Details

analyze184.0ms (1.1%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample11.0s (63.7%)

Results

8.6s	7854×	body	8192	exit
1.1s	1923×	body	1024	valid
756.0ms	5107×	body	256	valid
293.0ms	997×	body	512	valid
164.0ms	229×	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)

simplify11.0ms (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

30.5b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.5b	(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))
✓	6.4b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series74.0ms (0.4%)

Counts

2 → 16

Calls

12 calls:

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

rewrite67.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Outputs
((#(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))))))

simplify84.0ms (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))

eval30.0ms (0.2%)

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

prune46.0ms (0.3%)

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
▶	0.9b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
	2.5b	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
▶	32.6b	(log1p.f64 (exp.f64 b))
▶	32.8b	(log1p.f64 (exp.f64 a))
▶	31.5b	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
▶	31.1b	(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)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 30 to 14 computations (53.3% saved)

series42.0ms (0.2%)

Counts

3 → 32

Calls

15 calls:

Time	Variable		Point	Expression
16.0ms	a	@	-inf	(/.f64 b (+.f64 1 (exp.f64 a)))
11.0ms	a	@	-inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
11.0ms	a	@	inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
2.0ms	b	@	0	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
1.0ms	b	@	inf	(/.f64 b (+.f64 1 (exp.f64 a)))

rewrite115.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1562×	`associate-*r/`
1072×	`*-commutative`
996×	`associate-*l/`
920×	`associate-/r*`
674×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	59
1	229	59
2	3055	59

Stop Event

1×	node limit

Counts

3 → 218

Calls

Call 1

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

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

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

simplify190.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1316×	`associate-+r+`
1018×	`+-commutative`
690×	`associate-r`
610×	`associate-/l*`
554×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	587	12058
1	1636	11562
2	7416	11412

Stop Event

1×	node limit

Counts

250 → 336

Calls

Call 1

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

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

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
✓	1.9b	(log1p.f64 (exp.f64 b))

Compiler

Compiled 8 to 4 computations (50% saved)

series25.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
13.0ms	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))))))))

simplify60.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

36 → 43

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 a) (+.f64 1 b))
✓	4.0b	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))

Compiler

Compiled 23 to 13 computations (43.5% saved)

series65.0ms (0.4%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
51.0ms	a	@	inf	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
11.0ms	a	@	-inf	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
1.0ms	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)))

rewrite94.0ms (0.5%)

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

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

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

simplify100.0ms (0.6%)

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

localize18.0ms (0.1%)

Local error

Found 4 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))
✓	0.0b	(+.f64 b (.f64 1/2 (.f64 b b)))
✓	4.0b	(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)

series33.0ms (0.2%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
16.0ms	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))))))

rewrite115.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 176

Calls

Call 1

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

Outputs
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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)))))

simplify174.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1106×	`associate-+r-`
1022×	`associate--r+`
738×	`associate-+l-`
584×	`fma-def`
526×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	536	11950
1	1437	11330
2	5863	11330

Stop Event

1×	node limit

Counts

248 → 309

Calls

Call 1

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

eval388.0ms (2.3%)

Compiler: Compiled 23642 to 13942 computations (41% saved)

prune257.0ms (1.5%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	923	11	934
Fresh	1	0	1
Picked	1	0	1
Done	2	2	4
Total	927	13	940

Error

0.6b

Counts

940 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	2.7b	(pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 3)
	29.2b	(/.f64 b (+.f64 2 (expm1.f64 a)))
▶	1.0b	(/.f64 1 (/.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
▶	32.6b	(+.f64 (*.f64 1/2 b) (log.f64 2))
	1.4b	(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
	26.4b	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
✓	32.6b	(log1p.f64 (exp.f64 b))
✓	32.8b	(log1p.f64 (exp.f64 a))
	34.2b	(log.f64 (+.f64 b (+.f64 2 a)))
▶	32.8b	(log.f64 (+.f64 2 b))
	63.0b	(log.f64 b)
▶	33.2b	(log.f64 2)
▶	17.4b	(exp.f64 (log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))

Compiler

Compiled 230 to 172 computations (25.2% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 b (+.f64 1 (exp.f64 a)))
	0.0b	(+.f64 1 (exp.f64 a))
✓	0.0b	(/.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
✓	0.1b	(/.f64 1 (/.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))

