Details

analyze188.0ms (1.2%)

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)

sample11.0s (72.5%)

Results

8.6s	7542×	body	8192	exit
1.2s	2018×	body	1024	valid
653.0ms	5020×	body	256	valid
325.0ms	1006×	body	512	valid
149.0ms	212×	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)

simplify17.0ms (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

Error

28.3b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.3b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 8 to 6 computations (25% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	3.6b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series74.0ms (0.5%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
30.0ms	a	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
21.0ms	a	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
11.0ms	b	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
10.0ms	b	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	a	@	0	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite71.0ms (0.5%)

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
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.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))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.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))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2)) (-.f64 (exp.f64 b) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 a) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 b) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) (exp.f64 a))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.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))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2)) (-.f64 (exp.f64 b) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 a) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 b) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) (exp.f64 a))))))

simplify83.0ms (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)))))
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(/.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))

eval35.0ms (0.2%)

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

prune18.0ms (0.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	109	6	115
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	110	6	116

Error

0.6b

Counts

116 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	1.8b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
▶	1.0b	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
▶	30.0b	(log1p.f64 (exp.f64 b))
▶	30.1b	(log1p.f64 (exp.f64 a))
▶	29.5b	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
▶	29.3b	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))

Compiler

Compiled 108 to 80 computations (25.9% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 b)
✓	0.7b	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series28.0ms (0.2%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	a	@	-inf	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
7.0ms	a	@	inf	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
7.0ms	b	@	inf	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
6.0ms	b	@	-inf	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
0.0ms	a	@	0	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))

rewrite89.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1838×	`add-sqr-sqrt`
1822×	`*-un-lft-identity`
1694×	`add-cube-cbrt`
1674×	`add-cbrt-cube`
184×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	180	24
2	2264	24

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (+.f64 1 (exp.f64 a)) (expm1.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (expm1.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (expm1.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (expm1.f64 b)) (sqrt.f64 (expm1.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (expm1.f64 b)) (pow.f64 (cbrt.f64 (expm1.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) (cbrt.f64 (expm1.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (exp.f64 b) (exp.f64 b)) 1) (+.f64 (exp.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 b) 3) 1) (+.f64 (.f64 (exp.f64 b) (exp.f64 b)) (+.f64 1 (.f64 (exp.f64 b) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (expm1.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 b)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (+.f64 1 (exp.f64 a)) (expm1.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 b)) (sqrt.f64 (expm1.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 b)) (pow.f64 (cbrt.f64 (expm1.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) (cbrt.f64 (expm1.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 b) (exp.f64 b)) 1) (+.f64 (exp.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 b) 3) 1) (+.f64 (*.f64 (exp.f64 b) (exp.f64 b)) (+.f64 1 (*.f64 (exp.f64 b) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (expm1.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 b)))))))

simplify69.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1444×	`associate-*r/`
1182×	`associate-/l*`
1182×	`associate-/r*`
1084×	`associate-*l/`
768×	`+-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	139	1540
1	340	1524
2	1422	1506
3	4580	1494

Stop Event

1×	node limit

Counts

72 → 84

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

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

localize4.0ms (0%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.7b	(log1p.f64 (exp.f64 b))

Compiler

Compiled 8 to 4 computations (50% saved)

series40.0ms (0.3%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
28.0ms	b	@	inf	(log1p.f64 (exp.f64 b))
11.0ms	b	@	-inf	(log1p.f64 (exp.f64 b))
0.0ms	b	@	0	(log1p.f64 (exp.f64 b))

rewrite51.0ms (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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (exp.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))))))

simplify57.0ms (0.4%)

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))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 a) (+.f64 1 b))
✓	2.6b	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))

Compiler

Compiled 23 to 13 computations (43.5% saved)

series26.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite86.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

966×	`associate-*r/`
886×	`*-commutative`
796×	`distribute-lft-in`
756×	`distribute-rgt-in`
668×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	204	38
2	2669	32

Stop Event

1×	node limit

Counts

2 → 120

Calls

Call 1

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

Outputs

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(+.f64 1 b) 2) 3)) (/.f64 1 (-.f64 (expm1.f64 a) b))) (+.f64 (*.f64 (exp.f64 a) (pow.f64 (exp.f64 a) 3)) (*.f64 (pow.f64 (+.f64 1 b) 2) (+.f64 (pow.f64 (+.f64 1 b) 2) (pow.f64 (exp.f64 a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 a) 3)) (*.f64 (pow.f64 (+.f64 1 b) 3) (pow.f64 (+.f64 1 b) 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 b) 2) (*.f64 (exp.f64 a) (-.f64 (expm1.f64 a) b))))) (-.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) 3) 3) (pow.f64 (pow.f64 (+.f64 1 b) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 b) 2) (*.f64 (exp.f64 a) (-.f64 (expm1.f64 a) b))))) (+.f64 (*.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 a) 3)) (*.f64 (pow.f64 (+.f64 1 b) 3) (-.f64 (pow.f64 (+.f64 1 b) 3) (pow.f64 (exp.f64 a) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 b) 2)) 1) (-.f64 (expm1.f64 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 b) 2)) (sqrt.f64 (-.f64 (expm1.f64 a) b))) (sqrt.f64 (-.f64 (expm1.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 b) 2)) (*.f64 (cbrt.f64 (-.f64 (expm1.f64 a) b)) (cbrt.f64 (-.f64 (expm1.f64 a) b)))) (cbrt.f64 (-.f64 (expm1.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 b) 2)) (+.f64 (sqrt.f64 (+.f64 1 b)) (sqrt.f64 (exp.f64 a)))) (-.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 b) 3)) 1) (+.f64 (pow.f64 (+.f64 1 b) 2) (*.f64 (exp.f64 a) (-.f64 (expm1.f64 a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 b) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 b) 2) (*.f64 (exp.f64 a) (-.f64 (expm1.f64 a) b))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 b) 2) (*.f64 (exp.f64 a) (-.f64 (expm1.f64 a) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 b) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 b) 2) (*.f64 (exp.f64 a) (-.f64 (expm1.f64 a) b)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 b) 2) (*.f64 (exp.f64 a) (-.f64 (expm1.f64 a) b)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 b) 2) (*.f64 (exp.f64 a) (-.f64 (expm1.f64 a) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log1p.f64 (+.f64 (exp.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2)) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 b) 2)) (neg.f64 (-.f64 (expm1.f64 a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 b) 3)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 b) 2) (*.f64 (exp.f64 a) (-.f64 (expm1.f64 a) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (+.f64 2 b) (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 a) (+.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 b) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 b)) (sqrt.f64 (+.f64 1 b)) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (+.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 b)) 2) (cbrt.f64 (+.f64 1 b)) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (+.f64 1 b))))))

