Details

analyze187.0ms (1.2%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample10.9s (68.1%)

Results

8.5s	7591×	body	8192	exit
1.1s	1977×	body	1024	valid
755.0ms	5129×	body	256	valid
306.0ms	953×	body	512	valid
174.0ms	197×	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)

simplify13.0ms (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

29.2b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.2b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 8 to 6 computations (25% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	2.5b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series64.0ms (0.4%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
21.0ms	a	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
20.0ms	a	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
11.0ms	b	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
11.0ms	b	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	a	@	0	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite70.0ms (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))))))

simplify81.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

74 → 115

Calls

Call 1

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

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

eval35.0ms (0.2%)

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

prune23.0ms (0.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	105	10	115
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	106	10	116

Error

0.4b

Counts

116 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	29.7b	(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1)
▶	30.4b	(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))
	1.1b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
	29.7b	(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
▶	1.0b	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
	30.2b	(log1p.f64 (exp.f64 b))
▶	30.2b	(log1p.f64 (exp.f64 a))
	29.8b	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
▶	29.6b	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
▶	30.2b	(log.f64 (+.f64 1 (exp.f64 b)))

Compiler

Compiled 192 to 146 computations (24% saved)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series27.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite55.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	180	19
2	2264	19

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

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

Outputs

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

simplify53.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1308×	`associate-+r+`
1220×	`associate-+l+`
1194×	`associate-r`
996×	`associate-*r/`
946×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	1256
1	231	1252
2	889	1240
3	4092	1228

Stop Event

1×	node limit

Counts

40 → 46

Calls

Call 1

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

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

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 8 to 4 computations (50% saved)

series38.0ms (0.2%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
23.0ms	a	@	inf	(log1p.f64 (exp.f64 a))
14.0ms	a	@	-inf	(log1p.f64 (exp.f64 a))
0.0ms	a	@	0	(log1p.f64 (exp.f64 a))

rewrite46.0ms (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 a))

Outputs

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

simplify59.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1278×	`associate-r`
1112×	`associate-l`
820×	`associate-+l+`
798×	`associate-+r+`
786×	`log-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	540
1	175	536
2	593	532
3	3656	502
4	6957	502

Stop Event

1×	node limit

Counts

36 → 45

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (exp.f64 b))
✓	0.8b	(log.f64 (+.f64 1 (exp.f64 b)))

Compiler

Compiled 15 to 9 computations (40% saved)

series23.0ms (0.1%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	b	@	inf	(log.f64 (+.f64 1 (exp.f64 b)))
11.0ms	b	@	-inf	(log.f64 (+.f64 1 (exp.f64 b)))
0.0ms	b	@	0	(log.f64 (+.f64 1 (exp.f64 b)))
0.0ms	b	@	0	(+.f64 1 (exp.f64 b))
0.0ms	b	@	inf	(+.f64 1 (exp.f64 b))

rewrite70.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify61.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

62 → 91

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 b (.f64 1/2 (.f64 b b)))
✓	0.0b	(.f64 1/2 (.f64 b b))
✓	0.0b	(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))
✓	1.6b	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))

Compiler

Compiled 58 to 28 computations (51.7% saved)

series64.0ms (0.4%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
44.0ms	a	@	-inf	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
16.0ms	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))))))

rewrite107.0ms (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 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))
(.f64 1/2 (.f64 b b))
(+.f64 b (.f64 1/2 (.f64 b b)))

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

simplify140.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1106×	`associate-+r-`
1018×	`associate--r+`
744×	`associate-+l-`
584×	`fma-def`
532×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	536	11950
1	1437	11330
2	5867	11330