Compiler

Compiled 56 to 28 computations (50% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite88.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1516×	`associate-/r*`
954×	`distribute-lft-in`
914×	`associate-/l*`
790×	`associate-/r/`
318×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	68
1	282	68
2	3554	68

Stop Event

1×	node limit

Counts

2 → 126

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 0) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2))) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) (*.f64 -1 (neg.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (neg.f64 (log1p.f64 (exp.f64 a)))) (*.f64 -1 (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 (log.f64 (-.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (expm1.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a)))) (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) (-.f64 1 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (log.f64 (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (log.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 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simplify144.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1042×	`+-commutative`
982×	`associate-/r/`
844×	`associate-/l/`
558×	`associate-r`
482×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	463	12108
1	1375	11404
2	5736	11388

Stop Event

1×	node limit

Counts

174 → 239

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

localize3.0ms (0%)

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

localize11.0ms (0.1%)

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))

rewrite50.0ms (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))))))

simplify48.0ms (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%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 1/2 b) (log.f64 2))

Compiler

Compiled 16 to 13 computations (18.8% saved)

series3.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

rewrite57.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify55.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

40 → 45

Calls

Call 1

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

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

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 b (+.f64 1 (exp.f64 a)))
	0.0b	(+.f64 1 (exp.f64 a))
✓	0.0b	(log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
✓	1.6b	(exp.f64 (log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))

Compiler

Compiled 53 to 25 computations (52.8% saved)

series30.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
14.0ms	a	@	inf	(log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
13.0ms	a	@	-inf	(log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
1.0ms	a	@	0	(log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
1.0ms	b	@	0	(log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
1.0ms	b	@	inf	(log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))

rewrite90.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1358×	`associate-*r/`
1132×	`*-commutative`
1086×	`associate-*l/`
926×	`associate-/r*`
668×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	66
1	256	66
2	3241	66

Stop Event

1×	node limit

Counts

2 → 115

Calls

Call 1

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

Outputs

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simplify129.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1010×	`associate-/l/`
978×	`+-commutative`
928×	`associate-/r/`
446×	`associate-r`
394×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	433	11159
1	1246	10583
2	5211	10555

Stop Event

1×	node limit

Counts

163 → 235

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

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

eval435.0ms (2.5%)

Compiler: Compiled 27059 to 16576 computations (38.7% saved)

prune194.0ms (1.1%)

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	971	11	982
Fresh	3	3	6
Picked	1	0	1
Done	1	5	6
Total	976	19	995

Error

0.6b

Counts

995 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	33.6b	(pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 3)
▶	29.2b	(/.f64 b (+.f64 2 (expm1.f64 a)))
	32.6b	(/.f64 1 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))))
	43.9b	(/.f64 1 (-.f64 (+.f64 (/.f64 (exp.f64 a) b) (/.f64 1 b)) (/.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))))
	17.4b	(/.f64 1 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))) 1))
	30.3b	(/.f64 1 (log.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))
	17.4b	(/.f64 1 (exp.f64 (neg.f64 (log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))
✓	32.6b	(+.f64 (*.f64 1/2 b) (log.f64 2))
▶	1.4b	(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
▶	56.2b	(*.f64 1/2 b)
	32.8b	(log1p.f64 (+.f64 b 1))
✓	32.6b	(log1p.f64 (exp.f64 b))
✓	32.8b	(log1p.f64 (exp.f64 a))
	34.2b	(log.f64 (+.f64 b (+.f64 2 a)))
✓	32.8b	(log.f64 (+.f64 2 b))
✓	33.2b	(log.f64 2)
▶	32.7b	(expm1.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2))))
▶	47.2b	(exp.f64 (+.f64 (log.f64 b) (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 -1 (/.f64 (+.f64 1 (exp.f64 a)) b)))))
	32.7b	(exp.f64 (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))

Compiler

Compiled 388 to 306 computations (21.1% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
	0.0b	(/.f64 b (+.f64 1 (exp.f64 a)))
	0.0b	(+.f64 1 (exp.f64 a))
✓	0.1b	(expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))

