Details

analyze201.0ms (1.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
50%	50%	50%	0.1%	0%	0%	0%	5
50%	50%	50%	0.1%	0%	0%	0%	6
50%	50%	50%	0.1%	0%	0%	0%	7
50%	50%	50%	0.1%	0%	0%	0%	8
50%	50%	50%	0.1%	0%	0%	0%	9
50%	50%	50%	0.1%	0%	0%	0%	10
50%	50%	50%	0.1%	0%	0%	0%	11
50%	50%	50%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample11.1s (62.1%)

Results

8.6s	7525×	body	8192	exit
1.2s	1990×	body	1024	valid
764.0ms	5062×	body	256	valid
318.0ms	999×	body	512	valid
166.0ms	205×	body	2048	valid

Bogosity

preprocess13.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

2×	`swap-a-b`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	11	38
0	2	2
1	2	2

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

Inputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))

Outputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Symmetry

(sort a b)

Compiler

Compiled 10 to 8 computations (20% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	10	19

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Outputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

eval0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accurracy

54.4%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.4%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 8 to 6 computations (25% saved)

localize8.0ms (0%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (exp.f64 a) (exp.f64 b))
✓	94.3%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series101.0ms (0.6%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
48.0ms	b	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
23.0ms	a	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
16.0ms	a	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
11.0ms	b	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	a	@	0	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite66.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1808×	`add-sqr-sqrt`
1792×	`*-un-lft-identity`
1664×	`add-cube-cbrt`
1644×	`add-cbrt-cube`
184×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	34
1	177	34
2	2227	34

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

Inputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 a) (exp.f64 b))

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

Outputs

((+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (+.f64 0 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))) (-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) (-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1) (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1) (*.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (*.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (*.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1) (pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3) (pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3) (sqrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)) (expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)) (log1p.f64 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)))

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

simplify81.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1090×	`fma-def`
1004×	`unswap-sqr`
902×	`distribute-lft-in`
844×	`distribute-rgt-in`
516×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	2618
1	499	2362
2	1982	2350
3	7711	2350

Stop Event

1×	node limit

Counts

74 → 115

Calls

Call 1

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

Outputs
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b)))))
(fma.f64 1/2 (.f64 (.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (log1p.f64 (exp.f64 b)) (fma.f64 (.f64 a (.f64 a 1/2)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (log1p.f64 (exp.f64 b)) (fma.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (.f64 a (.f64 a 1/2)) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (log.f64 (+.f64 1 (exp.f64 b))) (.f64 1/6 (.f64 (pow.f64 a 3) (-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))))
(fma.f64 1/2 (.f64 (.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (log1p.f64 (exp.f64 b)) (.f64 1/6 (.f64 (pow.f64 a 3) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))))
(+.f64 (fma.f64 1/6 (.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (log1p.f64 (exp.f64 b))) (fma.f64 (.f64 a (*.f64 a 1/2)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (fma.f64 1/6 (.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (log1p.f64 (exp.f64 b))) (fma.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (.f64 a (*.f64 a 1/2)) (/.f64 a (+.f64 1 (exp.f64 b)))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (.f64 b (.f64 b (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (fma.f64 (*.f64 b b) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (log1p.f64 (exp.f64 a))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(fma.f64 1/6 (.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (fma.f64 1/2 (.f64 b (.f64 b (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (/.f64 b (+.f64 1 (exp.f64 a)))) (fma.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (log1p.f64 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/6 (.f64 (pow.f64 b 3) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (fma.f64 (.f64 b b) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 1 (exp.f64 b))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 (exp.f64 b) a))
(+.f64 (exp.f64 b) (+.f64 1 a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b))))
(fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a)))
(+.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) 1) a) (exp.f64 b))
(fma.f64 a (*.f64 a 1/2) (+.f64 (exp.f64 b) (+.f64 1 a)))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (+.f64 (.f64 1/6 (pow.f64 a 3)) (exp.f64 b)))))
(fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)))))
(+.f64 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))) (fma.f64 1/2 (*.f64 a a) 1))
(+.f64 1 (fma.f64 a (*.f64 a 1/2) (+.f64 (exp.f64 b) (fma.f64 1/6 (pow.f64 a 3) a))))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))
(+.f64 (.f64 1/6 (pow.f64 b 3)) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (pow.f64 b 2))))))
(fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
(+.f64 (+.f64 (fma.f64 1/6 (pow.f64 b 3) 1) (exp.f64 a)) (fma.f64 1/2 (*.f64 b b) b))
(+.f64 b (+.f64 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)) (fma.f64 1/6 (pow.f64 b 3) 1)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(+.f64 0 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1)
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(*.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(log1p.f64 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(+.f64 (exp.f64 b) (exp.f64 a))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(+.f64 (exp.f64 b) (exp.f64 a))
(*.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 b) (exp.f64 a))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(+.f64 (exp.f64 b) (exp.f64 a))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(*.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a)))
(.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a))))
(/.f64 1 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))))
(.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
(.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a b)))))
(.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a))))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2)) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a))))
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3) 1/3)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (exp.f64 1) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))
(+.f64 (exp.f64 b) (exp.f64 a))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (exp.f64 b) (exp.f64 a))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
(+.f64 (exp.f64 b) (exp.f64 a))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(exp.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 1 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 1 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))

eval65.0ms (0.4%)

Compiler: Compiled 1984 to 1041 computations (47.5% saved)

prune21.0ms (0.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	107	8	115
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	8	116

Accurracy

98.7%

Counts

116 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.8%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
	97.3%	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
	50.5%	(log1p.f64 (exp.f64 b))
▶	50.3%	(log1p.f64 (exp.f64 a))
	52.0%	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
▶	52.8%	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
▶	50.5%	(log.f64 (+.f64 1 (exp.f64 b)))
▶	54.0%	(expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

Compiler

Compiled 142 to 108 computations (23.9% saved)

localize11.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(log1p.f64 (exp.f64 a))
✓	100.0%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))

Compiler

Compiled 30 to 14 computations (53.3% saved)

series43.0ms (0.2%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
28.0ms	a	@	inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
11.0ms	a	@	-inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
3.0ms	b	@	0	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
1.0ms	a	@	0	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
0.0ms	b	@	inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))

rewrite87.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1560×	`associate-*r/`
1070×	`*-commutative`
990×	`associate-*l/`
920×	`associate-/r*`
678×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	229	40
2	3055	40

Stop Event

1×	node limit

Counts

2 → 105

Calls

Call 1

Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(log1p.f64 (exp.f64 a))

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

Outputs

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

((+.f64 (log1p.f64 (exp.f64 a)) 0) (+.f64 0 (log1p.f64 (exp.f64 a))) (+.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2))) (+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)))) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)))) (+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)))) (+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)))) (-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))) (-.f64 (log.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (log.f64 (-.f64 1 (exp.f64 a)))) (-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a)))) 1) (-.f64 (+.f64 0 (log.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))) (-.f64 (+.f64 0 (log.f64 (-.f64 1 (exp.f64 (+.f64 a a))))) (log.f64 (-.f64 1 (exp.f64 a)))) (-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a))))) 1) (*.f64 (log1p.f64 (exp.f64 a)) 1) (*.f64 1 (log1p.f64 (exp.f64 a))) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a)))) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a)))) (pow.f64 (log1p.f64 (exp.f64 a)) 1) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) 2) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 3) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) 1/3) (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (log.f64 (+.f64 (exp.f64 a) 1)) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 a)))) (exp.f64 (log.f64 (log1p.f64 (exp.f64 a)))))

simplify99.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1814×	`associate-/r*`
992×	`associate-+r+`
892×	`associate-+l+`
724×	`+-commutative`
704×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	327	7919
1	865	7525
2	3852	7525

Stop Event

1×	node limit

Counts

141 → 183

Calls

Call 1

Inputs
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (.f64 1/8 (pow.f64 a 2))))
(+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (-.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1))))
(-.f64 (log.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (-.f64 (log.f64 (-.f64 1 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a)))) (-.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) (-.f64 1 (log1p.f64 (exp.f64 a))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(-.f64 (+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) 1)
(-.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(-.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (-.f64 1 (exp.f64 (+.f64 a a))))) (log.f64 (-.f64 1 (exp.f64 a))))
(-.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a))))) 1)
(*.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
(*.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 1)
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
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(/.f64 1 (/.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))
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(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))))
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(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) 1) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
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(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (/.f64 (+.f64 (exp.f64 a) 1) b))) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) 3) (pow.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) 3)) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (+.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (+.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (/.f64 (+.f64 (exp.f64 a) 1) b)) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) 3) (pow.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (+.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (-.f64 (.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) 1) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 1)
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2))
(log.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(fma.f64 b (/.f64 1 (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) 0)
(+.f64 0 (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(-.f64 (log.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (log.f64 (-.f64 1 (exp.f64 a))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a)))) 1)
(-.f64 (+.f64 0 (log.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(-.f64 (+.f64 0 (log.f64 (-.f64 1 (exp.f64 (+.f64 a a))))) (log.f64 (-.f64 1 (exp.f64 a))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a))))) 1)
(*.f64 (log1p.f64 (exp.f64 a)) 1)
(*.f64 1 (log1p.f64 (exp.f64 a)))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))))
(pow.f64 (log1p.f64 (exp.f64 a)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))
(log.f64 (+.f64 (exp.f64 a) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 a))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 a))))

Outputs
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 b -1/4)) a (fma.f64 1/2 b (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(fma.f64 (+.f64 1/2 (.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 (.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2))))
(fma.f64 (+.f64 1/2 (.f64 b -1/4)) a (fma.f64 1/2 b (fma.f64 (.f64 a a) 1/8 (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 -1 (.f64 (pow.f64 a 3) (fma.f64 1/24 b (fma.f64 -1/16 b (.f64 (.f64 b 0) -1/2)))) (fma.f64 (.f64 a a) (-.f64 1/8 (.f64 b 0)) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (.f64 b -1/4)) a (fma.f64 1/2 b (-.f64 (fma.f64 (.f64 a a) 1/8 (log.f64 2)) (.f64 (pow.f64 a 3) (+.f64 0 (.f64 b -1/48))))))
(-.f64 (fma.f64 (+.f64 1/2 (.f64 b -1/4)) a (fma.f64 1/2 b (fma.f64 (.f64 a a) 1/8 (log.f64 2)))) (.f64 (pow.f64 a 3) (+.f64 0 (.f64 b -1/48))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(fma.f64 1/2 a (log.f64 2))
(+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (.f64 1/8 (pow.f64 a 2))))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (.f64 (.f64 a a) 1/8))
(fma.f64 1/2 a (fma.f64 (*.f64 a a) 1/8 (log.f64 2)))
(+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 -1/192 (pow.f64 a 4) (.f64 (.f64 a a) 1/8)))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 (.f64 a a) 1/8 (.f64 -1/192 (pow.f64 a 4))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (-.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1))))
(+.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 a) 3)) (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 a) 3)) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (-.f64 (pow.f64 (exp.f64 2) a) (expm1.f64 a)))))
(-.f64 (log.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (-.f64 (log.f64 (-.f64 1 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1))))
(+.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (log.f64 (-.f64 1 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 2) a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (neg.f64 (exp.f64 a)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a)))) (-.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) (-.f64 1 (log1p.f64 (exp.f64 a))))
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(+.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 a) 3)) (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 a) 3)) (log.f64 (-.f64 (pow.f64 (exp.f64 2) a) (expm1.f64 a))))
(-.f64 (log.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (log.f64 (-.f64 1 (exp.f64 a))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 2) a))) (log1p.f64 (neg.f64 (exp.f64 a))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a)))) 1)
(log1p.f64 (exp.f64 a))
(-.f64 (+.f64 0 (log.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 a) 3)) (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 a) 3)) (log.f64 (-.f64 (pow.f64 (exp.f64 2) a) (expm1.f64 a))))
(-.f64 (+.f64 0 (log.f64 (-.f64 1 (exp.f64 (+.f64 a a))))) (log.f64 (-.f64 1 (exp.f64 a))))
(-.f64 (log.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (log.f64 (-.f64 1 (exp.f64 a))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 2) a))) (log1p.f64 (neg.f64 (exp.f64 a))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a))))) 1)
(log1p.f64 (exp.f64 a))
(*.f64 (log1p.f64 (exp.f64 a)) 1)
(log1p.f64 (exp.f64 a))
(*.f64 1 (log1p.f64 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))))
(log1p.f64 (exp.f64 a))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))
(log1p.f64 (exp.f64 a))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))))
(log1p.f64 (exp.f64 a))
(pow.f64 (log1p.f64 (exp.f64 a)) 1)
(log1p.f64 (exp.f64 a))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) 2)
(log1p.f64 (exp.f64 a))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 3)
(log1p.f64 (exp.f64 a))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) 1/3)
(log1p.f64 (exp.f64 a))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))
(fabs.f64 (log1p.f64 (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) 1))
(log1p.f64 (exp.f64 a))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3))
(log1p.f64 (exp.f64 a))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 a))))
(log1p.f64 (exp.f64 a))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 a))))
(log1p.f64 (exp.f64 a))

localize5.0ms (0%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(log1p.f64 (exp.f64 a))

Compiler

Compiled 8 to 4 computations (50% saved)

localize7.0ms (0%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 1 (exp.f64 b))
✓	98.4%	(log.f64 (+.f64 1 (exp.f64 b)))

Compiler

Compiled 15 to 9 computations (40% saved)

series29.0ms (0.2%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
17.0ms	b	@	-inf	(log.f64 (+.f64 1 (exp.f64 b)))
12.0ms	b	@	inf	(log.f64 (+.f64 1 (exp.f64 b)))
0.0ms	b	@	0	(log.f64 (+.f64 1 (exp.f64 b)))
0.0ms	b	@	0	(+.f64 1 (exp.f64 b))
0.0ms	b	@	inf	(+.f64 1 (exp.f64 b))

rewrite64.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1434×	`add-sqr-sqrt`
1418×	`*-un-lft-identity`
1318×	`add-cube-cbrt`
1304×	`add-cbrt-cube`
1290×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	153	20
2	1770	20

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (exp.f64 b)))
(+.f64 1 (exp.f64 b))

Outputs

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

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

simplify61.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1374×	`times-frac`
1146×	`associate-/l*`
738×	`associate-+r+`
660×	`associate-+l+`
648×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	141	1286
1	322	1180
2	1168	1000
3	3683	976

Stop Event

1×	node limit

Counts

62 → 91

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))))
(+.f64 0 (log1p.f64 (exp.f64 b)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))) (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 1 (exp.f64 b))))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(*.f64 1 (log1p.f64 (exp.f64 b)))
(*.f64 (log1p.f64 (exp.f64 b)) 1)
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(pow.f64 (log1p.f64 (exp.f64 b)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 b))) 1))
(log1p.f64 (exp.f64 b))
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 b))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(*.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 (+.f64 1 (exp.f64 b)) 1)
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) (hypot.f64 1 (sqrt.f64 (exp.f64 b))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (cbrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 1 (exp.f64 b))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 b) 2))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 1 (pow.f64 (exp.f64 b) 3))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) 1) (expm1.f64 b))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 1 (exp.f64 b))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(pow.f64 (+.f64 1 (exp.f64 b)) 1)
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) 1/3)
(pow.f64 (E.f64) (log1p.f64 (exp.f64 b)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 b))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b))))
(exp.f64 (log1p.f64 (exp.f64 b)))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 b))))
(fma.f64 1 (exp.f64 b) 1)
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) 1)

Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (log.f64 2)))
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (log.f64 2)))
(fma.f64 b (*.f64 b 1/8) (fma.f64 1/2 b (log.f64 2)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))
(fma.f64 1/2 b (+.f64 (fma.f64 1/8 (.f64 b b) (log.f64 2)) (.f64 -1/192 (pow.f64 b 4))))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))))
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))))
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b)))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(+.f64 (.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))))
(fma.f64 1/6 (pow.f64 b 3) (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
(+.f64 (fma.f64 1/2 (*.f64 b b) b) (fma.f64 1/6 (pow.f64 b 3) 2))
(+.f64 2 (fma.f64 1/6 (pow.f64 b 3) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 0 (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 2 (expm1.f64 b)))))
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))) (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))))
(*.f64 2 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 (expm1.f64 b)))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 b) 3)) (log1p.f64 (*.f64 (exp.f64 b) (expm1.f64 b))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 1 (exp.f64 b))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 b) 2))) (log1p.f64 (neg.f64 (exp.f64 b))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 b) 2))) (log.f64 (neg.f64 (expm1.f64 b))))
(-.f64 (log.f64 (neg.f64 (expm1.f64 (+.f64 b b)))) (log.f64 (neg.f64 (expm1.f64 b))))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(log1p.f64 (exp.f64 b))
(*.f64 1 (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(*.f64 (log1p.f64 (exp.f64 b)) 1)
(log1p.f64 (exp.f64 b))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))
(log1p.f64 (exp.f64 b))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(pow.f64 (log1p.f64 (exp.f64 b)) 1)
(log1p.f64 (exp.f64 b))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)
(log1p.f64 (exp.f64 b))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)
(log1p.f64 (exp.f64 b))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)
(log1p.f64 (exp.f64 b))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(log1p.f64 (exp.f64 b))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
(log1p.f64 (exp.f64 b))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 b))) 1))
(log1p.f64 (exp.f64 b))
(log1p.f64 (exp.f64 b))
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 b))) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (+.f64 2 (expm1.f64 b)) 1)
(*.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(*.f64 (+.f64 1 (exp.f64 b)) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) (hypot.f64 1 (sqrt.f64 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (cbrt.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (+.f64 2 (expm1.f64 b)) 1)
(.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 b) 2))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (+.f64 2 (expm1.f64 b)) 1)
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 1 (pow.f64 (exp.f64 b) 3))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (+.f64 2 (expm1.f64 b)) 1)
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) 1) (expm1.f64 b))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (+.f64 2 (expm1.f64 b)) 1)
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (+.f64 2 (expm1.f64 b)) 1)
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(pow.f64 (+.f64 1 (exp.f64 b)) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) 2)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 3)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) 1/3)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 b)))
(exp.f64 (log1p.f64 (exp.f64 b)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 b)))
(exp.f64 (log1p.f64 (exp.f64 b)))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 b)))
(exp.f64 (log1p.f64 (exp.f64 b)))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(exp.f64 (log1p.f64 (exp.f64 b)))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 b)))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(fma.f64 1 (exp.f64 b) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))

localize20.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(.f64 1/2 (.f64 b b))
✓	100.0%	(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))
✓	100.0%	(+.f64 b (.f64 1/2 (.f64 b b)))
✓	96.9%	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))

Compiler

Compiled 58 to 28 computations (51.7% saved)

series73.0ms (0.4%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
47.0ms	a	@	inf	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
22.0ms	a	@	-inf	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
1.0ms	a	@	0	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
0.0ms	b	@	inf	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
0.0ms	b	@	-inf	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))

rewrite98.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1766×	`associate-*r/`
1380×	`associate-*l/`
602×	`associate-+l+`
382×	`associate-+r+`
350×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	100
1	299	88
2	4054	88

Stop Event

1×	node limit

Counts

4 → 176

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
(+.f64 b (.f64 1/2 (.f64 b b)))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))
(.f64 1/2 (.f64 b b))