Stop Event

1×	node limit

Counts

248 → 315

Calls

Call 1

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

Outputs
(log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(log.f64 (+.f64 2 (fma.f64 (*.f64 b 1/2) b b)))
(log.f64 (+.f64 2 (fma.f64 b (*.f64 b 1/2) b)))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (log.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))))
(+.f64 (log.f64 (+.f64 2 (fma.f64 (.f64 b 1/2) b b))) (/.f64 a (+.f64 2 (fma.f64 (.f64 b 1/2) b b))))
(+.f64 (log.f64 (+.f64 2 (fma.f64 b (.f64 b 1/2) b))) (/.f64 a (+.f64 2 (fma.f64 b (.f64 b 1/2) b))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))) 2))))) (log.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))))))
(+.f64 (/.f64 a (+.f64 2 (fma.f64 (.f64 b 1/2) b b))) (fma.f64 1/2 (.f64 (.f64 a a) (-.f64 (/.f64 1 (+.f64 2 (fma.f64 (.f64 b 1/2) b b))) (/.f64 1 (pow.f64 (+.f64 2 (fma.f64 (.f64 b 1/2) b b)) 2)))) (log.f64 (+.f64 2 (fma.f64 (.f64 b 1/2) b b)))))
(+.f64 (/.f64 a (+.f64 2 (fma.f64 b (.f64 b 1/2) b))) (fma.f64 1/2 (.f64 a (.f64 a (+.f64 (/.f64 1 (+.f64 2 (fma.f64 b (.f64 b 1/2) b))) (/.f64 -1 (pow.f64 (+.f64 2 (fma.f64 b (.f64 b 1/2) b)) 2))))) (log.f64 (+.f64 2 (fma.f64 b (.f64 b 1/2) b)))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) (-.f64 (+.f64 (/.f64 1 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))) 3)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))) 2)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))) 2))))) (log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))))
(+.f64 (/.f64 a (+.f64 2 (fma.f64 (.f64 b 1/2) b b))) (fma.f64 1/6 (.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 2 (fma.f64 (.f64 b 1/2) b b))) (-.f64 (/.f64 2 (pow.f64 (+.f64 2 (fma.f64 (.f64 b 1/2) b b)) 3)) (/.f64 3 (pow.f64 (+.f64 2 (fma.f64 (.f64 b 1/2) b b)) 2))))) (fma.f64 1/2 (.f64 (.f64 a a) (-.f64 (/.f64 1 (+.f64 2 (fma.f64 (.f64 b 1/2) b b))) (/.f64 1 (pow.f64 (+.f64 2 (fma.f64 (.f64 b 1/2) b b)) 2)))) (log.f64 (+.f64 2 (fma.f64 (.f64 b 1/2) b b))))))
(+.f64 (/.f64 a (+.f64 2 (fma.f64 b (.f64 b 1/2) b))) (fma.f64 1/6 (.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 2 (fma.f64 b (.f64 b 1/2) b))) (+.f64 (/.f64 2 (pow.f64 (+.f64 2 (fma.f64 b (.f64 b 1/2) b)) 3)) (/.f64 -3 (pow.f64 (+.f64 2 (fma.f64 b (.f64 b 1/2) b)) 2))))) (fma.f64 1/2 (.f64 a (.f64 a (+.f64 (/.f64 1 (+.f64 2 (fma.f64 b (.f64 b 1/2) b))) (/.f64 -1 (pow.f64 (+.f64 2 (fma.f64 b (.f64 b 1/2) b)) 2))))) (log.f64 (+.f64 2 (fma.f64 b (.f64 b 1/2) b))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) b)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (.f64 b (.f64 b (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (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 (/.f64 2 b) (fma.f64 1/2 (/.f64 (fma.f64 (+.f64 1 (exp.f64 a)) 4 -4) (*.f64 b b)) (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2))))
(+.f64 (.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 (fma.f64 1/2 (/.f64 (fma.f64 (+.f64 1 (exp.f64 a)) 4 -4) (.f64 b b)) (log.f64 1/2)) (+.f64 (fma.f64 -1/6 (/.f64 (fma.f64 (+.f64 1 (exp.f64 a)) 24 -16) (pow.f64 b 3)) (.f64 -2 (log.f64 (/.f64 -1 b)))) (/.f64 2 b)))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (fma.f64 (*.f64 b 1/2) b b))
(+.f64 2 (fma.f64 b (*.f64 b 1/2) b))
(+.f64 2 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 2 (+.f64 a (fma.f64 (*.f64 b 1/2) b b)))
(+.f64 (fma.f64 b (*.f64 b 1/2) b) (+.f64 2 a))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 b (.f64 1/2 (pow.f64 b 2))))))
(fma.f64 1/2 (.f64 a a) (+.f64 2 (+.f64 a (fma.f64 (.f64 b 1/2) b b))))
(fma.f64 1/2 (.f64 a a) (+.f64 (fma.f64 b (.f64 b 1/2) b) (+.f64 2 a)))
(+.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)))))))
(fma.f64 1/2 (.f64 a a) (+.f64 (+.f64 2 a) (fma.f64 1/6 (pow.f64 a 3) (fma.f64 (.f64 b 1/2) b b))))
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(fma.f64 b (*.f64 b 1/2) b)
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(.f64 b (.f64 b 1/2))
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(*.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))
b
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(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(*.f64 1/2 (pow.f64 b 2))
(.f64 b (.f64 b 1/2))
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(fma.f64 b (*.f64 b 1/2) b)
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(*.f64 1/2 (pow.f64 b 2))
(.f64 b (.f64 b 1/2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
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(fma.f64 b (*.f64 b 1/2) b)
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(+.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 0)
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(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) b)))
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(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) b)))
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(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) b)))
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(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) b)))
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(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) b)))
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(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))) 1)
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
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(-.f64 (log.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 (.f64 b 1/2) b b)) 2))) (log.f64 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 (.f64 b 1/2) b b)))))
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(-.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 b (.f64 b 1/2) b)) 2))) (log1p.f64 (-.f64 (neg.f64 (exp.f64 a)) (fma.f64 b (.f64 b 1/2) b))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))) 1)
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) b)))
(.f64 1 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) b)))
(.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))) 1)
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) b)))
(.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) 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))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
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(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 2) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) b)))
(pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 1)
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) b)))
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 2)
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
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(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) b)))
(pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 3) 1/3)
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) b)))
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(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b))) 2))
(fabs.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) b))))
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(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
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(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) b)))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) b)))
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(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
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(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) b)))
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(-.f64 (+.f64 1 (exp.f64 a)) (-.f64 1 (+.f64 1 (fma.f64 1/2 (*.f64 b b) b))))
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(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) b)) 2) (cbrt.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3))))) (cbrt.f64 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 (pow.f64 b 3) 1/2)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 b 1/2) b b)) 2) (/.f64 (cbrt.f64 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 1/2 (pow.f64 b 3))))) (cbrt.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (*.f64 b b) 3))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 b (.f64 b 1/2) b)) 2) (cbrt.f64 (fma.f64 b b (fma.f64 1/4 (pow.f64 b 4) (*.f64 (pow.f64 b 3) -1/2))))) (cbrt.f64 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 b 3))))