Compiler

Compiled 47 to 25 computations (46.8% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
0.0ms	a	@	-inf	(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
0.0ms	a	@	0	(expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
0.0ms	b	@	0	(expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
0.0ms	a	@	inf	(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))

rewrite96.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1836×	`associate-*r/`
1320×	`associate-*l/`
922×	`associate-/r*`
682×	`associate-/l*`
284×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	267	48
2	3289	48

Stop Event

1×	node limit

Counts

2 → 223

Calls

Call 1

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

Outputs

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

simplify151.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1188×	`associate-/l*`
1104×	`+-commutative`
720×	`associate-r`
574×	`fma-def`
568×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	603	11633
1	1580	11309
2	7986	11309

Stop Event

1×	node limit

Counts

271 → 340

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

localize4.0ms (0%)

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 9 computations (47.1% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite64.0ms (0.4%)

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)))))))))

simplify63.0ms (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)))

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1/2 b (log.f64 2))
✓	0.0b	(log1p.f64 (fma.f64 1/2 b (log.f64 2)))
✓	0.1b	(expm1.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2))))

Compiler

Compiled 25 to 21 computations (16% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	b	@	0	(log1p.f64 (fma.f64 1/2 b (log.f64 2)))
0.0ms	b	@	inf	(log1p.f64 (fma.f64 1/2 b (log.f64 2)))
0.0ms	b	@	-inf	(log1p.f64 (fma.f64 1/2 b (log.f64 2)))
0.0ms	b	@	-inf	(expm1.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2))))
0.0ms	b	@	0	(expm1.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2))))

rewrite61.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1542×	`add-sqr-sqrt`
1520×	`*-un-lft-identity`
1416×	`add-cube-cbrt`
1402×	`add-cbrt-cube`
1384×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	43
1	195	43
2	1931	43

Stop Event

1×	node limit

Counts

3 → 66

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2))))
(log1p.f64 (fma.f64 1/2 b (log.f64 2)))
(fma.f64 1/2 b (log.f64 2))

Outputs

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

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

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

simplify78.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1078×	`associate-+r-`
1060×	`associate-+l-`
1048×	`fma-def`
782×	`distribute-lft-in`
708×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	2558
1	387	2282
2	1667	2232
3	6788	2232

Stop Event

1×	node limit

Counts

102 → 99

Calls

Call 1

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

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

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 1 (exp.f64 a)) b)
✓	0.0b	(+.f64 (log.f64 b) (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 -1 (/.f64 (+.f64 1 (exp.f64 a)) b))))
✓	0.2b	(*.f64 (log1p.f64 (exp.f64 a)) (+.f64 -1 (/.f64 (+.f64 1 (exp.f64 a)) b)))
✓	1.6b	(exp.f64 (+.f64 (log.f64 b) (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 -1 (/.f64 (+.f64 1 (exp.f64 a)) b)))))

Compiler

Compiled 74 to 38 computations (48.6% saved)

series24.0ms (0.1%)

Counts

4 → 76

Calls

24 calls:

Time	Variable		Point	Expression
11.0ms	a	@	inf	(exp.f64 (+.f64 (log.f64 b) (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 -1 (/.f64 (+.f64 1 (exp.f64 a)) b)))))
2.0ms	b	@	-inf	(+.f64 (log.f64 b) (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 -1 (/.f64 (+.f64 1 (exp.f64 a)) b))))
2.0ms	b	@	0	(+.f64 (log.f64 b) (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 -1 (/.f64 (+.f64 1 (exp.f64 a)) b))))
1.0ms	b	@	inf	(+.f64 (log.f64 b) (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 -1 (/.f64 (+.f64 1 (exp.f64 a)) b))))
1.0ms	a	@	0	(exp.f64 (+.f64 (log.f64 b) (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 -1 (/.f64 (+.f64 1 (exp.f64 a)) b)))))

rewrite117.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1240×	`associate-/r*`
840×	`associate-/l*`
464×	`associate-/r/`
392×	`associate-+l+`
340×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	148
1	337	142
2	4494	142

Stop Event

1×	node limit

Counts

4 → 167

Calls

Call 1

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

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

simplify183.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

908×	`associate-r`
778×	`associate-l`
644×	`fma-def`
540×	`*-commutative`
516×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	578	17615
1	1787	15993
2	7960	15993

