Details

analyze186.0ms (1%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample11.0s (59.6%)

Results

8.6s	7711×	body	8192	exit
1.2s	2024×	body	1024	valid
760.0ms	4974×	body	256	valid
304.0ms	1033×	body	512	valid
171.0ms	225×	body	2048	valid

Bogosity

preprocess36.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

2×	`swap-a-b`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

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

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

Symmetry

(sort a b)

Compiler

Compiled 10 to 8 computations (20% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	10	19

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

49.45%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	49.45%	(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
✓	0.02%	(+.f64 (exp.f64 a) (exp.f64 b))
✓	6.94%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series91.0ms (0.5%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
42.0ms	a	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
22.0ms	a	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
15.0ms	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)))

rewrite67.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

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

Outputs

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

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

simplify81.0ms (0.4%)

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))

eval34.0ms (0.2%)

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

prune26.0ms (0.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	106	9	115
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	106	10	116

Error

2.54%

Counts

116 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	51.02%	(pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
▶	3.38%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
▶	50.13%	(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
	3.56%	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
	52.45%	(log1p.f64 (exp.f64 b))
▶	52.17%	(log1p.f64 (exp.f64 a))
	51%	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
✓	49.45%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
▶	50.61%	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
▶	52.55%	(log.f64 (+.f64 1 (exp.f64 a)))

Compiler

Compiled 174 to 134 computations (23% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 1 (exp.f64 a))
✓	0.01%	(/.f64 b (+.f64 1 (exp.f64 a)))
✓	0.02%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))

Compiler

Compiled 30 to 14 computations (53.3% saved)

series97.0ms (0.5%)

Counts

3 → 32

Calls

15 calls:

Time	Variable		Point	Expression
49.0ms	a	@	inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
32.0ms	a	@	-inf	(/.f64 b (+.f64 1 (exp.f64 a)))
11.0ms	a	@	-inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
3.0ms	b	@	0	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
1.0ms	a	@	0	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))

rewrite100.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	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
((#(struct:change #<rule egg-rr> (2) ((x -.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))))))) (#(struct:change #<rule egg-rr> (2) ((x -.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))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a)))) (-.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) (-.f64 1 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.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))))))) (#(struct:change #<rule egg-rr> (2) ((x -.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))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))) (#(struct:change #<rule egg-rr> (2) ((x .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)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (+.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (-.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (.f64 (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) (.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)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (+.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) 3) (pow.f64 (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) 3))) (-.f64 (+.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (.f64 (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) (.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)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule 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Outputs

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((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)))))

simplify182.0ms (1%)

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

localize6.0ms (0%)

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

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.01%	(+.f64 1 (exp.f64 a))
✓	0.38%	(log.f64 (+.f64 1 (exp.f64 a)))

Compiler

Compiled 15 to 9 computations (40% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite51.0ms (0.3%)

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	9
1	153	9
2	1770	9

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1286×	`fma-def`
1150×	`distribute-lft-in`
1032×	`*-commutative`
994×	`distribute-rgt-in`
726×	`distribute-lft-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	401
1	162	369
2	568	365
3	2476	353
4	6475	353

Stop Event

1×	node limit

Counts

25 → 41

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(.f64 1/2 (.f64 b b))
✓	0.02%	(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))
✓	0.02%	(+.f64 b (.f64 1/2 (.f64 b b)))
✓	3.55%	(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)

series47.0ms (0.3%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
27.0ms	a	@	-inf	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
15.0ms	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	@	0	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))

rewrite100.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 176

Calls

Call 1

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

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

simplify146.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

248 → 309

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.02%	(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
✓	0.02%	(+.f64 (exp.f64 b) (exp.f64 a))
✓	7.63%	(log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))

Compiler

Compiled 36 to 10 computations (72.2% saved)

series140.0ms (0.8%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
47.0ms	b	@	inf	(log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
40.0ms	a	@	-inf	(log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
37.0ms	b	@	-inf	(log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
12.0ms	a	@	inf	(log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
1.0ms	b	@	0	(log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))

rewrite77.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1960×	`add-sqr-sqrt`
1942×	`*-un-lft-identity`
1804×	`add-cube-cbrt`
1784×	`add-cbrt-cube`
200×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	57
1	196	57
2	2450	57