(/.f64 (.f64 (-.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4))) 1) (+.f64 b (.f64 -1/2 (*.f64 b b))))
(/.f64 (-.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4))) (+.f64 b (.f64 (.f64 b b) -1/2)))
(/.f64 (fma.f64 b b (.f64 (pow.f64 b 4) -1/4)) (fma.f64 (.f64 b b) -1/2 b))
(/.f64 (.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3))) 1) (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (*.f64 (pow.f64 b 3) 1/2))))
(/.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 1/2 (pow.f64 b 3)))))
(/.f64 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 b 3)) (fma.f64 b b (fma.f64 1/4 (pow.f64 b 4) (*.f64 (pow.f64 b 3) -1/2))))
(/.f64 (.f64 (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 b b)) 1) (-.f64 (.f64 b (*.f64 b 1/2)) b))
(/.f64 (-.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4))) (+.f64 b (.f64 (.f64 b b) -1/2)))
(/.f64 (fma.f64 b b (.f64 (pow.f64 b 4) -1/4)) (fma.f64 (.f64 b b) -1/2 b))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4)))) 1) (neg.f64 (+.f64 b (.f64 -1/2 (*.f64 b b)))))
(/.f64 (-.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4))) (+.f64 b (.f64 (.f64 b b) -1/2)))
(/.f64 (fma.f64 b b (.f64 (pow.f64 b 4) -1/4)) (fma.f64 (.f64 b b) -1/2 b))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3)))) 1) (neg.f64 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (*.f64 (pow.f64 b 3) 1/2)))))
(/.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 1/2 (pow.f64 b 3)))))
(/.f64 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 b 3)) (fma.f64 b b (fma.f64 1/4 (pow.f64 b 4) (*.f64 (pow.f64 b 3) -1/2))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4)))) (sqrt.f64 (fma.f64 1/2 (.f64 b b) b))) (sqrt.f64 (+.f64 b (.f64 -1/2 (.f64 b b)))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 b 1/2) b b)) (/.f64 (sqrt.f64 (+.f64 b (.f64 (.f64 b b) -1/2))) (sqrt.f64 (-.f64 (.f64 b b) (*.f64 1/4 (pow.f64 b 4))))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 b (.f64 b 1/2) b)) (sqrt.f64 (fma.f64 (.f64 b b) -1/2 b))) (sqrt.f64 (fma.f64 b b (.f64 (pow.f64 b 4) -1/4))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3)))) (sqrt.f64 (fma.f64 1/2 (.f64 b b) b))) (sqrt.f64 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 (pow.f64 b 3) 1/2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3)))) (/.f64 (sqrt.f64 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 1/2 (pow.f64 b 3))))) (sqrt.f64 (fma.f64 (*.f64 b 1/2) b b))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 b (.f64 b 1/2) b)) (sqrt.f64 (fma.f64 b b (fma.f64 1/4 (pow.f64 b 4) (*.f64 (pow.f64 b 3) -1/2))))) (sqrt.f64 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 b 3))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) b)) 2)) (cbrt.f64 (+.f64 b (.f64 -1/2 (.f64 b b)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 b 1/2) b b)) 2) (/.f64 (cbrt.f64 (+.f64 b (.f64 (.f64 b b) -1/2))) (cbrt.f64 (-.f64 (.f64 b b) (*.f64 1/4 (pow.f64 b 4))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 b (.f64 b 1/2) b)) 2) (cbrt.f64 (fma.f64 (.f64 b b) -1/2 b))) (cbrt.f64 (fma.f64 b b (.f64 (pow.f64 b 4) -1/4))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) b)) 2)) (cbrt.f64 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 (pow.f64 b 3) 1/2)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 b 1/2) b b)) 2) (/.f64 (cbrt.f64 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 1/2 (pow.f64 b 3))))) (cbrt.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (*.f64 b b) 3))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 b (.f64 b 1/2) b)) 2) (cbrt.f64 (fma.f64 b b (fma.f64 1/4 (pow.f64 b 4) (*.f64 (pow.f64 b 3) -1/2))))) (cbrt.f64 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 b 3))))
(/.f64 (.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 1/4 (pow.f64 b 4)))) (/.f64 1 (+.f64 b (.f64 -1/2 (.f64 b b))))) (+.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4))))
(/.f64 (.f64 (/.f64 1 (+.f64 b (.f64 (.f64 b b) -1/2))) (-.f64 (pow.f64 b 4) (.f64 1/16 (.f64 (pow.f64 b 4) (pow.f64 b 4))))) (fma.f64 b b (.f64 1/4 (pow.f64 b 4))))
(/.f64 (+.f64 (pow.f64 b 4) (.f64 -1/16 (pow.f64 b 8))) (.f64 (fma.f64 1/4 (pow.f64 b 4) (.f64 b b)) (fma.f64 (.f64 b b) -1/2 b)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 b b) 3) (pow.f64 (.f64 1/4 (pow.f64 b 4)) 3)) (/.f64 1 (+.f64 b (.f64 -1/2 (.f64 b b))))) (+.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 1/4 (pow.f64 b 4))) (.f64 (.f64 b b) (*.f64 1/4 (pow.f64 b 4))))))
(/.f64 (-.f64 (pow.f64 (.f64 b b) 3) (.f64 1/64 (pow.f64 (pow.f64 b 4) 3))) (/.f64 (+.f64 (pow.f64 b 4) (.f64 (.f64 1/4 (pow.f64 b 4)) (fma.f64 b b (.f64 1/4 (pow.f64 b 4))))) (/.f64 1 (+.f64 b (.f64 (*.f64 b b) -1/2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 b 6) (.f64 -1/64 (pow.f64 (.f64 b b) 6))) (fma.f64 (.f64 b b) -1/2 b)) (+.f64 (pow.f64 b 4) (fma.f64 1/16 (pow.f64 b 8) (.f64 1/4 (pow.f64 b 6)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 b b) 3) (.f64 (.f64 1/8 (pow.f64 (.f64 b 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 (pow.f64 b 3) (.f64 1/8 (pow.f64 (*.f64 b b) 3))))
(/.f64 (.f64 (/.f64 1 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 1/2 (pow.f64 b 3))))) (-.f64 (pow.f64 (.f64 b b) 3) (.f64 1/64 (.f64 (pow.f64 (.f64 b b) 3) (pow.f64 (.f64 b b) 3))))) (+.f64 (pow.f64 b 3) (.f64 -1/8 (pow.f64 (.f64 b b) 3))))
(/.f64 (+.f64 (pow.f64 b 6) (.f64 -1/64 (pow.f64 (.f64 b b) 6))) (.f64 (+.f64 (pow.f64 b 3) (.f64 (pow.f64 b 6) -1/8)) (fma.f64 b b (fma.f64 1/4 (pow.f64 b 4) (*.f64 (pow.f64 b 3) -1/2)))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 b 3) 3) (pow.f64 (.f64 1/8 (pow.f64 (.f64 b b) 3)) 3)) (/.f64 1 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 (pow.f64 b 3) 1/2))))) (+.f64 (pow.f64 (.f64 b b) 3) (-.f64 (.f64 (.f64 1/8 (pow.f64 (.f64 b b) 3)) (.f64 1/8 (pow.f64 (.f64 b b) 3))) (.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 b 3) 3) (.f64 1/512 (pow.f64 (pow.f64 (.f64 b b) 3) 3))) (/.f64 (+.f64 (pow.f64 (.f64 b b) 3) (.f64 (.f64 1/8 (pow.f64 (.f64 b b) 3)) (-.f64 (.f64 1/8 (pow.f64 (.f64 b b) 3)) (pow.f64 b 3)))) (/.f64 1 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 1/2 (pow.f64 b 3)))))))
(/.f64 (fma.f64 1/512 (pow.f64 (pow.f64 b 6) 3) (.f64 b (pow.f64 b 8))) (.f64 (fma.f64 (.f64 1/8 (pow.f64 b 6)) (-.f64 (.f64 1/8 (pow.f64 b 6)) (pow.f64 b 3)) (pow.f64 b 6)) (fma.f64 b b (fma.f64 1/4 (pow.f64 b 4) (*.f64 (pow.f64 b 3) -1/2)))))
(pow.f64 (fma.f64 1/2 (*.f64 b b) b) 1)
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2)
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 3)
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3) 1/3)
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 b 1/2) b b) 2))
(fabs.f64 (fma.f64 b (*.f64 b 1/2) b))
(log.f64 (exp.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (*.f64 b b) b))))
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3))
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(exp.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(exp.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 b b) b)) 1))
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(fma.f64 1 b (.f64 b (.f64 b 1/2)))
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(fma.f64 1 (.f64 b (.f64 b 1/2)) b)
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(fma.f64 (*.f64 b b) 1/2 b)
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(fma.f64 (.f64 b (sqrt.f64 1/2)) (.f64 b (sqrt.f64 1/2)) b)
(+.f64 (pow.f64 (*.f64 b (sqrt.f64 1/2)) 2) b)
(+.f64 b (pow.f64 (*.f64 b (sqrt.f64 1/2)) 2))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (.f64 b (.f64 b 1/2)))
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (.f64 b (.f64 b 1/2)))
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(fma.f64 (cbrt.f64 (.f64 1/4 (pow.f64 b 4))) (cbrt.f64 (.f64 b (*.f64 b 1/2))) b)
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1 (exp.f64 b))
✓	0.0b	(/.f64 a (+.f64 1 (exp.f64 b)))
✓	0.7b	(log1p.f64 (exp.f64 b))