Stop Event

1×	node limit

Counts

243 → 324

Calls

Call 1

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

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

eval421.0ms (2.4%)

Compiler: Compiled 29496 to 17722 computations (39.9% saved)

prune232.0ms (1.3%)

Pruning

16 alts after pruning (9 fresh and 7 done)

	Pruned	Kept	Total
New	1083	6	1089
Fresh	6	3	9
Picked	1	0	1
Done	2	7	9
Total	1092	16	1108

Error

0.3b

Counts

1108 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	33.6b	(pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 3)
✓	29.2b	(/.f64 b (+.f64 2 (expm1.f64 a)))
	60.7b	(+.f64 (.f64 1/2 b) (.f64 -1/4 (*.f64 a b)))
✓	32.6b	(+.f64 (*.f64 1/2 b) (log.f64 2))
	62.3b	(*.f64 b (pow.f64 2 (+.f64 -1 (/.f64 2 b))))
	60.7b	(.f64 b (+.f64 1/2 (.f64 a -1/4)))
✓	56.2b	(*.f64 1/2 b)
	32.8b	(log1p.f64 (+.f64 b 1))
✓	32.6b	(log1p.f64 (exp.f64 b))
✓	32.8b	(log1p.f64 (exp.f64 a))
	34.2b	(log.f64 (+.f64 b (+.f64 2 a)))
✓	32.8b	(log.f64 (+.f64 2 b))
✓	33.2b	(log.f64 2)
	63.5b	(expm1.f64 (+.f64 (.f64 2 (/.f64 (+.f64 1 (log.f64 2)) b)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 1/2))))
	46.9b	(exp.f64 (+.f64 (log.f64 b) (*.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (+.f64 (exp.f64 a) 1))))
	63.4b	(exp.f64 (+.f64 (log.f64 b) (*.f64 (log.f64 2) (+.f64 (/.f64 2 b) -1))))

Compiler

Compiled 147 to 120 computations (18.4% saved)

regimes56.0ms (0.3%)

Counts

35 → 1

Calls

Call 1

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

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

Calls

6 calls:

16.0ms	a
15.0ms	b
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
4.0ms	(exp.f64 b)

Results

Error	Segments	Branch
0.9b	1	`a`
0.9b	1	`b`
0.9b	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
0.9b	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
0.9b	1	`(exp.f64 a)`
0.9b	1	`(exp.f64 b)`

Compiler

Compiled 365 to 233 computations (36.2% saved)

regimes67.0ms (0.4%)

Counts

19 → 2

Calls

Call 1

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

Outputs
(/.f64 b (+.f64 2 (expm1.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))

Calls

6 calls:

17.0ms	a
17.0ms	b
14.0ms	(exp.f64 a)
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

Error	Segments	Branch
0.8b	2	`a`
1.1b	2	`b`
1.1b	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
1.1b	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
0.8b	2	`(exp.f64 a)`
1.1b	2	`(exp.f64 b)`

Compiler

Compiled 145 to 102 computations (29.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	5.320222938758282e-302

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes107.0ms (0.6%)

Counts

17 → 3

Calls

Call 1

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

Calls

6 calls:

65.0ms	b
15.0ms	a
7.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
6.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms	(exp.f64 b)

Results

Error	Segments	Branch
0.8b	2	`a`
17.0b	9	`b`
0.6b	3	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
0.6b	3	`(+.f64 (exp.f64 a) (exp.f64 b))`
0.8b	2	`(exp.f64 a)`
27.9b	3	`(exp.f64 b)`

Compiler

Compiled 131 to 92 computations (29.8% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.0008618612843634	2.106220200679593
0.0ms	1.4127761021829677	1.9999999999700862

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes91.0ms (0.5%)

Counts

16 → 2

Calls

Call 1

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

Outputs
(/.f64 b (+.f64 2 (expm1.f64 a)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))

Calls

4 calls:

62.0ms	b
15.0ms	a
6.0ms	(exp.f64 b)
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
0.8b	2	`a`
17.0b	9	`b`
0.8b	2	`(exp.f64 a)`
28.0b	3	`(exp.f64 b)`

Compiler

Compiled 110 to 79 computations (28.2% saved)

bsearch21.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	-693.7091828759446	-2.991376020937544e-11

