Details

analyze183.0ms (1.1%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample11.0s (64.9%)

Results

8.7s	7703×	body	8192	exit
1.2s	2029×	body	1024	valid
658.0ms	5044×	body	256	valid
311.0ms	957×	body	512	valid
164.0ms	226×	body	2048	valid

Bogosity

preprocess41.0ms (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

28.9b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.9b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 8 to 6 computations (25% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	4.5b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series103.0ms (0.6%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
54.0ms	a	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
17.0ms	b	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
17.0ms	a	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
12.0ms	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))))))

simplify76.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

74 → 115

Calls

Call 1

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

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

eval30.0ms (0.2%)

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

prune44.0ms (0.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	105	10	115
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	105	11	116

Error

0.2b

Counts

116 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.7b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
	29.4b	(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
	1.0b	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
	31.0b	(log1p.f64 (exp.f64 b))
▶	30.7b	(log1p.f64 (exp.f64 a))
	29.8b	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
✓	28.9b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
▶	29.5b	(log.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))
▶	29.5b	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
▶	31.0b	(log.f64 (+.f64 1 (exp.f64 b)))
	29.2b	(expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

Compiler

Compiled 200 to 152 computations (24% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 14 computations (53.3% saved)

series44.0ms (0.3%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
26.0ms	a	@	inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
12.0ms	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))))
2.0ms	a	@	0	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
1.0ms	b	@	inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))

rewrite99.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1560×	`associate-*r/`
1068×	`*-commutative`
988×	`associate-*l/`
918×	`associate-/r*`
676×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	229	42
2	3055	42

Stop Event

1×	node limit

Counts

2 → 155

Calls

Call 1

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

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

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

simplify117.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

796×	`associate-+l+`
794×	`+-commutative`
728×	`associate-+r+`
476×	`distribute-lft-neg-in`
456×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	465	10235
1	1289	9835
2	5290	9733

Stop Event

1×	node limit

Counts

183 → 260

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (exp.f64 b))
✓	0.5b	(log.f64 (+.f64 1 (exp.f64 b)))

Compiler

Compiled 15 to 9 computations (40% saved)

series29.0ms (0.2%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	b	@	-inf	(log.f64 (+.f64 1 (exp.f64 b)))
13.0ms	b	@	inf	(log.f64 (+.f64 1 (exp.f64 b)))
0.0ms	b	@	0	(log.f64 (+.f64 1 (exp.f64 b)))
0.0ms	b	@	0	(+.f64 1 (exp.f64 b))
0.0ms	b	@	inf	(+.f64 1 (exp.f64 b))

rewrite54.0ms (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	20
1	153	20
2	1770	20

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify104.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

62 → 91

Calls

Call 1

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

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

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))
✓	0.0b	(+.f64 b (.f64 1/2 (.f64 b b)))
✓	0.0b	(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))
✓	3.6b	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))

Compiler

Compiled 58 to 28 computations (51.7% saved)

series79.0ms (0.5%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
53.0ms	a	@	inf	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
14.0ms	a	@	-inf	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
5.0ms	b	@	0	(+.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))))))
1.0ms	b	@	inf	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))

rewrite106.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	116
1	299	100
2	4054	100

Stop Event

1×	node limit

Counts

4 → 235

Calls

Call 1

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

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

simplify195.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

900×	`associate-+r-`
766×	`associate-r`
718×	`fma-def`
670×	`+-commutative`
648×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	689	17011
1	1848	16167
2	7812	16167

Stop Event

1×	node limit

Counts

319 → 414

Calls

Call 1

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

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

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))
✓	0.0b	(+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))
✓	3.6b	(log.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))

Compiler

Compiled 50 to 28 computations (44% saved)

series20.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
8.0ms	a	@	-inf	(log.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))
7.0ms	a	@	inf	(log.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))
0.0ms	b	@	0	(log.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))
0.0ms	a	@	0	(log.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))
0.0ms	b	@	-inf	(+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))

rewrite98.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1198×	`distribute-lft-in`
1158×	`associate-*r/`
852×	`associate-*l/`
326×	`associate-+l+`
292×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	91
1	285	91
2	3591	85

Stop Event

1×	node limit

Counts

3 → 197

Calls

Call 1

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

Outputs

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

simplify123.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

684×	`associate-r`
622×	`fma-def`
618×	`distribute-lft-in`
614×	`+-commutative`
606×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	614	17953
1	1796	17043

Stop Event

1×	node limit

Counts

269 → 363

Calls

Call 1

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

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

eval521.0ms (3.1%)

Compiler: Compiled 32747 to 19835 computations (39.4% saved)

prune229.0ms (1.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	1117	11	1128
Fresh	4	1	5
Picked	1	0	1
Done	4	1	5
Total	1126	13	1139