simplify118.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1456×	`associate-*r/`
1260×	`associate-*l/`
1094×	`+-commutative`
378×	`associate-r`
368×	`associate--r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	400	7044
1	1136	6662
2	4770	6662

Stop Event

1×	node limit

Counts

168 → 246

Calls

Call 1

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

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

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))
✓	0.0b	(.f64 1/2 (.f64 b b))
✓	2.6b	(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 (0.5%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
56.0ms	a	@	inf	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
13.0ms	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))))))

rewrite93.0ms (0.6%)

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	81
1	299	73
2	4054	73

Stop Event

1×	node limit

Counts

3 → 113

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 b (*.f64 b 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (*.f64 b 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (sqrt.f64 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/8 (pow.f64 (*.f64 b b) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/8 (pow.f64 (*.f64 b b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 b (*.f64 b 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 b (*.f64 b 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 b (*.f64 b 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 b (*.f64 b 1/2))))))))

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(exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 2 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x 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)))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))

simplify131.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1218×	`+-commutative`
1174×	`unswap-sqr`
942×	`*-commutative`
696×	`associate-/l*`
672×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	397	8941
1	1071	8747
2	3890	8723

Stop Event

1×	node limit

Counts

173 → 248

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

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 (fma.f64 b (*.f64 b 1/2) b)))
(+.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 (fma.f64 b (.f64 b 1/2) b))) (/.f64 a (+.f64 2 (fma.f64 b (.f64 b 1/2) b))))
(+.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 (fma.f64 b (.f64 b 1/2) b))) (fma.f64 1/2 (.f64 a (.f64 a (+.f64 (/.f64 1 (+.f64 2 (fma.f64 b (.f64 b 1/2) b))) (/.f64 -1 (pow.f64 (+.f64 2 (fma.f64 b (.f64 b 1/2) b)) 2))))) (log.f64 (+.f64 2 (fma.f64 b (.f64 b 1/2) b)))))
(+.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 (fma.f64 b (.f64 b 1/2) b))) (fma.f64 1/6 (.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 2 (fma.f64 b (.f64 b 1/2) b))) (+.f64 (/.f64 2 (pow.f64 (+.f64 2 (fma.f64 b (.f64 b 1/2) b)) 3)) (/.f64 -3 (pow.f64 (+.f64 2 (fma.f64 b (.f64 b 1/2) b)) 2))))) (fma.f64 1/2 (.f64 a (.f64 a (+.f64 (/.f64 1 (+.f64 2 (fma.f64 b (.f64 b 1/2) b))) (/.f64 -1 (pow.f64 (+.f64 2 (fma.f64 b (.f64 b 1/2) b)) 2))))) (log.f64 (+.f64 2 (fma.f64 b (.f64 b 1/2) b))))))
(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) (fma.f64 b (*.f64 b 1/2) b)))
(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) (fma.f64 b (*.f64 b 1/2) b)))
(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) (fma.f64 b (*.f64 b 1/2) b)))
(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) (fma.f64 b (*.f64 b 1/2) b)))
(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) (fma.f64 b (*.f64 b 1/2) b)))
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(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 b (.f64 b 1/2) b)) 3) 3)) (.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 b (.f64 b 1/2) b)) 6) (pow.f64 (+.f64 (exp.f64 a) (fma.f64 b (.f64 b 1/2) b)) 3))) (fma.f64 (+.f64 (exp.f64 a) (fma.f64 b (.f64 b 1/2) b)) (+.f64 (fma.f64 b (.f64 b 1/2) b) (expm1.f64 a)) 1)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 b (.f64 b 1/2) b)) 3) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 b (.f64 b 1/2) b)) 6) (pow.f64 (+.f64 (exp.f64 a) (fma.f64 b (.f64 b 1/2) b)) 3)))) (fma.f64 (+.f64 (exp.f64 a) (fma.f64 b (.f64 b 1/2) b)) (+.f64 (fma.f64 b (*.f64 b 1/2) b) (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 (+.f64 b (exp.f64 a)) (fma.f64 b (*.f64 b 1/2) 1))
(+.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 (+.f64 b (exp.f64 a)) (fma.f64 b (*.f64 b 1/2) 1))
(+.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 (+.f64 b (exp.f64 a)) (fma.f64 b (*.f64 b 1/2) 1))
(+.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 (+.f64 b (exp.f64 a)) (fma.f64 b (*.f64 b 1/2) 1))
(+.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 (+.f64 b (exp.f64 a)) (fma.f64 b (*.f64 b 1/2) 1))
(+.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 (+.f64 b (exp.f64 a)) (fma.f64 b (*.f64 b 1/2) 1))
(+.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 (+.f64 b (exp.f64 a)) (fma.f64 b (*.f64 b 1/2) 1))
(+.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 (+.f64 b (exp.f64 a)) (fma.f64 b (*.f64 b 1/2) 1)))
(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 (+.f64 b (exp.f64 a)) (fma.f64 b (*.f64 b 1/2) 1))
(+.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 (+.f64 b (exp.f64 a)) (fma.f64 b (*.f64 b 1/2) 1))
(+.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 (+.f64 b (exp.f64 a)) (fma.f64 b (*.f64 b 1/2) 1))
(+.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 (+.f64 b (exp.f64 a)) (fma.f64 b (*.f64 b 1/2) 1))
(+.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 (+.f64 b (exp.f64 a)) (fma.f64 b (*.f64 b 1/2) 1))
(+.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 (+.f64 b (exp.f64 a)) (fma.f64 b (*.f64 b 1/2) 1))
(+.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 (+.f64 b (exp.f64 a)) (fma.f64 b (*.f64 b 1/2) 1))
(+.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 (+.f64 b (exp.f64 a)) (fma.f64 b (*.f64 b 1/2) 1))
(+.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 (+.f64 b (exp.f64 a)) (fma.f64 b (*.f64 b 1/2) 1))
(+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1)))