Results

19.0ms

160×

body

256

valid

Compiler

Compiled 263 to 200 computations (24% saved)

regimes88.0ms (0.5%)

Counts

15 → 2

Calls

Call 1

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

Outputs
(/.f64 b (+.f64 2 (expm1.f64 a)))
(log1p.f64 (exp.f64 b))

Calls

4 calls:

60.0ms	b
15.0ms	a
6.0ms	(exp.f64 b)
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
0.9b	2	`a`
17.1b	9	`b`
0.9b	2	`(exp.f64 a)`
28.1b	3	`(exp.f64 b)`

Compiler

Compiled 97 to 71 computations (26.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.320222938758282e-302	0.9999999999700863

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes75.0ms (0.4%)

Counts

13 → 2

Calls

Call 1

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

Outputs
(/.f64 b (+.f64 2 (expm1.f64 a)))
(log.f64 (+.f64 b (+.f64 2 a)))

Calls

3 calls:

55.0ms	b
13.0ms	a
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
0.9b	2	`a`
17.3b	9	`b`
0.9b	2	`(exp.f64 a)`

Compiler

Compiled 83 to 62 computations (25.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.320222938758282e-302	0.9999999999700863

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes17.0ms (0.1%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	a
5.0ms	b

Results

Error	Segments	Branch
27.9b	2	`a`
32.6b	1	`b`

Compiler

Compiled 51 to 37 computations (27.5% saved)

bsearch21.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	-693.7091828759446	-2.991376020937544e-11

Results

19.0ms

160×

body

256

valid

Compiler

Compiled 163 to 130 computations (20.2% saved)

regimes16.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

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

Outputs
(*.f64 1/2 b)
(log1p.f64 (+.f64 b 1))

Calls

2 calls:

10.0ms	a
5.0ms	b

Results

Error	Segments	Branch
28.1b	2	`a`
32.8b	1	`b`

Compiler

Compiled 39 to 28 computations (28.2% saved)

bsearch46.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
46.0ms	-59013.39957396707	-693.7091828759446

Results

29.0ms	51×	body	1024	valid
8.0ms	26×	body	512	valid
4.0ms	31×	body	256	valid
3.0ms	4×	body	2048	valid

Compiler

Compiled 104 to 87 computations (16.3% saved)

regimes14.0ms (0.1%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	a
4.0ms	b

Results

Error	Segments	Branch
28.1b	2	`a`
32.8b	1	`b`

Compiler

Compiled 35 to 25 computations (28.6% saved)

bsearch46.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
46.0ms	-59013.39957396707	-693.7091828759446

Results

27.0ms	48×	body	1024	valid
8.0ms	10×	body	2048	valid
6.0ms	37×	body	256	valid
5.0ms	17×	body	512	valid

Compiler

Compiled 104 to 87 computations (16.3% saved)

regimes14.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	a
5.0ms	b

Results

Error	Segments	Branch
28.5b	2	`a`
33.2b	1	`b`

Compiler

Compiled 31 to 22 computations (29% saved)

bsearch43.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
43.0ms	-59013.39957396707	-693.7091828759446

Results

25.0ms	46×	body	1024	valid
9.0ms	31×	body	512	valid
5.0ms	5×	body	2048	valid
4.0ms	30×	body	256	valid

Compiler

Compiled 90 to 80 computations (11.1% saved)

regimes7.0ms (0%)

Accuracy

Total -4.5b remaining (-8%)

Threshold costs -4.5b (-8%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(*.f64 1/2 b)

Calls

2 calls:

3.0ms	b
3.0ms	a

Results

Error	Segments	Branch
56.2b	1	`a`
56.2b	1	`b`

Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

24×	`+-commutative`
4×	`*-commutative`
2×	`1-exp`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	435
1	85	435