Error

0.2b

Counts

1139 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	31.2b	(/.f64 b (+.f64 2 (expm1.f64 a)))
	31.4b	(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
▶	31.6b	(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
	31.3b	(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
▶	31.2b	(+.f64 (*.f64 1/2 b) (log.f64 2))
	31.0b	(log1p.f64 (exp.f64 b))
✓	30.7b	(log1p.f64 (exp.f64 a))
▶	31.3b	(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
	29.8b	(log.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))
	32.3b	(log.f64 (+.f64 b (+.f64 (+.f64 2 a) (.f64 b (.f64 b 1/2)))))
	31.4b	(log.f64 (+.f64 2 b))
▶	31.9b	(log.f64 2)
▶	16.8b	(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))

Compiler

Compiled 243 to 194 computations (20.2% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
	0.0b	(+.f64 1 (exp.f64 a))
✓	0.1b	(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
✓	1.4b	(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))

Compiler

Compiled 53 to 25 computations (52.8% saved)

series38.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
16.0ms	a	@	inf	(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
15.0ms	a	@	-inf	(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
2.0ms	b	@	0	(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
1.0ms	a	@	0	(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
1.0ms	b	@	inf	(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1562×	`associate-*r/`
1136×	`*-commutative`
1000×	`associate-*l/`
916×	`associate-/r*`
672×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	66
1	256	66
2	3244	66

Stop Event

1×	node limit

Counts

2 → 111

Calls

Call 1

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

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 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (#(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 (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 (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 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 0) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (-.f64 (log.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))) (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 (log.f64 (-.f64 1 (exp.f64 a))) (/.f64 b (+.f64 (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 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 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 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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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 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simplify116.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1284×	`associate-+r+`
920×	`associate-/l/`
898×	`+-commutative`
826×	`associate-/r/`
382×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	418	10391
1	1163	9831
2	4745	9807

Stop Event

1×	node limit

Counts

159 → 238

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

series3.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

rewrite57.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify54.0ms (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))

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 35 to 20 computations (42.9% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	67
1	239	59
2	3166	59

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

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

Outputs

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

simplify108.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1212×	`associate-+l+`
1132×	`associate-+r+`
954×	`+-commutative`
556×	`associate--r+`
516×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	393	9115
1	1117	8111
2	5121	8111

Stop Event

1×	node limit

Counts

173 → 243

Calls

Call 1

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

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

localize22.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (-.f64 1/2 (.f64 1/4 b)) a)
	0.0b	(+.f64 (*.f64 1/2 b) (log.f64 2))

Compiler

Compiled 47 to 36 computations (23.4% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(.f64 (-.f64 1/2 (.f64 1/4 b)) a)
1.0ms	b	@	0	(.f64 (-.f64 1/2 (.f64 1/4 b)) a)
0.0ms	a	@	inf	(.f64 (-.f64 1/2 (.f64 1/4 b)) a)
0.0ms	b	@	inf	(.f64 (-.f64 1/2 (.f64 1/4 b)) a)
0.0ms	a	@	-inf	(.f64 (-.f64 1/2 (.f64 1/4 b)) a)

rewrite57.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1920×	`add-sqr-sqrt`
1894×	`*-un-lft-identity`
1774×	`add-cube-cbrt`
1756×	`add-cbrt-cube`
186×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	194	19
2	2363	19

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a 1/2) (*.f64 a (*.f64 b -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 a) (*.f64 (*.f64 b -1/4) a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (-.f64 1/4 (*.f64 (*.f64 b b) 1/16))) (+.f64 1/2 (*.f64 1/4 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (-.f64 1/8 (*.f64 (pow.f64 b 3) 1/64))) (+.f64 1/4 (+.f64 (*.f64 (*.f64 b b) 1/16) (*.f64 1/8 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 b b) 1/16)) a) (+.f64 1/2 (*.f64 1/4 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/8 (*.f64 (pow.f64 b 3) 1/64)) a) (+.f64 1/4 (+.f64 (*.f64 (*.f64 b b) 1/16) (*.f64 1/8 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (+.f64 1/2 (*.f64 b -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a)))))))

simplify56.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1134×	`fma-def`
990×	`distribute-lft-out`
894×	`associate-r`
786×	`associate-l`
564×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	71	689
1	162	581
2	470	549
3	2949	549
4	6000	549

Stop Event

1×	node limit

Counts

31 → 32

Calls

Call 1

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

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

eval421.0ms (2.5%)

Compiler: Compiled 24611 to 15864 computations (35.5% saved)

prune173.0ms (1%)

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	858	5	863
Fresh	1	6	7
Picked	0	1	1
Done	1	4	5
Total	860	16	876