Compiler

Compiled 30 to 14 computations (53.3% saved)

series14.0ms (0.1%)

Counts

2 → 16

Calls

9 calls:

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

rewrite69.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

880×	`associate-*r/`
858×	`*-commutative`
760×	`associate-/r*`
616×	`associate-*l/`
610×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	199	26
2	2466	26

Stop Event

1×	node limit

Counts

2 → 113

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 a (-.f64 1 (pow.f64 (exp.f64 b) 2))) 1) (*.f64 (/.f64 a (-.f64 1 (pow.f64 (exp.f64 b) 2))) (neg.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 a (+.f64 1 (pow.f64 (exp.f64 b) 3))) 1) (*.f64 (/.f64 a (+.f64 1 (pow.f64 (exp.f64 b) 3))) (*.f64 (exp.f64 b) (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 a (+.f64 1 (pow.f64 (exp.f64 b) 3))) (*.f64 (exp.f64 b) (expm1.f64 b))) (*.f64 (/.f64 a (+.f64 1 (pow.f64 (exp.f64 b) 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (/.f64 a (-.f64 1 (pow.f64 (exp.f64 b) 2)))) (*.f64 (neg.f64 (exp.f64 b)) (/.f64 a (-.f64 1 (pow.f64 (exp.f64 b) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (/.f64 a (+.f64 1 (pow.f64 (exp.f64 b) 3)))) (*.f64 (*.f64 (exp.f64 b) (expm1.f64 b)) (/.f64 a (+.f64 1 (pow.f64 (exp.f64 b) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (exp.f64 b) 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (+.f64 1 (pow.f64 (exp.f64 b) 3))) (-.f64 (pow.f64 (exp.f64 b) 2) (expm1.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (*.f64 a (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (*.f64 a (-.f64 (pow.f64 (exp.f64 b) 2) (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -1 (exp.f64 b))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (+.f64 (exp.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 (+.f64 (exp.f64 b) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) (cbrt.f64 (+.f64 (exp.f64 b) 1))) (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) 2)))))) (#(struct:change #<rule egg-rr> 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b) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (+.f64 (exp.f64 b) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 a (+.f64 (exp.f64 b) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 a (+.f64 (exp.f64 b) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 a (+.f64 (exp.f64 b) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (exp.f64 b) 1) a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a (-.f64 -1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 a) (+.f64 (exp.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 a (-.f64 -1 (exp.f64 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 a (/.f64 1 (-.f64 -1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 a (-.f64 -1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 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simplify69.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1378×	`associate-/l*`
1148×	`associate-*r/`
1018×	`unswap-sqr`
846×	`*-commutative`
698×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	309	3935
1	776	3543
2	2641	3535

Stop Event

1×	node limit

Counts

129 → 178

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

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

eval264.0ms (1.7%)

Compiler: Compiled 15303 to 9061 computations (40.8% saved)

prune134.0ms (0.8%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	714	10	724
Fresh	2	3	5
Picked	1	0	1
Done	1	3	4
Total	718	16	734

Error

0.4b

Counts

734 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	30.7b	(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
	29.7b	(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))) 1)
	30.7b	(+.f64 (*.f64 1/2 b) (log.f64 2))
▶	31.5b	(+.f64 (*.f64 1/2 a) (log.f64 2))
▶	1.1b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
▶	63.2b	(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))
	31.6b	(*.f64 3 (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1))))
✓	1.0b	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
▶	30.2b	(log1p.f64 (exp.f64 b))
✓	30.2b	(log1p.f64 (exp.f64 a))
	30.7b	(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
	29.8b	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
	30.9b	(log.f64 (+.f64 2 b))
✓	30.2b	(log.f64 (+.f64 1 (exp.f64 b)))
	63.1b	(log.f64 (.f64 b (.f64 b 1/2)))
▶	31.3b	(log.f64 2)

Compiler

Compiled 248 to 204 computations (17.7% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 30 to 14 computations (53.3% saved)

series8.0ms (0%)

Counts

3 → 32

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	b	@	0	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
2.0ms	a	@	inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
1.0ms	a	@	-inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
0.0ms	a	@	0	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
0.0ms	b	@	-inf	(/.f64 b (+.f64 1 (exp.f64 a)))

rewrite96.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 218

Calls

Call 1

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

Outputs

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

simplify145.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1296×	`associate-+r+`
1052×	`+-commutative`
646×	`associate-r`
582×	`associate-/l*`
516×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	591	12310
1	1610	11712
2	7149	11562

Stop Event

1×	node limit

Counts

250 → 348

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize9.0ms (0.1%)

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 8 to 4 computations (50% saved)

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))

Compiler

Compiled 30 to 25 computations (16.7% saved)

series37.0ms (0.2%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
21.0ms	b	@	0	(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))
10.0ms	b	@	-inf	(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))
6.0ms	b	@	inf	(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))

rewrite82.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

974×	`*-commutative`
708×	`unswap-sqr`
694×	`associate-*r/`
564×	`swap-sqr`
544×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	247	23
2	2938	23

Stop Event

1×	node limit

Counts

1 → 82

Calls

Call 1

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

Outputs

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simplify85.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1620×	`distribute-lft-in`
1412×	`associate-/r*`
1028×	`associate-*r/`
818×	`associate-*l/`
416×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	262	7254
1	740	6716
2	2969	6396