eval296.0ms (2%)

Compiler: Compiled 14585 to 8747 computations (40% saved)

prune113.0ms (0.7%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	611	10	621
Fresh	1	0	1
Picked	1	0	1
Done	1	3	4
Total	614	13	627

Error

0.6b

Counts

627 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	31.3b	(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
▶	31.0b	(+.f64 (*.f64 1/2 b) (log.f64 2))
▶	1.8b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))
	2.1b	(log1p.f64 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))
✓	1.0b	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
▶	2.4b	(log1p.f64 (+.f64 (exp.f64 a) b))
✓	30.0b	(log1p.f64 (exp.f64 b))
✓	30.1b	(log1p.f64 (exp.f64 a))
	29.5b	(log.f64 (-.f64 (+.f64 (+.f64 2 b) (exp.f64 a)) 1))
	32.0b	(log.f64 (+.f64 b (+.f64 2 a)))
▶	31.1b	(log.f64 (+.f64 2 b))
	63.1b	(log.f64 b)
▶	31.5b	(log.f64 2)

Compiler

Compiled 188 to 146 computations (22.3% saved)

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 b (+.f64 2 (expm1.f64 a)))

Compiler

Compiled 32 to 15 computations (53.1% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite72.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

964×	`associate-*r/`
860×	`*-commutative`
756×	`associate-/r*`
674×	`associate-*l/`
572×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	191	17
2	2476	17

Stop Event

1×	node limit

Counts

1 → 79

Calls

Call 1

Inputs
(/.f64 b (+.f64 2 (expm1.f64 a)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) 2) (*.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (neg.f64 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (-.f64 2 (exp.f64 a))) (*.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) 4) (*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))) (*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2)))) (*.f64 (neg.f64 (expm1.f64 a)) (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 2 (exp.f64 a)) (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2)))) (*.f64 1 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3)))) (*.f64 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)) (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)) (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3)))) (*.f64 4 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 (+.f64 2 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b (+.f64 2 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (/.f64 (sqrt.f64 b) (+.f64 2 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2) (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (cbrt.f64 b) (+.f64 2 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 2 (expm1.f64 a)) (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 (expm1.f64 a))) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))) (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (-.f64 -2 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (+.f64 2 (expm1.f64 a))) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (+.f64 2 (expm1.f64 a))) (/.f64 (sqrt.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 b) (+.f64 2 (expm1.f64 a))) (pow.f64 (cbrt.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 b) (+.f64 2 (expm1.f64 a))) (/.f64 (pow.f64 (cbrt.f64 b) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b 1) (/.f64 1 (+.f64 2 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (sqrt.f64 (+.f64 2 (expm1.f64 a)))) (/.f64 1 (sqrt.f64 (+.f64 2 (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (expm1.f64 a)))) (/.f64 b (sqrt.f64 (+.f64 2 (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)) (/.f64 b (cbrt.f64 (+.f64 2 (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (cbrt.f64 (+.f64 2 (expm1.f64 a)))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (-.f64 2 (expm1.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (*.f64 b (-.f64 2 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (*.f64 b (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -2 (expm1.f64 a))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 2 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 2 (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 2 (expm1.f64 a)))) (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 2 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 2 (expm1.f64 a)))) (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 2 (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 2 (expm1.f64 a)))) (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 2 (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)) (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 b 1) 1) (/.f64 1 (+.f64 2 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (+.f64 2 (expm1.f64 a))) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (neg.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)))) (neg.f64 (-.f64 2 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 -8 (neg.f64 (pow.f64 (expm1.f64 a) 3)))) (+.f64 -4 (neg.f64 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (-.f64 (pow.f64 (expm1.f64 a) 2) 4)) (+.f64 (exp.f64 a) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (+.f64 2 (expm1.f64 a)) (pow.f64 (cbrt.f64 b) 2))) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 b) (neg.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)))) (-.f64 2 (expm1.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 b) (+.f64 -8 (neg.f64 (pow.f64 (expm1.f64 a) 3)))) (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 b 1) (neg.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)))) (neg.f64 (-.f64 2 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 b 1) (+.f64 -8 (neg.f64 (pow.f64 (expm1.f64 a) 3)))) (+.f64 -4 (neg.f64 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 b 1) (-.f64 (pow.f64 (expm1.f64 a) 2) 4)) (+.f64 (exp.f64 a) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 b (sqrt.f64 (+.f64 2 (expm1.f64 a)))) (sqrt.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)))) (sqrt.f64 (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 b (sqrt.f64 (+.f64 2 (expm1.f64 a)))) (sqrt.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)))) (sqrt.f64 (-.f64 2 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 b (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)) (cbrt.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)))) (cbrt.f64 (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 b (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)) (cbrt.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)))) (cbrt.f64 (-.f64 2 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))) (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))) (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (sqrt.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))) (*.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (sqrt.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 2 (expm1.f64 a)) b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (-.f64 -2 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 b) (+.f64 2 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 b (-.f64 -2 (expm1.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 b (/.f64 1 (-.f64 -2 (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 b (-.f64 -2 (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))))))