Outputs
((+.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))) 0) (+.f64 0 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) (+.f64 (log.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 2))) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))))) (+.f64 (log.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (log.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))))) (+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 2))) (log.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))))) (+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))))) (log.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))))) (-.f64 (log.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3))) (log.f64 (+.f64 1 (.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) (+.f64 (fma.f64 1/2 (.f64 b b) b) (expm1.f64 a)))))) (-.f64 (log.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2))) (log.f64 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) 1) (-.f64 (+.f64 0 (log.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3)))) (log.f64 (+.f64 1 (.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) (+.f64 (fma.f64 1/2 (.f64 b b) b) (expm1.f64 a)))))) (-.f64 (+.f64 0 (log.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2)))) (log.f64 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))))) 1) (.f64 1 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) (.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))) 1) (.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 2)) (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 2) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))) 1) (pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 2) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 3) (pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))) 3) 1/3) (sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))) 2)) (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))) 3)) (expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (exp.f64 (.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 1)) (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))
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(.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 b b) b) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) 1) (+.f64 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (exp.f64 a))) (-.f64 (pow.f64 (fma.f64 1/2 (.f64 b b) b) 2) (.f64 (+.f64 1 (exp.f64 a)) (fma.f64 1/2 (.f64 b b) b))))) (/.f64 (.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2))) 1) (neg.f64 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (/.f64 (.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3))) 1) (neg.f64 (+.f64 1 (.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) (+.f64 (fma.f64 1/2 (.f64 b b) b) (expm1.f64 a)))))) (/.f64 (.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3))) (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (sqrt.f64 (+.f64 1 (.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) (+.f64 (fma.f64 1/2 (.f64 b b) b) (expm1.f64 a)))))) (/.f64 (.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2))) (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (sqrt.f64 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (/.f64 (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 2)) (cbrt.f64 (+.f64 1 (.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) (+.f64 (fma.f64 1/2 (.f64 b b) b) (expm1.f64 a)))))) (/.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 2)) (cbrt.f64 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2) (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2))) (/.f64 1 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2))) (/.f64 (.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2) 3)) (/.f64 1 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (+.f64 1 (+.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2) (.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2) (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2))))) (/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3) (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3))) (/.f64 1 (+.f64 1 (.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) (+.f64 (fma.f64 1/2 (.f64 b b) b) (expm1.f64 a)))))) (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3))) (/.f64 (.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3) 3)) (/.f64 1 (+.f64 1 (.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) (+.f64 (fma.f64 1/2 (.f64 b b) b) (expm1.f64 a)))))) (+.f64 1 (-.f64 (.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3) (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3)) (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3)))) (pow.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))) 1) (pow.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 3) (pow.f64 (pow.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))) 3) 1/3) (pow.f64 (E.f64) (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 2)) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (sqrt.f64 (pow.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))) 2)) (log.f64 (exp.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))))) (cbrt.f64 (pow.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))) 3)) (expm1.f64 (log.f64 (+.f64 2 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) (log1p.f64 (expm1.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (fma.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 1) (fma.f64 (sqrt.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))) (sqrt.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))) 1) (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))) 1))
((-.f64 (exp.f64 (log1p.f64 (.f64 b (.f64 b 1/2)))) 1) (pow.f64 (.f64 b (.f64 b 1/2)) 1) (pow.f64 (.f64 b (sqrt.f64 1/2)) 2) (pow.f64 (cbrt.f64 (.f64 b (.f64 b 1/2))) 3) (pow.f64 (.f64 1/8 (pow.f64 (.f64 b b) 3)) 1/3) (sqrt.f64 (.f64 1/4 (pow.f64 b 4))) (log.f64 (pow.f64 (exp.f64 1/2) (.f64 b b))) (log.f64 (+.f64 1 (expm1.f64 (.f64 b (.f64 b 1/2))))) (cbrt.f64 (.f64 1/8 (pow.f64 (.f64 b b) 3))) (expm1.f64 (log1p.f64 (.f64 b (.f64 b 1/2)))) (exp.f64 (log.f64 (.f64 b (.f64 b 1/2)))) (exp.f64 (.f64 (log.f64 (.f64 b (.f64 b 1/2))) 1)) (log1p.f64 (expm1.f64 (.f64 b (.f64 b 1/2)))))

simplify185.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1104×	`associate-+r-`
1020×	`associate--r+`
744×	`associate-+l-`
584×	`fma-def`
528×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	536	11950
1	1437	11330
2	5860	11330

Stop Event

1×	node limit

Counts

248 → 309

Calls

Call 1

Inputs
(log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (log.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))) 2))))) (log.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) (-.f64 (+.f64 (/.f64 1 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))) 3)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))) 2)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))) 2))))) (log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/6 (.f64 (pow.f64 b 3) (-.f64 (.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (log.f64 1/2))
(+.f64 (log.f64 1/2) (+.f64 (.f64 -2 (log.f64 (/.f64 1 b))) (.f64 2 (/.f64 1 b))))
(+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 1 b))))))
(+.f64 (.f64 1/6 (/.f64 (+.f64 16 (.f64 -24 (+.f64 1 (exp.f64 a)))) (pow.f64 b 3))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 1 b)))))))
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))
(+.f64 (log.f64 1/2) (+.f64 (.f64 2 (/.f64 1 b)) (.f64 -2 (log.f64 (/.f64 -1 b)))))
(+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 -1 b))))))
(+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 b))) (.f64 -1/6 (/.f64 (-.f64 (.f64 24 (+.f64 1 (exp.f64 a))) 16) (pow.f64 b 3)))))))
b
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 b (.f64 1/2 (pow.f64 b 2))))))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 (.f64 1/6 (pow.f64 a 3)) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 0)
(+.f64 0 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (log.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))))
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(/.f64 (.f64 1 (-.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2) 1)) (+.f64 (fma.f64 1/2 (*.f64 b b) b) (expm1.f64 a)))
(/.f64 (.f64 1 (-.f64 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (exp.f64 a))) (pow.f64 (fma.f64 1/2 (.f64 b b) b) 2))) (+.f64 (exp.f64 a) (-.f64 1 (fma.f64 1/2 (.f64 b b) b))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 b b) b) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (+.f64 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (exp.f64 a))) (-.f64 (pow.f64 (fma.f64 1/2 (.f64 b b) b) 2) (.f64 (+.f64 1 (exp.f64 a)) (fma.f64 1/2 (.f64 b b) b)))))
(/.f64 (.f64 1 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2)))) (neg.f64 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(/.f64 (.f64 1 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3)))) (neg.f64 (+.f64 1 (.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) (+.f64 (fma.f64 1/2 (*.f64 b b) b) (expm1.f64 a))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3)))) (sqrt.f64 (+.f64 1 (.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) (+.f64 (fma.f64 1/2 (.f64 b b) b) (expm1.f64 a))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3)))) (cbrt.f64 (+.f64 1 (.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) (+.f64 (fma.f64 1/2 (.f64 b b) b) (expm1.f64 a))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2)))) (cbrt.f64 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2) 1) 1) (+.f64 (fma.f64 1/2 (*.f64 b b) b) (expm1.f64 a)))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (exp.f64 a))) (pow.f64 (fma.f64 1/2 (.f64 b b) b) 2)) 1) (+.f64 (exp.f64 a) (-.f64 1 (fma.f64 1/2 (.f64 b b) b))))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 b b) b) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) 1) (+.f64 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (exp.f64 a))) (-.f64 (pow.f64 (fma.f64 1/2 (.f64 b b) b) 2) (.f64 (+.f64 1 (exp.f64 a)) (fma.f64 1/2 (.f64 b b) b)))))
(/.f64 (.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2))) 1) (neg.f64 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(/.f64 (.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3))) 1) (neg.f64 (+.f64 1 (.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) (+.f64 (fma.f64 1/2 (*.f64 b b) b) (expm1.f64 a))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3))) (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (sqrt.f64 (+.f64 1 (.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) (+.f64 (fma.f64 1/2 (.f64 b b) b) (expm1.f64 a))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2))) (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (sqrt.f64 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 2)) (cbrt.f64 (+.f64 1 (.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) (+.f64 (fma.f64 1/2 (.f64 b b) b) (expm1.f64 a))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 2)) (cbrt.f64 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2) (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2))) (/.f64 1 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2) 3)) (/.f64 1 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (+.f64 1 (+.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2) (.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2) (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2)))))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3) (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3))) (/.f64 1 (+.f64 1 (.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) (+.f64 (fma.f64 1/2 (.f64 b b) b) (expm1.f64 a)))))) (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3)))
(/.f64 (.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3) 3)) (/.f64 1 (+.f64 1 (.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) (+.f64 (fma.f64 1/2 (.f64 b b) b) (expm1.f64 a)))))) (+.f64 1 (-.f64 (.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3) (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3)) (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 3))))
(pow.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 3) 1/3)
(pow.f64 (E.f64) (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 2)) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))))
(sqrt.f64 (pow.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 2))
(log.f64 (exp.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))))
(cbrt.f64 (pow.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 3))
(expm1.f64 (log.f64 (+.f64 2 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))
(log1p.f64 (expm1.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(fma.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 1)
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))) (sqrt.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 b (.f64 b 1/2)))) 1)
(pow.f64 (.f64 b (.f64 b 1/2)) 1)
(pow.f64 (*.f64 b (sqrt.f64 1/2)) 2)
(pow.f64 (cbrt.f64 (.f64 b (.f64 b 1/2))) 3)
(pow.f64 (.f64 1/8 (pow.f64 (.f64 b b) 3)) 1/3)
(sqrt.f64 (*.f64 1/4 (pow.f64 b 4)))
(log.f64 (pow.f64 (exp.f64 1/2) (*.f64 b b)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 b (.f64 b 1/2)))))
(cbrt.f64 (.f64 1/8 (pow.f64 (.f64 b b) 3)))
(expm1.f64 (log1p.f64 (.f64 b (.f64 b 1/2))))
(exp.f64 (log.f64 (.f64 b (.f64 b 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 b (*.f64 b 1/2))) 1))
(log1p.f64 (expm1.f64 (.f64 b (.f64 b 1/2))))

Outputs
(log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(log.f64 (+.f64 2 (*.f64 b (fma.f64 b 1/2 1))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (log.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))))
(+.f64 (log.f64 (+.f64 2 (fma.f64 1/2 (.f64 b b) b))) (/.f64 a (+.f64 2 (fma.f64 1/2 (.f64 b b) b))))
(+.f64 (log.f64 (+.f64 2 (.f64 b (fma.f64 b 1/2 1)))) (/.f64 a (+.f64 2 (.f64 b (fma.f64 b 1/2 1)))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))) 2))))) (log.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))))))
(+.f64 (/.f64 a (+.f64 2 (fma.f64 1/2 (.f64 b b) b))) (fma.f64 1/2 (.f64 (.f64 a a) (-.f64 (/.f64 1 (+.f64 2 (fma.f64 1/2 (.f64 b b) b))) (/.f64 1 (pow.f64 (+.f64 2 (fma.f64 1/2 (.f64 b b) b)) 2)))) (log.f64 (+.f64 2 (fma.f64 1/2 (.f64 b b) b)))))
(+.f64 (/.f64 a (+.f64 2 (.f64 b (fma.f64 b 1/2 1)))) (fma.f64 1/2 (.f64 a (.f64 a (+.f64 (/.f64 1 (+.f64 2 (.f64 b (fma.f64 b 1/2 1)))) (/.f64 -1 (pow.f64 (+.f64 2 (.f64 b (fma.f64 b 1/2 1))) 2))))) (log.f64 (+.f64 2 (.f64 b (fma.f64 b 1/2 1))))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) (-.f64 (+.f64 (/.f64 1 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))) 3)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))) 2)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))) 2))))) (log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))))
(+.f64 (/.f64 a (+.f64 2 (fma.f64 1/2 (.f64 b b) b))) (fma.f64 1/6 (.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 2 (fma.f64 1/2 (.f64 b b) b))) (-.f64 (/.f64 2 (pow.f64 (+.f64 2 (fma.f64 1/2 (.f64 b b) b)) 3)) (/.f64 3 (pow.f64 (+.f64 2 (fma.f64 1/2 (.f64 b b) b)) 2))))) (fma.f64 1/2 (.f64 (.f64 a a) (-.f64 (/.f64 1 (+.f64 2 (fma.f64 1/2 (.f64 b b) b))) (/.f64 1 (pow.f64 (+.f64 2 (fma.f64 1/2 (.f64 b b) b)) 2)))) (log.f64 (+.f64 2 (fma.f64 1/2 (.f64 b b) b))))))
(+.f64 (/.f64 a (+.f64 2 (.f64 b (fma.f64 b 1/2 1)))) (fma.f64 1/6 (.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 2 (.f64 b (fma.f64 b 1/2 1)))) (+.f64 (/.f64 2 (pow.f64 (+.f64 2 (.f64 b (fma.f64 b 1/2 1))) 3)) (/.f64 -3 (pow.f64 (+.f64 2 (.f64 b (fma.f64 b 1/2 1))) 2))))) (fma.f64 1/2 (.f64 a (.f64 a (+.f64 (/.f64 1 (+.f64 2 (.f64 b (fma.f64 b 1/2 1)))) (/.f64 -1 (pow.f64 (+.f64 2 (.f64 b (fma.f64 b 1/2 1))) 2))))) (log.f64 (+.f64 2 (.f64 b (fma.f64 b 1/2 1)))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(log1p.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(log1p.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(log1p.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(log1p.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(log1p.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(log1p.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(log1p.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(log1p.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (.f64 b (.f64 b (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/6 (.f64 (pow.f64 b 3) (-.f64 (.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/6 (.f64 (pow.f64 b 3) (-.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (fma.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/6 (.f64 (pow.f64 b 3) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (fma.f64 1/2 (.f64 b (*.f64 b (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (/.f64 b (+.f64 1 (exp.f64 a))))))
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(/.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (.f64 b (fma.f64 b 1/2 1))) 3)) (fma.f64 (+.f64 (exp.f64 a) (.f64 b (fma.f64 b 1/2 1))) (+.f64 (*.f64 b (fma.f64 b 1/2 1)) (expm1.f64 a)) 1))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3))) (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (sqrt.f64 (+.f64 1 (.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) (+.f64 (fma.f64 1/2 (.f64 b b) b) (expm1.f64 a))))))
(/.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) (/.f64 (sqrt.f64 (+.f64 1 (.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) (+.f64 (fma.f64 1/2 (.f64 b b) b) (expm1.f64 a))))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 3)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) 1)))) (sqrt.f64 (fma.f64 (+.f64 (exp.f64 a) (.f64 b (fma.f64 b 1/2 1))) (+.f64 (.f64 b (fma.f64 b 1/2 1)) (expm1.f64 a)) 1))) (hypot.f64 1 (pow.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))) 3/2)))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2))) (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (sqrt.f64 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2))) (/.f64 (sqrt.f64 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))))
(.f64 (/.f64 (sqrt.f64 (+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) 1)))) (sqrt.f64 (-.f64 1 (+.f64 (exp.f64 a) (.f64 b (fma.f64 b 1/2 1)))))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (.f64 b (fma.f64 b 1/2 1))) 2))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 2)) (cbrt.f64 (+.f64 1 (.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) (+.f64 (fma.f64 1/2 (.f64 b b) b) (expm1.f64 a))))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 2) (/.f64 (cbrt.f64 (+.f64 1 (.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) (+.f64 (fma.f64 1/2 (.f64 b b) b) (expm1.f64 a))))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 3)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) 1)))) 2) (cbrt.f64 (fma.f64 (+.f64 (exp.f64 a) (.f64 b (fma.f64 b 1/2 1))) (+.f64 (.f64 b (fma.f64 b 1/2 1)) (expm1.f64 a)) 1))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))) 3))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 2)) (cbrt.f64 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2))) (/.f64 (cbrt.f64 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) 1)))) 2) (cbrt.f64 (-.f64 1 (+.f64 (exp.f64 a) (.f64 b (fma.f64 b 1/2 1)))))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (.f64 b (fma.f64 b 1/2 1))) 2))))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2) (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2))) (/.f64 1 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 4)) (/.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2)) (/.f64 1 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (.f64 b (fma.f64 b 1/2 1))) 4)) (.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (.f64 b (fma.f64 b 1/2 1))) 2)) (-.f64 1 (+.f64 (exp.f64 a) (.f64 b (fma.f64 b 1/2 1))))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2) 3)) (/.f64 1 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (+.f64 1 (+.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2) (.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2) (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2) 3)) (/.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2) (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 4))) (/.f64 1 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (.f64 b (fma.f64 b 1/2 1))) 6)) (-.f64 1 (+.f64 (exp.f64 a) (.f64 b (fma.f64 b 1/2 1))))) (+.f64 1 (+.f64 (pow.f64 (+.f64 (exp.f64 a) (.f64 b (fma.f64 b 1/2 1))) 2) (pow.f64 (+.f64 (exp.f64 a) (.f64 b (fma.f64 b 1/2 1))) 4))))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3) (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3))) (/.f64 1 (+.f64 1 (.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) (+.f64 (fma.f64 1/2 (.f64 b b) b) (expm1.f64 a)))))) (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 6)) (/.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3)) (/.f64 1 (+.f64 1 (.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) (+.f64 (fma.f64 1/2 (*.f64 b b) b) (expm1.f64 a)))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (.f64 b (fma.f64 b 1/2 1))) 6)) (.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (.f64 b (fma.f64 b 1/2 1))) 3)) (fma.f64 (+.f64 (exp.f64 a) (.f64 b (fma.f64 b 1/2 1))) (+.f64 (*.f64 b (fma.f64 b 1/2 1)) (expm1.f64 a)) 1)))
(/.f64 (.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3) 3)) (/.f64 1 (+.f64 1 (.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) (+.f64 (fma.f64 1/2 (.f64 b b) b) (expm1.f64 a)))))) (+.f64 1 (-.f64 (.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3) (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3)) (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 3))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3) 3)) (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 6) (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3))) (/.f64 1 (+.f64 1 (.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) (+.f64 (fma.f64 1/2 (.f64 b b) b) (expm1.f64 a)))))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (.f64 b (fma.f64 b 1/2 1))) 3) 3)) (.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (.f64 b (fma.f64 b 1/2 1))) 6)) (pow.f64 (+.f64 (exp.f64 a) (.f64 b (fma.f64 b 1/2 1))) 3)) (fma.f64 (+.f64 (exp.f64 a) (.f64 b (fma.f64 b 1/2 1))) (+.f64 (.f64 b (fma.f64 b 1/2 1)) (expm1.f64 a)) 1)))
(pow.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 1)
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1)))
(pow.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 2)
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1)))
(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 3)
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1)))
(pow.f64 (pow.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 3) 1/3)
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1)))
(pow.f64 (E.f64) (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1)))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 2)) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1)))
(sqrt.f64 (pow.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 2))
(fabs.f64 (+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1))))
(log.f64 (exp.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1)))
(cbrt.f64 (pow.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 3))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1)))
(expm1.f64 (log.f64 (+.f64 2 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1)))
(exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1)))
(log1p.f64 (expm1.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1)))
(fma.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 1)
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1)))
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))) (sqrt.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))) 1)
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))) 1)
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1)))
(-.f64 (exp.f64 (log1p.f64 (.f64 b (.f64 b 1/2)))) 1)
(.f64 b (.f64 b 1/2))
(pow.f64 (.f64 b (.f64 b 1/2)) 1)
(.f64 b (.f64 b 1/2))
(pow.f64 (*.f64 b (sqrt.f64 1/2)) 2)
(pow.f64 (cbrt.f64 (.f64 b (.f64 b 1/2))) 3)
(.f64 b (.f64 b 1/2))
(pow.f64 (.f64 1/8 (pow.f64 (.f64 b b) 3)) 1/3)
(cbrt.f64 (.f64 1/8 (pow.f64 (.f64 b b) 3)))
(cbrt.f64 (*.f64 1/8 (pow.f64 b 6)))
(sqrt.f64 (*.f64 1/4 (pow.f64 b 4)))
(log.f64 (pow.f64 (exp.f64 1/2) (*.f64 b b)))
(.f64 b (.f64 b 1/2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 b (.f64 b 1/2)))))
(.f64 b (.f64 b 1/2))
(cbrt.f64 (.f64 1/8 (pow.f64 (.f64 b b) 3)))
(cbrt.f64 (*.f64 1/8 (pow.f64 b 6)))
(expm1.f64 (log1p.f64 (.f64 b (.f64 b 1/2))))
(.f64 b (.f64 b 1/2))
(exp.f64 (log.f64 (.f64 b (.f64 b 1/2))))
(.f64 b (.f64 b 1/2))
(exp.f64 (.f64 (log.f64 (.f64 b (*.f64 b 1/2))) 1))
(.f64 b (.f64 b 1/2))
(log1p.f64 (expm1.f64 (.f64 b (.f64 b 1/2))))
(.f64 b (.f64 b 1/2))

localize29.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(+.f64 (exp.f64 a) (exp.f64 b))
✓	100.0%	(log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
✓	99.9%	(expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
	94.3%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 34 to 8 computations (76.5% saved)

series58.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
17.0ms	b	@	inf	(log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
12.0ms	b	@	-inf	(log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
12.0ms	a	@	inf	(log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
12.0ms	a	@	-inf	(log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
2.0ms	b	@	0	(log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))

rewrite66.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1972×	`add-sqr-sqrt`
1956×	`*-un-lft-identity`
1816×	`add-cube-cbrt`
1794×	`add-cbrt-cube`
202×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	215	42
2	2456	42