Stop Event

1×	node limit

Counts

90 → 143

Calls

Call 1

Inputs
(+.f64 (log.f64 1/2) (.f64 -2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 b)))))
(+.f64 (log.f64 1/2) (.f64 -2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 b)))))
(+.f64 (log.f64 1/2) (.f64 -2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 b)))))
(+.f64 (log.f64 1/2) (.f64 -2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 b)))))
(+.f64 (*.f64 -2 (+.f64 (log.f64 (/.f64 1 b)) (log.f64 -1))) (log.f64 1/2))
(+.f64 (*.f64 -2 (+.f64 (log.f64 (/.f64 1 b)) (log.f64 -1))) (log.f64 1/2))
(+.f64 (*.f64 -2 (+.f64 (log.f64 (/.f64 1 b)) (log.f64 -1))) (log.f64 1/2))
(+.f64 (*.f64 -2 (+.f64 (log.f64 (/.f64 1 b)) (log.f64 -1))) (log.f64 1/2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -2 (log.f64 (/.f64 -1 b))))) (-.f64 1 (log1p.f64 -1/2)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 -1/2))) (-.f64 1 (*.f64 -2 (log.f64 (/.f64 -1 b)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 -1/2) 2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))) (/.f64 (*.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))))
(-.f64 (+.f64 (log1p.f64 -1/2) (exp.f64 (log1p.f64 (*.f64 -2 (log.f64 (/.f64 -1 b)))))) 1)
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 b))) (exp.f64 (log1p.f64 (log1p.f64 -1/2)))) 1)
(*.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2)) 1)
(*.f64 1 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2)))
(*.f64 (sqrt.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))) (sqrt.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))))
(*.f64 (cbrt.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))) (pow.f64 (cbrt.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))) 2) (cbrt.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))))
(.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (.f64 (pow.f64 (log.f64 (/.f64 -1 b)) 2) -4)) (/.f64 1 (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))))
(.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 3) (.f64 -8 (pow.f64 (log.f64 (/.f64 -1 b)) 3))) (/.f64 1 (+.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (.f64 (log1p.f64 -1/2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))))))
(.f64 (/.f64 1 (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))) (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (.f64 (pow.f64 (log.f64 (/.f64 -1 b)) 2) -4)))
(.f64 (/.f64 1 (+.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (.f64 (log1p.f64 -1/2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))))) (+.f64 (pow.f64 (log1p.f64 -1/2) 3) (.f64 -8 (pow.f64 (log.f64 (/.f64 -1 b)) 3))))
(.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (.f64 (pow.f64 (log.f64 (/.f64 -1 b)) 2) -4)) (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (*.f64 (pow.f64 (log.f64 (/.f64 -1 b)) 2) -4))) (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2)))
(.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (.f64 (pow.f64 (log.f64 (/.f64 -1 b)) 2) -4)) (+.f64 (pow.f64 (log1p.f64 -1/2) 3) (.f64 8 (pow.f64 (log.f64 (/.f64 -1 b)) 3)))) (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (.f64 (*.f64 -2 (log.f64 (/.f64 -1 b))) (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2)))))
(.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 3) (.f64 -8 (pow.f64 (log.f64 (/.f64 -1 b)) 3))) (-.f64 (.f64 (log1p.f64 -1/2) (pow.f64 (log1p.f64 -1/2) 3)) (.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (.f64 (-.f64 (.f64 -2 (log.f64 (/.f64 -1 b))) (log1p.f64 -1/2)) (-.f64 (.f64 -2 (log.f64 (/.f64 -1 b))) (log1p.f64 -1/2)))))) (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (.f64 (.f64 (log.f64 (/.f64 -1 b)) 2) (-.f64 (*.f64 -2 (log.f64 (/.f64 -1 b))) (log1p.f64 -1/2)))))
(.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 3) (.f64 -8 (pow.f64 (log.f64 (/.f64 -1 b)) 3))) (+.f64 (pow.f64 (pow.f64 (log1p.f64 -1/2) 2) 3) (pow.f64 (.f64 (.f64 -2 (log.f64 (/.f64 -1 b))) (-.f64 (.f64 -2 (log.f64 (/.f64 -1 b))) (log1p.f64 -1/2))) 3))) (+.f64 (.f64 (log1p.f64 -1/2) (pow.f64 (log1p.f64 -1/2) 3)) (.f64 (.f64 (.f64 -2 (log.f64 (/.f64 -1 b))) (-.f64 (.f64 -2 (log.f64 (/.f64 -1 b))) (log1p.f64 -1/2))) (-.f64 (.f64 (.f64 -2 (log.f64 (/.f64 -1 b))) (-.f64 (*.f64 -2 (log.f64 (/.f64 -1 b))) (log1p.f64 -1/2))) (pow.f64 (log1p.f64 -1/2) 2)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2)))) (cbrt.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2)))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2)))) (cbrt.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))) 2))))
(.f64 (.f64 (cbrt.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))) (sqrt.f64 (cbrt.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))))) (*.f64 (cbrt.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))) (sqrt.f64 (cbrt.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))))))
(/.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2)) (/.f64 (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))))
(/.f64 1 (/.f64 1 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (*.f64 (pow.f64 (log.f64 (/.f64 -1 b)) 2) -4)) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 3) (.f64 -8 (pow.f64 (log.f64 (/.f64 -1 b)) 3))) (+.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (*.f64 (log1p.f64 -1/2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))))))
(/.f64 (+.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (.f64 (log1p.f64 -1/2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))))) (/.f64 (+.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (.f64 (log1p.f64 -1/2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))))) (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 3) (.f64 -8 (pow.f64 (log.f64 (/.f64 -1 b)) 3)))) (/.f64 (+.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (.f64 (log1p.f64 -1/2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 3) (.f64 -8 (pow.f64 (log.f64 (/.f64 -1 b)) 3))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (.f64 (pow.f64 (log.f64 (/.f64 -1 b)) 2) -4))) (/.f64 (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (.f64 (pow.f64 (log.f64 (/.f64 -1 b)) 2) -4)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 3) (.f64 -8 (pow.f64 (log.f64 (/.f64 -1 b)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 3) (.f64 -8 (pow.f64 (log.f64 (/.f64 -1 b)) 3))))) (/.f64 (+.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (.f64 (log1p.f64 -1/2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 3) (.f64 -8 (pow.f64 (log.f64 (/.f64 -1 b)) 3))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (.f64 (pow.f64 (log.f64 (/.f64 -1 b)) 2) -4))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (.f64 (pow.f64 (log.f64 (/.f64 -1 b)) 2) -4)))) (/.f64 (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (.f64 (pow.f64 (log.f64 (/.f64 -1 b)) 2) -4)))))
(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 -1/2) 3) (pow.f64 (log1p.f64 -1/2) 3)) (.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 b)) 3) (pow.f64 (log.f64 (/.f64 -1 b)) 3)) 64)) (.f64 (+.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (.f64 (log1p.f64 -1/2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))))) (+.f64 (pow.f64 (log1p.f64 -1/2) 3) (*.f64 8 (pow.f64 (log.f64 (/.f64 -1 b)) 3)))))
(/.f64 (-.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (pow.f64 (log1p.f64 -1/2) 2)) (-.f64 (.f64 -2 (log.f64 (/.f64 -1 b))) (log1p.f64 -1/2)))
(/.f64 (-.f64 (.f64 (log1p.f64 -1/2) (pow.f64 (log1p.f64 -1/2) 3)) (.f64 16 (.f64 (log.f64 (/.f64 -1 b)) (pow.f64 (log.f64 (/.f64 -1 b)) 3)))) (.f64 (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))) (+.f64 (*.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (pow.f64 (log1p.f64 -1/2) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (log1p.f64 -1/2) 3) 3) (pow.f64 (.f64 -8 (pow.f64 (log.f64 (/.f64 -1 b)) 3)) 3)) (.f64 (+.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (.f64 (log1p.f64 -1/2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))))) (+.f64 (.f64 (pow.f64 (log1p.f64 -1/2) 3) (pow.f64 (log1p.f64 -1/2) 3)) (.f64 (.f64 -8 (pow.f64 (log.f64 (/.f64 -1 b)) 3)) (-.f64 (.f64 -8 (pow.f64 (log.f64 (/.f64 -1 b)) 3)) (pow.f64 (log1p.f64 -1/2) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 -1/2) 2) 3) (pow.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) 3)) (.f64 (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))) (+.f64 (.f64 (log1p.f64 -1/2) (pow.f64 (log1p.f64 -1/2) 3)) (.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (+.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (pow.f64 (log1p.f64 -1/2) 2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (*.f64 (pow.f64 (log.f64 (/.f64 -1 b)) 2) -4))) (neg.f64 (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 3) (.f64 -8 (pow.f64 (log.f64 (/.f64 -1 b)) 3)))) (neg.f64 (+.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (*.f64 (log1p.f64 -1/2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 3) (.f64 -8 (pow.f64 (log.f64 (/.f64 -1 b)) 3))))) (sqrt.f64 (+.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (.f64 (log1p.f64 -1/2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (.f64 (pow.f64 (log.f64 (/.f64 -1 b)) 2) -4)))) (sqrt.f64 (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))) 2) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 3) (.f64 -8 (pow.f64 (log.f64 (/.f64 -1 b)) 3))))) (cbrt.f64 (+.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (.f64 (log1p.f64 -1/2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))) 2) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (.f64 (pow.f64 (log.f64 (/.f64 -1 b)) 2) -4)))) (cbrt.f64 (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))))
(/.f64 (.f64 (-.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (pow.f64 (log1p.f64 -1/2) 2)) 1) (-.f64 (*.f64 -2 (log.f64 (/.f64 -1 b))) (log1p.f64 -1/2)))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (.f64 (pow.f64 (log.f64 (/.f64 -1 b)) 2) -4))) 1) (neg.f64 (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 3) (.f64 -8 (pow.f64 (log.f64 (/.f64 -1 b)) 3)))) 1) (neg.f64 (+.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (.f64 (log1p.f64 -1/2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 3) (.f64 -8 (pow.f64 (log.f64 (/.f64 -1 b)) 3)))) (sqrt.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2)))) (sqrt.f64 (+.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (.f64 (log1p.f64 -1/2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (.f64 (pow.f64 (log.f64 (/.f64 -1 b)) 2) -4))) (sqrt.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2)))) (sqrt.f64 (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 3) (.f64 -8 (pow.f64 (log.f64 (/.f64 -1 b)) 3)))) (pow.f64 (cbrt.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))) 2)) (cbrt.f64 (+.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (.f64 (log1p.f64 -1/2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (.f64 (pow.f64 (log.f64 (/.f64 -1 b)) 2) -4))) (pow.f64 (cbrt.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))) 2)) (cbrt.f64 (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))))
(/.f64 (.f64 (-.f64 (.f64 (log1p.f64 -1/2) (pow.f64 (log1p.f64 -1/2) 3)) (.f64 16 (.f64 (log.f64 (/.f64 -1 b)) (pow.f64 (log.f64 (/.f64 -1 b)) 3)))) (/.f64 1 (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))))) (+.f64 (*.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (pow.f64 (log1p.f64 -1/2) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 -1/2) 2) 3) (pow.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) 3)) (/.f64 1 (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))))) (+.f64 (.f64 (log1p.f64 -1/2) (pow.f64 (log1p.f64 -1/2) 3)) (.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (+.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (pow.f64 (log1p.f64 -1/2) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 -1/2) 3) (pow.f64 (log1p.f64 -1/2) 3)) (.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 b)) 3) (pow.f64 (log.f64 (/.f64 -1 b)) 3)) 64)) (/.f64 1 (+.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (.f64 (log1p.f64 -1/2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))))))) (+.f64 (pow.f64 (log1p.f64 -1/2) 3) (*.f64 8 (pow.f64 (log.f64 (/.f64 -1 b)) 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (log1p.f64 -1/2) 3) 3) (pow.f64 (.f64 -8 (pow.f64 (log.f64 (/.f64 -1 b)) 3)) 3)) (/.f64 1 (+.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (.f64 (log1p.f64 -1/2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))))))) (+.f64 (.f64 (pow.f64 (log1p.f64 -1/2) 3) (pow.f64 (log1p.f64 -1/2) 3)) (.f64 (.f64 -8 (pow.f64 (log.f64 (/.f64 -1 b)) 3)) (-.f64 (.f64 -8 (pow.f64 (log.f64 (/.f64 -1 b)) 3)) (pow.f64 (log1p.f64 -1/2) 3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (*.f64 (pow.f64 (log.f64 (/.f64 -1 b)) 2) -4)) 1) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (*.f64 (pow.f64 (log.f64 (/.f64 -1 b)) 2) -4)) (sqrt.f64 (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))))) (sqrt.f64 (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (.f64 (pow.f64 (log.f64 (/.f64 -1 b)) 2) -4)) (.f64 (cbrt.f64 (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))) (cbrt.f64 (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))))) (cbrt.f64 (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (.f64 (pow.f64 (log.f64 (/.f64 -1 b)) 2) -4)) (+.f64 (sqrt.f64 (.f64 -2 (log.f64 (/.f64 -1 b)))) (sqrt.f64 (log1p.f64 -1/2)))) (-.f64 (sqrt.f64 (log1p.f64 -1/2)) (sqrt.f64 (*.f64 -2 (log.f64 (/.f64 -1 b))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 3) (.f64 -8 (pow.f64 (log.f64 (/.f64 -1 b)) 3))) 1) (+.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (*.f64 (log1p.f64 -1/2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 3) (.f64 -8 (pow.f64 (log.f64 (/.f64 -1 b)) 3))) (sqrt.f64 (+.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (.f64 (log1p.f64 -1/2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))))))) (sqrt.f64 (+.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (*.f64 (log1p.f64 -1/2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 3) (.f64 -8 (pow.f64 (log.f64 (/.f64 -1 b)) 3))) (.f64 (cbrt.f64 (+.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (.f64 (log1p.f64 -1/2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))))) (cbrt.f64 (+.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (.f64 (log1p.f64 -1/2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))))))) (cbrt.f64 (+.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (.f64 (log1p.f64 -1/2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))))))
(pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2)) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (*.f64 (pow.f64 (log.f64 (/.f64 -1 b)) 2) -4)) (neg.f64 (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 3) (.f64 -8 (pow.f64 (log.f64 (/.f64 -1 b)) 3))) (neg.f64 (+.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (*.f64 (log1p.f64 -1/2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))))))))
(sqrt.f64 (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2)) 2))
(log.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))
(log.f64 (+.f64 1 (-.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 b) -2)) 1)))
(cbrt.f64 (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))))
(exp.f64 (log.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))))
(log1p.f64 (-.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 b) -2)) 1))
(fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))
(fma.f64 (log.f64 (/.f64 -1 b)) -2 (log1p.f64 -1/2))
(fma.f64 1 (log1p.f64 -1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))
(fma.f64 1 (*.f64 -2 (log.f64 (/.f64 -1 b))) (log1p.f64 -1/2))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 (/.f64 -1 b)))) (sqrt.f64 (.f64 -2 (log.f64 (/.f64 -1 b)))) (log1p.f64 -1/2))
(fma.f64 (sqrt.f64 (log1p.f64 -1/2)) (sqrt.f64 (log1p.f64 -1/2)) (*.f64 -2 (log.f64 (/.f64 -1 b))))
(fma.f64 (cbrt.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2))) (cbrt.f64 (.f64 -2 (log.f64 (/.f64 -1 b)))) (log1p.f64 -1/2))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 -1/2)) 2) (cbrt.f64 (log1p.f64 -1/2)) (*.f64 -2 (log.f64 (/.f64 -1 b))))