simplify66.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1468×	`associate-/l*`
1332×	`associate-*r/`
832×	`*-commutative`
812×	`associate-*l/`
628×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	238	3363
1	676	3149
2	2384	3115

Stop Event

1×	node limit

Counts

103 → 125

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (+.f64 2 b))

Compiler

Compiled 11 to 8 computations (27.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite53.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1466×	`add-sqr-sqrt`
1444×	`*-un-lft-identity`
1352×	`add-cube-cbrt`
1340×	`add-cbrt-cube`
1328×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	145	11
2	1765	11

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (log.f64 (cbrt.f64 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 2 b))) (log.f64 (sqrt.f64 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 8 (pow.f64 b 3))) (log.f64 (+.f64 4 (*.f64 b (-.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 4 (*.f64 b b))) (log.f64 (-.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (+.f64 2 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 2 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 2 b))) (sqrt.f64 (log.f64 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 2) (cbrt.f64 (log.f64 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 2 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 2 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 2 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 2 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 2 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 2 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 2 b) 1))))))

simplify47.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1136×	`distribute-lft-in`
1014×	`distribute-rgt-in`
814×	`associate-+r+`
732×	`associate-r`
568×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	105	699
1	251	609
2	827	609
3	3253	609

Stop Event

1×	node limit

Counts

33 → 61

Calls

Call 1

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

localize9.0ms (0.1%)

Compiler: Compiled 16 to 13 computations (18.8% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (+.f64 (exp.f64 a) b))

Compiler

Compiled 15 to 5 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite52.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1682×	`add-sqr-sqrt`
1666×	`*-un-lft-identity`
1550×	`add-cube-cbrt`
1532×	`add-cbrt-cube`
168×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	163	15
2	2070	15

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (+.f64 (exp.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (+.f64 (exp.f64 a) b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 1))))))

simplify62.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1502×	`associate-*r/`
1292×	`associate-*l/`
1136×	`associate-r`
968×	`+-commutative`
850×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	117	1394
1	306	1352
2	1141	1330
3	5148	1318

Stop Event

1×	node limit

Counts

40 → 77

Calls

Call 1

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

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

eval80.0ms (0.5%)

Compiler: Compiled 4880 to 2985 computations (38.8% saved)

prune51.0ms (0.3%)

Pruning

20 alts after pruning (12 fresh and 8 done)

	Pruned	Kept	Total
New	256	7	263
Fresh	0	5	5
Picked	0	1	1
Done	0	7	7
Total	256	20	276

Error

0.6b

Counts

276 → 20

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.3b	(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
✓	31.0b	(+.f64 (*.f64 1/2 b) (log.f64 2))
✓	1.8b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))
	27.4b	(+.f64 (log1p.f64 (exp.f64 a)) (.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))) (cbrt.f64 (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))))))
	27.4b	(+.f64 (log1p.f64 (exp.f64 a)) (.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))))))
	25.8b	(+.f64 (log1p.f64 (exp.f64 a)) (*.f64 b 1/2))
	2.1b	(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))))
	28.5b	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (log.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))))
	61.9b	(+.f64 (log.f64 b) (/.f64 2 b))
▶	2.1b	(log1p.f64 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))
✓	1.0b	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
✓	2.4b	(log1p.f64 (+.f64 (exp.f64 a) b))
	31.1b	(log1p.f64 (+.f64 b 1))
✓	30.0b	(log1p.f64 (exp.f64 b))
✓	30.1b	(log1p.f64 (exp.f64 a))
▶	29.5b	(log.f64 (-.f64 (+.f64 (+.f64 2 b) (exp.f64 a)) 1))
▶	32.0b	(log.f64 (+.f64 b (+.f64 2 a)))
✓	31.1b	(log.f64 (+.f64 2 b))
▶	63.1b	(log.f64 b)
✓	31.5b	(log.f64 2)

Compiler

Compiled 409 to 310 computations (24.2% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))
	0.0b	(.f64 1/2 (.f64 b b))