Error

0.2b

Counts

876 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.2b	(/.f64 b (+.f64 2 (expm1.f64 a)))
▶	31.4b	(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
✓	31.6b	(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
	31.3b	(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
✓	31.2b	(+.f64 (*.f64 1/2 b) (log.f64 2))
	31.6b	(+.f64 (.f64 1/2 a) (+.f64 (.f64 1/2 b) (log.f64 2)))
▶	56.4b	(*.f64 1/2 b)
	31.0b	(log1p.f64 (exp.f64 b))
✓	30.7b	(log1p.f64 (exp.f64 a))
▶	31.3b	(log.f64 (/.f64 (-.f64 4 (.f64 (+.f64 b (.f64 b (.f64 b 1/2))) (+.f64 b (.f64 b (.f64 b 1/2))))) (-.f64 (-.f64 2 b) (.f64 b (*.f64 b 1/2)))))
✓	31.3b	(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
▶	29.8b	(log.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))
	31.4b	(log.f64 (+.f64 2 b))
✓	31.9b	(log.f64 2)
	49.0b	(exp.f64 (+.f64 (log.f64 b) (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 -1 (/.f64 (+.f64 1 (exp.f64 a)) b)))))
	31.4b	(exp.f64 (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))

Compiler

Compiled 297 to 235 computations (20.9% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 a) (+.f64 b 1))
✓	3.6b	(log.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))

Compiler

Compiled 23 to 13 computations (43.5% saved)

series32.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
15.0ms	a	@	-inf	(log.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))
13.0ms	a	@	inf	(log.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))
1.0ms	a	@	0	(log.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))
1.0ms	b	@	inf	(log.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))
0.0ms	b	@	-inf	(log.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

946×	`associate-*r/`
876×	`*-commutative`
736×	`unswap-sqr`
712×	`distribute-lft-in`
700×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	205	38
2	2676	32

Stop Event

1×	node limit

Counts

2 → 129

Calls

Call 1

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

Outputs

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

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

simplify98.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1484×	`associate-*r/`
1230×	`associate-*l/`
1084×	`+-commutative`
576×	`associate-/r/`
422×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	425	7625
1	1190	7115
2	4783	7103

Stop Event

1×	node limit

Counts

177 → 251

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize7.0ms (0%)

Compiler: Compiled 17 to 9 computations (47.1% saved)

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (-.f64 2 b) (.f64 b (.f64 b 1/2)))
✓	0.0b	(log.f64 (/.f64 (-.f64 4 (.f64 (+.f64 b (.f64 b (.f64 b 1/2))) (+.f64 b (.f64 b (.f64 b 1/2))))) (-.f64 (-.f64 2 b) (.f64 b (*.f64 b 1/2)))))
✓	0.0b	(/.f64 (-.f64 4 (.f64 (+.f64 b (.f64 b (.f64 b 1/2))) (+.f64 b (.f64 b (.f64 b 1/2))))) (-.f64 (-.f64 2 b) (.f64 b (*.f64 b 1/2))))
✓	0.0b	(.f64 (+.f64 b (.f64 b (.f64 b 1/2))) (+.f64 b (.f64 b (*.f64 b 1/2))))

Compiler

Compiled 120 to 79 computations (34.2% saved)

series4.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	b	@	inf	(.f64 (+.f64 b (.f64 b (.f64 b 1/2))) (+.f64 b (.f64 b (*.f64 b 1/2))))
0.0ms	b	@	0	(/.f64 (-.f64 4 (.f64 (+.f64 b (.f64 b (.f64 b 1/2))) (+.f64 b (.f64 b (.f64 b 1/2))))) (-.f64 (-.f64 2 b) (.f64 b (*.f64 b 1/2))))
0.0ms	b	@	0	(.f64 (+.f64 b (.f64 b (.f64 b 1/2))) (+.f64 b (.f64 b (*.f64 b 1/2))))
0.0ms	b	@	-inf	(.f64 (+.f64 b (.f64 b (.f64 b 1/2))) (+.f64 b (.f64 b (*.f64 b 1/2))))
0.0ms	b	@	inf	(/.f64 (-.f64 4 (.f64 (+.f64 b (.f64 b (.f64 b 1/2))) (+.f64 b (.f64 b (.f64 b 1/2))))) (-.f64 (-.f64 2 b) (.f64 b (*.f64 b 1/2))))

rewrite127.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1644×	`associate-/l*`
498×	`associate-+l+`
412×	`+-commutative`
392×	`add-sqr-sqrt`
382×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	176
1	378	152
2	5510	152

Stop Event

1×	node limit

Counts

4 → 288

Calls

Call 1

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

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

simplify137.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

960×	`fma-def`
698×	`associate-r`
694×	`+-commutative`
602×	`associate-l`
502×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	725	20124
1	1965	17034