Outputs
(+.f64 (log.f64 1/2) (.f64 -2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 b)))))
(fma.f64 -2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 b))) (log.f64 1/2))
(fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2))
(+.f64 (log.f64 1/2) (.f64 -2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 b)))))
(fma.f64 -2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 b))) (log.f64 1/2))
(fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2))
(+.f64 (log.f64 1/2) (.f64 -2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 b)))))
(fma.f64 -2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 b))) (log.f64 1/2))
(fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2))
(+.f64 (log.f64 1/2) (.f64 -2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 b)))))
(fma.f64 -2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 b))) (log.f64 1/2))
(fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2))
(+.f64 (*.f64 -2 (+.f64 (log.f64 (/.f64 1 b)) (log.f64 -1))) (log.f64 1/2))
(fma.f64 -2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 b))) (log.f64 1/2))
(fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2))
(+.f64 (*.f64 -2 (+.f64 (log.f64 (/.f64 1 b)) (log.f64 -1))) (log.f64 1/2))
(fma.f64 -2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 b))) (log.f64 1/2))
(fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2))
(+.f64 (*.f64 -2 (+.f64 (log.f64 (/.f64 1 b)) (log.f64 -1))) (log.f64 1/2))
(fma.f64 -2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 b))) (log.f64 1/2))
(fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2))
(+.f64 (*.f64 -2 (+.f64 (log.f64 (/.f64 1 b)) (log.f64 -1))) (log.f64 1/2))
(fma.f64 -2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 b))) (log.f64 1/2))
(fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2)))) 1)
(fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -2 (log.f64 (/.f64 -1 b))))) (-.f64 1 (log1p.f64 -1/2)))
(+.f64 (log1p.f64 -1/2) (expm1.f64 (log1p.f64 (*.f64 -2 (log.f64 (/.f64 -1 b))))))
(+.f64 (log1p.f64 -1/2) (expm1.f64 (log1p.f64 (.f64 2 (log.f64 (.f64 -1 b))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 -1/2))) (-.f64 1 (*.f64 -2 (log.f64 (/.f64 -1 b)))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (log1p.f64 -1/2))) 1) (*.f64 -2 (log.f64 (/.f64 -1 b))))
(fma.f64 -2 (log.f64 (/.f64 -1 b)) (expm1.f64 (log1p.f64 (log1p.f64 -1/2))))
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(/.f64 (fma.f64 -512 (pow.f64 (pow.f64 (log.f64 (/.f64 -1 b)) 3) 3) (pow.f64 (pow.f64 (log1p.f64 -1/2) 3) 3)) (.f64 (fma.f64 (log1p.f64 -1/2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))) (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2))) (fma.f64 (pow.f64 (.f64 2 (log.f64 (.f64 -1 b))) 3) (-.f64 (pow.f64 (.f64 2 (log.f64 (.f64 -1 b))) 3) (pow.f64 (log1p.f64 -1/2) 3)) (pow.f64 (log1p.f64 -1/2) 6))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (*.f64 (pow.f64 (log.f64 (/.f64 -1 b)) 2) -4)) 1) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 -1/2) 2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))) (/.f64 4 (/.f64 (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))) (pow.f64 (log.f64 (/.f64 -1 b)) 2))))
(+.f64 (/.f64 (pow.f64 (log1p.f64 -1/2) 2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))) (/.f64 -4 (/.f64 (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))) (pow.f64 (log.f64 (/.f64 -1 b)) 2))))
(/.f64 (fma.f64 (pow.f64 (log.f64 (/.f64 -1 b)) 2) -4 (pow.f64 (log1p.f64 -1/2) 2)) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (*.f64 (pow.f64 (log.f64 (/.f64 -1 b)) 2) -4)) (sqrt.f64 (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))))) (sqrt.f64 (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 -1/2) 2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))) (/.f64 4 (/.f64 (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))) (pow.f64 (log.f64 (/.f64 -1 b)) 2))))
(+.f64 (/.f64 (pow.f64 (log1p.f64 -1/2) 2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))) (/.f64 -4 (/.f64 (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))) (pow.f64 (log.f64 (/.f64 -1 b)) 2))))
(/.f64 (fma.f64 (pow.f64 (log.f64 (/.f64 -1 b)) 2) -4 (pow.f64 (log1p.f64 -1/2) 2)) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (.f64 (pow.f64 (log.f64 (/.f64 -1 b)) 2) -4)) (.f64 (cbrt.f64 (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))) (cbrt.f64 (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))))) (cbrt.f64 (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 -1/2) 2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))) (/.f64 4 (/.f64 (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))) (pow.f64 (log.f64 (/.f64 -1 b)) 2))))
(+.f64 (/.f64 (pow.f64 (log1p.f64 -1/2) 2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))) (/.f64 -4 (/.f64 (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))) (pow.f64 (log.f64 (/.f64 -1 b)) 2))))
(/.f64 (fma.f64 (pow.f64 (log.f64 (/.f64 -1 b)) 2) -4 (pow.f64 (log1p.f64 -1/2) 2)) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (.f64 (pow.f64 (log.f64 (/.f64 -1 b)) 2) -4)) (+.f64 (sqrt.f64 (.f64 -2 (log.f64 (/.f64 -1 b)))) (sqrt.f64 (log1p.f64 -1/2)))) (-.f64 (sqrt.f64 (log1p.f64 -1/2)) (sqrt.f64 (*.f64 -2 (log.f64 (/.f64 -1 b))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (.f64 (pow.f64 (log.f64 (/.f64 -1 b)) 2) -4)) (.f64 (-.f64 (sqrt.f64 (log1p.f64 -1/2)) (sqrt.f64 (.f64 -2 (log.f64 (/.f64 -1 b))))) (+.f64 (sqrt.f64 (.f64 -2 (log.f64 (/.f64 -1 b)))) (sqrt.f64 (log1p.f64 -1/2)))))
(/.f64 (fma.f64 (pow.f64 (log.f64 (/.f64 -1 b)) 2) -4 (pow.f64 (log1p.f64 -1/2) 2)) (.f64 (+.f64 (sqrt.f64 (.f64 -2 (log.f64 (/.f64 -1 b)))) (sqrt.f64 (log1p.f64 -1/2))) (-.f64 (sqrt.f64 (log1p.f64 -1/2)) (sqrt.f64 (*.f64 -2 (log.f64 (/.f64 -1 b)))))))
(/.f64 (fma.f64 (pow.f64 (log.f64 (/.f64 -1 b)) 2) -4 (pow.f64 (log1p.f64 -1/2) 2)) (.f64 (+.f64 (sqrt.f64 (.f64 2 (log.f64 (.f64 -1 b)))) (sqrt.f64 (log1p.f64 -1/2))) (-.f64 (sqrt.f64 (log1p.f64 -1/2)) (sqrt.f64 (.f64 2 (log.f64 (*.f64 -1 b)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 3) (.f64 -8 (pow.f64 (log.f64 (/.f64 -1 b)) 3))) 1) (+.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (*.f64 (log1p.f64 -1/2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))))))
(.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 3) (.f64 -8 (pow.f64 (log.f64 (/.f64 -1 b)) 3))) (/.f64 1 (fma.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2) (*.f64 (log1p.f64 -1/2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))))))
(/.f64 (fma.f64 -8 (pow.f64 (log.f64 (/.f64 -1 b)) 3) (pow.f64 (log1p.f64 -1/2) 3)) (fma.f64 (log1p.f64 -1/2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))) (*.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 3) (.f64 -8 (pow.f64 (log.f64 (/.f64 -1 b)) 3))) (sqrt.f64 (+.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (.f64 (log1p.f64 -1/2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))))))) (sqrt.f64 (+.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (*.f64 (log1p.f64 -1/2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))))))
(.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 3) (.f64 -8 (pow.f64 (log.f64 (/.f64 -1 b)) 3))) (/.f64 1 (fma.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2) (*.f64 (log1p.f64 -1/2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))))))
(/.f64 (fma.f64 -8 (pow.f64 (log.f64 (/.f64 -1 b)) 3) (pow.f64 (log1p.f64 -1/2) 3)) (fma.f64 (log1p.f64 -1/2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))) (*.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 3) (.f64 -8 (pow.f64 (log.f64 (/.f64 -1 b)) 3))) (.f64 (cbrt.f64 (+.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (.f64 (log1p.f64 -1/2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))))) (cbrt.f64 (+.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (.f64 (log1p.f64 -1/2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))))))) (cbrt.f64 (+.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (.f64 (log1p.f64 -1/2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))))))
(.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 3) (.f64 -8 (pow.f64 (log.f64 (/.f64 -1 b)) 3))) (/.f64 1 (fma.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2) (*.f64 (log1p.f64 -1/2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))))))
(/.f64 (fma.f64 -8 (pow.f64 (log.f64 (/.f64 -1 b)) 3) (pow.f64 (log1p.f64 -1/2) 3)) (fma.f64 (log1p.f64 -1/2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))) (*.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2))))
(pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2)) 1)
(fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))
(pow.f64 (sqrt.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))) 2)
(fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))
(pow.f64 (cbrt.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))) 3)
(fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))
(pow.f64 (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2)) 3) 1/3)
(fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))
(neg.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (*.f64 (pow.f64 (log.f64 (/.f64 -1 b)) 2) -4)) (neg.f64 (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 -1/2) 2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))) (/.f64 4 (/.f64 (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))) (pow.f64 (log.f64 (/.f64 -1 b)) 2))))
(+.f64 (/.f64 (pow.f64 (log1p.f64 -1/2) 2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))) (/.f64 -4 (/.f64 (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))) (pow.f64 (log.f64 (/.f64 -1 b)) 2))))
(/.f64 (fma.f64 (pow.f64 (log.f64 (/.f64 -1 b)) 2) -4 (pow.f64 (log1p.f64 -1/2) 2)) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 3) (.f64 -8 (pow.f64 (log.f64 (/.f64 -1 b)) 3))) (neg.f64 (+.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2)) (*.f64 (log1p.f64 -1/2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))))))))
(.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 3) (.f64 -8 (pow.f64 (log.f64 (/.f64 -1 b)) 3))) (/.f64 1 (fma.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2) (*.f64 (log1p.f64 -1/2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))))))
(/.f64 (fma.f64 -8 (pow.f64 (log.f64 (/.f64 -1 b)) 3) (pow.f64 (log1p.f64 -1/2) 3)) (fma.f64 (log1p.f64 -1/2) (log.f64 (/.f64 1/2 (pow.f64 (/.f64 -1 b) -2))) (*.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2))))
(sqrt.f64 (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2)) 2))
(fabs.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2)))
(log.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 b) -2)))
(fma.f64 -2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 b))) (log.f64 1/2))
(fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2))
(log.f64 (+.f64 1 (-.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 b) -2)) 1)))
(log1p.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 b) -2) -1))
(cbrt.f64 (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2)) 3))
(fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))
(expm1.f64 (log1p.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))))
(fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))
(exp.f64 (log.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))))
(fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))
(log1p.f64 (-.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 b) -2)) 1))
(log1p.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 b) -2) -1))
(fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))
(fma.f64 (log.f64 (/.f64 -1 b)) -2 (log1p.f64 -1/2))
(fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))
(fma.f64 1 (log1p.f64 -1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))
(fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))
(fma.f64 1 (*.f64 -2 (log.f64 (/.f64 -1 b))) (log1p.f64 -1/2))
(fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 (/.f64 -1 b)))) (sqrt.f64 (.f64 -2 (log.f64 (/.f64 -1 b)))) (log1p.f64 -1/2))
(fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))
(fma.f64 (sqrt.f64 (log1p.f64 -1/2)) (sqrt.f64 (log1p.f64 -1/2)) (*.f64 -2 (log.f64 (/.f64 -1 b))))
(fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))
(fma.f64 (cbrt.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2))) (cbrt.f64 (.f64 -2 (log.f64 (/.f64 -1 b)))) (log1p.f64 -1/2))
(fma.f64 (cbrt.f64 (.f64 4 (pow.f64 (log.f64 (/.f64 -1 b)) 2))) (cbrt.f64 (.f64 2 (log.f64 (*.f64 -1 b)))) (log1p.f64 -1/2))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 -1/2)) 2) (cbrt.f64 (log1p.f64 -1/2)) (*.f64 -2 (log.f64 (/.f64 -1 b))))
(fma.f64 -2 (log.f64 (/.f64 -1 b)) (log1p.f64 -1/2))