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

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

Outputs

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

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

simplify82.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1816×	`distribute-lft-in`
1776×	`distribute-rgt-in`
638×	`+-commutative`
490×	`associate-+r+`
392×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	313	5557
1	783	5319
2	3044	5295

Stop Event

1×	node limit

Counts

161 → 175

Calls

Call 1

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

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

eval535.0ms (2.9%)

Compiler: Compiled 24685 to 14324 computations (42% saved)

prune273.0ms (1.5%)

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	975	18	993
Fresh	2	2	4
Picked	1	0	1
Done	2	3	5
Total	980	23	1003

Error

2.54%

Counts

1003 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	6.01%	(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)
	28.41%	(/.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)))))
▶	46.61%	(/.f64 b (+.f64 1 (exp.f64 a)))
	50.74%	(-.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 1)
	53.22%	(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
	52.64%	(+.f64 (*.f64 1/2 b) (log.f64 2))
	54.13%	(+.f64 (*.f64 1/2 a) (log.f64 2))
▶	3.49%	(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -1))
	4.46%	(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 3))
▶	51.42%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 a)))
	51.16%	(+.f64 (log1p.f64 (exp.f64 a)) (.f64 b (+.f64 1/2 (.f64 a -1/4))))
	4.17%	(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
	39.34%	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
	50.13%	(*.f64 2 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 1)))
	53.12%	(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b)))))
	52.45%	(log1p.f64 (exp.f64 b))
✓	52.17%	(log1p.f64 (exp.f64 a))
	51%	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
✓	49.45%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	55.37%	(log.f64 (+.f64 2 a))
✓	50.61%	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
▶	53.63%	(log.f64 2)
▶	4.18%	(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))

Compiler

Compiled 572 to 423 computations (26% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (exp.f64 a) 1)
✓	0.01%	(/.f64 (+.f64 (exp.f64 a) 1) b)
✓	0.02%	(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -1))
✓	0.27%	(pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -1)

Compiler

Compiled 41 to 22 computations (46.3% saved)

series5.0ms (0%)

Counts

4 → 84

Calls

21 calls:

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

rewrite156.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1688×	`associate-*l/`
1214×	`associate-/r*`
794×	`associate-/l*`
524×	`associate-/r/`
306×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	88
1	275	76
2	3537	76

Stop Event

1×	node limit

Counts

4 → 372

Calls

Call 1

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

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

simplify168.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1408×	`associate-r`
1024×	`associate-l`
986×	`associate-/r*`
912×	`*-commutative`
878×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	949	20982
1	2657	20796

Stop Event

1×	node limit

Counts

456 → 626

Calls

Call 1

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

localize3.0ms (0%)

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

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.01%	(+.f64 1 (exp.f64 a))
	0.01%	(/.f64 b (+.f64 1 (exp.f64 a)))

Compiler

Compiled 17 to 9 computations (47.1% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(/.f64 b (+.f64 2 a))
✓	0.03%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 a)))

Compiler

Compiled 27 to 14 computations (48.1% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

12 calls:

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

rewrite117.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1592×	`associate-*r/`
1126×	`*-commutative`
1022×	`associate-*l/`
912×	`associate-/r*`
664×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	240	40
2	3249	40

Stop Event

1×	node limit

Counts

2 → 137

Calls

Call 1

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

Outputs

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

simplify134.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1444×	`associate-/r/`
710×	`+-commutative`
574×	`distribute-lft-neg-in`
542×	`associate-+r+`
542×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	412	8451
1	1137	8067
2	4824	8001

Stop Event

1×	node limit

Counts

173 → 255

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

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

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(/.f64 b (+.f64 (exp.f64 a) 1))
✓	0.02%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
✓	0.02%	(log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
✓	0.14%	(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))

Compiler

Compiled 53 to 25 computations (52.8% saved)

series38.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
18.0ms	a	@	-inf	(log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
16.0ms	a	@	inf	(log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
1.0ms	a	@	0	(log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
1.0ms	b	@	0	(log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
1.0ms	b	@	inf	(log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))

rewrite112.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	114
1	268	114
2	3297	114