Stop Event

1×	node limit

Counts

336 → 451

Calls

Call 1

Inputs
(pow.f64 b 2)
(+.f64 (pow.f64 b 3) (pow.f64 b 2))
(+.f64 (*.f64 1/4 (pow.f64 b 4)) (+.f64 (pow.f64 b 3) (pow.f64 b 2)))
(+.f64 (*.f64 1/4 (pow.f64 b 4)) (+.f64 (pow.f64 b 3) (pow.f64 b 2)))
(*.f64 1/4 (pow.f64 b 4))
(+.f64 (*.f64 1/4 (pow.f64 b 4)) (pow.f64 b 3))
(+.f64 (*.f64 1/4 (pow.f64 b 4)) (+.f64 (pow.f64 b 3) (pow.f64 b 2)))
(+.f64 (*.f64 1/4 (pow.f64 b 4)) (+.f64 (pow.f64 b 3) (pow.f64 b 2)))
(*.f64 1/4 (pow.f64 b 4))
(+.f64 (*.f64 1/4 (pow.f64 b 4)) (pow.f64 b 3))
(+.f64 (*.f64 1/4 (pow.f64 b 4)) (+.f64 (pow.f64 b 3) (pow.f64 b 2)))
(+.f64 (*.f64 1/4 (pow.f64 b 4)) (+.f64 (pow.f64 b 3) (pow.f64 b 2)))
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/12 (pow.f64 b 3)))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (log.f64 1/2))
(+.f64 (log.f64 1/2) (+.f64 (.f64 -2 (log.f64 (/.f64 1 b))) (.f64 2 (/.f64 1 b))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 1 b))))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 1 b)))))) (.f64 16/3 (/.f64 1 (pow.f64 b 3))))
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))
(+.f64 (log.f64 1/2) (+.f64 (.f64 2 (/.f64 1 b)) (.f64 -2 (log.f64 (/.f64 -1 b)))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 -1 b)))))) (.f64 16/3 (/.f64 1 (pow.f64 b 3))))
2
(+.f64 2 (*.f64 -1 b))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 b 2)) (.f64 -1 b)))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 b 2)) (.f64 -1 b)))
(*.f64 -1/2 (pow.f64 b 2))
(+.f64 (.f64 -1/2 (pow.f64 b 2)) (.f64 -1 b))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 b 2)) (.f64 -1 b)))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 b 2)) (.f64 -1 b)))
(*.f64 -1/2 (pow.f64 b 2))
(+.f64 (.f64 -1/2 (pow.f64 b 2)) (.f64 -1 b))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 b 2)) (.f64 -1 b)))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 b 2)) (.f64 -1 b)))
(+.f64 (pow.f64 (.f64 1/2 (.f64 b b)) 2) (+.f64 (.f64 (pow.f64 b 3) 1/2) (.f64 b (fma.f64 b (*.f64 b 1/2) b))))
(+.f64 (.f64 b b) (+.f64 (.f64 (pow.f64 b 3) 1/2) (.f64 (.f64 1/2 (.f64 b b)) (fma.f64 b (.f64 b 1/2) b))))
(+.f64 (.f64 b (fma.f64 b (.f64 b 1/2) b)) (.f64 (.f64 1/2 (.f64 b b)) (fma.f64 b (.f64 b 1/2) b)))
(+.f64 (.f64 (.f64 1/2 (.f64 b b)) (fma.f64 b (.f64 b 1/2) b)) (.f64 b (fma.f64 b (.f64 b 1/2) b)))
(+.f64 (.f64 (pow.f64 b 3) 1/2) (+.f64 (.f64 b b) (.f64 (.f64 1/2 (.f64 b b)) (fma.f64 b (.f64 b 1/2) b))))
(+.f64 (.f64 (pow.f64 b 3) 1/2) (+.f64 (pow.f64 (.f64 1/2 (.f64 b b)) 2) (.f64 b (fma.f64 b (*.f64 b 1/2) b))))
(+.f64 (.f64 (.f64 b (fma.f64 b (.f64 b 1/2) b)) 1) (.f64 (.f64 (.f64 1/2 (.f64 b b)) (fma.f64 b (.f64 b 1/2) b)) 1))
(+.f64 (.f64 (.f64 (.f64 1/2 (.f64 b b)) (fma.f64 b (.f64 b 1/2) b)) 1) (.f64 (.f64 b (fma.f64 b (.f64 b 1/2) b)) 1))
(+.f64 (+.f64 (.f64 b b) (.f64 (.f64 1/2 (.f64 b b)) (fma.f64 b (.f64 b 1/2) b))) (.f64 (pow.f64 b 3) 1/2))
(+.f64 (+.f64 (.f64 b (fma.f64 b (.f64 b 1/2) b)) (.f64 (pow.f64 b 3) 1/2)) (pow.f64 (.f64 1/2 (*.f64 b b)) 2))
(+.f64 (+.f64 (.f64 (.f64 1/2 (.f64 b b)) (fma.f64 b (.f64 b 1/2) b)) (.f64 (pow.f64 b 3) 1/2)) (.f64 b b))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 b (*.f64 b 1/2) b) 2))) 1)