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))

Outputs

((+.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1) -1) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (+.f64 0 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (-.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1) 1) (-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))) (-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1) (*.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (*.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (*.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (/.f64 (-.f64 (*.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1) (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)) 1) (+.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1) 1)) (/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1) 3) 1) (+.f64 (*.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1) (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)) (+.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1) 1)))) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1) (pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3) (pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3) (sqrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (log.f64 (+.f64 1 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)) (exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)) (log1p.f64 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)))

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

simplify111.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1076×	`associate-+r-`
996×	`associate-/r*`
864×	`*-commutative`
816×	`associate-+l+`
770×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	229	4037
1	662	3955
2	2774	3873
3	7399	3873

Stop Event

1×	node limit

Counts

89 → 104

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (exp.f64 b)))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (log.f64 (+.f64 1 (exp.f64 b))) (.f64 1/6 (.f64 (pow.f64 a 3) (-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 b))))) (/.f64 a (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (.f64 (+.f64 1 (exp.f64 b)) (+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))))) (+.f64 (/.f64 1 (.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (+.f64 (log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 b))))) (/.f64 a (.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 1 (exp.f64 b))))))
(+.f64 (.f64 1/6 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 1 (exp.f64 b)) (+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) (+.f64 1 (log.f64 (+.f64 1 (exp.f64 b))))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))) 3) (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (.f64 -3 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))) 2) (+.f64 1 (exp.f64 b)))))))) (.f64 3 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))))))) (pow.f64 a 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (.f64 (+.f64 1 (exp.f64 b)) (+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))))) (+.f64 (/.f64 1 (.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (+.f64 (log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 b))))) (/.f64 a (*.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 1 (exp.f64 b)))))))
(log.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))
(+.f64 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) (/.f64 b (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))))
(+.f64 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) (+.f64 (/.f64 b (.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) (.f64 1/2 (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) (/.f64 1 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2))))) (pow.f64 b 2)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 b 3) (-.f64 (+.f64 (.f64 -3 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2)))) (+.f64 (.f64 2 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 3)))) (+.f64 (.f64 2 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)))) (/.f64 1 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)))))) (.f64 3 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))))))) (+.f64 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) (+.f64 (/.f64 b (.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) (.f64 1/2 (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2))))) (pow.f64 b 2))))))
(log.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1) -1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 0 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(-.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(*.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (-.f64 (*.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1) (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)) 1) (+.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1) 3) 1) (+.f64 (.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1) (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)) (+.f64 1 (.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1) 1))))
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 1 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))
(exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(log1p.f64 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) 1)
(*.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(*.f64 1 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (sqrt.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(*.f64 (cbrt.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (pow.f64 (cbrt.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2) (cbrt.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(pow.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2))
(log.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(exp.f64 (log.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1))

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

eval444.0ms (2.5%)

Compiler: Compiled 21552 to 12808 computations (40.6% saved)

prune198.0ms (1.1%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	833	12	845
Fresh	2	1	3
Picked	1	0	1
Done	3	1	4
Total	839	14	853

Accurracy

98.7%

Counts

853 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.0%	(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)
	65.5%	(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3)))))
	52.0%	(/.f64 b (+.f64 1 (exp.f64 a)))
	49.8%	(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
	47.9%	(+.f64 (fma.f64 1/2 a (log.f64 2)) (.f64 (.f64 a a) 1/8))
▶	50.1%	(+.f64 (*.f64 1/2 b) (log.f64 2))
	48.3%	(+.f64 (*.f64 1/2 a) (log.f64 2))
▶	50.5%	(log1p.f64 (exp.f64 b))
✓	50.3%	(log1p.f64 (exp.f64 a))
	50.2%	(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
	49.8%	(log.f64 (+.f64 2 b))
▶	48.9%	(log.f64 2)
▶	96.2%	(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
▶	71.1%	(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))

Compiler

Compiled 349 to 254 computations (27.2% saved)

localize21.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
	100.0%	(log1p.f64 (exp.f64 a))
✓	100.0%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
✓	99.9%	(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))

Compiler

Compiled 53 to 25 computations (52.8% saved)

series36.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
17.0ms	a	@	inf	(log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
15.0ms	a	@	-inf	(log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
1.0ms	a	@	0	(log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
1.0ms	b	@	inf	(log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
0.0ms	b	@	-inf	(log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))

rewrite108.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1628×	`associate-*r/`
1126×	`*-commutative`
1054×	`associate-*l/`
950×	`associate-/r*`
680×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	97
1	268	97
2	3297	97

Stop Event

1×	node limit

Counts

3 → 193

Calls

Call 1

Inputs

(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))

(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))

(log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))

Outputs

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

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

simplify174.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1134×	`+-commutative`
892×	`associate-/l/`
860×	`associate-/r/`
562×	`associate-+r-`
512×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	425	18337
1	1200	17515
2	5082	17515

Stop Event

1×	node limit

Counts

265 → 232

Calls

Call 1

Inputs
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))
(+.f64 (.f64 a (-.f64 (.f64 1/2 (/.f64 1 (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))))) (.f64 1/4 (/.f64 b (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))))))) (log.f64 (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2)))))
(+.f64 (.f64 a (-.f64 (.f64 1/2 (/.f64 1 (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))))) (.f64 1/4 (/.f64 b (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 1/2 (.f64 1/4 b)) 2) (pow.f64 (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))) 2))) (.f64 2 (/.f64 (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))) (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2)))))))) (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) (+.f64 (.f64 2 (/.f64 (pow.f64 (-.f64 1/2 (.f64 1/4 b)) 3) (pow.f64 (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))) 3))) (+.f64 (.f64 -6 (/.f64 (+.f64 (.f64 -1/16 b) (+.f64 (.f64 1/24 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))) (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))))) (.f64 -6 (/.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (pow.f64 (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))) 2))))))) (+.f64 (.f64 a (-.f64 (.f64 1/2 (/.f64 1 (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))))) (.f64 1/4 (/.f64 b (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 1/2 (.f64 1/4 b)) 2) (pow.f64 (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))) 2))) (.f64 2 (/.f64 (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))) (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2)))))))) (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))))
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(/.f64 (-.f64 (*.f64 (+.f64 (log1p.f64 (exp.f64 a)) (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) (+.f64 (log1p.f64 (exp.f64 a)) (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))))) 1) (+.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2))
(/.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) 3) 1) (+.f64 (*.f64 (+.f64 (log1p.f64 (exp.f64 a)) (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) (+.f64 (log1p.f64 (exp.f64 a)) (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))))) (+.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))
(/.f64 (.f64 1 (-.f64 (.f64 (+.f64 (log1p.f64 (exp.f64 a)) (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) (+.f64 (log1p.f64 (exp.f64 a)) (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))))) 1)) (+.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2))
(/.f64 (.f64 1 (-.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) 3) 1)) (+.f64 (.f64 (+.f64 (log1p.f64 (exp.f64 a)) (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) (+.f64 (log1p.f64 (exp.f64 a)) (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))))) (+.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2)))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (.f64 1 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 (log1p.f64 (exp.f64 a)) (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) (+.f64 (log1p.f64 (exp.f64 a)) (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))))) 1) 1) (+.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) 3) 1) 1) (+.f64 (.f64 (+.f64 (log1p.f64 (exp.f64 a)) (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) (+.f64 (log1p.f64 (exp.f64 a)) (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))))) (+.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) 1) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) 1) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (/.f64 (+.f64 (exp.f64 a) 1) b))) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) 3) (pow.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) 3)) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (+.f64 (+.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (/.f64 (+.f64 (exp.f64 a) 1) b))) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) 3) (pow.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (-.f64 (+.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) 1) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 1)
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2))
(log.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(fma.f64 b (/.f64 1 (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) 1)
(*.f64 1 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(*.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (sqrt.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2) (cbrt.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(pow.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))

Outputs
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 b -1/4)) a (fma.f64 1/2 b (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(fma.f64 (+.f64 1/2 (.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 (.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2))))
(fma.f64 (+.f64 1/2 (.f64 b -1/4)) a (fma.f64 1/2 b (fma.f64 (.f64 a a) 1/8 (log.f64 2))))
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(fabs.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))))
(log.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3))
(log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))

localize3.0ms (0%)

Compiler: Compiled 5 to 5 computations (0% saved)

localize13.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 1/2 b) (log.f64 2))

Compiler

Compiled 16 to 13 computations (18.8% saved)

series3.0ms (0%)

Counts

1 → 3

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	b	@	0	(+.f64 (*.f64 1/2 b) (log.f64 2))
0.0ms	b	@	inf	(+.f64 (*.f64 1/2 b) (log.f64 2))
0.0ms	b	@	-inf	(+.f64 (*.f64 1/2 b) (log.f64 2))

rewrite59.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1848×	`add-sqr-sqrt`
1824×	`*-un-lft-identity`
1708×	`add-cube-cbrt`
1692×	`add-cbrt-cube`
182×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	188	13
2	2282	13

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(+.f64 (*.f64 1/2 b) (log.f64 2))

Outputs

((-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2)))) 1) (-.f64 (/.f64 (*.f64 1/4 (*.f64 b b)) (-.f64 (*.f64 1/2 b) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 b) (log.f64 2)))) (*.f64 (fma.f64 1/2 b (log.f64 2)) 1) (*.f64 1 (fma.f64 1/2 b (log.f64 2))) (*.f64 (sqrt.f64 (fma.f64 1/2 b (log.f64 2))) (sqrt.f64 (fma.f64 1/2 b (log.f64 2)))) (*.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2)) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 b (log.f64 2)))) (*.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 1/2 b) (log.f64 2)))) (*.f64 (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 b)))))) (/.f64 1 (/.f64 (-.f64 (*.f64 1/2 b) (log.f64 2)) (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2)))) (/.f64 1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 b)))) (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3)))) (/.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2))) (/.f64 (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 b))))) (/.f64 (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 1/2 (*.f64 b (log.f64 2)))))) (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 1/4 (*.f64 b b))) (-.f64 (log.f64 2) (*.f64 1/2 b))) (/.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 1/2 b) (log.f64 2)))) (/.f64 (neg.f64 (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 b)))))) (pow.f64 (fma.f64 1/2 b (log.f64 2)) 1) (pow.f64 (sqrt.f64 (fma.f64 1/2 b (log.f64 2))) 2) (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 3) (pow.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 3) 1/3) (sqrt.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) (log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) b))) (log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 b (log.f64 2))))) (cbrt.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 3)) (expm1.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2)))) (exp.f64 (log.f64 (fma.f64 1/2 b (log.f64 2)))) (exp.f64 (*.f64 (log.f64 (fma.f64 1/2 b (log.f64 2))) 1)) (log1p.f64 (expm1.f64 (fma.f64 1/2 b (log.f64 2)))) (fma.f64 1/2 b (log.f64 2)) (fma.f64 b 1/2 (log.f64 2)) (fma.f64 1 (*.f64 1/2 b) (log.f64 2)) (fma.f64 1 (log.f64 2) (*.f64 1/2 b)) (fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 b)) (fma.f64 (sqrt.f64 (*.f64 1/2 b)) (sqrt.f64 (*.f64 1/2 b)) (log.f64 2)) (fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 b)) (fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 b b))) (cbrt.f64 (*.f64 1/2 b)) (log.f64 2)))

simplify56.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1238×	`associate-r`
1134×	`associate-/r*`
1022×	`associate-l`
686×	`associate-+r+`
560×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	98	1074
1	237	1044
2	812	976
3	4402	976

Stop Event

1×	node limit

Counts

40 → 45

Calls

Call 1

Inputs
(log.f64 2)
(*.f64 1/2 b)
(*.f64 1/2 b)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2)))) 1)
(-.f64 (/.f64 (.f64 1/4 (.f64 b b)) (-.f64 (.f64 1/2 b) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (.f64 1/2 b) (log.f64 2))))
(*.f64 (fma.f64 1/2 b (log.f64 2)) 1)
(*.f64 1 (fma.f64 1/2 b (log.f64 2)))
(*.f64 (sqrt.f64 (fma.f64 1/2 b (log.f64 2))) (sqrt.f64 (fma.f64 1/2 b (log.f64 2))))
(*.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 b (log.f64 2))))
(.f64 (-.f64 (.f64 1/4 (.f64 b b)) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (.f64 1/2 b) (log.f64 2))))
(.f64 (+.f64 (.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (.f64 1/4 (.f64 b b)) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 1/2 b))))))
(/.f64 1 (/.f64 (-.f64 (.f64 1/2 b) (log.f64 2)) (-.f64 (.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2))))
(/.f64 1 (/.f64 (+.f64 (.f64 1/4 (.f64 b b)) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 1/2 b)))) (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3))))
(/.f64 (-.f64 (.f64 1/4 (.f64 b b)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (+.f64 (.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (.f64 1/4 (.f64 b b)) (.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 b)))))
(/.f64 (+.f64 (.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (.f64 1/4 (.f64 b b)) (.f64 1/2 (*.f64 b (log.f64 2))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (.f64 1/4 (.f64 b b))) (-.f64 (log.f64 2) (*.f64 1/2 b)))
(/.f64 (neg.f64 (-.f64 (.f64 1/4 (.f64 b b)) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 1/2 b) (log.f64 2))))
(/.f64 (neg.f64 (+.f64 (.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (.f64 1/4 (.f64 b b)) (.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 b))))))
(pow.f64 (fma.f64 1/2 b (log.f64 2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/2 b (log.f64 2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) b)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 b (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 1/2 b (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 b (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/2 b (log.f64 2))))
(fma.f64 1/2 b (log.f64 2))
(fma.f64 b 1/2 (log.f64 2))
(fma.f64 1 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/2 b))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 b))
(fma.f64 (sqrt.f64 (.f64 1/2 b)) (sqrt.f64 (.f64 1/2 b)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 b))
(fma.f64 (cbrt.f64 (.f64 1/4 (.f64 b b))) (cbrt.f64 (*.f64 1/2 b)) (log.f64 2))

Outputs
(log.f64 2)
(*.f64 1/2 b)
(*.f64 1/2 b)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2)))) 1)
(fma.f64 1/2 b (log.f64 2))
(-.f64 (/.f64 (.f64 1/4 (.f64 b b)) (-.f64 (.f64 1/2 b) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (.f64 1/2 b) (log.f64 2))))
(/.f64 (-.f64 (.f64 1/4 (.f64 b b)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (-.f64 (.f64 b (.f64 b 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 b b) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 b -1/2 (log.f64 2)))
(*.f64 (fma.f64 1/2 b (log.f64 2)) 1)
(fma.f64 1/2 b (log.f64 2))
(*.f64 1 (fma.f64 1/2 b (log.f64 2)))
(fma.f64 1/2 b (log.f64 2))
(*.f64 (sqrt.f64 (fma.f64 1/2 b (log.f64 2))) (sqrt.f64 (fma.f64 1/2 b (log.f64 2))))
(fma.f64 1/2 b (log.f64 2))
(*.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2))
(fma.f64 1/2 b (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 b (log.f64 2))))
(fma.f64 1/2 b (log.f64 2))
(.f64 (-.f64 (.f64 1/4 (.f64 b b)) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (.f64 1/2 b) (log.f64 2))))
(/.f64 (-.f64 (.f64 1/4 (.f64 b b)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (-.f64 (.f64 b (.f64 b 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 b b) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 b -1/2 (log.f64 2)))
(.f64 (+.f64 (.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (.f64 1/4 (.f64 b b)) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 1/2 b))))))
(/.f64 (.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) 1) (fma.f64 1/4 (.f64 b b) (.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 -1/2 b)))))
(/.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 b -1/2)) (.f64 b (*.f64 b 1/4))))
(/.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 b -1/2 (log.f64 2)) (.f64 b (.f64 b 1/4))))
(/.f64 1 (/.f64 (-.f64 (.f64 1/2 b) (log.f64 2)) (-.f64 (.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2))))
(/.f64 (-.f64 (.f64 1/4 (.f64 b b)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (-.f64 (.f64 b (.f64 b 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 b b) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 b -1/2 (log.f64 2)))
(/.f64 1 (/.f64 (+.f64 (.f64 1/4 (.f64 b b)) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 1/2 b)))) (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3))))
(/.f64 (.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) 1) (fma.f64 1/4 (.f64 b b) (.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 -1/2 b)))))
(/.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 b -1/2)) (.f64 b (*.f64 b 1/4))))
(/.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 b -1/2 (log.f64 2)) (.f64 b (.f64 b 1/4))))
(/.f64 (-.f64 (.f64 1/4 (.f64 b b)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (-.f64 (.f64 b (.f64 b 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 b b) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 b -1/2 (log.f64 2)))
(/.f64 (+.f64 (.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (.f64 1/4 (.f64 b b)) (.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 b)))))
(/.f64 (.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) 1) (fma.f64 1/4 (.f64 b b) (.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 -1/2 b)))))
(/.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 b -1/2)) (.f64 b (*.f64 b 1/4))))
(/.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 b -1/2 (log.f64 2)) (.f64 b (.f64 b 1/4))))
(/.f64 (+.f64 (.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (.f64 1/4 (.f64 b b)) (.f64 1/2 (*.f64 b (log.f64 2))))))
(/.f64 (.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) 1) (fma.f64 1/4 (.f64 b b) (.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 -1/2 b)))))
(/.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 b -1/2)) (.f64 b (*.f64 b 1/4))))
(/.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 b -1/2 (log.f64 2)) (.f64 b (.f64 b 1/4))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (.f64 1/4 (.f64 b b))) (-.f64 (log.f64 2) (*.f64 1/2 b)))
(/.f64 (-.f64 (.f64 1/4 (.f64 b b)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (-.f64 (.f64 b (.f64 b 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 b b) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 b -1/2 (log.f64 2)))
(/.f64 (neg.f64 (-.f64 (.f64 1/4 (.f64 b b)) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 1/2 b) (log.f64 2))))
(/.f64 (-.f64 (.f64 1/4 (.f64 b b)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (-.f64 (.f64 b (.f64 b 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 b b) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 b -1/2 (log.f64 2)))
(/.f64 (neg.f64 (+.f64 (.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (.f64 1/4 (.f64 b b)) (.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 b))))))
(/.f64 (.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) 1) (fma.f64 1/4 (.f64 b b) (.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 -1/2 b)))))
(/.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 b -1/2)) (.f64 b (*.f64 b 1/4))))
(/.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 b -1/2 (log.f64 2)) (.f64 b (.f64 b 1/4))))
(pow.f64 (fma.f64 1/2 b (log.f64 2)) 1)
(fma.f64 1/2 b (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 1/2 b (log.f64 2))) 2)
(fma.f64 1/2 b (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 3)
(fma.f64 1/2 b (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 3) 1/3)
(fma.f64 1/2 b (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2))
(fma.f64 1/2 b (log.f64 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) b)))
(fma.f64 1/2 b (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 b (log.f64 2)))))
(fma.f64 1/2 b (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 3))
(fma.f64 1/2 b (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2))))
(fma.f64 1/2 b (log.f64 2))
(exp.f64 (log.f64 (fma.f64 1/2 b (log.f64 2))))
(fma.f64 1/2 b (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 b (log.f64 2))) 1))
(fma.f64 1/2 b (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 1/2 b (log.f64 2))))
(fma.f64 1/2 b (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(fma.f64 b 1/2 (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(fma.f64 1 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/2 b))
(fma.f64 1/2 b (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 b))
(fma.f64 1/2 b (log.f64 2))
(fma.f64 (sqrt.f64 (.f64 1/2 b)) (sqrt.f64 (.f64 1/2 b)) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 b))
(fma.f64 1/2 b (log.f64 2))
(fma.f64 (cbrt.f64 (.f64 1/4 (.f64 b b))) (cbrt.f64 (*.f64 1/2 b)) (log.f64 2))
(fma.f64 (cbrt.f64 (.f64 b (.f64 b 1/4))) (cbrt.f64 (*.f64 1/2 b)) (log.f64 2))

localize5.0ms (0%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	98.5%	(log1p.f64 (exp.f64 b))