Stop Event

1×	node limit

Counts

4 → 238

Calls

Call 1

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

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

simplify208.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1144×	`associate-+r-`
898×	`associate-+l-`
768×	`fma-def`
536×	`associate-r`
482×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	509	20072
1	1415	19182
2	6523	19146

Stop Event

1×	node limit

Counts

334 → 299

Calls

Call 1

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

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

eval518.0ms (2.8%)

Compiler: Compiled 35990 to 20236 computations (43.8% saved)

prune350.0ms (1.9%)

Pruning

31 alts after pruning (25 fresh and 6 done)

	Pruned	Kept	Total
New	1374	16	1390
Fresh	6	9	15
Picked	1	0	1
Done	1	6	7
Total	1382	31	1413

Error

2.54%

Counts

1413 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	52.97%	(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 a 2)))) 3)
	94.54%	(/.f64 b (+.f64 2 a))
✓	46.61%	(/.f64 b (+.f64 1 (exp.f64 a)))
▶	87.54%	(/.f64 b 2)
▶	52.23%	(-.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 a 2))))) 1)
	53.22%	(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
	94.29%	(+.f64 (.f64 1/2 b) (.f64 -1/4 (*.f64 a b)))
▶	52.64%	(+.f64 (*.f64 1/2 b) (log.f64 2))
	54.13%	(+.f64 (*.f64 1/2 a) (log.f64 2))
▶	44.49%	(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 2 b) -1))
	38.68%	(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (exp.f64 a) 1) b))) 1) -1))
	50.53%	(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (log.f64 (exp.f64 (/.f64 (+.f64 (exp.f64 a) 1) b))) -1))
	51.42%	(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 a 2))) 3))
✓	51.42%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 a)))
	51.42%	(+.f64 (log1p.f64 (exp.f64 a)) (*.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (cbrt.f64 b) (+.f64 a 2))))
	51.16%	(+.f64 (log1p.f64 (exp.f64 a)) (.f64 b (+.f64 1/2 (.f64 a -1/4))))
	51.42%	(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 a 2)))))
	39.34%	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
	62.3%	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (log.f64 (/.f64 b (+.f64 a 2)))))
	94.29%	(.f64 b (+.f64 1/2 (.f64 a -1/4)))
	53.12%	(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b)))))
	52.45%	(log1p.f64 (exp.f64 b))
✓	52.17%	(log1p.f64 (exp.f64 a))
	51%	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
✓	49.45%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	55.37%	(log.f64 (+.f64 2 a))
✓	50.61%	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
✓	53.63%	(log.f64 2)
	99.15%	(expm1.f64 (+.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) (*.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) (+.f64 1 (log1p.f64 (exp.f64 a))))))
▶	4.18%	(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))))
	53.43%	(expm1.f64 (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))

Compiler

Compiled 653 to 503 computations (23% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
✓	0.02%	(log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))
✓	0.13%	(expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
✓	0.14%	(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))))

Compiler

Compiled 74 to 40 computations (45.9% saved)

series4.0ms (0%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))
0.0ms	b	@	0	(log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))
0.0ms	b	@	-inf	(log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))
0.0ms	b	@	inf	(log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))
0.0ms	a	@	0	(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))))

rewrite125.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1492×	`associate-*l/`
1008×	`associate-/r*`
852×	`distribute-lft-in`
704×	`associate-/l*`
476×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	114
1	306	114
2	3531	114

Stop Event

1×	node limit

Counts

4 → 345

Calls

Call 1

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

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

simplify194.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1370×	`associate-/l*`
1128×	`associate-r`
892×	`associate-l`
770×	`distribute-lft-in`
712×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	776	28305
1	2227	27989

Stop Event

1×	node limit

Counts

441 → 483

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

localize3.0ms (0%)

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

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.02%	(+.f64 (*.f64 1/2 b) (log.f64 2))

Compiler

Compiled 16 to 13 computations (18.8% saved)

series3.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

rewrite57.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify55.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

40 → 45

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.02%	(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 2 b) -1))
✓	0.27%	(pow.f64 (/.f64 2 b) -1)