(/.f64 (fma.f64 b (.f64 b 1/2) b) (/.f64 1 (fma.f64 b (.f64 b 1/2) b)))
(/.f64 (pow.f64 (fma.f64 b (*.f64 b 1/2) b) 2) 1)
(/.f64 1 (/.f64 1 (pow.f64 (fma.f64 b (*.f64 b 1/2) b) 2)))
(/.f64 (sqrt.f64 (fma.f64 b (.f64 b 1/2) b)) (/.f64 1 (.f64 (sqrt.f64 (fma.f64 b (.f64 b 1/2) b)) (fma.f64 b (.f64 b 1/2) b))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 b (.f64 b 1/2) b)) 2) (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 4))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 b (.f64 b 1/2) b)) 2) (/.f64 1 (.f64 (cbrt.f64 (fma.f64 b (.f64 b 1/2) b)) (fma.f64 b (.f64 b 1/2) b))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 4)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 b (.f64 b 1/2) b)) 2)))
(/.f64 (-.f64 (.f64 b b) (pow.f64 (.f64 1/2 (.f64 b b)) 2)) (/.f64 (.f64 (-.f64 b (.f64 1/2 (.f64 b b))) (-.f64 b (.f64 1/2 (.f64 b b)))) (-.f64 (.f64 b b) (pow.f64 (.f64 1/2 (*.f64 b b)) 2))))
(/.f64 (-.f64 (.f64 b b) (pow.f64 (.f64 1/2 (.f64 b b)) 2)) (/.f64 (-.f64 b (.f64 1/2 (.f64 b b))) (fma.f64 b (.f64 b 1/2) b)))
(/.f64 (-.f64 (.f64 b b) (pow.f64 (.f64 1/2 (.f64 b b)) 2)) (/.f64 (.f64 (-.f64 b (.f64 1/2 (.f64 b b))) (fma.f64 b b (-.f64 (pow.f64 (.f64 1/2 (.f64 b b)) 2) (.f64 (pow.f64 b 3) 1/2)))) (+.f64 (pow.f64 b 3) (pow.f64 (.f64 1/2 (*.f64 b b)) 3))))
(/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (.f64 1/2 (.f64 b b)) 3)) (/.f64 (.f64 (fma.f64 b b (-.f64 (pow.f64 (.f64 1/2 (.f64 b b)) 2) (.f64 (pow.f64 b 3) 1/2))) (fma.f64 b b (-.f64 (pow.f64 (.f64 1/2 (.f64 b b)) 2) (.f64 (pow.f64 b 3) 1/2)))) (+.f64 (pow.f64 b 3) (pow.f64 (.f64 1/2 (*.f64 b b)) 3))))
(/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (.f64 1/2 (.f64 b b)) 3)) (/.f64 (fma.f64 b b (-.f64 (pow.f64 (.f64 1/2 (.f64 b b)) 2) (.f64 (pow.f64 b 3) 1/2))) (fma.f64 b (.f64 b 1/2) b)))
(/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (.f64 1/2 (.f64 b b)) 3)) (/.f64 (.f64 (fma.f64 b b (-.f64 (pow.f64 (.f64 1/2 (.f64 b b)) 2) (.f64 (pow.f64 b 3) 1/2))) (-.f64 b (.f64 1/2 (.f64 b b)))) (-.f64 (.f64 b b) (pow.f64 (.f64 1/2 (*.f64 b b)) 2))))
(/.f64 (.f64 (fma.f64 b (.f64 b 1/2) b) (sqrt.f64 (fma.f64 b (.f64 b 1/2) b))) (/.f64 1 (sqrt.f64 (fma.f64 b (.f64 b 1/2) b))))
(/.f64 (.f64 (+.f64 (pow.f64 b 3) (pow.f64 (.f64 1/2 (.f64 b b)) 3)) (+.f64 (pow.f64 b 3) (pow.f64 (.f64 1/2 (.f64 b b)) 3))) (.f64 (fma.f64 b b (-.f64 (pow.f64 (.f64 1/2 (.f64 b b)) 2) (.f64 (pow.f64 b 3) 1/2))) (fma.f64 b b (-.f64 (pow.f64 (.f64 1/2 (.f64 b b)) 2) (.f64 (pow.f64 b 3) 1/2)))))
(/.f64 (.f64 (-.f64 (.f64 b b) (pow.f64 (.f64 1/2 (.f64 b b)) 2)) (-.f64 (.f64 b b) (pow.f64 (.f64 1/2 (.f64 b b)) 2))) (.f64 (-.f64 b (.f64 1/2 (.f64 b b))) (-.f64 b (.f64 1/2 (.f64 b b)))))
(/.f64 (.f64 (fma.f64 b (.f64 b 1/2) b) (pow.f64 (cbrt.f64 (fma.f64 b (.f64 b 1/2) b)) 2)) (/.f64 1 (cbrt.f64 (fma.f64 b (.f64 b 1/2) b))))
(/.f64 (.f64 (fma.f64 b (.f64 b 1/2) b) (-.f64 (.f64 b b) (pow.f64 (.f64 1/2 (.f64 b b)) 2))) (-.f64 b (.f64 1/2 (*.f64 b b))))
(/.f64 (.f64 (fma.f64 b (.f64 b 1/2) b) (+.f64 (pow.f64 b 3) (pow.f64 (.f64 1/2 (.f64 b b)) 3))) (fma.f64 b b (-.f64 (pow.f64 (.f64 1/2 (.f64 b b)) 2) (*.f64 (pow.f64 b 3) 1/2))))