Compiler

Compiled 8 to 4 computations (50% saved)

series18.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
18.0ms	b	@	inf	(log1p.f64 (exp.f64 b))
0.0ms	b	@	0	(log1p.f64 (exp.f64 b))
0.0ms	b	@	-inf	(log1p.f64 (exp.f64 b))

rewrite45.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1072×	`associate-r`
840×	`add-sqr-sqrt`
830×	`*-un-lft-identity`
784×	`pow1`
766×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	95	9
2	1063	9

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(log1p.f64 (exp.f64 b))

Outputs

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

simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1254×	`associate-r`
1122×	`associate-l`
822×	`associate-+l+`
800×	`associate-+r+`
796×	`log-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	536
1	176	532
2	593	532
3	3646	502
4	6980	502

Stop Event

1×	node limit

Counts

36 → 43

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)
(*.f64 (log1p.f64 (exp.f64 b)) 1)
(*.f64 1 (log1p.f64 (exp.f64 b)))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (cbrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(pow.f64 (log1p.f64 (exp.f64 b)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(log.f64 (+.f64 (exp.f64 b) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))

Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (log.f64 2)))
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (log.f64 2)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))
(fma.f64 1/2 b (+.f64 (fma.f64 1/8 (.f64 b b) (log.f64 2)) (.f64 -1/192 (pow.f64 b 4))))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))))
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)
(log1p.f64 (exp.f64 b))
(*.f64 (log1p.f64 (exp.f64 b)) 1)
(log1p.f64 (exp.f64 b))
(*.f64 1 (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))
(log1p.f64 (exp.f64 b))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))
(log1p.f64 (exp.f64 b))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (cbrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 5/2) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(log1p.f64 (exp.f64 b))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))
(log1p.f64 (exp.f64 b))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))
(log1p.f64 (exp.f64 b))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(log1p.f64 (exp.f64 b))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(log1p.f64 (exp.f64 b))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))))
(.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) 4))
(pow.f64 (log1p.f64 (exp.f64 b)) 1)
(log1p.f64 (exp.f64 b))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)
(log1p.f64 (exp.f64 b))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)
(log1p.f64 (exp.f64 b))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)
(log1p.f64 (exp.f64 b))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 (exp.f64 b) 1))
(log1p.f64 (exp.f64 b))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
(log1p.f64 (exp.f64 b))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))

localize20.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(log1p.f64 (exp.f64 a))
	100.0%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
✓	100.0%	(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
✓	97.8%	(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))

Compiler

Compiled 53 to 25 computations (52.8% saved)

series122.0ms (0.7%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
102.0ms	a	@	-inf	(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
17.0ms	a	@	inf	(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
1.0ms	a	@	0	(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
1.0ms	b	@	0	(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
0.0ms	b	@	inf	(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))

rewrite86.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1568×	`associate-*r/`
1120×	`*-commutative`
1006×	`associate-*l/`
948×	`associate-/r*`
686×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	66
1	257	66
2	3255	66

Stop Event

1×	node limit

Counts

2 → 111

Calls

Call 1

Inputs
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))

Outputs

((+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (+.f64 0 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 b (+.f64 (exp.f64 a) 1)))) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 b (+.f64 (exp.f64 a) 1)))) (+.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 0) (log1p.f64 (exp.f64 a))) (+.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)))) (+.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)))) (-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (-.f64 (log.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 a)))) (/.f64 b (+.f64 (exp.f64 a) 1)))) (-.f64 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(log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) (/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 1) (pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3) (pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3) 1/3) (pow.f64 (E.f64) (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2)) (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2)) (log.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3)) (expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (fma.f64 b (/.f64 1 (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) (fma.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1))) (fma.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a))) (fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1))) (fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a))))

((+.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 0) (+.f64 0 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (+.f64 (log.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2))) (+.f64 (log.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (log.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)) (log.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (log.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2))) (log.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (-.f64 (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (log.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) 1) (-.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))) (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))) (log.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))) 1) (*.f64 1 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (*.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1) (*.f64 (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (*.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2) (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1) (pow.f64 (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 3) (pow.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3) 1/3) (sqrt.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)) (cbrt.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)) (expm1.f64 (log1p.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (exp.f64 (log.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (log1p.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (log1p.f64 (exp.f64 a)) 1))))

simplify160.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1280×	`associate-+r+`
1000×	`associate-/l/`
908×	`associate-/r/`
904×	`+-commutative`
366×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	419	10391
1	1164	9847
2	4737	9847

Stop Event

1×	node limit

Counts

159 → 234

Calls

Call 1

Inputs
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (.f64 a (-.f64 (.f64 1/2 (/.f64 1 (+.f64 (.f64 1/2 b) (log.f64 2)))) (.f64 1/4 (/.f64 b (+.f64 (.f64 1/2 b) (log.f64 2)))))) (log.f64 (+.f64 (.f64 1/2 b) (log.f64 2))))
(+.f64 (.f64 a (-.f64 (.f64 1/2 (/.f64 1 (+.f64 (.f64 1/2 b) (log.f64 2)))) (.f64 1/4 (/.f64 b (+.f64 (.f64 1/2 b) (log.f64 2)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 1/2 (.f64 1/4 b)) 2) (pow.f64 (+.f64 (.f64 1/2 b) (log.f64 2)) 2))) (.f64 2 (/.f64 (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))) (+.f64 (.f64 1/2 b) (log.f64 2))))))) (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))))
(+.f64 (.f64 a (-.f64 (.f64 1/2 (/.f64 1 (+.f64 (.f64 1/2 b) (log.f64 2)))) (.f64 1/4 (/.f64 b (+.f64 (.f64 1/2 b) (log.f64 2)))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) (+.f64 (.f64 -6 (/.f64 (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))) (+.f64 (.f64 1/2 b) (log.f64 2)))) (+.f64 (.f64 2 (/.f64 (pow.f64 (-.f64 1/2 (.f64 1/4 b)) 3) (pow.f64 (+.f64 (.f64 1/2 b) (log.f64 2)) 3))) (.f64 -6 (/.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (pow.f64 (+.f64 (.f64 1/2 b) (log.f64 2)) 2))))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 1/2 (.f64 1/4 b)) 2) (pow.f64 (+.f64 (.f64 1/2 b) (log.f64 2)) 2))) (.f64 2 (/.f64 (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))) (+.f64 (.f64 1/2 b) (log.f64 2))))))) (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (*.f64 (+.f64 1 (exp.f64 a)) (log.f64 (+.f64 1 (exp.f64 a))))) (log.f64 (log.f64 (+.f64 1 (exp.f64 a)))))
(+.f64 (/.f64 b (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (exp.f64 a)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)))) (log.f64 (log.f64 (+.f64 1 (exp.f64 a))))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 3)))) (+.f64 (/.f64 b (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (exp.f64 a)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)))) (log.f64 (log.f64 (+.f64 1 (exp.f64 a)))))))
(+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 -1 (log.f64 (/.f64 1 b))))
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(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 1)
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3) 1/3)
(pow.f64 (E.f64) (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2)) (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2))
(log.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(fma.f64 b (/.f64 1 (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 0)
(+.f64 0 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (log.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)) (log.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (log.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2))) (log.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (log.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) 1)
(-.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))) (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))) (log.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))) 1)
(*.f64 1 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(*.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)
(*.f64 (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2) (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(exp.f64 (log.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (log1p.f64 (exp.f64 a)) 1)))

Outputs
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 b -1/4)) a (fma.f64 1/2 b (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(fma.f64 (+.f64 1/2 (.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 (.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2))))
(fma.f64 (+.f64 1/2 (.f64 b -1/4)) a (fma.f64 1/2 b (fma.f64 (.f64 a a) 1/8 (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 -1 (.f64 (pow.f64 a 3) (fma.f64 1/24 b (fma.f64 -1/16 b (.f64 (.f64 b 0) -1/2)))) (fma.f64 (.f64 a a) (-.f64 1/8 (.f64 b 0)) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (.f64 b -1/4)) a (fma.f64 1/2 b (-.f64 (fma.f64 (.f64 a a) 1/8 (log.f64 2)) (.f64 (pow.f64 a 3) (+.f64 0 (.f64 b -1/48))))))
(-.f64 (fma.f64 (+.f64 1/2 (.f64 b -1/4)) a (fma.f64 1/2 b (fma.f64 (.f64 a a) 1/8 (log.f64 2)))) (.f64 (pow.f64 a 3) (+.f64 0 (.f64 b -1/48))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))
(log.f64 (fma.f64 1/2 b (log.f64 2)))
(+.f64 (.f64 a (-.f64 (.f64 1/2 (/.f64 1 (+.f64 (.f64 1/2 b) (log.f64 2)))) (.f64 1/4 (/.f64 b (+.f64 (.f64 1/2 b) (log.f64 2)))))) (log.f64 (+.f64 (.f64 1/2 b) (log.f64 2))))
(fma.f64 a (-.f64 (/.f64 1/2 (fma.f64 1/2 b (log.f64 2))) (/.f64 (*.f64 b 1/4) (fma.f64 1/2 b (log.f64 2)))) (log.f64 (fma.f64 1/2 b (log.f64 2))))
(fma.f64 a (+.f64 (/.f64 1/2 (fma.f64 1/2 b (log.f64 2))) (*.f64 (/.f64 b (fma.f64 1/2 b (log.f64 2))) -1/4)) (log.f64 (fma.f64 1/2 b (log.f64 2))))
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(-.f64 (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3))) (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3))) (log.f64 (fma.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))) (log.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))) (log.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))) 1)
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 1 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2) (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2)
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 3)
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(pow.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3) 1/3)
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) 2))
(fabs.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(exp.f64 (log.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (log1p.f64 (exp.f64 a)) 1)))
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) -1)))
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 -1 (log1p.f64 (exp.f64 a)))))
(log1p.f64 (+.f64 -1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))

eval275.0ms (1.5%)

Compiler: Compiled 17881 to 10803 computations (39.6% saved)

prune100.0ms (0.6%)

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	630	11	641
Fresh	3	5	8
Picked	1	0	1
Done	1	4	5
Total	635	20	655

Accurracy

98.7%

Counts

655 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.0%	(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2)) (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
	48.5%	(pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 3)
	52.0%	(/.f64 b (+.f64 1 (exp.f64 a)))
	49.8%	(-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)
	47.9%	(+.f64 (fma.f64 1/2 a (log.f64 2)) (.f64 (.f64 a a) 1/8))
✓	50.1%	(+.f64 (*.f64 1/2 b) (log.f64 2))
	48.3%	(+.f64 (*.f64 1/2 a) (log.f64 2))
▶	12.1%	(*.f64 1/2 b)
✓	50.5%	(log1p.f64 (exp.f64 b))
✓	50.3%	(log1p.f64 (exp.f64 a))
▶	50.2%	(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
	49.8%	(log.f64 (+.f64 2 b))
✓	48.9%	(log.f64 2)
	0.6%	(expm1.f64 (+.f64 (log.f64 b) (-.f64 (/.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))))
▶	49.2%	(expm1.f64 (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
▶	71.1%	(expm1.f64 (exp.f64 (log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))
	70.1%	(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 3))
▶	22.9%	(exp.f64 (+.f64 (log.f64 b) (-.f64 (*.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) (log1p.f64 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
	49.9%	(exp.f64 (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))
	0.8%	(exp.f64 (exp.f64 (log.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))

Compiler

Compiled 450 to 341 computations (24.2% saved)

localize32.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
✓	99.9%	(expm1.f64 (exp.f64 (log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))
✓	99.3%	(log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
✓	97.9%	(exp.f64 (log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))

Compiler

Compiled 80 to 40 computations (50% saved)

series43.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
19.0ms	a	@	-inf	(log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
15.0ms	a	@	inf	(log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
3.0ms	b	@	-inf	(log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
2.0ms	a	@	0	(log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
2.0ms	b	@	inf	(log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))

rewrite97.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1814×	`associate-*r/`
1314×	`associate-*l/`
956×	`associate-/r*`
274×	`add-sqr-sqrt`
270×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	105
1	298	105
2	3489	105

Stop Event

1×	node limit

Counts

3 → 135

Calls

Call 1

Inputs

(exp.f64 (log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))

(log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))

(expm1.f64 (exp.f64 (log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))

Outputs

((-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) 1) (*.f64 1 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (*.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1) (*.f64 (sqrt.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (sqrt.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (*.f64 (cbrt.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2)) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2) (cbrt.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (pow.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1) (pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 3) (pow.f64 (pow.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3) 1/3) (pow.f64 (E.f64) (log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))) (sqrt.f64 (log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) 2)) (cbrt.f64 (log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))) (sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)) (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (log1p.f64 (exp.f64 a)) 1))) (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)) (expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))

((+.f64 (log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 0) (+.f64 0 (log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (+.f64 (log.f64 (cbrt.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (log.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2))) (+.f64 (log.f64 (sqrt.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (log.f64 (sqrt.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2)) (log.f64 (cbrt.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))) (+.f64 (+.f64 0 (log.f64 (sqrt.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))) (log.f64 (sqrt.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))) (+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2))) (log.f64 (cbrt.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))) (-.f64 (exp.f64 (log1p.f64 (log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))) 1) (-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) 1) (*.f64 1 (log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (*.f64 (log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 1) (*.f64 (sqrt.f64 (log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (sqrt.f64 (log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))) (*.f64 (cbrt.f64 (log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) 2)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) 2) (cbrt.f64 (log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))) (pow.f64 (log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 1) (pow.f64 (sqrt.f64 (log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) 2) (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) 3) (pow.f64 (pow.f64 (log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 3) 1/3) (sqrt.f64 (pow.f64 (log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2)) (cbrt.f64 (pow.f64 (log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 3)) (expm1.f64 (log1p.f64 (log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))) (exp.f64 (log.f64 (log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))) (exp.f64 (*.f64 (log.f64 (log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) 1)) (log1p.f64 (-.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)))

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

simplify122.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

712×	`associate-r`
666×	`fma-def`
618×	`+-commutative`
616×	`associate-/l*`
574×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	604	17231
1	1764	16255

Stop Event

1×	node limit

Counts

207 → 302

Calls

Call 1

Inputs
(log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))
(+.f64 (.f64 a (-.f64 (.f64 1/2 (/.f64 1 (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))))) (.f64 1/4 (/.f64 b (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))))))) (log.f64 (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2)))))
(+.f64 (.f64 a (-.f64 (.f64 1/2 (/.f64 1 (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))))) (.f64 1/4 (/.f64 b (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 1/2 (.f64 1/4 b)) 2) (pow.f64 (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))) 2))) (.f64 2 (/.f64 (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))) (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2)))))))) (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) (+.f64 (.f64 2 (/.f64 (pow.f64 (-.f64 1/2 (.f64 1/4 b)) 3) (pow.f64 (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))) 3))) (+.f64 (.f64 -6 (/.f64 (+.f64 (.f64 -1/16 b) (+.f64 (.f64 1/24 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))) (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))))) (.f64 -6 (/.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (pow.f64 (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))) 2))))))) (+.f64 (.f64 a (-.f64 (.f64 1/2 (/.f64 1 (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))))) (.f64 1/4 (/.f64 b (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 1/2 (.f64 1/4 b)) 2) (pow.f64 (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))) 2))) (.f64 2 (/.f64 (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))) (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2)))))))) (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))
(+.f64 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) (/.f64 b (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))))
(+.f64 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) (+.f64 (/.f64 b (.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) (.f64 -1/2 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2))))))
(+.f64 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) (+.f64 (/.f64 b (.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 3)))) (.f64 -1/2 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2)))))))
(+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 -1 (log.f64 (/.f64 1 b))))
(+.f64 (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) b) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 -1 (log.f64 (/.f64 1 b)))))
(+.f64 (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) b) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2)) (pow.f64 b 2))) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 -1 (log.f64 (/.f64 1 b))))))
(+.f64 (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) b) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2)) (pow.f64 b 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 3)) (pow.f64 b 3))) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 -1 (log.f64 (/.f64 1 b)))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))
(+.f64 (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) b) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))))))
(+.f64 (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) b) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2)) (pow.f64 b 2))) (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))))
(+.f64 (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) b) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2)) (pow.f64 b 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 3)) (pow.f64 b 3))) (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))))))))
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(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (log1p.f64 (exp.f64 a)) 1)) (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (log1p.f64 (exp.f64 a)) 1))) 1) 1) (+.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (log1p.f64 (exp.f64 a)) 1)) 3) 1) 1) (+.f64 (.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (log1p.f64 (exp.f64 a)) 1)) (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (log1p.f64 (exp.f64 a)) 1))) (+.f64 1 (*.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (log1p.f64 (exp.f64 a)) 1)) 1))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) 1) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) 1) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (/.f64 (+.f64 (exp.f64 a) 1) b))) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) 3) (pow.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) 3)) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (+.f64 (+.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (/.f64 (+.f64 (exp.f64 a) 1) b))) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) 3) (pow.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (-.f64 (+.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) 1) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 1)
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2))
(log.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3))
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(fma.f64 b (/.f64 1 (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))