Compiler

Compiled 43 to 19 computations (55.8% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(log1p.f64 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))
0.0ms	b	@	inf	(log1p.f64 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))
0.0ms	b	@	-inf	(log1p.f64 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))
0.0ms	b	@	0	(log1p.f64 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))
0.0ms	a	@	inf	(log1p.f64 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))

rewrite62.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1154×	`associate-*r/`
1078×	`distribute-lft-in`
868×	`associate-*l/`
374×	`associate-+l+`
270×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	258	29
2	3496	29

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (exp.f64 a) (+.f64 (fma.f64 1/2 (*.f64 b b) b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 1))))))

simplify67.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1404×	`associate-/r*`
1254×	`associate-*r/`
1216×	`associate-r`
1058×	`associate-*l/`
964×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	139	1978
1	384	1960
2	1330	1934
3	5465	1916

Stop Event

1×	node limit

Counts

40 → 79

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

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

localize3.0ms (0%)

Compiler: Compiled 5 to 3 computations (40% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (+.f64 b (+.f64 2 a)))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite58.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

994×	`associate-*r/`
872×	`*-commutative`
762×	`distribute-lft-in`
734×	`distribute-rgt-in`
688×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	196	17
2	2630	17

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

Inputs
(log.f64 (+.f64 b (+.f64 2 a)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 b (+.f64 2 a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 b (+.f64 2 a)))) (log.f64 (sqrt.f64 (+.f64 b (+.f64 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 b (+.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (+.f64 b (+.f64 2 a)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 2 a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 2 a))) 2)) (log.f64 (cbrt.f64 (+.f64 b (+.f64 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 b (+.f64 2 a))))) (log.f64 (sqrt.f64 (+.f64 b (+.f64 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 2 a))) 2))) (log.f64 (cbrt.f64 (+.f64 b (+.f64 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (sqrt.f64 (+.f64 b (+.f64 2 a))))) (*.f64 1 (log.f64 (sqrt.f64 (+.f64 b (+.f64 2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 2 a))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (+.f64 b (+.f64 2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 b (+.f64 2 a)))) 1) (*.f64 (log.f64 (sqrt.f64 (+.f64 b (+.f64 2 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 2 a))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (+.f64 b (+.f64 2 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 2 a) 2))) (log.f64 (-.f64 b (+.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 2 a) 3))) (log.f64 (fma.f64 b b (*.f64 (+.f64 2 a) (+.f64 2 (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 b (+.f64 2 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 2 a) 2)))) (log.f64 (-.f64 b (+.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 2 a) 3)))) (log.f64 (fma.f64 b b (*.f64 (+.f64 2 a) (+.f64 2 (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 b (+.f64 2 a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (+.f64 b (+.f64 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 b (+.f64 2 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 b (+.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 b (+.f64 2 a)))) (sqrt.f64 (log.f64 (+.f64 b (+.f64 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 b (+.f64 2 a)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 b (+.f64 2 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 b (+.f64 2 a)))) 2) (cbrt.f64 (log.f64 (+.f64 b (+.f64 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 b (+.f64 2 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 b (+.f64 2 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 b (+.f64 2 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 b (+.f64 2 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 b (+.f64 2 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 b (+.f64 2 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 b (+.f64 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 b (+.f64 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (+.f64 (+.f64 b a) 1))))))

simplify75.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1516×	`associate-+r-`
1070×	`associate-r`
1000×	`fma-def`
866×	`associate-+r+`
806×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	181	2334
1	475	2100
2	1695	2052
3	7088	2052

Stop Event

1×	node limit

Counts

56 → 123

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
	0.0b	(log.f64 (+.f64 2 b))
✓	0.0b	(/.f64 a (+.f64 2 b))

Compiler

Compiled 27 to 18 computations (33.3% saved)

series6.0ms (0%)

Counts

2 → 27

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	a	@	0	(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
0.0ms	a	@	inf	(/.f64 a (+.f64 2 b))
0.0ms	a	@	0	(/.f64 a (+.f64 2 b))
0.0ms	a	@	-inf	(/.f64 a (+.f64 2 b))
0.0ms	b	@	-inf	(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))

rewrite85.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1388×	`associate-*r/`
1116×	`associate-*l/`
1062×	`*-commutative`
920×	`associate-/r*`
670×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	220	42
2	3046	42