(/.f64 (.f64 (-.f64 (.f64 b b) (pow.f64 (.f64 1/2 (.f64 b b)) 2)) (fma.f64 b (.f64 b 1/2) b)) (-.f64 b (.f64 1/2 (*.f64 b b))))
(/.f64 (.f64 (+.f64 (pow.f64 b 3) (pow.f64 (.f64 1/2 (.f64 b b)) 3)) (fma.f64 b (.f64 b 1/2) b)) (fma.f64 b b (-.f64 (pow.f64 (.f64 1/2 (.f64 b b)) 2) (*.f64 (pow.f64 b 3) 1/2))))
(/.f64 (-.f64 (.f64 (.f64 b (fma.f64 b (.f64 b 1/2) b)) (.f64 b (fma.f64 b (.f64 b 1/2) b))) (.f64 (.f64 (.f64 1/2 (.f64 b b)) (fma.f64 b (.f64 b 1/2) b)) (.f64 (.f64 1/2 (.f64 b b)) (fma.f64 b (.f64 b 1/2) b)))) (-.f64 (.f64 b (fma.f64 b (.f64 b 1/2) b)) (.f64 (.f64 1/2 (.f64 b b)) (fma.f64 b (.f64 b 1/2) b))))
(/.f64 (+.f64 (pow.f64 (.f64 b (fma.f64 b (.f64 b 1/2) b)) 3) (pow.f64 (.f64 (.f64 1/2 (.f64 b b)) (fma.f64 b (.f64 b 1/2) b)) 3)) (+.f64 (.f64 (.f64 b (fma.f64 b (.f64 b 1/2) b)) (.f64 b (fma.f64 b (.f64 b 1/2) b))) (-.f64 (.f64 (.f64 (.f64 1/2 (.f64 b b)) (fma.f64 b (.f64 b 1/2) b)) (.f64 (.f64 1/2 (.f64 b b)) (fma.f64 b (.f64 b 1/2) b))) (.f64 (.f64 b (fma.f64 b (.f64 b 1/2) b)) (.f64 (.f64 1/2 (.f64 b b)) (fma.f64 b (*.f64 b 1/2) b))))))
(/.f64 (.f64 (-.f64 (.f64 b b) (pow.f64 (.f64 1/2 (.f64 b b)) 2)) (+.f64 (pow.f64 b 3) (pow.f64 (.f64 1/2 (.f64 b b)) 3))) (.f64 (-.f64 b (.f64 1/2 (.f64 b b))) (fma.f64 b b (-.f64 (pow.f64 (.f64 1/2 (.f64 b b)) 2) (.f64 (pow.f64 b 3) 1/2)))))
(/.f64 (.f64 (+.f64 (pow.f64 b 3) (pow.f64 (.f64 1/2 (.f64 b b)) 3)) (-.f64 (.f64 b b) (pow.f64 (.f64 1/2 (.f64 b b)) 2))) (.f64 (fma.f64 b b (-.f64 (pow.f64 (.f64 1/2 (.f64 b b)) 2) (.f64 (pow.f64 b 3) 1/2))) (-.f64 b (.f64 1/2 (.f64 b b)))))
(pow.f64 (fma.f64 b (*.f64 b 1/2) b) 2)
(pow.f64 (pow.f64 (fma.f64 b (*.f64 b 1/2) b) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b (*.f64 b 1/2) b)) 2) 3)
(pow.f64 (pow.f64 (fma.f64 b (*.f64 b 1/2) b) 6) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 b (*.f64 b 1/2) b) 4))
(log.f64 (exp.f64 (pow.f64 (fma.f64 b (*.f64 b 1/2) b) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 b (*.f64 b 1/2) b) 2))))
(cbrt.f64 (pow.f64 (fma.f64 b (*.f64 b 1/2) b) 6))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 b (*.f64 b 1/2) b) 2)))
(exp.f64 (.f64 2 (log.f64 (fma.f64 b (.f64 b 1/2) b))))
(exp.f64 (.f64 (log.f64 (fma.f64 b (.f64 b 1/2) b)) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (fma.f64 b (*.f64 b 1/2) b))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 b (*.f64 b 1/2) b) 2)))
(fma.f64 b (fma.f64 b (.f64 b 1/2) b) (.f64 (.f64 1/2 (.f64 b b)) (fma.f64 b (*.f64 b 1/2) b)))
(fma.f64 (fma.f64 b (.f64 b 1/2) b) b (.f64 (.f64 1/2 (.f64 b b)) (fma.f64 b (*.f64 b 1/2) b)))
(+.f64 (/.f64 4 (-.f64 2 (fma.f64 b (.f64 b 1/2) b))) (neg.f64 (/.f64 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 2) (-.f64 2 (fma.f64 b (*.f64 b 1/2) b)))))
(+.f64 (neg.f64 (/.f64 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 2) (-.f64 2 (fma.f64 b (.f64 b 1/2) b)))) (/.f64 4 (-.f64 2 (fma.f64 b (*.f64 b 1/2) b))))
(-.f64 (/.f64 4 (-.f64 2 (fma.f64 b (.f64 b 1/2) b))) (/.f64 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 2) (-.f64 2 (fma.f64 b (*.f64 b 1/2) b))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 4 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 2)) (-.f64 2 (fma.f64 b (.f64 b 1/2) b))))) 1)