Outputs
(log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))
(log.f64 (fma.f64 1/2 b (+.f64 1 (log.f64 2))))
(log.f64 (+.f64 1 (fma.f64 1/2 b (log.f64 2))))
(+.f64 (.f64 a (-.f64 (.f64 1/2 (/.f64 1 (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))))) (.f64 1/4 (/.f64 b (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))))))) (log.f64 (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2)))))
(fma.f64 a (-.f64 (/.f64 1/2 (fma.f64 1/2 b (+.f64 1 (log.f64 2)))) (/.f64 (*.f64 b 1/4) (fma.f64 1/2 b (+.f64 1 (log.f64 2))))) (log.f64 (fma.f64 1/2 b (+.f64 1 (log.f64 2)))))
(fma.f64 a (+.f64 (/.f64 1/2 (+.f64 1 (fma.f64 1/2 b (log.f64 2)))) (/.f64 (*.f64 b -1/4) (+.f64 1 (fma.f64 1/2 b (log.f64 2))))) (log.f64 (+.f64 1 (fma.f64 1/2 b (log.f64 2)))))
(+.f64 (.f64 a (-.f64 (.f64 1/2 (/.f64 1 (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))))) (.f64 1/4 (/.f64 b (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 1/2 (.f64 1/4 b)) 2) (pow.f64 (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))) 2))) (.f64 2 (/.f64 (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))) (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2)))))))) (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))))
(fma.f64 a (-.f64 (/.f64 1/2 (fma.f64 1/2 b (+.f64 1 (log.f64 2)))) (/.f64 (.f64 b 1/4) (fma.f64 1/2 b (+.f64 1 (log.f64 2))))) (fma.f64 1/2 (.f64 (.f64 a a) (fma.f64 -1 (/.f64 (pow.f64 (-.f64 1/2 (.f64 b 1/4)) 2) (pow.f64 (fma.f64 1/2 b (+.f64 1 (log.f64 2))) 2)) (.f64 2 (/.f64 (-.f64 1/8 (.f64 b 0)) (fma.f64 1/2 b (+.f64 1 (log.f64 2))))))) (log.f64 (fma.f64 1/2 b (+.f64 1 (log.f64 2))))))
(fma.f64 a (+.f64 (/.f64 1/2 (+.f64 1 (fma.f64 1/2 b (log.f64 2)))) (/.f64 (.f64 b -1/4) (+.f64 1 (fma.f64 1/2 b (log.f64 2))))) (fma.f64 1/2 (.f64 a (.f64 a (-.f64 (/.f64 1/4 (+.f64 1 (fma.f64 1/2 b (log.f64 2)))) (/.f64 (pow.f64 (+.f64 1/2 (.f64 b -1/4)) 2) (pow.f64 (+.f64 1 (fma.f64 1/2 b (log.f64 2))) 2))))) (log.f64 (+.f64 1 (fma.f64 1/2 b (log.f64 2))))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) (+.f64 (.f64 2 (/.f64 (pow.f64 (-.f64 1/2 (.f64 1/4 b)) 3) (pow.f64 (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))) 3))) (+.f64 (.f64 -6 (/.f64 (+.f64 (.f64 -1/16 b) (+.f64 (.f64 1/24 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))) (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))))) (.f64 -6 (/.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (pow.f64 (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))) 2))))))) (+.f64 (.f64 a (-.f64 (.f64 1/2 (/.f64 1 (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))))) (.f64 1/4 (/.f64 b (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 1/2 (.f64 1/4 b)) 2) (pow.f64 (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))) 2))) (.f64 2 (/.f64 (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))) (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2)))))))) (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))))
(fma.f64 1/6 (.f64 (pow.f64 a 3) (fma.f64 2 (/.f64 (pow.f64 (-.f64 1/2 (.f64 b 1/4)) 3) (pow.f64 (fma.f64 1/2 b (+.f64 1 (log.f64 2))) 3)) (.f64 -6 (+.f64 (/.f64 (fma.f64 -1/16 b (fma.f64 1/24 b (.f64 (.f64 b 0) -1/2))) (fma.f64 1/2 b (+.f64 1 (log.f64 2)))) (/.f64 (.f64 (-.f64 1/2 (.f64 b 1/4)) (-.f64 1/8 (.f64 b 0))) (pow.f64 (fma.f64 1/2 b (+.f64 1 (log.f64 2))) 2)))))) (fma.f64 a (-.f64 (/.f64 1/2 (fma.f64 1/2 b (+.f64 1 (log.f64 2)))) (/.f64 (.f64 b 1/4) (fma.f64 1/2 b (+.f64 1 (log.f64 2))))) (fma.f64 1/2 (.f64 (.f64 a a) (fma.f64 -1 (/.f64 (pow.f64 (-.f64 1/2 (.f64 b 1/4)) 2) (pow.f64 (fma.f64 1/2 b (+.f64 1 (log.f64 2))) 2)) (.f64 2 (/.f64 (-.f64 1/8 (.f64 b 0)) (fma.f64 1/2 b (+.f64 1 (log.f64 2))))))) (log.f64 (fma.f64 1/2 b (+.f64 1 (log.f64 2)))))))
(fma.f64 1/6 (.f64 (pow.f64 a 3) (fma.f64 2 (/.f64 (pow.f64 (+.f64 1/2 (.f64 b -1/4)) 3) (pow.f64 (+.f64 1 (fma.f64 1/2 b (log.f64 2))) 3)) (fma.f64 -6 (/.f64 (+.f64 0 (.f64 b -1/48)) (+.f64 1 (fma.f64 1/2 b (log.f64 2)))) (/.f64 (.f64 -3/4 (+.f64 1/2 (.f64 b -1/4))) (pow.f64 (+.f64 1 (fma.f64 1/2 b (log.f64 2))) 2))))) (fma.f64 a (+.f64 (/.f64 1/2 (+.f64 1 (fma.f64 1/2 b (log.f64 2)))) (/.f64 (.f64 b -1/4) (+.f64 1 (fma.f64 1/2 b (log.f64 2))))) (fma.f64 1/2 (.f64 a (.f64 a (-.f64 (/.f64 1/4 (+.f64 1 (fma.f64 1/2 b (log.f64 2)))) (/.f64 (pow.f64 (+.f64 1/2 (*.f64 b -1/4)) 2) (pow.f64 (+.f64 1 (fma.f64 1/2 b (log.f64 2))) 2))))) (log.f64 (+.f64 1 (fma.f64 1/2 b (log.f64 2)))))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
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(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(/.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3)) (fma.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3)) (fma.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3)) (fma.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 1)
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3) 1/3)
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2))
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) 2))
(fabs.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 b (/.f64 1 (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))

localize3.0ms (0%)

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

localize19.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(.f64 1/2 (.f64 b b))
✓	100.0%	(+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b)))
✓	100.0%	(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))

Compiler

Compiled 35 to 20 computations (42.9% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	b	@	inf	(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
0.0ms	b	@	-inf	(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
0.0ms	b	@	0	(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
0.0ms	b	@	inf	(+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b)))
0.0ms	b	@	-inf	(+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b)))

rewrite79.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1074×	`*-commutative`
874×	`associate-*r/`
850×	`distribute-lft-in`
830×	`distribute-rgt-in`
786×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	54
1	239	46
2	3166	46

Stop Event

1×	node limit

Counts

2 → 125

Calls

Call 1

Inputs
(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
(+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b)))

Outputs

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

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(+.f64 2 b) (*.f64 b (*.f64 b 1/2))))))) (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)) 1) (pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 2) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 3) (pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)) 3) 1/3) (pow.f64 (exp.f64 1) (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))) (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))) (sqrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))) (sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)) 2)) (log.f64 (exp.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) (log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))) (cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)) 3)) (expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) (exp.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) (log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)) (fma.f64 (*.f64 b b) 1/2 (+.f64 2 b)) (fma.f64 1 (+.f64 2 b) (*.f64 b (*.f64 b 1/2))) (fma.f64 1 (*.f64 b (*.f64 b 1/2)) (+.f64 2 b)) (fma.f64 (*.f64 b (sqrt.f64 1/2)) (*.f64 b (sqrt.f64 1/2)) (+.f64 2 b)) (fma.f64 (sqrt.f64 (+.f64 2 b)) (sqrt.f64 (+.f64 2 b)) (*.f64 b (*.f64 b 1/2))) (fma.f64 (cbrt.f64 (*.f64 (pow.f64 b 4) 1/4)) (cbrt.f64 (*.f64 b (*.f64 b 1/2))) (+.f64 2 b)) (fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2) (cbrt.f64 (+.f64 2 b)) (*.f64 b (*.f64 b 1/2))) (fma.f64 (*.f64 b 1/2) b (+.f64 2 b)))

simplify114.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1630×	`associate-*r/`
1280×	`associate-*l/`
878×	`associate-+l+`
852×	`+-commutative`
768×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	376	8991
1	1077	7803
2	4564	7803

Stop Event

1×	node limit

Counts

149 → 239

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/12 (pow.f64 b 3)))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (log.f64 1/2))
(+.f64 (log.f64 1/2) (+.f64 (.f64 -2 (log.f64 (/.f64 1 b))) (.f64 2 (/.f64 1 b))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 1 b))))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 1 b)))))) (.f64 16/3 (/.f64 1 (pow.f64 b 3))))
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))
(+.f64 (log.f64 1/2) (+.f64 (.f64 2 (/.f64 1 b)) (.f64 -2 (log.f64 (/.f64 -1 b)))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 -1 b)))))) (.f64 16/3 (/.f64 1 (pow.f64 b 3))))
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 0)
(+.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))) (log.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) 2)))
(+.f64 0 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))) (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) 2)) (log.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))))) (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) 2))) (log.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))))) (.f64 1 (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))))))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) 2))) (.f64 1 (log.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))) 1) (.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))) 1))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) 2)) 1) (.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))) 1))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3))) (log.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4))) (log.f64 (+.f64 2 (-.f64 b (.f64 b (*.f64 b 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))) 1)
(-.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)))) (log.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))))))
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)))) (log.f64 (+.f64 2 (-.f64 b (.f64 b (*.f64 b 1/2))))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))) 1)
(.f64 2 (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))))
(.f64 (log.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) 1)
(.f64 1 (log.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))))
(.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))) (sqrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))
(.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) 2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))) 2) (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))
(pow.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 1)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))
(log1p.f64 (+.f64 (+.f64 b (.f64 b (.f64 b 1/2))) 1))
(-.f64 (exp.f64 (log.f64 (+.f64 3 b))) (-.f64 1 (.f64 b (.f64 b 1/2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) 1)
(-.f64 (exp.f64 (log1p.f64 b)) (-.f64 1 (+.f64 2 (.f64 b (.f64 b 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 b (.f64 b 1/2)))) (-.f64 1 (+.f64 2 b)))
(-.f64 (/.f64 (pow.f64 (+.f64 2 b) 2) (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2))))) (/.f64 (pow.f64 b 4) (/.f64 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2)))) 1/4)))
(-.f64 (/.f64 4 (-.f64 2 b)) (-.f64 (/.f64 (.f64 b b) (-.f64 2 b)) (.f64 b (*.f64 b 1/2))))
(-.f64 (+.f64 (+.f64 2 b) (exp.f64 (log1p.f64 (.f64 b (.f64 b 1/2))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 b 1/2)) (exp.f64 (log.f64 (+.f64 3 b)))) 1)
(-.f64 (+.f64 (.f64 b (.f64 b 1/2)) (/.f64 4 (-.f64 2 b))) (/.f64 (*.f64 b b) (-.f64 2 b)))
(-.f64 (+.f64 (+.f64 2 (.f64 b (.f64 b 1/2))) (exp.f64 (log1p.f64 b))) 1)
(.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)) 1)
(.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))
(.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) 2) (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)) (/.f64 1 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2))))))
(.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (*.f64 b 1/2)))))))
(.f64 (/.f64 1 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2))))) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))))) (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (*.f64 b 1/2)) 3)))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4))) (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)) (-.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3))) (+.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (.f64 b (.f64 b 1/2)) (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))))
(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)) (-.f64 (.f64 (pow.f64 (+.f64 2 b) 2) (pow.f64 (+.f64 2 b) 2)) (.f64 (-.f64 (.f64 (pow.f64 b 4) 1/4) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))) (-.f64 (.f64 (pow.f64 b 4) 1/4) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2))))))) (+.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)) (.f64 (+.f64 2 b) (.f64 b (*.f64 b 1/2)))))
(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 2 b) 2) 3) (pow.f64 (-.f64 (.f64 (pow.f64 b 4) 1/4) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))) 3))) (+.f64 (.f64 (pow.f64 (+.f64 2 b) 2) (pow.f64 (+.f64 2 b) 2)) (-.f64 (.f64 (-.f64 (.f64 (pow.f64 b 4) 1/4) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))) (-.f64 (.f64 (pow.f64 b 4) 1/4) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2))))) (.f64 (pow.f64 (+.f64 2 b) 2) (-.f64 (.f64 (pow.f64 b 4) 1/4) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2))))))))
(/.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)) (/.f64 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2)))) (+.f64 2 (-.f64 b (.f64 b (*.f64 b 1/2))))))
(/.f64 1 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(/.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)) (+.f64 2 (-.f64 b (.f64 b (*.f64 b 1/2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)) (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2))))))
(/.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2))))) (/.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2))))) (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3))) (/.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4))) (/.f64 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)))) (/.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (*.f64 b 1/2)) 3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)))) (/.f64 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2)))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (+.f64 2 b) 3)) (.f64 (pow.f64 (.f64 b (.f64 b 1/2)) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3))) (.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2))))) (-.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (*.f64 b 1/2)) 3))))
(/.f64 (-.f64 4 (.f64 (+.f64 b (.f64 b (.f64 b 1/2))) (+.f64 b (.f64 b (.f64 b 1/2))))) (-.f64 (-.f64 2 b) (.f64 b (*.f64 b 1/2))))
(/.f64 (-.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 2 b) 2)) (-.f64 (.f64 b (*.f64 b 1/2)) (+.f64 2 b)))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 2 b) 2) (pow.f64 (+.f64 2 b) 2)) (.f64 (.f64 (pow.f64 b 4) 1/4) (.f64 (pow.f64 b 4) 1/4))) (.f64 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2)))) (+.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 2 b) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 2 b) 3) 3) (pow.f64 (pow.f64 (.f64 b (.f64 b 1/2)) 3) 3)) (.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2))))) (+.f64 (.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (+.f64 2 b) 3)) (-.f64 (.f64 (pow.f64 (.f64 b (.f64 b 1/2)) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)) (.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3))))))
(/.f64 (+.f64 8 (pow.f64 (+.f64 b (.f64 b (.f64 b 1/2))) 3)) (+.f64 4 (-.f64 (.f64 (+.f64 b (.f64 b (.f64 b 1/2))) (+.f64 b (.f64 b (.f64 b 1/2)))) (.f64 2 (+.f64 b (.f64 b (.f64 b 1/2)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 2 b) 2) 3) (pow.f64 (.f64 (pow.f64 b 4) 1/4) 3)) (.f64 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2)))) (+.f64 (+.f64 (.f64 (pow.f64 (+.f64 2 b) 2) (pow.f64 (+.f64 2 b) 2)) (.f64 (.f64 (pow.f64 b 4) 1/4) (.f64 (pow.f64 b 4) 1/4))) (.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 2 b) 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4))) (neg.f64 (+.f64 2 (-.f64 b (.f64 b (*.f64 b 1/2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))))))
(/.f64 (.f64 1 (-.f64 4 (.f64 (+.f64 b (.f64 b (.f64 b 1/2))) (+.f64 b (.f64 b (.f64 b 1/2)))))) (-.f64 (-.f64 2 b) (.f64 b (.f64 b 1/2))))
(/.f64 (.f64 1 (-.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 2 b) 2))) (-.f64 (.f64 b (.f64 b 1/2)) (+.f64 2 b)))
(/.f64 (.f64 1 (+.f64 8 (pow.f64 (+.f64 b (.f64 b (.f64 b 1/2))) 3))) (+.f64 4 (-.f64 (.f64 (+.f64 b (.f64 b (.f64 b 1/2))) (+.f64 b (.f64 b (.f64 b 1/2)))) (.f64 2 (+.f64 b (.f64 b (*.f64 b 1/2)))))))
(/.f64 (.f64 1 (neg.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)))) (neg.f64 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2))))))
(/.f64 (.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)))) (neg.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (*.f64 b 1/2)))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)))) (sqrt.f64 (+.f64 2 (-.f64 b (.f64 b (*.f64 b 1/2))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)))) (cbrt.f64 (+.f64 2 (-.f64 b (.f64 b (*.f64 b 1/2))))))
(/.f64 (.f64 (-.f64 4 (.f64 (+.f64 b (.f64 b (.f64 b 1/2))) (+.f64 b (.f64 b (.f64 b 1/2))))) 1) (-.f64 (-.f64 2 b) (.f64 b (.f64 b 1/2))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 2 b) 2)) 1) (-.f64 (.f64 b (.f64 b 1/2)) (+.f64 2 b)))
(/.f64 (.f64 (+.f64 8 (pow.f64 (+.f64 b (.f64 b (.f64 b 1/2))) 3)) 1) (+.f64 4 (-.f64 (.f64 (+.f64 b (.f64 b (.f64 b 1/2))) (+.f64 b (.f64 b (.f64 b 1/2)))) (.f64 2 (+.f64 b (.f64 b (*.f64 b 1/2)))))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4))) 1) (neg.f64 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2))))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3))) 1) (neg.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (*.f64 b 1/2)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3))) (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4))) (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))) (sqrt.f64 (+.f64 2 (-.f64 b (.f64 b (*.f64 b 1/2))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) 2)) (cbrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) 2)) (cbrt.f64 (+.f64 2 (-.f64 b (.f64 b (*.f64 b 1/2))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 2 b) 2) (pow.f64 (+.f64 2 b) 2)) (.f64 (.f64 (pow.f64 b 4) 1/4) (.f64 (pow.f64 b 4) 1/4))) (/.f64 1 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2)))))) (+.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 2 b) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 2 b) 2) 3) (pow.f64 (.f64 (pow.f64 b 4) 1/4) 3)) (/.f64 1 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2)))))) (+.f64 (+.f64 (.f64 (pow.f64 (+.f64 2 b) 2) (pow.f64 (+.f64 2 b) 2)) (.f64 (.f64 (pow.f64 b 4) 1/4) (.f64 (pow.f64 b 4) 1/4))) (.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 2 b) 2))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (+.f64 2 b) 3)) (.f64 (pow.f64 (.f64 b (.f64 b 1/2)) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3))) (/.f64 1 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2))))))) (-.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (*.f64 b 1/2)) 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 2 b) 3) 3) (pow.f64 (pow.f64 (.f64 b (.f64 b 1/2)) 3) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2))))))) (+.f64 (.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (+.f64 2 b) 3)) (-.f64 (.f64 (pow.f64 (.f64 b (.f64 b 1/2)) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)) (.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)) 1) (+.f64 2 (-.f64 b (.f64 b (*.f64 b 1/2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)) (sqrt.f64 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2)))))) (sqrt.f64 (+.f64 2 (-.f64 b (.f64 b (*.f64 b 1/2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)) (.f64 (cbrt.f64 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2))))) (cbrt.f64 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2))))))) (cbrt.f64 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)) (+.f64 (.f64 b (sqrt.f64 1/2)) (sqrt.f64 (+.f64 2 b)))) (-.f64 (sqrt.f64 (+.f64 2 b)) (*.f64 b (sqrt.f64 1/2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)) 1) (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)) (sqrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2))))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (*.f64 b 1/2)))))))
(pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)) 3) 1/3)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))))) (sqrt.f64 (log.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))))
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(exp.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(fma.f64 1/2 (*.f64 b b) (+.f64 2 b))
(fma.f64 (*.f64 b b) 1/2 (+.f64 2 b))
(fma.f64 1 (+.f64 2 b) (.f64 b (.f64 b 1/2)))
(fma.f64 1 (.f64 b (.f64 b 1/2)) (+.f64 2 b))
(fma.f64 (.f64 b (sqrt.f64 1/2)) (.f64 b (sqrt.f64 1/2)) (+.f64 2 b))
(fma.f64 (sqrt.f64 (+.f64 2 b)) (sqrt.f64 (+.f64 2 b)) (.f64 b (.f64 b 1/2)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 b 4) 1/4)) (cbrt.f64 (.f64 b (*.f64 b 1/2))) (+.f64 2 b))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2) (cbrt.f64 (+.f64 2 b)) (.f64 b (.f64 b 1/2)))
(fma.f64 (*.f64 b 1/2) b (+.f64 2 b))

Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (log.f64 2)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/12 (pow.f64 b 3)))))
(fma.f64 1/2 b (+.f64 (fma.f64 1/8 (.f64 b b) (log.f64 2)) (.f64 -1/12 (pow.f64 b 3))))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (fma.f64 -1/12 (pow.f64 b 3) (log.f64 2))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (log.f64 1/2))
(fma.f64 -2 (neg.f64 (log.f64 b)) (log.f64 1/2))
(+.f64 (log.f64 1/2) (+.f64 (.f64 -2 (log.f64 (/.f64 1 b))) (.f64 2 (/.f64 1 b))))
(+.f64 (log.f64 1/2) (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 1 b))))))
(+.f64 (/.f64 2 (*.f64 b b)) (+.f64 (log.f64 1/2) (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b))))
(+.f64 (log.f64 1/2) (+.f64 (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b)) (/.f64 2 (*.f64 b b))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 1 b)))))) (.f64 16/3 (/.f64 1 (pow.f64 b 3))))
(+.f64 (/.f64 2 (*.f64 b b)) (-.f64 (+.f64 (log.f64 1/2) (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b))) (/.f64 16/3 (pow.f64 b 3))))
(+.f64 (/.f64 2 (*.f64 b b)) (+.f64 (log.f64 1/2) (-.f64 (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b)) (/.f64 16/3 (pow.f64 b 3)))))
(+.f64 (log.f64 1/2) (+.f64 (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b)) (-.f64 (/.f64 2 (*.f64 b b)) (/.f64 16/3 (pow.f64 b 3)))))
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))
(fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2))
(+.f64 (log.f64 1/2) (+.f64 (.f64 2 (/.f64 1 b)) (.f64 -2 (log.f64 (/.f64 -1 b)))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 2 b) (*.f64 -2 (log.f64 (/.f64 -1 b)))))
(+.f64 (log.f64 1/2) (fma.f64 -2 (log.f64 (/.f64 -1 b)) (/.f64 2 b)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))))
(+.f64 (/.f64 2 (.f64 b b)) (+.f64 (+.f64 (/.f64 2 b) (log.f64 1/2)) (.f64 -2 (log.f64 (/.f64 -1 b)))))
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2)) (+.f64 (/.f64 2 b) (/.f64 2 (*.f64 b b))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 2 (*.f64 b b)) (fma.f64 -2 (log.f64 (/.f64 -1 b)) (/.f64 2 b))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 -1 b)))))) (.f64 16/3 (/.f64 1 (pow.f64 b 3))))
(+.f64 (/.f64 2 (.f64 b b)) (-.f64 (+.f64 (+.f64 (/.f64 2 b) (log.f64 1/2)) (.f64 -2 (log.f64 (/.f64 -1 b)))) (/.f64 16/3 (pow.f64 b 3))))
(+.f64 (/.f64 2 (*.f64 b b)) (+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2)) (-.f64 (/.f64 2 b) (/.f64 16/3 (pow.f64 b 3)))))
(+.f64 (log.f64 1/2) (+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (/.f64 2 b)) (-.f64 (/.f64 2 (*.f64 b b)) (/.f64 16/3 (pow.f64 b 3)))))
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (.f64 1/2 (.f64 b b)))
(fma.f64 1/2 (*.f64 b b) b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
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(fma.f64 (*.f64 b 1/2) b (+.f64 2 b))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))

localize23.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))
✓	99.9%	(expm1.f64 (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
✓	98.6%	(log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))

Compiler

Compiled 42 to 37 computations (11.9% saved)

series11.0ms (0.1%)

Counts

3 → 27

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	b	@	0	(expm1.f64 (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
1.0ms	b	@	inf	(expm1.f64 (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
1.0ms	b	@	-inf	(expm1.f64 (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
0.0ms	b	@	0	(log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))
0.0ms	b	@	inf	(log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))

rewrite88.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1068×	`*-commutative`
1018×	`associate-*r/`
852×	`distribute-lft-in`
812×	`distribute-rgt-in`
690×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	67
1	265	57
2	3279	57

Stop Event

1×	node limit

Counts

3 → 179

Calls

Call 1

Inputs
(log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))
(expm1.f64 (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
(+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))

Outputs

((+.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))) 0) (+.f64 0 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))) (+.f64 (log.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) 2))) (+.f64 (log.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))) (log.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))))) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) 2)) (log.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))))) (+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))))) (log.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))))) (+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) 2))) (log.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))))) (+.f64 (*.f64 1 (log.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))))) (*.f64 1 (log.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))))) (+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))))) (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))) 1) (*.f64 (log.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))) 1)) (+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))) 1)) (-.f64 (log.f64 (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3))) (log.f64 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b))))))) (-.f64 (log.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (log.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))) (-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))) 1) (-.f64 (+.f64 0 (log.f64 (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3)))) (log.f64 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b))))))) (-.f64 (+.f64 0 (log.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)))) (log.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))) (-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))))) 1) (*.f64 1 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))))) (*.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1) (*.f64 (sqrt.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))) (sqrt.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))) (*.f64 (cbrt.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))) 2)) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))) 2) (cbrt.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))) (pow.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1) (pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))) 2) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))) 3) (pow.f64 (pow.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))) 3) 1/3) (sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))) 2)) (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))) 3)) (expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))) (exp.f64 (log.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))) (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))

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

((-.f64 (+.f64 1 (log.f64 2)) (-.f64 1 (fma.f64 1/2 b 1))) (-.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 0) (-.f64 (fma.f64 1/2 b 1) (-.f64 1 (+.f64 1 (log.f64 2)))) (-.f64 (exp.f64 (log.f64 (+.f64 2 (log.f64 2)))) (-.f64 1 (*.f64 1/2 b))) (-.f64 (exp.f64 (log1p.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))) 1) (-.f64 (/.f64 1 (-.f64 1 (log.f64 2))) (-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 1 (log.f64 2))) (*.f64 1/2 b))) (-.f64 (+.f64 (*.f64 1/2 b) (+.f64 2 (log.f64 2))) 1) (-.f64 (/.f64 (*.f64 b b) (/.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))) 1/4)) (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))) (-.f64 (+.f64 (*.f64 1/2 b) (exp.f64 (log.f64 (+.f64 2 (log.f64 2))))) 1) (-.f64 (+.f64 (*.f64 1/2 b) (/.f64 1 (-.f64 1 (log.f64 2)))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 1 (log.f64 2)))) (*.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) (*.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 1) (*.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))) (*.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) 2)) (*.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) 2) (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))) (*.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (/.f64 1 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))) (*.f64 (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b))))))) (*.f64 (/.f64 1 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))) (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (*.f64 (/.f64 1 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b)))))) (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (-.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3))) (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (fma.f64 1/2 b 1))))) (*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (-.f64 (*.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (*.f64 b b) 1/4)) (*.f64 (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b)))) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b))))))) (-.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b)))))) (*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (+.f64 (pow.f64 (*.f64 (*.f64 b b) 1/4) 3) (pow.f64 (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b)))) 3))) (-.f64 (+.f64 (*.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (*.f64 b b) 1/4)) (*.f64 (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b)))) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b)))))) (*.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b))))))) (/.f64 1 (/.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))) (/.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) (/.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))) (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))) (/.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))) (/.f64 (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b)))))) (/.f64 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b))))) (/.f64 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b))))) (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))) (/.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3))) (/.f64 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3))))) (/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (/.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))) (sqrt.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2))))) (/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3)))) (/.f64 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3))))) (/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (cbrt.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)))) (/.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))) (cbrt.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2))))) (/.f64 (-.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (*.f64 (*.f64 b b) 1/4)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b)))) (/.f64 (-.f64 (*.f64 (fma.f64 1/2 b 1) (fma.f64 1/2 b 1)) (pow.f64 (log.f64 2) 2)) (-.f64 (fma.f64 1/2 b 1) (log.f64 2))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 b 3) 1/8) (*.f64 (pow.f64 b 3) 1/8)) (*.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (pow.f64 (+.f64 1 (log.f64 2)) 3))) (*.f64 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b))))) (-.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3)))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (*.f64 b b) 1/4)) (*.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (*.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))) (+.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)))) (/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (fma.f64 1/2 b 1) 3)) (+.f64 (*.f64 (fma.f64 1/2 b 1) (fma.f64 1/2 b 1)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (fma.f64 1/2 b 1))))) (/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 b 3) 1/8) 3) (pow.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) 3)) (*.f64 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b))))) (+.f64 (*.f64 (*.f64 (pow.f64 b 3) 1/8) (*.f64 (pow.f64 b 3) 1/8)) (-.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (*.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3)))))) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 b b) 1/4) 3) (pow.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) 3)) (*.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))) (+.f64 (*.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (*.f64 b b) 1/4)) (+.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (*.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)))))) (/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (neg.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))) (/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3))) (neg.f64 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b))))))) (/.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (*.f64 (*.f64 b b) 1/4))) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b)))) (/.f64 (*.f64 1 (-.f64 (*.f64 (fma.f64 1/2 b 1) (fma.f64 1/2 b 1)) (pow.f64 (log.f64 2) 2))) (-.f64 (fma.f64 1/2 b 1) (log.f64 2))) (/.f64 (*.f64 1 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (fma.f64 1/2 b 1) 3))) (+.f64 (*.f64 (fma.f64 1/2 b 1) (fma.f64 1/2 b 1)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (fma.f64 1/2 b 1))))) (/.f64 (*.f64 1 (neg.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)))) (neg.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))) (/.f64 (*.f64 1 (neg.f64 (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3)))) (neg.f64 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b))))))) (/.f64 (*.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3)))) (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b))))))) (/.f64 (*.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) (sqrt.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)))) (sqrt.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))) (/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) 2) (cbrt.f64 (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3)))) (cbrt.f64 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b))))))) (/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) 2) (cbrt.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)))) (cbrt.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))) (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (*.f64 (*.f64 b b) 1/4)) 1) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b)))) (/.f64 (*.f64 (-.f64 (*.f64 (fma.f64 1/2 b 1) (fma.f64 1/2 b 1)) (pow.f64 (log.f64 2) 2)) 1) (-.f64 (fma.f64 1/2 b 1) (log.f64 2))) (/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (fma.f64 1/2 b 1) 3)) 1) (+.f64 (*.f64 (fma.f64 1/2 b 1) (fma.f64 1/2 b 1)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (fma.f64 1/2 b 1))))) (/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2))) 1) (neg.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))) (/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3))) 1) (neg.f64 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b))))))) (/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3))) (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))) (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b))))))) (/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))) (sqrt.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))) (/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) 2)) (cbrt.f64 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b))))))) (/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) 2)) (cbrt.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (*.f64 b b) 1/4)) (*.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (/.f64 1 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))) (+.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 b b) 1/4) 3) (pow.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) 3)) (/.f64 1 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))) (+.f64 (*.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (*.f64 b b) 1/4)) (+.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (*.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2))))) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 b 3) 1/8) (*.f64 (pow.f64 b 3) 1/8)) (*.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (pow.f64 (+.f64 1 (log.f64 2)) 3))) (/.f64 1 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b))))))) (-.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3))) (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 b 3) 1/8) 3) (pow.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b))))))) (+.f64 (*.f64 (*.f64 (pow.f64 b 3) 1/8) (*.f64 (pow.f64 b 3) 1/8)) (-.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (*.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3))))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)) 1) (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (sqrt.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))) (sqrt.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))) (cbrt.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))) (cbrt.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (+.f64 (sqrt.f64 (*.f64 1/2 b)) (sqrt.f64 (+.f64 1 (log.f64 2))))) (-.f64 (sqrt.f64 (*.f64 1/2 b)) (sqrt.f64 (+.f64 1 (log.f64 2))))) (/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3)) 1) (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b)))))) (/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b))))))) (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b))))))) (/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b)))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b)))))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b))))))) (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 1) (pow.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) 2) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) 3) (pow.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 3) 1/3) (pow.f64 (E.f64) (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))) 2)) (cbrt.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))) (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))) (sqrt.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))) (sqrt.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 2)) (log.f64 (*.f64 2 (exp.f64 (fma.f64 1/2 b 1)))) (log.f64 (+.f64 1 (expm1.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))))) (cbrt.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 3)) (expm1.f64 (log1p.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))) (exp.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))) (log1p.f64 (expm1.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))) (fma.f64 1/2 b (+.f64 1 (log.f64 2))) (fma.f64 b 1/2 (+.f64 1 (log.f64 2))) (fma.f64 1 (*.f64 1/2 b) (+.f64 1 (log.f64 2))) (fma.f64 1 (+.f64 1 (log.f64 2)) (*.f64 1/2 b)) (fma.f64 (sqrt.f64 (*.f64 1/2 b)) (sqrt.f64 (*.f64 1/2 b)) (+.f64 1 (log.f64 2))) (fma.f64 (sqrt.f64 (+.f64 1 (log.f64 2))) (sqrt.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 b)) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 b)) 2) (cbrt.f64 (*.f64 1/2 b)) (+.f64 1 (log.f64 2))) (fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 2))) 2) (cbrt.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 b)))

simplify136.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1814×	`associate-*r/`
586×	`fma-def`
552×	`associate-r`
552×	`associate-+l-`
534×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	512	11384
1	1464	9720
2	6288	9608

Stop Event

1×	node limit

Counts

206 → 317

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (log.f64 2)))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 (/.f64 b (+.f64 1 (log.f64 2)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (+.f64 (log.f64 (+.f64 1 (log.f64 2))) (.f64 1/2 (/.f64 b (+.f64 1 (log.f64 2))))))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (log.f64 2)) 3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (+.f64 (log.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 (/.f64 b (+.f64 1 (log.f64 2)))))))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 b))))
(+.f64 (.f64 2 (/.f64 (+.f64 1 (log.f64 2)) b)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 1/2)))
(+.f64 (.f64 2 (/.f64 (+.f64 1 (log.f64 2)) b)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (log.f64 1/2) (*.f64 -2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 b 2))))))
(+.f64 (.f64 2 (/.f64 (+.f64 1 (log.f64 2)) b)) (+.f64 (.f64 8/3 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (pow.f64 b 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (log.f64 1/2) (.f64 -2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 b 2)))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1/2))
(+.f64 (.f64 2 (/.f64 (+.f64 1 (log.f64 2)) b)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1/2)))
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(/.f64 1 (/.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))))
(/.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) (/.f64 (-.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))) (-.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2)))))
(/.f64 (-.f64 (.f64 (.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))
(/.f64 (+.f64 (.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b))))))
(/.f64 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (.f64 1/2 b))))) (/.f64 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (.f64 1/2 b))))) (+.f64 (log.f64 2) (fma.f64 1/2 b 1))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3))) (/.f64 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (.f64 1/2 b))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (/.f64 (-.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))) (sqrt.f64 (-.f64 (.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3))) (cbrt.f64 (+.f64 (.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3)))) (/.f64 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (.f64 1/2 b))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (cbrt.f64 (-.f64 (.f64 (.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)))) (/.f64 (-.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))) (cbrt.f64 (-.f64 (.f64 (.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (.f64 (.f64 b b) 1/4)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b))))
(/.f64 (-.f64 (*.f64 (fma.f64 1/2 b 1) (fma.f64 1/2 b 1)) (pow.f64 (log.f64 2) 2)) (-.f64 (fma.f64 1/2 b 1) (log.f64 2)))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 b 3) 1/8) (.f64 (pow.f64 b 3) 1/8)) (.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (pow.f64 (+.f64 1 (log.f64 2)) 3))) (.f64 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (.f64 1/2 b))))) (-.f64 (.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 b b) 1/4) (.f64 (.f64 b b) 1/4)) (.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (.f64 (-.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))) (+.f64 (.f64 (.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2))))
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(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 b 3) 1/8) 3) (pow.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) 3)) (.f64 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (.f64 1/2 b))))) (+.f64 (.f64 (.f64 (pow.f64 b 3) 1/8) (.f64 (pow.f64 b 3) 1/8)) (-.f64 (.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (.f64 (.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3))))))
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(/.f64 (neg.f64 (-.f64 (.f64 (.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (neg.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3))) (neg.f64 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b)))))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (.f64 (.f64 b b) 1/4))) (+.f64 (log.f64 2) (-.f64 1 (.f64 1/2 b))))
(/.f64 (.f64 1 (-.f64 (.f64 (fma.f64 1/2 b 1) (fma.f64 1/2 b 1)) (pow.f64 (log.f64 2) 2))) (-.f64 (fma.f64 1/2 b 1) (log.f64 2)))
(/.f64 (.f64 1 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (fma.f64 1/2 b 1) 3))) (+.f64 (.f64 (fma.f64 1/2 b 1) (fma.f64 1/2 b 1)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (fma.f64 1/2 b 1)))))
(/.f64 (.f64 1 (neg.f64 (-.f64 (.f64 (.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)))) (neg.f64 (-.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2)))))
(/.f64 (.f64 1 (neg.f64 (+.f64 (.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3)))) (neg.f64 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (.f64 1/2 b)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) (sqrt.f64 (+.f64 (.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3)))) (sqrt.f64 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (.f64 1/2 b)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) (sqrt.f64 (-.f64 (.f64 (.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)))) (sqrt.f64 (-.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) 2) (cbrt.f64 (+.f64 (.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3)))) (cbrt.f64 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (.f64 1/2 b)))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) 2) (cbrt.f64 (-.f64 (.f64 (.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)))) (cbrt.f64 (-.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2)))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (.f64 (.f64 b b) 1/4)) 1) (+.f64 (log.f64 2) (-.f64 1 (.f64 1/2 b))))
(/.f64 (.f64 (-.f64 (.f64 (fma.f64 1/2 b 1) (fma.f64 1/2 b 1)) (pow.f64 (log.f64 2) 2)) 1) (-.f64 (fma.f64 1/2 b 1) (log.f64 2)))
(/.f64 (.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (fma.f64 1/2 b 1) 3)) 1) (+.f64 (.f64 (fma.f64 1/2 b 1) (fma.f64 1/2 b 1)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (fma.f64 1/2 b 1)))))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 (.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2))) 1) (neg.f64 (-.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2)))))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3))) 1) (neg.f64 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (.f64 1/2 b)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3))) (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))) (sqrt.f64 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (.f64 1/2 b)))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 (.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))) (sqrt.f64 (-.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) 2)) (cbrt.f64 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (.f64 1/2 b)))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) 2)) (cbrt.f64 (-.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 b b) 1/4) (.f64 (.f64 b b) 1/4)) (.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (/.f64 1 (-.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))))) (+.f64 (.f64 (.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 b b) 1/4) 3) (pow.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) 3)) (/.f64 1 (-.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))))) (+.f64 (.f64 (.f64 (.f64 b b) 1/4) (.f64 (.f64 b b) 1/4)) (+.f64 (.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (.f64 (.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 b 3) 1/8) (.f64 (pow.f64 b 3) 1/8)) (.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (pow.f64 (+.f64 1 (log.f64 2)) 3))) (/.f64 1 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (.f64 1/2 b))))))) (-.f64 (.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 b 3) 1/8) 3) (pow.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) 3)) (/.f64 1 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (.f64 1/2 b))))))) (+.f64 (.f64 (.f64 (pow.f64 b 3) 1/8) (.f64 (pow.f64 b 3) 1/8)) (-.f64 (.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (.f64 (.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3)))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)) 1) (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (sqrt.f64 (-.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))))) (sqrt.f64 (-.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2)))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (.f64 (cbrt.f64 (-.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2)))) (cbrt.f64 (-.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2)))))) (cbrt.f64 (-.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2)))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (+.f64 (sqrt.f64 (.f64 1/2 b)) (sqrt.f64 (+.f64 1 (log.f64 2))))) (-.f64 (sqrt.f64 (.f64 1/2 b)) (sqrt.f64 (+.f64 1 (log.f64 2)))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3)) 1) (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b))))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (sqrt.f64 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (.f64 1/2 b))))))) (sqrt.f64 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b)))))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (.f64 1/2 b)))))) (cbrt.f64 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (.f64 1/2 b)))))))) (cbrt.f64 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (.f64 1/2 b)))))))
(pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 1)
(pow.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) 2)
(pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) 3)
(pow.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 3) 1/3)
(pow.f64 (E.f64) (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (.f64 1/2 b) (log.f64 2)))) 2)) (cbrt.f64 (log1p.f64 (+.f64 (.f64 1/2 b) (log.f64 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 (.f64 1/2 b) (log.f64 2))))) (sqrt.f64 (log1p.f64 (+.f64 (.f64 1/2 b) (log.f64 2)))))
(sqrt.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 2))
(log.f64 (*.f64 2 (exp.f64 (fma.f64 1/2 b 1))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 3))
(expm1.f64 (log1p.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))))
(exp.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))
(log1p.f64 (expm1.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))))
(fma.f64 1/2 b (+.f64 1 (log.f64 2)))
(fma.f64 b 1/2 (+.f64 1 (log.f64 2)))
(fma.f64 1 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))
(fma.f64 1 (+.f64 1 (log.f64 2)) (*.f64 1/2 b))
(fma.f64 (sqrt.f64 (.f64 1/2 b)) (sqrt.f64 (.f64 1/2 b)) (+.f64 1 (log.f64 2)))
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 2))) (sqrt.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 b))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/2 b)) 2) (cbrt.f64 (.f64 1/2 b)) (+.f64 1 (log.f64 2)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 2))) 2) (cbrt.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 b))