Stop Event

1×	node limit

Counts

2 → 145

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 a (+.f64 2 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (/.f64 1 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (+.f64 2 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 a (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (/.f64 (sqrt.f64 a) (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 a (+.f64 2 b))) (sqrt.f64 (/.f64 a (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 2) (/.f64 (cbrt.f64 a) (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 a (+.f64 2 b))) (pow.f64 (cbrt.f64 (/.f64 a (+.f64 2 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 a (+.f64 2 b))) (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 a (+.f64 2 b))) 2) (cbrt.f64 (/.f64 a (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 2 b) (/.f64 a (-.f64 4 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 b)) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4 (*.f64 b (-.f64 b 2))) (/.f64 a (+.f64 8 (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 a) (/.f64 -1 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) (+.f64 2 b)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) (+.f64 2 b)) (/.f64 (sqrt.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 a) (+.f64 2 b)) (pow.f64 (cbrt.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 a) (+.f64 2 b)) (/.f64 (pow.f64 (cbrt.f64 a) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 2 b))) (/.f64 a (sqrt.f64 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (/.f64 a (cbrt.f64 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a 1) (/.f64 1 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (sqrt.f64 (+.f64 2 b))) (/.f64 1 (sqrt.f64 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (cbrt.f64 (+.f64 2 b))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 4 (*.f64 b b))) (*.f64 a (-.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (*.f64 a (+.f64 4 (*.f64 b (-.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (-.f64 4 (*.f64 b b))) (-.f64 2 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (+.f64 8 (pow.f64 b 3))) (+.f64 4 (*.f64 b (-.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 2 b)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) (cbrt.f64 (+.f64 2 b))) (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 (+.f64 2 b))) (/.f64 (cbrt.f64 a) (sqrt.f64 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 a) (sqrt.f64 (+.f64 2 b))) (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (cbrt.f64 (/.f64 a (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 a 1) 1) (/.f64 1 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (+.f64 2 b)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (neg.f64 (-.f64 4 (*.f64 b b)))) (neg.f64 (-.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (neg.f64 (+.f64 8 (pow.f64 b 3)))) (neg.f64 (+.f64 4 (*.f64 b (-.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (-.f64 (*.f64 b b) 4)) (-.f64 b 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (+.f64 2 b) (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 a) (neg.f64 (-.f64 4 (*.f64 b b)))) (-.f64 2 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 a) (neg.f64 (+.f64 8 (pow.f64 b 3)))) (+.f64 4 (*.f64 b (-.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 a 1) (neg.f64 (-.f64 4 (*.f64 b b)))) (neg.f64 (-.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x 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egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 a (+.f64 2 b)) (log1p.f64 (+.f64 b 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 a (+.f64 2 b)) (log1p.f64 (+.f64 b 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 a (+.f64 2 b)) (log1p.f64 (+.f64 b 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 a (+.f64 2 b)) (log1p.f64 (+.f64 b 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (/.f64 1 (+.f64 2 b)) (log1p.f64 (+.f64 b 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 a (+.f64 2 b)) (log1p.f64 (+.f64 b 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 (+.f64 b 1)) (/.f64 a (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 (+.f64 b 1))) (sqrt.f64 (log1p.f64 (+.f64 b 1))) (/.f64 a (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 a (+.f64 2 b))) (sqrt.f64 (/.f64 a (+.f64 2 b))) (log1p.f64 (+.f64 b 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b 1))) 2) (cbrt.f64 (log1p.f64 (+.f64 b 1))) (/.f64 a (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 a (+.f64 2 b))) 2) (cbrt.f64 (/.f64 a (+.f64 2 b))) (log1p.f64 (+.f64 b 1)))))))

simplify121.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1062×	`+-commutative`
966×	`associate-+r+`
870×	`associate-+l+`
524×	`fma-def`
478×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	475	9726
1	1334	9218
2	5416	9218

Stop Event

1×	node limit

Counts

172 → 279

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 (+.f64 2 b) (exp.f64 a)) 1)
✓	2.6b	(log.f64 (-.f64 (+.f64 (+.f64 2 b) (exp.f64 a)) 1))

Compiler

Compiled 34 to 21 computations (38.2% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite79.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1688×	`associate-*r/`
1568×	`associate-*l/`
376×	`associate-+l+`
314×	`associate-/r*`
312×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	50
1	260	38
2	3478	38

Stop Event

1×	node limit

Counts

2 → 128

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (+.f64 (expm1.f64 a) (+.f64 b 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (+.f64 (expm1.f64 a) (+.f64 b 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 2 (+.f64 b (expm1.f64 a))))) (log.f64 (sqrt.f64 (+.f64 2 (+.f64 b (expm1.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 b (expm1.f64 a)))) 2)) (log.f64 (cbrt.f64 (+.f64 2 (+.f64 b (expm1.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (+.f64 2 (+.f64 b (expm1.f64 a))))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 b (expm1.f64 a)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 2 (+.f64 b (expm1.f64 a)))))) (log.f64 (sqrt.f64 (+.f64 2 (+.f64 b (expm1.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 b (expm1.f64 a)))) 2))) (log.f64 (cbrt.f64 (+.f64 2 (+.f64 b (expm1.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 (+.f64 (+.f64 2 b) (exp.f64 a)) 2) -1)) (log.f64 (+.f64 (exp.f64 a) (+.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 -1 (pow.f64 (+.f64 (+.f64 2 b) (exp.f64 a)) 3))) (log.f64 (+.f64 (exp.f64 a) (+.f64 (+.f64 b 3) (pow.f64 (+.f64 (+.f64 2 b) (exp.f64 a)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (expm1.f64 a) (+.f64 b 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 (+.f64 (+.f64 2 b) (exp.f64 a)) 2) -1))) (log.f64 (+.f64 (exp.f64 a) (+.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (+.f64 -1 (pow.f64 (+.f64 (+.f64 2 b) (exp.f64 a)) 3)))) (log.f64 (+.f64 (exp.f64 a) (+.f64 (+.f64 b 3) (pow.f64 (+.f64 (+.f64 2 b) (exp.f64 a)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (expm1.f64 a) (+.f64 b 1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (+.f64 (expm1.f64 a) (+.f64 b 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (+.f64 (expm1.f64 a) (+.f64 b 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (+.f64 (expm1.f64 a) (+.f64 b 1)))) (sqrt.f64 (log1p.f64 (+.f64 (expm1.f64 a) (+.f64 b 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (+.f64 (expm1.f64 a) (+.f64 b 1)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (expm1.f64 a) (+.f64 b 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (expm1.f64 a) (+.f64 b 1)))) 2) (cbrt.f64 (log1p.f64 (+.f64 (expm1.f64 a) (+.f64 b 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (+.f64 (expm1.f64 a) (+.f64 b 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (expm1.f64 a) (+.f64 b 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (expm1.f64 a) (+.f64 b 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (+.f64 (expm1.f64 a) (+.f64 b 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (expm1.f64 a) (+.f64 b 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (expm1.f64 a) (+.f64 b 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (expm1.f64 a) (+.f64 b 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (+.f64 (expm1.f64 a) (+.f64 b 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 (expm1.f64 a) (+.f64 b 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (+.f64 (expm1.f64 a) (+.f64 b 1)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 b (expm1.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 b (*.f64 (expm1.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 (*.f64 (+.f64 b (exp.f64 a)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (-.f64 (*.f64 (+.f64 b (exp.f64 a)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 b (+.f64 2 (expm1.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 b (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 b (+.f64 2 (*.f64 (expm1.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 b) (expm1.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 b) (*.f64 (expm1.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 a) (+.f64 b 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 2 b) (exp.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (expm1.f64 a) (+.f64 b 1)))))) 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simplify122.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1262×	`associate-/l*`
1006×	`associate-/r*`
948×	`associate-+r+`
842×	`+-commutative`
822×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	380	7388
1	944	7186
2	3472	6988