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))
(if (<=.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3/2) (/.f64 b (+.f64 2 (expm1.f64 a))) (if (<=.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 4728779608739021/2251799813685248) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (/.f64 b (+.f64 2 (expm1.f64 a)))))
(if (<=.f64 a -36) (/.f64 b (+.f64 2 (expm1.f64 a))) (log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))))
(if (<=.f64 (exp.f64 a) 4825645764048353/48256457640483526790736996345261885416402018013988046254372920519692978755949818346967788625106125949665803400115206697318508323999832505432847356782135608177546840733663168278805472312472633443174306792848764674320699568611310171751523817932405366025164140823449795139392236379439950593039113881265164914919783530496) (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 4825645764048353/48256457640483526790736996345261885416402018013988046254372920519692978755949818346967788625106125949665803400115206697318508323999832505432847356782135608177546840733663168278805472312472633443174306792848764674320699568611310171751523817932405366025164140823449795139392236379439950593039113881265164914919783530496) (/.f64 b (+.f64 2 (expm1.f64 a))) (log.f64 (+.f64 b (+.f64 2 a))))
(if (<=.f64 a -1) (*.f64 1/2 b) (log.f64 (+.f64 b (+.f64 2 a))))
(if (<=.f64 a -700) (*.f64 1/2 b) (log1p.f64 (+.f64 b 1)))
(if (<=.f64 a -700) (*.f64 1/2 b) (log.f64 (+.f64 2 b)))
(if (<=.f64 a -700) (*.f64 1/2 b) (log.f64 2))
(*.f64 1/2 b)

Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))
(if (<=.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3/2) (/.f64 b (+.f64 2 (expm1.f64 a))) (if (<=.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 4728779608739021/2251799813685248) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (/.f64 b (+.f64 2 (expm1.f64 a)))))
(if (or (<=.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3/2) (not (<=.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 4728779608739021/2251799813685248))) (/.f64 b (+.f64 2 (expm1.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 a -36) (/.f64 b (+.f64 2 (expm1.f64 a))) (log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))))
(if (<=.f64 (exp.f64 a) 4825645764048353/48256457640483526790736996345261885416402018013988046254372920519692978755949818346967788625106125949665803400115206697318508323999832505432847356782135608177546840733663168278805472312472633443174306792848764674320699568611310171751523817932405366025164140823449795139392236379439950593039113881265164914919783530496) (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 4825645764048353/48256457640483526790736996345261885416402018013988046254372920519692978755949818346967788625106125949665803400115206697318508323999832505432847356782135608177546840733663168278805472312472633443174306792848764674320699568611310171751523817932405366025164140823449795139392236379439950593039113881265164914919783530496) (/.f64 b (+.f64 2 (expm1.f64 a))) (log.f64 (+.f64 b (+.f64 2 a))))
(if (<=.f64 (exp.f64 a) 4825645764048353/48256457640483526790736996345261885416402018013988046254372920519692978755949818346967788625106125949665803400115206697318508323999832505432847356782135608177546840733663168278805472312472633443174306792848764674320699568611310171751523817932405366025164140823449795139392236379439950593039113881265164914919783530496) (/.f64 b (+.f64 2 (expm1.f64 a))) (log.f64 (+.f64 b (+.f64 a 2))))
(if (<=.f64 a -1) (*.f64 1/2 b) (log.f64 (+.f64 b (+.f64 2 a))))
(if (<=.f64 a -1) (*.f64 b 1/2) (log.f64 (+.f64 b (+.f64 a 2))))
(if (<=.f64 a -700) (*.f64 1/2 b) (log1p.f64 (+.f64 b 1)))
(if (<=.f64 a -700) (*.f64 b 1/2) (log1p.f64 (+.f64 b 1)))
(if (<=.f64 a -700) (*.f64 1/2 b) (log.f64 (+.f64 2 b)))
(if (<=.f64 a -700) (*.f64 b 1/2) (log.f64 (+.f64 b 2)))
(if (<=.f64 a -700) (*.f64 1/2 b) (log.f64 2))
(if (<=.f64 a -700) (*.f64 b 1/2) (log.f64 2))
(*.f64 1/2 b)
(*.f64 b 1/2)

Compiler

Compiled 179 to 126 computations (29.6% saved)

soundness179.0ms (1%)

Algorithm

2×	egg-herbie

Rules

1316×	`associate-+r+`
1090×	`fma-def`
1018×	`+-commutative`
1004×	`unswap-sqr`
902×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	2618
1	499	2362
2	1982	2350
3	7711	2350
0	587	12058
1	1636	11562
2	7416	11412

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 76 to 48 computations (36.8% saved)

end92.0ms (0.5%)

Compiler: Compiled 221 to 130 computations (41.2% saved)