Outputs
(log.f64 (+.f64 1 (log.f64 2)))
(log1p.f64 (log.f64 2))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 (/.f64 b (+.f64 1 (log.f64 2)))))
(+.f64 (log1p.f64 (log.f64 2)) (/.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))
(fma.f64 1/2 (/.f64 b (+.f64 1 (log.f64 2))) (log1p.f64 (log.f64 2)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (+.f64 (log.f64 (+.f64 1 (log.f64 2))) (.f64 1/2 (/.f64 b (+.f64 1 (log.f64 2))))))
(fma.f64 -1/8 (/.f64 (.f64 b b) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (+.f64 (log1p.f64 (log.f64 2)) (/.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2)))))
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(pow.f64 (E.f64) (log1p.f64 (fma.f64 1/2 b (log.f64 2))))
(exp.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 (.f64 1/2 b) (log.f64 2))))) (sqrt.f64 (log1p.f64 (+.f64 (.f64 1/2 b) (log.f64 2)))))
(pow.f64 (E.f64) (log1p.f64 (fma.f64 1/2 b (log.f64 2))))
(exp.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2))))
(sqrt.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 2))
(fabs.f64 (+.f64 1 (fma.f64 1/2 b (log.f64 2))))
(log.f64 (*.f64 2 (exp.f64 (fma.f64 1/2 b 1))))
(+.f64 1 (+.f64 (log.f64 2) (+.f64 -1 (fma.f64 1/2 b 1))))
(+.f64 1 (fma.f64 1/2 b (log.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))))
(+.f64 1 (+.f64 (log.f64 2) (+.f64 -1 (fma.f64 1/2 b 1))))
(+.f64 1 (fma.f64 1/2 b (log.f64 2)))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 3))
(+.f64 1 (+.f64 (log.f64 2) (+.f64 -1 (fma.f64 1/2 b 1))))
(+.f64 1 (fma.f64 1/2 b (log.f64 2)))
(expm1.f64 (log1p.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))))
(+.f64 1 (+.f64 (log.f64 2) (+.f64 -1 (fma.f64 1/2 b 1))))
(+.f64 1 (fma.f64 1/2 b (log.f64 2)))
(exp.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))
(pow.f64 (E.f64) (log1p.f64 (fma.f64 1/2 b (log.f64 2))))
(exp.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2))))
(log1p.f64 (expm1.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))))
(+.f64 1 (+.f64 (log.f64 2) (+.f64 -1 (fma.f64 1/2 b 1))))
(+.f64 1 (fma.f64 1/2 b (log.f64 2)))
(fma.f64 1/2 b (+.f64 1 (log.f64 2)))
(+.f64 1 (+.f64 (log.f64 2) (+.f64 -1 (fma.f64 1/2 b 1))))
(+.f64 1 (fma.f64 1/2 b (log.f64 2)))
(fma.f64 b 1/2 (+.f64 1 (log.f64 2)))
(+.f64 1 (+.f64 (log.f64 2) (+.f64 -1 (fma.f64 1/2 b 1))))
(+.f64 1 (fma.f64 1/2 b (log.f64 2)))
(fma.f64 1 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))
(+.f64 1 (+.f64 (log.f64 2) (+.f64 -1 (fma.f64 1/2 b 1))))
(+.f64 1 (fma.f64 1/2 b (log.f64 2)))
(fma.f64 1 (+.f64 1 (log.f64 2)) (*.f64 1/2 b))
(+.f64 1 (+.f64 (log.f64 2) (+.f64 -1 (fma.f64 1/2 b 1))))
(+.f64 1 (fma.f64 1/2 b (log.f64 2)))
(fma.f64 (sqrt.f64 (.f64 1/2 b)) (sqrt.f64 (.f64 1/2 b)) (+.f64 1 (log.f64 2)))
(+.f64 1 (+.f64 (log.f64 2) (+.f64 -1 (fma.f64 1/2 b 1))))
(+.f64 1 (fma.f64 1/2 b (log.f64 2)))
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 2))) (sqrt.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 b))
(+.f64 1 (+.f64 (log.f64 2) (+.f64 -1 (fma.f64 1/2 b 1))))
(+.f64 1 (fma.f64 1/2 b (log.f64 2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/2 b)) 2) (cbrt.f64 (.f64 1/2 b)) (+.f64 1 (log.f64 2)))
(+.f64 1 (+.f64 (log.f64 2) (+.f64 -1 (fma.f64 1/2 b 1))))
(+.f64 1 (fma.f64 1/2 b (log.f64 2)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 2))) 2) (cbrt.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 b))
(+.f64 1 (+.f64 (log.f64 2) (+.f64 -1 (fma.f64 1/2 b 1))))
(+.f64 1 (fma.f64 1/2 b (log.f64 2)))

localize29.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (log.f64 b) (-.f64 (*.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) (log1p.f64 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
✓	100.0%	(-.f64 (*.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) (log1p.f64 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
✓	99.7%	(*.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) (log1p.f64 (exp.f64 a)))
✓	97.8%	(exp.f64 (+.f64 (log.f64 b) (-.f64 (*.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) (log1p.f64 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))

Compiler

Compiled 81 to 33 computations (59.3% saved)

series38.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
10.0ms	a	@	inf	(exp.f64 (+.f64 (log.f64 b) (-.f64 (*.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) (log1p.f64 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
9.0ms	b	@	0	(*.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) (log1p.f64 (exp.f64 a)))
6.0ms	b	@	inf	(*.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) (log1p.f64 (exp.f64 a)))
2.0ms	b	@	-inf	(+.f64 (log.f64 b) (-.f64 (*.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) (log1p.f64 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
2.0ms	b	@	0	(+.f64 (log.f64 b) (-.f64 (*.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) (log1p.f64 (exp.f64 a))) (log1p.f64 (exp.f64 a))))

rewrite148.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1452×	`associate-/r*`
1044×	`associate-/l*`
498×	`associate-/r/`
374×	`associate-+l+`
330×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	186
1	320	162
2	4433	162

Stop Event

1×	node limit

Counts

4 → 288

Calls

Call 1

Inputs
(exp.f64 (+.f64 (log.f64 b) (-.f64 (*.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) (log1p.f64 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(*.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) (log1p.f64 (exp.f64 a)))
(-.f64 (*.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) (log1p.f64 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 b) (-.f64 (*.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) (log1p.f64 (exp.f64 a))) (log1p.f64 (exp.f64 a))))

Outputs
((-.f64 (exp.f64 (log1p.f64 (.f64 b (exp.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)))))) 1) (.f64 b (exp.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)))) (.f64 1 (.f64 b (exp.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))))) (.f64 (.f64 b (exp.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)))) 1) (.f64 (sqrt.f64 (.f64 b (exp.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))))) (sqrt.f64 (.f64 b (exp.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)))))) (.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) (exp.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))))) (.f64 (cbrt.f64 (.f64 b (exp.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))))) (pow.f64 (cbrt.f64 (.f64 b (exp.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))))) 2)) (.f64 (pow.f64 (cbrt.f64 (.f64 b (exp.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))))) 2) (cbrt.f64 (.f64 b (exp.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)))))) (.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) (exp.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))))) (.f64 (exp.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))) b) (.f64 (/.f64 (exp.f64 (+.f64 (log.f64 b) (.f64 (+.f64 1 (exp.f64 a)) (/.f64 (log1p.f64 (exp.f64 a)) b)))) 1) (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 (/.f64 (exp.f64 (+.f64 (log.f64 b) (.f64 (+.f64 1 (exp.f64 a)) (/.f64 (log1p.f64 (exp.f64 a)) b)))) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a))) (.f64 (/.f64 (exp.f64 (+.f64 (log.f64 b) (.f64 (+.f64 1 (exp.f64 a)) (/.f64 (log1p.f64 (exp.f64 a)) b)))) (+.f64 1 (pow.f64 (exp.f64 a) 3))) (-.f64 (pow.f64 (exp.f64 a) 2) (expm1.f64 a))) (.f64 (/.f64 (exp.f64 (+.f64 (log.f64 b) (.f64 (+.f64 1 (exp.f64 a)) (/.f64 (log1p.f64 (exp.f64 a)) b)))) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (neg.f64 (-.f64 1 (exp.f64 a)))) (.f64 (/.f64 (exp.f64 (+.f64 (log.f64 b) (.f64 (+.f64 1 (exp.f64 a)) (/.f64 (log1p.f64 (exp.f64 a)) b)))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (expm1.f64 a)))) (.f64 (/.f64 (exp.f64 (+.f64 (log.f64 b) (.f64 (+.f64 1 (exp.f64 a)) (/.f64 (log1p.f64 (exp.f64 a)) b)))) (-.f64 (pow.f64 (exp.f64 a) 2) 1)) (expm1.f64 a)) (/.f64 (.f64 b (exp.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)))) 1) (/.f64 (exp.f64 (+.f64 (log.f64 b) (.f64 (+.f64 1 (exp.f64 a)) (/.f64 (log1p.f64 (exp.f64 a)) b)))) (+.f64 1 (exp.f64 a))) (/.f64 (/.f64 (exp.f64 (+.f64 (log.f64 b) (.f64 (+.f64 1 (exp.f64 a)) (/.f64 (log1p.f64 (exp.f64 a)) b)))) 1) (+.f64 1 (exp.f64 a))) (/.f64 (/.f64 (exp.f64 (+.f64 (log.f64 b) (.f64 (+.f64 1 (exp.f64 a)) (/.f64 (log1p.f64 (exp.f64 a)) b)))) (sqrt.f64 (+.f64 1 (exp.f64 a)))) (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 (/.f64 (exp.f64 (+.f64 (log.f64 b) (.f64 (+.f64 1 (exp.f64 a)) (/.f64 (log1p.f64 (exp.f64 a)) b)))) (cbrt.f64 (+.f64 1 (exp.f64 a)))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 (/.f64 (exp.f64 (+.f64 (log.f64 b) (.f64 (+.f64 1 (exp.f64 a)) (/.f64 (log1p.f64 (exp.f64 a)) b)))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 (/.f64 (exp.f64 (+.f64 (log.f64 b) (.f64 (+.f64 1 (exp.f64 a)) (/.f64 (log1p.f64 (exp.f64 a)) b)))) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (/.f64 1 (-.f64 1 (exp.f64 a)))) (/.f64 (/.f64 (exp.f64 (+.f64 (log.f64 b) (.f64 (+.f64 1 (exp.f64 a)) (/.f64 (log1p.f64 (exp.f64 a)) b)))) (+.f64 1 (pow.f64 (exp.f64 a) 3))) (/.f64 1 (-.f64 (pow.f64 (exp.f64 a) 2) (expm1.f64 a)))) (pow.f64 (.f64 b (exp.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)))) 1) (pow.f64 (sqrt.f64 (.f64 b (exp.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))))) 2) (pow.f64 (cbrt.f64 (.f64 b (exp.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))))) 3) (pow.f64 (pow.f64 (.f64 b (exp.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)))) 3) 1/3) (pow.f64 (E.f64) (+.f64 (log.f64 b) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)))) (pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log.f64 b) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))))) (sqrt.f64 (+.f64 (log.f64 b) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))))) (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (+.f64 (log.f64 b) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))) 2))) (cbrt.f64 (+.f64 (log.f64 b) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))))) (sqrt.f64 (pow.f64 (.f64 b (exp.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)))) 2)) (log.f64 (pow.f64 (exp.f64 b) (exp.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))))) (log.f64 (+.f64 1 (expm1.f64 (.f64 b (exp.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))))))) (cbrt.f64 (pow.f64 (.f64 b (exp.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)))) 3)) (expm1.f64 (log1p.f64 (.f64 b (exp.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)))))) (log1p.f64 (expm1.f64 (.f64 b (exp.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)))))))
((-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 1 (exp.f64 a)) (/.f64 (log1p.f64 (exp.f64 a)) b)))) 1) (/.f64 1 (/.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (/.f64 (+.f64 1 (exp.f64 a)) (/.f64 b (log1p.f64 (exp.f64 a)))) (/.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (/.f64 (log1p.f64 (exp.f64 a)) b)) 1) (/.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (/.f64 (/.f64 b (log1p.f64 (exp.f64 a))) (sqrt.f64 (+.f64 1 (exp.f64 a))))) (/.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) (/.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))))) (/.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (/.f64 (/.f64 b (log1p.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (/.f64 (/.f64 b (log1p.f64 (exp.f64 a))) (cbrt.f64 (+.f64 1 (exp.f64 a))))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (/.f64 b (.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) (/.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))) (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (/.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (cbrt.f64 (log1p.f64 (exp.f64 a))))) (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (log1p.f64 (exp.f64 a))) b) (/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 (/.f64 b (log1p.f64 (exp.f64 a))) (/.f64 1 (-.f64 1 (exp.f64 a))))) (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 (/.f64 b (log1p.f64 (exp.f64 a))) (/.f64 1 (-.f64 (pow.f64 (exp.f64 a) 2) (expm1.f64 a))))) (/.f64 (-.f64 -1 (exp.f64 a)) (/.f64 (neg.f64 b) (log1p.f64 (exp.f64 a)))) (/.f64 (sqrt.f64 (.f64 (+.f64 1 (exp.f64 a)) (log1p.f64 (exp.f64 a)))) (/.f64 b (sqrt.f64 (.f64 (+.f64 1 (exp.f64 a)) (log1p.f64 (exp.f64 a)))))) (/.f64 (.f64 (cbrt.f64 (.f64 (+.f64 1 (exp.f64 a)) (log1p.f64 (exp.f64 a)))) (cbrt.f64 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1)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 b) 2) (.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (-.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (log.f64 b))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 b) 2) (.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (-.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (log.f64 b))))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 b) 2) (.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (-.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (log.f64 b)))))) (pow.f64 (+.f64 (log.f64 b) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))) 1) (pow.f64 (sqrt.f64 (+.f64 (log.f64 b) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)))) 2) (pow.f64 (cbrt.f64 (+.f64 (log.f64 b) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)))) 3) (pow.f64 (pow.f64 (+.f64 (log.f64 b) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))) 3) 1/3) (sqrt.f64 (pow.f64 (+.f64 (log.f64 b) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))) 2)) (log.f64 (.f64 b (exp.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))))) (log.f64 (+.f64 1 (expm1.f64 (+.f64 (log.f64 b) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)))))) (cbrt.f64 (pow.f64 (+.f64 (log.f64 b) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))) 3)) (expm1.f64 (log1p.f64 (+.f64 (log.f64 b) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))))) (exp.f64 (log.f64 (+.f64 (log.f64 b) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))))) (exp.f64 (.f64 (log.f64 (+.f64 (log.f64 b) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)))) 1)) (log1p.f64 (expm1.f64 (+.f64 (log.f64 b) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))))) (fma.f64 1 (log.f64 b) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))) (fma.f64 1 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (log.f64 b)) (fma.f64 (sqrt.f64 (log.f64 b)) (sqrt.f64 (log.f64 b)) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))) (fma.f64 (sqrt.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))) (sqrt.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))) (log.f64 b)) (fma.f64 (pow.f64 (cbrt.f64 (log.f64 b)) 2) (cbrt.f64 (log.f64 b)) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))) (fma.f64 (pow.f64 (cbrt.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))) 2) (cbrt.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))) (log.f64 b)))

simplify205.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1002×	`associate-/l*`
992×	`associate-r`
758×	`associate-l`
692×	`*-commutative`
678×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	879	31302
1	2523	30182