Stop Event

1×	node limit

Counts

176 → 269

Calls

Call 1

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

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

eval323.0ms (2.1%)

Compiler: Compiled 19532 to 13834 computations (29.2% saved)

prune158.0ms (1%)

Pruning

24 alts after pruning (14 fresh and 10 done)

	Pruned	Kept	Total
New	820	7	827
Fresh	0	7	7
Picked	1	0	1
Done	2	10	12
Total	823	24	847

Error

0.6b

Counts

847 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	62.4b	(/.f64 a (+.f64 b 2))
	31.3b	(/.f64 1 (/.f64 1 (+.f64 (/.f64 a (+.f64 2 b)) (log1p.f64 (+.f64 b 1)))))
	31.7b	(+.f64 (/.f64 a (+.f64 2 b)) (-.f64 (+.f64 1 (log.f64 (+.f64 2 b))) 1))
✓	31.0b	(+.f64 (*.f64 1/2 b) (log.f64 2))
	31.6b	(+.f64 (*.f64 1/2 a) (log.f64 2))
✓	1.8b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))
	27.4b	(+.f64 (log1p.f64 (exp.f64 a)) (.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))) (cbrt.f64 (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))))))
	27.4b	(+.f64 (log1p.f64 (exp.f64 a)) (.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))))))
	25.8b	(+.f64 (log1p.f64 (exp.f64 a)) (*.f64 b 1/2))
	2.1b	(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))))
	28.5b	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (log.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))))
	61.9b	(+.f64 (log.f64 b) (/.f64 2 b))
	32.0b	(log1p.f64 (+.f64 (+.f64 b a) 1))
✓	2.1b	(log1p.f64 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))
✓	1.0b	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
✓	2.4b	(log1p.f64 (+.f64 (exp.f64 a) b))
	31.1b	(log1p.f64 (+.f64 b 1))
	29.5b	(log1p.f64 (+.f64 1 (+.f64 b (expm1.f64 a))))
✓	30.0b	(log1p.f64 (exp.f64 b))
✓	30.1b	(log1p.f64 (exp.f64 a))
✓	31.1b	(log.f64 (+.f64 2 b))
	32.3b	(log.f64 (+.f64 2 a))
✓	63.1b	(log.f64 b)
✓	31.5b	(log.f64 2)

Compiler

Compiled 271 to 209 computations (22.9% saved)

regimes50.0ms (0.3%)

Counts

31 → 1

Calls

Call 1

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

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

Calls

6 calls:

14.0ms	a
14.0ms	b
4.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms	(exp.f64 a)

Results

Error	Segments	Branch
1.0b	1	`a`
1.0b	1	`b`
1.0b	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
1.0b	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
1.0b	1	`(exp.f64 a)`
1.0b	1	`(exp.f64 b)`

Compiler

Compiled 315 to 197 computations (37.5% saved)

regimes66.0ms (0.4%)

Counts

24 → 2

Calls

Call 1

Inputs
(/.f64 a (+.f64 b 2))
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 a))
(log.f64 (+.f64 2 b))
(log1p.f64 (+.f64 b 1))
(log.f64 (+.f64 b (+.f64 2 a)))
(log1p.f64 (+.f64 (+.f64 b a) 1))
(+.f64 (log.f64 b) (/.f64 2 b))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
(+.f64 (/.f64 a (+.f64 2 b)) (-.f64 (+.f64 1 (log.f64 (+.f64 2 b))) 1))
(/.f64 1 (/.f64 1 (+.f64 (/.f64 a (+.f64 2 b)) (log1p.f64 (+.f64 b 1)))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log1p.f64 (+.f64 (exp.f64 a) b))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(log1p.f64 (+.f64 1 (+.f64 b (expm1.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (*.f64 b 1/2))
(log.f64 (-.f64 (+.f64 (+.f64 2 b) (exp.f64 a)) 1))
(log1p.f64 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))
(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
(log1p.f64 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))
(log1p.f64 (exp.f64 b))

Calls

6 calls:

21.0ms	a
20.0ms	b
6.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
0.9b	2	`a`
1.0b	2	`b`
1.0b	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
1.0b	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
1.0b	2	`(exp.f64 a)`
1.0b	2	`(exp.f64 b)`

Compiler

Compiled 191 to 127 computations (33.5% saved)

bsearch2.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
2.0ms	-1.3945777443842792e-108	-6.848880421685675e-112

Results

2.0ms

16×

body

256

valid

Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes50.0ms (0.3%)