Compiler

Compiled 28 to 17 computations (39.3% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 2 b) -1))
0.0ms	b	@	0	(pow.f64 (/.f64 2 b) -1)
0.0ms	b	@	-inf	(pow.f64 (/.f64 2 b) -1)
0.0ms	b	@	inf	(pow.f64 (/.f64 2 b) -1)
0.0ms	a	@	0	(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 2 b) -1))

rewrite83.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1020×	`associate-*r/`
996×	`*-commutative`
648×	`associate-*l/`
574×	`swap-sqr`
524×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	40
1	255	28
2	3103	28

Stop Event

1×	node limit

Counts

2 → 168

Calls

Call 1

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

Outputs

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

simplify109.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1240×	`associate-/r/`
684×	`associate-+r+`
630×	`associate-+l+`
552×	`+-commutative`
478×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	455	7966
1	1155	7558
2	4661	7542

Stop Event

1×	node limit

Counts

204 → 290

Calls

Call 1

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

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

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 a 2))))
✓	0.03%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 a 2)))
✓	0.76%	(exp.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 a 2)))))
✓	1.44%	(-.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 a 2))))) 1)

Compiler

Compiled 62 to 34 computations (45.2% saved)

series28.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
14.0ms	b	@	0	(-.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 a 2))))) 1)
2.0ms	a	@	0	(-.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 a 2))))) 1)
2.0ms	a	@	-inf	(-.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 a 2))))) 1)
2.0ms	a	@	inf	(-.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 a 2))))) 1)
1.0ms	b	@	-inf	(-.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 a 2))))) 1)

rewrite134.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1172×	`associate-/r*`
1148×	`distribute-lft-in`
834×	`associate-/l*`
580×	`associate-/r/`
312×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	120
1	323	118
2	4032	118

Stop Event

1×	node limit

Counts

4 → 284

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 b (+.f64 a 2)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 a 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 b (+.f64 a 2)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 a 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 a 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 a 2)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 b (+.f64 a 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) (+.f64 (/.f64 b (+.f64 a 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) (-.f64 (/.f64 b (+.f64 a 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 b (+.f64 a 2)) 1) (+.f64 (log1p.f64 (exp.f64 a)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 b (+.f64 a 2)) 1) (-.f64 (log1p.f64 (exp.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 a 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (+.f64 (log1p.f64 (exp.f64 a)) 1)) (/.f64 b (+.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (+.f64 (/.f64 b (+.f64 a 2)) 1)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 a 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 a 2)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 a 2)))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 a 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 a 2)))) 2) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 a 2)) 2)) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 b (+.f64 a 2)) 1)) 2) -1) (/.f64 1 (+.f64 2 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 a 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 a 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 a 2)) (-.f64 (/.f64 b (+.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)) (+.f64 (/.f64 b (+.f64 a 2)) 1)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 b (+.f64 a 2)) 1)) 2) (+.f64 2 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 a 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 b (+.f64 a 2)) 1)))) (-.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 b (+.f64 a 2)) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 a 2)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 a 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 2 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 a 2))))) (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 b (+.f64 a 2)) 1)) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 a 2)) (-.f64 (/.f64 b (+.f64 a 2)) (log1p.f64 (exp.f64 a)))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 a 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 b (+.f64 a 2)) 1)) 2) (+.f64 2 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 a 2)))))) (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 b (+.f64 a 2)) 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 b (+.f64 a 2)) 1)) 2) -1) (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 b (+.f64 a 2)) 1)) 2) -1)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 a 2)) 2)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 a 2)) 2))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 a 2)) 2)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 a 2)) 3))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 a 2)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 a 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 b (+.f64 a 2)) 1)) 2) -1) (-.f64 1 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 b (+.f64 a 2)) 1)) 2))) (-.f64 0 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (pow.f64 (+.f64 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simplify251.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1136×	`associate-r`
1084×	`+-commutative`
1050×	`distribute-lft-in`
820×	`associate-l`
742×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	773	37594
1	2490	37344

Stop Event

1×	node limit

Counts

380 → 489

Calls

Call 1

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

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

eval684.0ms (3.7%)

Compiler: Compiled 44799 to 28715 computations (35.9% saved)

prune308.0ms (1.7%)

Pruning

33 alts after pruning (25 fresh and 8 done)