eval249.0ms (1.6%)

Compiler: Compiled 16021 to 10366 computations (35.3% saved)

prune112.0ms (0.7%)

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	583	7	590
Fresh	3	5	8
Picked	1	0	1
Done	2	5	7
Total	589	17	606

Error

0.4b

Counts

606 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	16.7b	(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))) (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))))
▶	31.9b	(/.f64 b (+.f64 1 (exp.f64 a)))
	1.2b	(/.f64 1 (/.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
▶	30.7b	(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
▶	1.8b	(+.f64 (-.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) 1) (/.f64 b (+.f64 1 (exp.f64 a))))
	30.7b	(+.f64 (*.f64 1/2 b) (log.f64 2))
✓	31.5b	(+.f64 (*.f64 1/2 a) (log.f64 2))
▶	1.1b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))))
	23.4b	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
	31.6b	(*.f64 3 (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1))))
✓	30.2b	(log1p.f64 (exp.f64 b))
✓	30.2b	(log1p.f64 (exp.f64 a))
	30.7b	(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
▶	30.9b	(log.f64 (+.f64 2 b))
✓	30.2b	(log.f64 (+.f64 1 (exp.f64 b)))
✓	31.3b	(log.f64 2)
	21.5b	(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3))

Compiler

Compiled 415 to 297 computations (28.4% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log1p.f64 (exp.f64 a))
✓	0.0b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))))
✓	0.0b	(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)
✓	0.8b	(cbrt.f64 (log1p.f64 (exp.f64 a)))

Compiler

Compiled 71 to 26 computations (63.4% saved)

series52.0ms (0.3%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
19.0ms	a	@	-inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))))
14.0ms	a	@	inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))))
7.0ms	a	@	0	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))))
3.0ms	b	@	inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))))
3.0ms	b	@	0	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))))

rewrite89.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1358×	`associate-*r/`
954×	`associate-*l/`
896×	`associate-/r*`
708×	`associate-/l*`
608×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	65
1	290	63
2	3652	63

Stop Event

1×	node limit

Counts

3 → 133

Calls

Call 1

Inputs

(cbrt.f64 (log1p.f64 (exp.f64 a)))

(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)

(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))))

Outputs

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

simplify163.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1148×	`+-commutative`
1050×	`associate-/l/`
994×	`associate-/r/`
812×	`associate-r`
642×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	516	15223
1	1497	14409
2	6364	14409

Stop Event

1×	node limit

Counts

181 → 229

Calls

Call 1

Inputs
(pow.f64 (log.f64 2) 1/3)
(+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) a)))
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) a)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (.f64 (pow.f64 a 2) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))))))
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) a)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (pow.f64 a 3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (.f64 (pow.f64 a 2) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)))))))))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (pow.f64 (log.f64 2) 2) 1/3)
(+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (.f64 1/3 (.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/9) a)))
(+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) (pow.f64 a 2)) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/9) a))))
(+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) (pow.f64 a 2)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/9) a)) (.f64 (pow.f64 a 3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))))))))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(+.f64 (/.f64 b (pow.f64 2 (pow.f64 1 1/3))) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (/.f64 b (pow.f64 2 (pow.f64 1 1/3))) (.f64 a (-.f64 1/2 (/.f64 (.f64 b (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (.f64 1/6 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)))) (pow.f64 2 (pow.f64 1 1/3)))))))
(+.f64 (log.f64 2) (+.f64 (/.f64 b (pow.f64 2 (pow.f64 1 1/3))) (+.f64 (.f64 a (-.f64 1/2 (/.f64 (.f64 b (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (.f64 1/6 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)))) (pow.f64 2 (pow.f64 1 1/3))))) (.f64 (-.f64 1/8 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (.f64 1/6 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) 2) b) (pow.f64 2 (pow.f64 1 1/3)))) (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (.f64 1/6 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) 2)) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (.f64 1/18 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (.f64 1/2 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/3) (+.f64 (.f64 -1/9 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (.f64 2 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (.f64 1/18 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))))))))) b) (pow.f64 2 (pow.f64 1 1/3))))) (pow.f64 a 2)))))
(+.f64 (log.f64 2) (+.f64 (/.f64 b (pow.f64 2 (pow.f64 1 1/3))) (+.f64 (.f64 a (-.f64 1/2 (/.f64 (.f64 b (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (.f64 1/6 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)))) (pow.f64 2 (pow.f64 1 1/3))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (.f64 1/6 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) 2)) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (.f64 1/18 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (.f64 1/2 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/3) (+.f64 (.f64 -1/9 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (.f64 2 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (.f64 1/18 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))))))))) (.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (.f64 1/6 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) b)) (pow.f64 2 (pow.f64 1 1/3)))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))) (+.f64 (.f64 1/12 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (+.f64 (.f64 -1/9 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (.f64 2 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (.f64 1/18 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)))))))) (+.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (.f64 1/6 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (.f64 1/18 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (.f64 1/2 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/3) (+.f64 (.f64 -1/9 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (.f64 2 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (.f64 1/18 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))))))))) (+.f64 (.f64 1/6 (pow.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (.f64 1/6 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) 3)) (.f64 1/6 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/3) (+.f64 (.f64 -2 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/9) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (.f64 1/18 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)))))) (+.f64 (.f64 2/27 (pow.f64 (.f64 1 (log.f64 2)) 1/3)) (.f64 6 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/9) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))) (.f64 1/162 (pow.f64 (.f64 1 (log.f64 2)) 1/3))))))))))))))) b) (pow.f64 2 (pow.f64 1 1/3))) (.f64 -1 (.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (.f64 1/6 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (.f64 1/6 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) 2)) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/3) (+.f64 (.f64 2 (+.f64 (.f64 1/18 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))) (.f64 -1/9 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9))))) (.f64 1/18 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) b) (pow.f64 2 (pow.f64 1 1/3))) (.f64 -1 (/.f64 (.f64 b (pow.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (.f64 1/6 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) 2)) (pow.f64 2 (pow.f64 1 1/3))))))))))) (.f64 (-.f64 1/8 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (.f64 1/6 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) 2) b) (pow.f64 2 (pow.f64 1 1/3)))) (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (.f64 1/6 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) 2)) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (.f64 1/18 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (.f64 1/2 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/3) (+.f64 (.f64 -1/9 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (.f64 2 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (.f64 1/18 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))))))))) b) (pow.f64 2 (pow.f64 1 1/3))))) (pow.f64 a 2))))))
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(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (/.f64 (+.f64 (exp.f64 a) 1) b))) (.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) 3) (pow.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) 3)) (.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))) (-.f64 (+.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) 3) (pow.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) 3)) (.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) (+.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (+.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (/.f64 (+.f64 (exp.f64 a) 1) b)) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (.f64 1 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) 1) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
(/.f64 (.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) 1) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) 1) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (/.f64 (+.f64 (exp.f64 a) 1) b))) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) 3) (pow.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) 3)) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (+.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (+.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (/.f64 (+.f64 (exp.f64 a) 1) b)) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) 3) (pow.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (-.f64 (+.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) 1) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 1)
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2))
(log.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 b (/.f64 1 (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))

Outputs
(pow.f64 (log.f64 2) 1/3)
(cbrt.f64 (log.f64 2))
(+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) a)))
(+.f64 (.f64 1/6 (.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) a)) (cbrt.f64 (log.f64 2)))
(fma.f64 1/6 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) a) (cbrt.f64 (log.f64 2)))
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) a)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (.f64 (pow.f64 a 2) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))))))
(+.f64 (fma.f64 1/6 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) a) (.f64 1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (.f64 a a)) (+.f64 1/8 (.f64 -1/12 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18))))))) (cbrt.f64 (log.f64 2)))
(+.f64 (fma.f64 1/6 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) a) (cbrt.f64 (log.f64 2))) (.f64 1/3 (.f64 (+.f64 1/8 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (.f64 a a)))))
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(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) 3) (pow.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) 3)) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (+.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (+.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (/.f64 (+.f64 (exp.f64 a) 1) b)) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))))
(/.f64 (/.f64 (-.f64 (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 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 4) (+.f64 (.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (+.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 (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 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 1 (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 (exp.f64 a) 1)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))
(/.f64 (-.f64 (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)) 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 (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 (exp.f64 a) 1)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (-.f64 (+.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))))
(/.f64 (+.f64 (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)) 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)) 6) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 6)) (*.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 (pow.f64 (log1p.f64 (exp.f64 a)) 6) (-.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 6) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3))))) (fma.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) 1) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
(+.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 1)) (log1p.f64 (exp.f64 a)))
(+.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 (exp.f64 a) 1)) 2)) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(+.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 1)) (log1p.f64 (exp.f64 a)))
(+.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 (exp.f64 a) 1)) 2)) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(+.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 1)) (log1p.f64 (exp.f64 a)))
(+.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 (exp.f64 a) 1)) 2)) (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (*.f64 (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (*.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3)) (fma.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3)) (fma.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3)) (fma.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 1)
(+.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)
(+.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)
(+.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3) 1/3)
(+.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2))
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) 2))
(fabs.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(+.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(+.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3))
(+.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(+.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(+.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1))
(+.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(+.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 b (/.f64 1 (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

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))))))

simplify50.0ms (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))

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 17 to 9 computations (47.1% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (log1p.f64 (exp.f64 b)))
	0.7b	(log1p.f64 (exp.f64 b))
✓	1.0b	(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)

Compiler

Compiled 21 to 11 computations (47.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite62.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1756×	`add-sqr-sqrt`
1740×	`*-un-lft-identity`
1626×	`add-cube-cbrt`
1612×	`add-cbrt-cube`
186×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	189	24
2	2455	24

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(+.f64 1 (log1p.f64 (exp.f64 b)))

Outputs

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

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

simplify63.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1196×	`times-frac`
926×	`associate-+r+`
774×	`associate-+l+`
726×	`unswap-sqr`
684×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	178	2480
1	419	2380
2	1948	2368

Stop Event

1×	node limit

Counts

98 → 108

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

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

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log1p.f64 (exp.f64 a))
✓	0.0b	(+.f64 (-.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) 1) (/.f64 b (+.f64 1 (exp.f64 a))))
✓	0.0b	(+.f64 (log1p.f64 (exp.f64 a)) 1)
✓	0.5b	(-.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) 1)

Compiler

Compiled 46 to 24 computations (47.8% saved)

series1.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite110.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1382×	`associate-/r*`
946×	`associate-/l*`
662×	`associate-+l+`
372×	`+-commutative`
322×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	67
1	293	55
2	4378	55