(.f64 (-.f64 4 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 2)) (/.f64 1 (-.f64 2 (fma.f64 b (*.f64 b 1/2) b))))
(.f64 (/.f64 (-.f64 4 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 2)) (-.f64 2 (fma.f64 b (*.f64 b 1/2) b))) 1)
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(pow.f64 (cbrt.f64 (log.f64 (/.f64 (-.f64 4 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 2)) (-.f64 2 (fma.f64 b (.f64 b 1/2) b))))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 (-.f64 4 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 2)) (-.f64 2 (fma.f64 b (.f64 b 1/2) b)))) 3) 1/3)
(neg.f64 (log.f64 (/.f64 (-.f64 2 (fma.f64 b (.f64 b 1/2) b)) (-.f64 4 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 2)))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (-.f64 4 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 2)) (-.f64 2 (fma.f64 b (.f64 b 1/2) b)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (-.f64 4 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 2)) (-.f64 2 (fma.f64 b (.f64 b 1/2) b)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (-.f64 4 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 2)) (-.f64 2 (fma.f64 b (.f64 b 1/2) b))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (-.f64 4 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 2)) (-.f64 2 (fma.f64 b (.f64 b 1/2) b))))))
(exp.f64 (.f64 (log.f64 (log.f64 (/.f64 (-.f64 4 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 2)) (-.f64 2 (fma.f64 b (*.f64 b 1/2) b))))) 1))
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(+.f64 2 (-.f64 (.f64 (.f64 b b) -1/2) b))
(+.f64 2 (+.f64 (.f64 (neg.f64 b) 1) (.f64 (*.f64 b b) -1/2)))
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(+.f64 2 (+.f64 (.f64 (neg.f64 b) 1) (.f64 (.f64 (.f64 b b) -1/2) 1)))
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(+.f64 (+.f64 (.f64 (.f64 b b) -1/2) 2) (*.f64 (neg.f64 b) 1))
(+.f64 (-.f64 2 (exp.f64 (log1p.f64 (fma.f64 b (*.f64 b 1/2) b)))) 1)
(+.f64 (-.f64 2 (/.f64 b (/.f64 (-.f64 b (.f64 1/2 (.f64 b b))) b))) (/.f64 (pow.f64 (.f64 1/2 (.f64 b b)) 2) (-.f64 b (.f64 1/2 (.f64 b b)))))
(+.f64 (-.f64 (-.f64 2 b) (exp.f64 (log1p.f64 (.f64 1/2 (.f64 b b))))) 1)
(+.f64 (-.f64 (-.f64 2 (.f64 1/2 (.f64 b b))) (exp.f64 (log1p.f64 b))) 1)
(.f64 (-.f64 2 (fma.f64 b (.f64 b 1/2) b)) 1)
(.f64 1 (-.f64 2 (fma.f64 b (.f64 b 1/2) b)))
(.f64 (sqrt.f64 (-.f64 2 (fma.f64 b (.f64 b 1/2) b))) (sqrt.f64 (-.f64 2 (fma.f64 b (*.f64 b 1/2) b))))
(.f64 (cbrt.f64 (-.f64 2 (fma.f64 b (.f64 b 1/2) b))) (pow.f64 (cbrt.f64 (-.f64 2 (fma.f64 b (*.f64 b 1/2) b))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 2 (fma.f64 b (.f64 b 1/2) b))) 2) (cbrt.f64 (-.f64 2 (fma.f64 b (*.f64 b 1/2) b))))
(.f64 (-.f64 (pow.f64 (-.f64 2 b) 2) (pow.f64 (.f64 1/2 (.f64 b b)) 2)) (/.f64 1 (+.f64 (.f64 1/2 (*.f64 b b)) (-.f64 2 b))))
(.f64 (-.f64 (pow.f64 (-.f64 2 b) 3) (pow.f64 (.f64 1/2 (.f64 b b)) 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 2 b) 2) (.f64 (.f64 1/2 (.f64 b b)) (+.f64 (.f64 1/2 (.f64 b b)) (-.f64 2 b))))))
(.f64 (+.f64 (sqrt.f64 (-.f64 2 b)) (.f64 b (sqrt.f64 1/2))) (-.f64 (sqrt.f64 (-.f64 2 b)) (*.f64 b (sqrt.f64 1/2))))