	Pruned	Kept	Total
New	1294	13	1307
Fresh	8	12	20
Picked	1	0	1
Done	2	8	10
Total	1305	33	1338

Error

2.54%

Counts

1338 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	54.16%	(pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 3)
	94.54%	(/.f64 b (+.f64 2 a))
✓	46.61%	(/.f64 b (+.f64 1 (exp.f64 a)))
✓	87.54%	(/.f64 b 2)
	53.29%	(-.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))) 1)
	99.29%	(-.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (log.f64 (/.f64 1 (+.f64 2 a))) (/.f64 (.f64 (+.f64 2 a) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) b)))) 1)
	53.43%	(-.f64 (exp.f64 (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))) 1)
	52.89%	(-.f64 (exp.f64 (exp.f64 (log.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 a 2))))))) 1)
	53.22%	(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
	94.29%	(+.f64 (.f64 1/2 b) (.f64 -1/4 (*.f64 a b)))
✓	52.64%	(+.f64 (*.f64 1/2 b) (log.f64 2))
	53.25%	(+.f64 (.f64 1/2 a) (+.f64 (.f64 1/2 b) (log.f64 2)))
	54.13%	(+.f64 (*.f64 1/2 a) (log.f64 2))
	38.68%	(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (exp.f64 a) 1) b))) 1) -1))
	50.53%	(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (log.f64 (exp.f64 (/.f64 (+.f64 (exp.f64 a) 1) b))) -1))
	44.49%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 2 (cbrt.f64 b))))
✓	51.42%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 a)))
	44.49%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 1 (/.f64 2 b)))
	47.8%	(+.f64 (log1p.f64 (exp.f64 a)) (.f64 (/.f64 1 (cbrt.f64 (/.f64 4 (.f64 b b)))) (/.f64 1 (cbrt.f64 (/.f64 2 b)))))
	51.16%	(+.f64 (log1p.f64 (exp.f64 a)) (.f64 b (+.f64 1/2 (.f64 a -1/4))))
	44.64%	(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (*.f64 b 1/2))))
	58.83%	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (log.f64 (*.f64 b 1/2))))
	52.64%	(.f64 (-.f64 (.f64 1/4 (.f64 b b)) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (.f64 1/2 b) (log.f64 2))))
	94.29%	(.f64 b (+.f64 1/2 (.f64 a -1/4)))
	52.45%	(log1p.f64 (exp.f64 b))
✓	52.17%	(log1p.f64 (exp.f64 a))
	51%	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
✓	49.45%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	55.37%	(log.f64 (+.f64 2 a))
✓	50.61%	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
✓	53.63%	(log.f64 2)
	53.43%	(expm1.f64 (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
	52.65%	(cbrt.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 3))

Compiler

Compiled 391 to 319 computations (18.4% saved)

regimes88.0ms (0.5%)

Counts

57 → 1

Calls

Call 1

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

Calls

6 calls:

26.0ms	a
24.0ms	b
7.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(exp.f64 b)

Results

Error	Segments	Branch
3.38%	1	`a`
3.38%	1	`b`
3.38%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
3.38%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
3.38%	1	`(exp.f64 a)`
3.38%	1	`(exp.f64 b)`

Compiler

Compiled 676 to 417 computations (38.3% saved)

regimes44.0ms (0.2%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Error	Segments	Branch
3.56%	1	`a`
3.56%	1	`b`
3.56%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
3.56%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
3.56%	1	`(exp.f64 a)`
3.56%	1	`(exp.f64 b)`

Compiler

Compiled 212 to 144 computations (32.1% saved)

regimes78.0ms (0.4%)

Counts

21 → 2

Calls

Call 1

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

Calls

6 calls:

37.0ms	b
20.0ms	a
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
3.48%	2	`a`
32.74%	4	`b`
3.53%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
3.53%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
3.48%	2	`(exp.f64 a)`
44.49%	1	`(exp.f64 b)`

Compiler

Compiled 179 to 121 computations (32.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.04449546422134e-24

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes61.0ms (0.3%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

4 calls:

32.0ms	b
17.0ms	a
4.0ms	(exp.f64 a)
3.0ms	(exp.f64 b)

