0ms (2.7%)

series12.0ms (0.1%)

rewrite293.0ms (3.2%)

simplify205.0ms (2.2%)

eval43.0ms (0.5%)

prune22.0ms (0.2%)

localize103.0ms (1.1%)

series5.0ms (0.1%)

rewrite108.0ms (1.2%)

simplify119.0ms (1.3%)

eval4.0ms (0%)

prune5.0ms (0.1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune4.0ms (0%)

localize0.0ms (0%)

eval0.0ms (0%)

prune8.0ms (0.1%)

regimes10.0ms (0.1%)

regimes12.0ms (0.1%)

regimes11.0ms (0.1%)

regimes3.0ms (0%)

simplify6.0ms (0.1%)

soundness956.0ms (10.5%)

end0.0ms (0%)

preprocess180.0ms (2%)

Profiling