Counts

21 → 2

Calls

Call 1

Inputs
(/.f64 a (+.f64 b 2))
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 a))
(log.f64 (+.f64 2 b))
(log1p.f64 (+.f64 b 1))
(log.f64 (+.f64 b (+.f64 2 a)))
(log1p.f64 (+.f64 (+.f64 b a) 1))
(+.f64 (log.f64 b) (/.f64 2 b))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
(+.f64 (/.f64 a (+.f64 2 b)) (-.f64 (+.f64 1 (log.f64 (+.f64 2 b))) 1))
(/.f64 1 (/.f64 1 (+.f64 (/.f64 a (+.f64 2 b)) (log1p.f64 (+.f64 b 1)))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log1p.f64 (+.f64 (exp.f64 a) b))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(log1p.f64 (+.f64 1 (+.f64 b (expm1.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (*.f64 b 1/2))
(log.f64 (-.f64 (+.f64 (+.f64 2 b) (exp.f64 a)) 1))

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

Calls

4 calls:

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

Results

Error	Segments	Branch
1.2b	2	`a`
1.2b	2	`b`
1.2b	2	`(exp.f64 a)`
1.2b	2	`(exp.f64 b)`

Compiler

Compiled 146 to 101 computations (30.8% saved)

bsearch2.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
2.0ms	-1.3945777443842792e-108	-6.848880421685675e-112

Results

2.0ms

16×

body

256

valid

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes42.0ms (0.3%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

4 calls:

16.0ms	b
15.0ms	a
4.0ms	(exp.f64 a)
4.0ms	(exp.f64 b)

Results

Error	Segments	Branch
28.5b	2	`a`
28.4b	2	`b`
28.6b	2	`(exp.f64 a)`
28.5b	2	`(exp.f64 b)`

Compiler

Compiled 111 to 81 computations (27% saved)

bsearch26.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
26.0ms	5.619137661975221e-157	2.6424492449296803e-155

Results

17.0ms	46×	body	1024	valid
7.0ms	66×	body	256	valid

Compiler

Compiled 97 to 80 computations (17.5% saved)

regimes22.0ms (0.1%)

Counts

15 → 1

Calls

Call 1

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

Outputs
(log1p.f64 (exp.f64 a))

Calls

3 calls:

8.0ms	b
7.0ms	a
3.0ms	(exp.f64 a)

Results

Error	Segments	Branch
30.1b	1	`a`
30.1b	1	`b`
30.1b	1	`(exp.f64 a)`

Compiler

Compiled 104 to 76 computations (26.9% saved)

regimes18.0ms (0.1%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	b
7.0ms	a

Results

Error	Segments	Branch
31.0b	1	`a`
31.0b	1	`b`

Compiler

Compiled 97 to 71 computations (26.8% saved)

regimes14.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

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

Outputs
(log1p.f64 (+.f64 b 1))

Calls

2 calls:

7.0ms	b
6.0ms	a

Results

Error	Segments	Branch
31.1b	1	`a`
31.1b	1	`b`

Compiler

Compiled 53 to 37 computations (30.2% saved)

regimes9.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(log.f64 (+.f64 2 b))

Calls

2 calls:

4.0ms	b
4.0ms	a

Results

Error	Segments	Branch
31.1b	1	`a`
31.1b	1	`b`

Compiler

Compiled 25 to 18 computations (28% saved)

regimes9.0ms (0.1%)

Accuracy

Total -32.1b remaining (-102.1%)

Threshold costs -32.1b (-102.1%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(log.f64 2)

Calls

2 calls:

4.0ms	b
4.0ms	a

Results

Error	Segments	Branch
31.5b	1	`a`
31.5b	1	`b`

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	196
1	52	196

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(if (<=.f64 a -5288447750321989/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048) (log1p.f64 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 a -5288447750321989/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048) (log1p.f64 (+.f64 (exp.f64 a) b)) (log1p.f64 (exp.f64 b)))
(if (<=.f64 b 6279873474903045/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464) (log1p.f64 (exp.f64 a)) (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 a))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(log1p.f64 (+.f64 b 1))
(log.f64 (+.f64 2 b))
(log.f64 2)
(/.f64 a (+.f64 b 2))

Outputs
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(if (<=.f64 a -5288447750321989/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048) (log1p.f64 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 a -5288447750321989/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048) (log1p.f64 (+.f64 (exp.f64 a) b)) (log1p.f64 (exp.f64 b)))
(if (<=.f64 b 6279873474903045/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464) (log1p.f64 (exp.f64 a)) (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 a))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 b 1/2) (log.f64 2))
(log1p.f64 (+.f64 b 1))
(log.f64 (+.f64 2 b))
(log.f64 (+.f64 b 2))
(log.f64 2)
(/.f64 a (+.f64 b 2))

Compiler

Compiled 90 to 69 computations (23.3% saved)

soundness223.0ms (1.5%)

Algorithm

3×	egg-herbie

Rules

1444×	`associate-*r/`
1182×	`associate-/l*`
1182×	`associate-/r*`
1090×	`fma-def`
1090×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	200	2618
1	499	2362
2	1982	2350
3	7711	2350
0	139	1540
1	340	1524
2	1422	1506
3	4580	1494
0	200	2618
1	499	2362
2	1982	2350
3	7711	2350

Stop Event

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

Compiler

Compiled 111 to 50 computations (55% saved)

end65.0ms (0.4%)

Compiler: Compiled 112 to 70 computations (37.5% saved)