Stop Event

1×	node limit

Counts

384 → 599

Calls

Call 1

Inputs
(exp.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (log1p.f64 (exp.f64 a))) b) (log.f64 b)) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (log1p.f64 (exp.f64 a))) b) (log.f64 b)) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (log1p.f64 (exp.f64 a))) b) (log.f64 b)) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (log1p.f64 (exp.f64 a))) b) (log.f64 b)) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))
(+.f64 (exp.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a))))) (/.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (.f64 (+.f64 1 (exp.f64 a)) (exp.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a))))))) b))
(+.f64 (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (exp.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a))))))) b) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a))))))) (pow.f64 b 2))) (exp.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))))
(+.f64 (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (exp.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a))))))) b) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a))))))) (pow.f64 b 2))) (+.f64 (exp.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a))))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 3) (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (exp.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a))))))) (pow.f64 b 3))))))
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(.f64 (/.f64 (+.f64 (pow.f64 (log.f64 b) 3) (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) 3)) (+.f64 (pow.f64 (pow.f64 (log.f64 b) 2) 3) (pow.f64 (.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (-.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (log.f64 b))) 3))) (-.f64 (+.f64 (.f64 (pow.f64 (log.f64 b) 2) (pow.f64 (log.f64 b) 2)) (.f64 (.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (-.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (log.f64 b))) (.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (-.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (log.f64 b))))) (.f64 (pow.f64 (log.f64 b) 2) (.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (-.f64 (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (log.f64 b))))))
(/.f64 1 (/.f64 1 (+.f64 (log.f64 b) (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)))))
(/.f64 (+.f64 (log.f64 b) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))) (/.f64 (-.f64 (log.f64 b) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))) (-.f64 (log.f64 b) (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)))))
(/.f64 (-.f64 (pow.f64 (log.f64 b) 2) (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) 2)) (-.f64 (log.f64 b) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))))
(/.f64 (+.f64 (pow.f64 (log.f64 b) 3) (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) 3)) (+.f64 (pow.f64 (log.f64 b) 2) (.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (-.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (log.f64 b)))))
(/.f64 (+.f64 (pow.f64 (log.f64 b) 2) (.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (-.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (log.f64 b)))) (/.f64 (+.f64 (pow.f64 (log.f64 b) 2) (.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (-.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (log.f64 b)))) (+.f64 (log.f64 b) (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log.f64 b) 2) (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) 2))) (/.f64 (-.f64 (log.f64 b) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))) (sqrt.f64 (-.f64 (pow.f64 (log.f64 b) 2) (pow.f64 (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) 2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 b) 3) (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) 3))) (/.f64 (+.f64 (pow.f64 (log.f64 b) 2) (.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (-.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (log.f64 b)))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 b) 3) (pow.f64 (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) 3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 b) 2) (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) 2))) (cbrt.f64 (-.f64 (pow.f64 (log.f64 b) 2) (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) 2)))) (/.f64 (-.f64 (log.f64 b) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))) (cbrt.f64 (-.f64 (pow.f64 (log.f64 b) 2) (pow.f64 (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) 2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 b) 3) (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) 3))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 b) 3) (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) 3)))) (/.f64 (+.f64 (pow.f64 (log.f64 b) 2) (.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (-.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (log.f64 b)))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 b) 3) (pow.f64 (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) 3)))))
(/.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) 2) (pow.f64 (log.f64 b) 2)) (-.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (log.f64 b)))
(/.f64 (-.f64 (.f64 (+.f64 (log.f64 b) (.f64 (+.f64 1 (exp.f64 a)) (/.f64 (log1p.f64 (exp.f64 a)) b))) (+.f64 (log.f64 b) (.f64 (+.f64 1 (exp.f64 a)) (/.f64 (log1p.f64 (exp.f64 a)) b)))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (+.f64 (log.f64 b) (.f64 (log1p.f64 (exp.f64 a)) (+.f64 1 (/.f64 (+.f64 1 (exp.f64 a)) b)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 b) (.f64 (+.f64 1 (exp.f64 a)) (/.f64 (log1p.f64 (exp.f64 a)) b))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (+.f64 (+.f64 (.f64 (+.f64 (log.f64 b) (.f64 (+.f64 1 (exp.f64 a)) (/.f64 (log1p.f64 (exp.f64 a)) b))) (+.f64 (log.f64 b) (.f64 (+.f64 1 (exp.f64 a)) (/.f64 (log1p.f64 (exp.f64 a)) b)))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (.f64 (+.f64 (log.f64 b) (.f64 (+.f64 1 (exp.f64 a)) (/.f64 (log1p.f64 (exp.f64 a)) b))) (log1p.f64 (exp.f64 a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 b) 2) (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) 2))) (neg.f64 (-.f64 (log.f64 b) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 b) 3) (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 b) 2) (.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (-.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (log.f64 b))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 b) 2) (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) 2)) 1) (-.f64 (log.f64 b) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 b) 2) (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) 2)) (sqrt.f64 (-.f64 (log.f64 b) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))))) (sqrt.f64 (-.f64 (log.f64 b) (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 b) 2) (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) 2)) (.f64 (cbrt.f64 (-.f64 (log.f64 b) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)))) (cbrt.f64 (-.f64 (log.f64 b) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)))))) (cbrt.f64 (-.f64 (log.f64 b) (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 b) 2) (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) 2)) (+.f64 (sqrt.f64 (log.f64 b)) (sqrt.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))))) (-.f64 (sqrt.f64 (log.f64 b)) (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 b) 3) (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) 3)) 1) (+.f64 (pow.f64 (log.f64 b) 2) (.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (-.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (log.f64 b)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 b) 3) (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) 3)) (sqrt.f64 (+.f64 (pow.f64 (log.f64 b) 2) (.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (-.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (log.f64 b)))))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 b) 2) (.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (-.f64 (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (log.f64 b))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 b) 3) (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 b) 2) (.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (-.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (log.f64 b))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 b) 2) (.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (-.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (log.f64 b))))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 b) 2) (.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (-.f64 (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (log.f64 b))))))
(pow.f64 (+.f64 (log.f64 b) (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))) 1)
(pow.f64 (sqrt.f64 (+.f64 (log.f64 b) (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (log.f64 b) (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)))) 3)
(pow.f64 (pow.f64 (+.f64 (log.f64 b) (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (log.f64 b) (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))) 2))
(log.f64 (.f64 b (exp.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log.f64 b) (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))))))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 b) (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))) 3))
(expm1.f64 (log1p.f64 (+.f64 (log.f64 b) (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)))))
(exp.f64 (log.f64 (+.f64 (log.f64 b) (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)))))
(exp.f64 (.f64 (log.f64 (+.f64 (log.f64 b) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (log.f64 b) (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)))))
(fma.f64 1 (log.f64 b) (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)))
(fma.f64 1 (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)) (log.f64 b))
(fma.f64 (sqrt.f64 (log.f64 b)) (sqrt.f64 (log.f64 b)) (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)))
(fma.f64 (sqrt.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))) (sqrt.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))) (log.f64 b))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 b)) 2) (cbrt.f64 (log.f64 b)) (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))) 2) (cbrt.f64 (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))) (log.f64 b))

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

eval830.0ms (4.7%)

Compiler: Compiled 50552 to 32495 computations (35.7% saved)

prune357.0ms (2%)

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	1461	11	1472
Fresh	6	5	11
Picked	1	0	1
Done	2	6	8
Total	1470	22	1492

Accurracy

99.3%

Counts

1492 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.5%	(pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))) 3)
	52.0%	(/.f64 b (+.f64 1 (exp.f64 a)))
	49.2%	(-.f64 (exp.f64 (log1p.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))) 2)
	47.9%	(+.f64 (fma.f64 1/2 a (log.f64 2)) (.f64 (.f64 a a) 1/8))
✓	50.1%	(+.f64 (*.f64 1/2 b) (log.f64 2))
	48.3%	(+.f64 (*.f64 1/2 a) (log.f64 2))
✓	12.1%	(*.f64 1/2 b)
	50.2%	(log1p.f64 (+.f64 (+.f64 b (.f64 b (.f64 b 1/2))) 1))
	50.2%	(log1p.f64 (+.f64 b (+.f64 (.f64 1/2 (.f64 b b)) 1)))
✓	50.5%	(log1p.f64 (exp.f64 b))
✓	50.3%	(log1p.f64 (exp.f64 a))
	50.2%	(log.f64 (-.f64 (/.f64 4 (-.f64 2 b)) (-.f64 (/.f64 (.f64 b b) (-.f64 2 b)) (.f64 b (*.f64 b 1/2)))))
✓	50.2%	(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
	49.8%	(log.f64 (+.f64 2 b))
✓	48.9%	(log.f64 2)
	49.9%	(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))) 3))
	0.5%	(expm1.f64 (+.f64 (.f64 2 (/.f64 (+.f64 1 (log.f64 2)) b)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 1/2))))
	49.9%	(expm1.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))
	49.9%	(expm1.f64 (exp.f64 (log.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))))
	0.6%	(exp.f64 (-.f64 (+.f64 (log.f64 b) (*.f64 2 (/.f64 (log.f64 2) b))) (log.f64 2)))
	23.5%	(exp.f64 (+.f64 (log.f64 b) (/.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (exp.f64 a))) b)))
	49.9%	(exp.f64 (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))

Compiler

Compiled 243 to 202 computations (16.9% saved)

regimes71.0ms (0.4%)

Counts

43 → 1

Calls

Call 1

Inputs
(*.f64 1/2 b)
(log.f64 2)
(log.f64 (+.f64 2 b))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
(log1p.f64 (+.f64 b (+.f64 (.f64 1/2 (.f64 b b)) 1)))
(log1p.f64 (+.f64 (+.f64 b (.f64 b (.f64 b 1/2))) 1))
(log.f64 (-.f64 (/.f64 4 (-.f64 2 b)) (-.f64 (/.f64 (.f64 b b) (-.f64 2 b)) (.f64 b (*.f64 b 1/2)))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)
(+.f64 (fma.f64 1/2 a (log.f64 2)) (.f64 (.f64 a a) 1/8))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(exp.f64 (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))) 3)
(expm1.f64 (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 3)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))) 2)
(exp.f64 (-.f64 (+.f64 (log.f64 b) (*.f64 2 (/.f64 (log.f64 2) b))) (log.f64 2)))
(expm1.f64 (+.f64 (.f64 2 (/.f64 (+.f64 1 (log.f64 2)) b)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 1/2))))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(expm1.f64 (exp.f64 (log.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))))
(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))) 3))
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)
(exp.f64 (+.f64 (log.f64 b) (/.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (exp.f64 a))) b)))
(exp.f64 (exp.f64 (log.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))
(expm1.f64 (exp.f64 (log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))
(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 3))
(exp.f64 (+.f64 (log.f64 b) (-.f64 (*.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) (log1p.f64 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(expm1.f64 (+.f64 (log.f64 b) (-.f64 (/.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2)) (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3)))))

Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))

Calls

6 calls:

20.0ms	a
19.0ms	b
6.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
97.8%	1	`a`
97.8%	1	`b`
97.8%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
97.8%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
97.8%	1	`(exp.f64 a)`
97.8%	1	`(exp.f64 b)`

Compiler

Compiled 517 to 331 computations (36% saved)

regimes45.0ms (0.3%)

Counts

24 → 1

Calls

Call 1

Inputs
(*.f64 1/2 b)
(log.f64 2)
(log.f64 (+.f64 2 b))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
(log1p.f64 (+.f64 b (+.f64 (.f64 1/2 (.f64 b b)) 1)))
(log1p.f64 (+.f64 (+.f64 b (.f64 b (.f64 b 1/2))) 1))
(log.f64 (-.f64 (/.f64 4 (-.f64 2 b)) (-.f64 (/.f64 (.f64 b b) (-.f64 2 b)) (.f64 b (*.f64 b 1/2)))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)
(+.f64 (fma.f64 1/2 a (log.f64 2)) (.f64 (.f64 a a) 1/8))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(exp.f64 (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))) 3)
(expm1.f64 (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))

Outputs
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))

Calls

6 calls:

13.0ms	a
12.0ms	b
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
97.3%	1	`a`
97.3%	1	`b`
97.3%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
97.3%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
97.3%	1	`(exp.f64 a)`
97.3%	1	`(exp.f64 b)`

Compiler

Compiled 211 to 146 computations (30.8% saved)

regimes60.0ms (0.3%)

Counts

19 → 2

Calls

Call 1

Inputs
(*.f64 1/2 b)
(log.f64 2)
(log.f64 (+.f64 2 b))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
(log1p.f64 (+.f64 b (+.f64 (.f64 1/2 (.f64 b b)) 1)))
(log1p.f64 (+.f64 (+.f64 b (.f64 b (.f64 b 1/2))) 1))
(log.f64 (-.f64 (/.f64 4 (-.f64 2 b)) (-.f64 (/.f64 (.f64 b b) (-.f64 2 b)) (.f64 b (*.f64 b 1/2)))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)
(+.f64 (fma.f64 1/2 a (log.f64 2)) (.f64 (.f64 a a) 1/8))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Calls

6 calls:

19.0ms	a
18.0ms	b
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
98.4%	2	`a`
66.8%	2	`b`
98.4%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
98.4%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
98.4%	2	`(exp.f64 a)`
54.4%	1	`(exp.f64 b)`

Compiler

Compiled 170 to 112 computations (34.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.04746735885796574

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes50.0ms (0.3%)

Counts

18 → 2

Calls

Call 1

Inputs
(*.f64 1/2 b)
(log.f64 2)
(log.f64 (+.f64 2 b))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
(log1p.f64 (+.f64 b (+.f64 (.f64 1/2 (.f64 b b)) 1)))
(log1p.f64 (+.f64 (+.f64 b (.f64 b (.f64 b 1/2))) 1))
(log.f64 (-.f64 (/.f64 4 (-.f64 2 b)) (-.f64 (/.f64 (.f64 b b) (-.f64 2 b)) (.f64 b (*.f64 b 1/2)))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)
(+.f64 (fma.f64 1/2 a (log.f64 2)) (.f64 (.f64 a a) 1/8))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))

Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))

Calls

4 calls:

18.0ms	a
18.0ms	b
5.0ms	(exp.f64 b)
4.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
98.1%	2	`a`
65.6%	2	`b`
98.1%	2	`(exp.f64 a)`
54.6%	2	`(exp.f64 b)`

Compiler

Compiled 149 to 99 computations (33.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.04746735885796574

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes48.0ms (0.3%)

Counts

17 → 2

Calls

Call 1

Inputs
(*.f64 1/2 b)
(log.f64 2)
(log.f64 (+.f64 2 b))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
(log1p.f64 (+.f64 b (+.f64 (.f64 1/2 (.f64 b b)) 1)))
(log1p.f64 (+.f64 (+.f64 b (.f64 b (.f64 b 1/2))) 1))
(log.f64 (-.f64 (/.f64 4 (-.f64 2 b)) (-.f64 (/.f64 (.f64 b b) (-.f64 2 b)) (.f64 b (*.f64 b 1/2)))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)
(+.f64 (fma.f64 1/2 a (log.f64 2)) (.f64 (.f64 a a) 1/8))

Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 b))

Calls

4 calls:

17.0ms	a
17.0ms	b
5.0ms	(exp.f64 b)
4.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
97.7%	2	`a`
65.0%	2	`b`
97.7%	2	`(exp.f64 a)`
54.0%	2	`(exp.f64 b)`

Compiler

Compiled 136 to 92 computations (32.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.04746735885796574

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes32.0ms (0.2%)

Counts

11 → 2

Calls

Call 1

Inputs
(*.f64 1/2 b)
(log.f64 2)
(log.f64 (+.f64 2 b))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
(log1p.f64 (+.f64 b (+.f64 (.f64 1/2 (.f64 b b)) 1)))
(log1p.f64 (+.f64 (+.f64 b (.f64 b (.f64 b 1/2))) 1))
(log.f64 (-.f64 (/.f64 4 (-.f64 2 b)) (-.f64 (/.f64 (.f64 b b) (-.f64 2 b)) (.f64 b (*.f64 b 1/2)))))
(log1p.f64 (exp.f64 a))

Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(log1p.f64 (+.f64 b (+.f64 (.f64 1/2 (.f64 b b)) 1)))

Calls

3 calls:

13.0ms	b
12.0ms	a
4.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
97.4%	2	`a`
64.4%	2	`b`
97.4%	2	`(exp.f64 a)`

Compiler

Compiled 92 to 64 computations (30.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.04746735885796574

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes30.0ms (0.2%)

Counts

7 → 2

Calls

Call 1

Inputs
(*.f64 1/2 b)
(log.f64 2)
(log.f64 (+.f64 2 b))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))

Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))

Calls

3 calls:

15.0ms	b
10.0ms	a
4.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
97.4%	2	`a`
64.4%	2	`b`
97.4%	2	`(exp.f64 a)`

Compiler

Compiled 49 to 37 computations (24.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.04746735885796574

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes28.0ms (0.2%)

Counts

6 → 2

Calls

Call 1

Inputs
(*.f64 1/2 b)
(log.f64 2)
(log.f64 (+.f64 2 b))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))

Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 2))

Calls

3 calls:

13.0ms	b
9.0ms	a
4.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
97.1%	2	`a`
64.2%	2	`b`
97.1%	2	`(exp.f64 a)`

Compiler

Compiled 39 to 30 computations (23.1% saved)

bsearch24.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	-2999136.896314414	-3.047712986096835

Results

16.0ms	132×	body	256	valid
4.0ms	7×	body	1024	valid
1.0ms	4×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 175 to 145 computations (17.1% saved)

regimes16.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

Inputs
(*.f64 1/2 b)
(log.f64 2)
(log.f64 (+.f64 2 b))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))

Outputs
(*.f64 1/2 b)
(+.f64 (*.f64 1/2 b) (log.f64 2))

Calls

2 calls:

8.0ms	a
6.0ms	b

Results

Accuracy	Segments	Branch
57.1%	2	`a`
50.1%	1	`b`

Compiler

Compiled 29 to 23 computations (20.7% saved)

bsearch33.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	-2999136.896314414	-3.047712986096835

Results

12.0ms	89×	body	256	valid
10.0ms	39×	body	512	valid
8.0ms	16×	body	1024	valid

Compiler

Compiled 148 to 127 computations (14.2% saved)

regimes13.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

Inputs
(*.f64 1/2 b)
(log.f64 2)
(log.f64 (+.f64 2 b))
(+.f64 (*.f64 1/2 a) (log.f64 2))

Outputs
(*.f64 1/2 b)
(log.f64 (+.f64 2 b))

Calls

2 calls:

8.0ms	a
4.0ms	b

Results

Accuracy	Segments	Branch
56.9%	2	`a`
49.8%	1	`b`

Compiler

Compiled 23 to 18 computations (21.7% saved)

bsearch39.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
39.0ms	-2999136.896314414	-3.047712986096835

Results

22.0ms	80×	body	512	valid
8.0ms	14×	body	1024	valid
6.0ms	48×	body	256	valid
2.0ms	2×	body	2048	valid

Compiler

Compiled 130 to 109 computations (16.2% saved)

regimes10.0ms (0.1%)

Accuracy

Total -32.9b remaining (-117.2%)

Threshold costs -32.9b (-117.2%)

Counts

2 → 2

Calls

Call 1

Inputs
(*.f64 1/2 b)
(log.f64 2)

Outputs
(*.f64 1/2 b)
(log.f64 2)

Calls

2 calls:

6.0ms	a
3.0ms	b

Results

Accuracy	Segments	Branch
56.1%	2	`a`
48.9%	1	`b`

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch40.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
40.0ms	-2999136.896314414	-3.047712986096835

Results

24.0ms	86×	body	512	valid
9.0ms	17×	body	1024	valid
5.0ms	41×	body	256	valid

Compiler

Compiled 112 to 100 computations (10.7% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

24×	`+-commutative`
4×	`*-commutative`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	456
1	73	456

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (+.f64 b (+.f64 (.f64 1/2 (.f64 b b)) 1))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b)))))
(if (<=.f64 a -28) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -135) (.f64 1/2 b) (+.f64 (.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -185) (*.f64 1/2 b) (log.f64 (+.f64 2 b)))
(if (<=.f64 a -165) (*.f64 1/2 b) (log.f64 2))
(*.f64 1/2 b)

Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (+.f64 b (+.f64 (.f64 1/2 (.f64 b b)) 1))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (+.f64 b (+.f64 1 (.f64 1/2 (.f64 b b))))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b)))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 (.f64 1/2 (.f64 b b)) (+.f64 b 2))))
(if (<=.f64 a -28) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -28) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (*.f64 b 1/2) (log.f64 2)))
(if (<=.f64 a -135) (.f64 1/2 b) (+.f64 (.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -135) (.f64 b 1/2) (+.f64 (.f64 b 1/2) (log.f64 2)))
(if (<=.f64 a -185) (*.f64 1/2 b) (log.f64 (+.f64 2 b)))
(if (<=.f64 a -185) (*.f64 b 1/2) (log.f64 (+.f64 b 2)))
(if (<=.f64 a -165) (*.f64 1/2 b) (log.f64 2))
(if (<=.f64 a -165) (*.f64 b 1/2) (log.f64 2))
(*.f64 1/2 b)
(*.f64 b 1/2)

Compiler

Compiled 189 to 135 computations (28.6% saved)

soundness85.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1090×	`fma-def`
1004×	`unswap-sqr`
902×	`distribute-lft-in`
844×	`distribute-rgt-in`
516×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	2618
1	499	2362
2	1982	2350
3	7711	2350

Stop Event

1×	node limit

Compiler

Compiled 24 to 15 computations (37.5% saved)

end104.0ms (0.6%)

Compiler: Compiled 205 to 127 computations (38% saved)