Stop Event

1×	node limit

Counts

3 → 239

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (+.f64 (log1p.f64 (exp.f64 a)) -1) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (+.f64 (log1p.f64 (exp.f64 a)) -1) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log1p.f64 (exp.f64 a)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (log1p.f64 (exp.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (-.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (-.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))))) (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) 2) -1) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) 2) (+.f64 (log1p.f64 (exp.f64 a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1))) (-.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log1p.f64 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) 2)) (*.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) -1)) (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) 2) -1) (+.f64 (log1p.f64 (exp.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (log1p.f64 (exp.f64 a)) 2) (/.f64 (+.f64 (log1p.f64 (exp.f64 a)) 2) (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) 3)) (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) 2) (+.f64 (log1p.f64 (exp.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) 3)) (-.f64 (+.f64 1 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) 2)) (*.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) 2) -1)) (/.f64 (+.f64 (log1p.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) 2) (+.f64 (log1p.f64 (exp.f64 a)) 2)) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) 3))) (/.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) 2)) (*.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) -1)) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) 2) -1)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) 2) -1))) (/.f64 (+.f64 (log1p.f64 (exp.f64 a)) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) 2) (+.f64 (log1p.f64 (exp.f64 a)) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) 3)))) (/.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) 2)) (*.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) -1)) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) 0) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 0 (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (-.f64 0 (*.f64 (log1p.f64 (exp.f64 a)) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) 2) -1)) (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) 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simplify192.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

772×	`associate--r-`
610×	`fma-def`
594×	`associate--l-`
558×	`+-commutative`
536×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	645	13839
1	1621	13397
2	6844	13391

Stop Event

1×	node limit

Counts

287 → 371

Calls

Call 1

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

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

eval574.0ms (3.6%)

Compiler: Compiled 36296 to 22917 computations (36.9% saved)

prune269.0ms (1.7%)

Pruning

21 alts after pruning (14 fresh and 7 done)

	Pruned	Kept	Total
New	1243	8	1251
Fresh	1	6	7
Picked	1	0	1
Done	2	7	9
Total	1247	21	1268

Error

0.4b

Counts

1268 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	60.6b	(/.f64 b (+.f64 2 a))
✓	31.9b	(/.f64 b (+.f64 1 (exp.f64 a)))
	56.5b	(/.f64 b 2)
	1.2b	(/.f64 1 (/.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
	31.2b	(-.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))) 1)
✓	30.7b	(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
	31.3b	(-.f64 (+.f64 1 (log.f64 (+.f64 2 b))) 1)
	30.7b	(+.f64 (*.f64 1/2 b) (log.f64 2))
✓	31.5b	(+.f64 (*.f64 1/2 a) (log.f64 2))
	1.1b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (exp.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 3) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))))
	1.1b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log.f64 2)))))
	23.4b	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
	60.5b	(.f64 b (+.f64 1/2 (.f64 a -1/4)))
	31.6b	(*.f64 3 (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1))))
	30.9b	(log1p.f64 (+.f64 b 1))
✓	30.2b	(log1p.f64 (exp.f64 b))
✓	30.2b	(log1p.f64 (exp.f64 a))
	30.7b	(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
✓	30.2b	(log.f64 (+.f64 1 (exp.f64 b)))
✓	31.3b	(log.f64 2)
	21.5b	(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3))

Compiler

Compiled 211 to 164 computations (22.3% saved)

regimes55.0ms (0.3%)

Counts

36 → 1

Calls

Call 1

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

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

Calls

6 calls:

16.0ms	b
15.0ms	a
4.0ms	(exp.f64 a)
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms	(exp.f64 b)

Results

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

Compiler

Compiled 390 to 229 computations (41.3% saved)

regimes91.0ms (0.6%)

Counts

21 → 2

Calls

Call 1

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

Calls

6 calls:

52.0ms	b
19.0ms	a
4.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
0.8b	2	`a`
17.8b	6	`b`
1.0b	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
1.0b	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
0.8b	2	`(exp.f64 a)`
29.2b	1	`(exp.f64 b)`

Compiler

Compiled 161 to 113 computations (29.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.8828107343800455e-47	0.9999396344529916

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes78.0ms (0.5%)

Counts

20 → 2

Calls

Call 1

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

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

Calls

4 calls:

48.0ms	b
18.0ms	a
5.0ms	(exp.f64 a)
3.0ms	(exp.f64 b)

Results

Error	Segments	Branch
1.1b	2	`a`
17.8b	6	`b`
1.1b	2	`(exp.f64 a)`
29.6b	1	`(exp.f64 b)`

Compiler

Compiled 140 to 100 computations (28.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.62730354342114e-164	2.8828107343800455e-47

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes60.0ms (0.4%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

3 calls:

40.0ms	b
14.0ms	a
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
1.6b	2	`a`
18.2b	6	`b`
1.6b	2	`(exp.f64 a)`

Compiler

Compiled 92 to 69 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.62730354342114e-164	2.8828107343800455e-47

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes52.0ms (0.3%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

3 calls:

33.0ms	b
12.0ms	a
3.0ms	(exp.f64 a)

Results

Error	Segments	Branch
1.7b	2	`a`
18.9b	6	`b`
1.7b	2	`(exp.f64 a)`

Compiler

Compiled 69 to 52 computations (24.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.62730354342114e-164	2.8828107343800455e-47

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes18.0ms (0.1%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	a
5.0ms	b

Results

Error	Segments	Branch
26.3b	2	`a`
30.7b	1	`b`

Compiler

Compiled 51 to 38 computations (25.5% saved)

bsearch20.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	-375.592220870099	-107.1627336030638

Results

17.0ms	67×	body	512	valid
2.0ms	13×	body	256	valid

Compiler

Compiled 88 to 75 computations (14.8% saved)

regimes17.0ms (0.1%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	a
6.0ms	b

Results

Error	Segments	Branch
26.3b	2	`a`
30.9b	1	`b`

Compiler

Compiled 45 to 33 computations (26.7% saved)

bsearch21.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	-375.592220870099	-107.1627336030638

Results

19.0ms	71×	body	512	valid
1.0ms	9×	body	256	valid

Compiler

Compiled 78 to 65 computations (16.7% saved)

regimes13.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	a
4.0ms	b

Results

Error	Segments	Branch
26.3b	2	`a`
30.9b	1	`b`

Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch21.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	-375.592220870099	-107.1627336030638

Results

18.0ms	69×	body	512	valid
1.0ms	11×	body	256	valid

Compiler

Compiled 78 to 65 computations (16.7% saved)

regimes11.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	a
4.0ms	b

Results

Error	Segments	Branch
26.8b	2	`a`
31.3b	1	`b`

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	-375.592220870099	-107.1627336030638

Results

9.0ms	33×	body	512	valid
6.0ms	47×	body	256	valid

Compiler

Compiled 68 to 60 computations (11.8% saved)

regimes8.0ms (0%)

Accuracy

Total -4.5b remaining (-7.9%)

Threshold costs -4.5b (-7.9%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(/.f64 b 2)

Calls

2 calls:

4.0ms	b
3.0ms	a

Results

Error	Segments	Branch
56.5b	1	`a`
56.5b	1	`b`

Compiler

Compiled 23 to 16 computations (30.4% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	328
1	64	328

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(if (<=.f64 (exp.f64 a) 5142201741628769/102844034832575377634685573909834406561420991602098741459288064) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 6483618076376551/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 6483618076376551/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b)))))
(if (<=.f64 (exp.f64 a) 6483618076376551/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -160) (/.f64 b 2) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -175) (/.f64 b 2) (log1p.f64 (+.f64 b 1)))
(if (<=.f64 a -170) (/.f64 b 2) (log.f64 (+.f64 2 b)))
(if (<=.f64 a -130) (/.f64 b 2) (log.f64 2))
(/.f64 b 2)

Outputs
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(if (<=.f64 (exp.f64 a) 5142201741628769/102844034832575377634685573909834406561420991602098741459288064) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 5142201741628769/102844034832575377634685573909834406561420991602098741459288064) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 6483618076376551/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 6483618076376551/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584) (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 6483618076376551/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b)))))
(if (<=.f64 (exp.f64 a) 6483618076376551/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b)))))
(if (<=.f64 (exp.f64 a) 6483618076376551/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 (exp.f64 a) 6483618076376551/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (*.f64 b 1/2) (log.f64 2)))
(if (<=.f64 a -160) (/.f64 b 2) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -160) (/.f64 b 2) (+.f64 (*.f64 b 1/2) (log.f64 2)))
(if (<=.f64 a -175) (/.f64 b 2) (log1p.f64 (+.f64 b 1)))
(if (<=.f64 a -170) (/.f64 b 2) (log.f64 (+.f64 2 b)))
(if (<=.f64 a -170) (/.f64 b 2) (log.f64 (+.f64 b 2)))
(if (<=.f64 a -130) (/.f64 b 2) (log.f64 2))
(/.f64 b 2)

Compiler

Compiled 142 to 104 computations (26.8% saved)

soundness85.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 24 to 15 computations (37.5% saved)

end80.0ms (0.5%)

Compiler: Compiled 162 to 105 computations (35.2% saved)