Results

Error	Segments	Branch
3.5%	2	`a`
32.74%	4	`b`
3.5%	2	`(exp.f64 a)`
44.49%	1	`(exp.f64 b)`

Compiler

Compiled 134 to 94 computations (29.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.04449546422134e-24

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes59.0ms (0.3%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

4 calls:

31.0ms	b
17.0ms	a
4.0ms	(exp.f64 a)
3.0ms	(exp.f64 b)

Results

Error	Segments	Branch
3.55%	2	`a`
32.74%	4	`b`
3.55%	2	`(exp.f64 a)`
44.49%	1	`(exp.f64 b)`

Compiler

Compiled 125 to 90 computations (28% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.04449546422134e-24

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes79.0ms (0.4%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

4 calls:

50.0ms	b
16.0ms	a
5.0ms	(exp.f64 b)
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
3.99%	2	`a`
33.81%	6	`b`
3.99%	2	`(exp.f64 a)`
44.78%	2	`(exp.f64 b)`

Compiler

Compiled 116 to 85 computations (26.7% saved)

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-55.21850827238786	-0.7446500480794366

Results

14.0ms

112×

body

256

valid

Compiler

Compiled 146 to 115 computations (21.2% saved)

regimes75.0ms (0.4%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

4 calls:

49.0ms	b
15.0ms	a
4.0ms	(exp.f64 b)
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
4.07%	2	`a`
33.81%	6	`b`
4.07%	2	`(exp.f64 a)`
44.78%	2	`(exp.f64 b)`

Compiler

Compiled 109 to 81 computations (25.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.04449546422134e-24	0.47490046319281265

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes48.0ms (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)))
(+.f64 (.f64 1/2 b) (.f64 -1/4 (*.f64 a b)))
(log.f64 2)
(log.f64 (+.f64 2 a))
(+.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 1/2 a) (+.f64 (.f64 1/2 b) (log.f64 2)))
(-.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))) 1)

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

Calls

3 calls:

28.0ms	b
12.0ms	a
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
4.07%	2	`a`
36.05%	4	`b`
4.07%	2	`(exp.f64 a)`

Compiler

Compiled 80 to 61 computations (23.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.04449546422134e-24	0.47490046319281265

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes42.0ms (0.2%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	b
11.0ms	a
3.0ms	(exp.f64 a)

Results

Error	Segments	Branch
4.33%	2	`a`
36.05%	4	`b`
4.33%	2	`(exp.f64 a)`

Compiler

Compiled 60 to 44 computations (26.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.04449546422134e-24

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes16.0ms (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)))
(+.f64 (.f64 1/2 b) (.f64 -1/4 (*.f64 a b)))
(log.f64 2)
(log.f64 (+.f64 2 a))
(+.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:

10.0ms	a
5.0ms	b

Results

Error	Segments	Branch
45.26%	2	`a`
52.64%	1	`b`

Compiler

Compiled 50 to 37 computations (26% saved)

bsearch34.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
34.0ms	-217862388.56512904	-55.21850827238786

Results

14.0ms	26×	body	1024	valid
12.0ms	98×	body	256	valid
4.0ms	17×	body	512	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 148 to 127 computations (14.2% saved)

regimes16.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	a
5.0ms	b

Results

Error	Segments	Branch
45.89%	2	`a`
53.63%	1	`b`

Compiler

Compiled 44 to 32 computations (27.3% saved)

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-55.21850827238786	-0.7446500480794366

Results

12.0ms

112×

body

256

valid

Compiler

Compiled 118 to 101 computations (14.4% saved)

regimes22.0ms (0.1%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	b
8.0ms	a

Results

Error	Segments	Branch
45.9%	2	`a`
53.63%	1	`b`

Compiler

Compiled 38 to 27 computations (28.9% saved)

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-55.21850827238786	-0.7446500480794366

Results

12.0ms

112×

body

256

valid

Compiler

Compiled 104 to 87 computations (16.3% saved)

regimes14.0ms (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)))
(+.f64 (.f64 1/2 b) (.f64 -1/4 (*.f64 a b)))
(log.f64 2)

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

Calls

2 calls:

8.0ms	a
5.0ms	b

Results

Error	Segments	Branch
46.1%	2	`a`
53.63%	1	`b`

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch34.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
34.0ms	-217862388.56512904	-55.21850827238786

Results

12.0ms	93×	body	256	valid
11.0ms	22×	body	1024	valid
7.0ms	27×	body	512	valid
2.0ms	2×	body	2048	valid

Compiler

Compiled 112 to 100 computations (10.7% saved)

regimes8.0ms (0%)

Accuracy

Total -4.8b remaining (-8.6%)

Threshold costs -4.8b (-8.6%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(/.f64 b 2)

Calls

2 calls:

4.0ms	a
4.0ms	b

Results

Error	Segments	Branch
87.54%	1	`a`
87.54%	1	`b`

Compiler

Compiled 32 to 22 computations (31.3% saved)

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

36×	`+-commutative`
18×	`*-commutative`
4×	`distribute-lft-neg-in`
4×	`sub-neg`
4×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	572
1	97	572
2	105	572
3	109	572
4	112	572
5	113	572

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b (+.f64 1/2 (.f64 a -1/4)))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 a))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 1 (/.f64 2 b))))
(if (<=.f64 a -38) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))
(if (<=.f64 (exp.f64 a) 5444517870735015/2722258935367507707706996859454145691648) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2))))
(if (<=.f64 (exp.f64 a) 5444517870735015/2722258935367507707706996859454145691648) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 a) (+.f64 (.f64 1/2 b) (log.f64 2))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -140) (/.f64 b 2) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -3152519739159347/2251799813685248) (/.f64 b 2) (+.f64 (*.f64 1/2 a) (log.f64 2)))
(if (<=.f64 a -1) (/.f64 b 2) (log.f64 (+.f64 2 a)))
(if (<=.f64 a -122) (/.f64 b 2) (log.f64 2))
(/.f64 b 2)

Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b (+.f64 1/2 (.f64 a -1/4)))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b (+.f64 1/2 (.f64 a -1/4)))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 a))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 a 2))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 1 (/.f64 2 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 1 (/.f64 2 b))))
(if (<=.f64 a -38) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))
(if (<=.f64 a -38) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 (exp.f64 a) (+.f64 b 1))))
(if (<=.f64 (exp.f64 a) 5444517870735015/2722258935367507707706996859454145691648) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2))))
(if (<=.f64 (exp.f64 a) 5444517870735015/2722258935367507707706996859454145691648) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (.f64 a (+.f64 1/2 (.f64 -1/4 b))) (+.f64 (*.f64 b 1/2) (log.f64 2))))
(if (<=.f64 (exp.f64 a) 5444517870735015/2722258935367507707706996859454145691648) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (.f64 a (-.f64 1/2 (.f64 b 1/4))) (+.f64 (*.f64 b 1/2) (log.f64 2))))
(if (<=.f64 (exp.f64 a) 5444517870735015/2722258935367507707706996859454145691648) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 a) (+.f64 (.f64 1/2 b) (log.f64 2))))
(if (<=.f64 (exp.f64 a) 5444517870735015/2722258935367507707706996859454145691648) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (+.f64 (.f64 b 1/2) (log.f64 2)) (.f64 a 1/2)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (*.f64 b 1/2) (log.f64 2)))
(if (<=.f64 a -140) (/.f64 b 2) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -140) (/.f64 b 2) (+.f64 (*.f64 b 1/2) (log.f64 2)))
(if (<=.f64 a -3152519739159347/2251799813685248) (/.f64 b 2) (+.f64 (*.f64 1/2 a) (log.f64 2)))
(if (<=.f64 a -3152519739159347/2251799813685248) (/.f64 b 2) (+.f64 (log.f64 2) (*.f64 a 1/2)))
(if (<=.f64 a -1) (/.f64 b 2) (log.f64 (+.f64 2 a)))
(if (<=.f64 a -1) (/.f64 b 2) (log.f64 (+.f64 a 2)))
(if (<=.f64 a -122) (/.f64 b 2) (log.f64 2))
(/.f64 b 2)

Compiler

Compiled 235 to 170 computations (27.7% saved)

soundness86.0ms (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)

end112.0ms (0.6%)

Compiler: Compiled 233 to 149 computations (36.1% saved)