(/.f64 (-.f64 4 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 2)) (+.f64 (fma.f64 b (.f64 b 1/2) b) 2))
(/.f64 (-.f64 4 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 2)) (/.f64 (+.f64 (fma.f64 b (.f64 b 1/2) b) 2) 1))
(/.f64 (-.f64 2 (fma.f64 b (*.f64 b 1/2) b)) 1)
(/.f64 1 (/.f64 1 (-.f64 2 (fma.f64 b (*.f64 b 1/2) b))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 b (.f64 b 1/2) b) 2) (-.f64 4 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 2))))
(/.f64 (sqrt.f64 (-.f64 2 (fma.f64 b (.f64 b 1/2) b))) (/.f64 1 (sqrt.f64 (-.f64 2 (fma.f64 b (.f64 b 1/2) b)))))
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 2))) (/.f64 (+.f64 (fma.f64 b (.f64 b 1/2) b) 2) (sqrt.f64 (-.f64 4 (pow.f64 (fma.f64 b (*.f64 b 1/2) b) 2)))))
(/.f64 (cbrt.f64 (-.f64 2 (fma.f64 b (.f64 b 1/2) b))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 2 (fma.f64 b (.f64 b 1/2) b))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (fma.f64 b (.f64 b 1/2) b))) 2) (/.f64 1 (cbrt.f64 (-.f64 2 (fma.f64 b (.f64 b 1/2) b)))))
(/.f64 (cbrt.f64 (-.f64 4 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 2))) (/.f64 (+.f64 (fma.f64 b (.f64 b 1/2) b) 2) (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 (fma.f64 b (*.f64 b 1/2) b) 2))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 2))) 2) (/.f64 (+.f64 (fma.f64 b (.f64 b 1/2) b) 2) (cbrt.f64 (-.f64 4 (pow.f64 (fma.f64 b (*.f64 b 1/2) b) 2)))))
(/.f64 (-.f64 (pow.f64 (-.f64 2 b) 2) (pow.f64 (.f64 1/2 (.f64 b b)) 2)) (+.f64 (.f64 1/2 (.f64 b b)) (-.f64 2 b)))
(/.f64 (-.f64 (pow.f64 (-.f64 2 b) 2) (pow.f64 (.f64 1/2 (.f64 b b)) 2)) (/.f64 1 (/.f64 1 (+.f64 (.f64 1/2 (.f64 b b)) (-.f64 2 b)))))
(/.f64 (+.f64 (.f64 1/2 (.f64 b b)) (-.f64 2 b)) (/.f64 (+.f64 (.f64 1/2 (.f64 b b)) (-.f64 2 b)) (-.f64 2 (fma.f64 b (*.f64 b 1/2) b))))
(/.f64 (-.f64 16 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 4)) (/.f64 (+.f64 (fma.f64 b (.f64 b 1/2) b) 2) (/.f64 1 (+.f64 (pow.f64 (fma.f64 b (*.f64 b 1/2) b) 2) 4))))
(/.f64 (-.f64 (pow.f64 (-.f64 2 b) 3) (pow.f64 (.f64 1/2 (.f64 b b)) 3)) (+.f64 (pow.f64 (-.f64 2 b) 2) (.f64 (.f64 1/2 (.f64 b b)) (+.f64 (.f64 1/2 (*.f64 b b)) (-.f64 2 b)))))
(/.f64 (-.f64 (pow.f64 (-.f64 2 b) 3) (pow.f64 (.f64 1/2 (.f64 b b)) 3)) (/.f64 1 (/.f64 1 (+.f64 (pow.f64 (-.f64 2 b) 2) (.f64 (.f64 1/2 (.f64 b b)) (+.f64 (.f64 1/2 (*.f64 b b)) (-.f64 2 b)))))))
(/.f64 (+.f64 (pow.f64 (-.f64 2 b) 2) (.f64 (.f64 1/2 (.f64 b b)) (+.f64 (.f64 1/2 (.f64 b b)) (-.f64 2 b)))) (/.f64 (+.f64 (pow.f64 (-.f64 2 b) 2) (.f64 (.f64 1/2 (.f64 b b)) (+.f64 (.f64 1/2 (.f64 b b)) (-.f64 2 b)))) (-.f64 2 (fma.f64 b (*.f64 b 1/2) b))))
(/.f64 (-.f64 64 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 6)) (/.f64 (+.f64 (fma.f64 b (.f64 b 1/2) b) 2) (/.f64 1 (+.f64 16 (.f64 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 2) (+.f64 (pow.f64 (fma.f64 b (*.f64 b 1/2) b) 2) 4))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 2 b) 2) (pow.f64 (.f64 1/2 (.f64 b b)) 2))) (/.f64 (+.f64 (.f64 1/2 (.f64 b b)) (-.f64 2 b)) (sqrt.f64 (-.f64 (pow.f64 (-.f64 2 b) 2) (pow.f64 (.f64 1/2 (.f64 b b)) 2)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 2 b) 3) (pow.f64 (.f64 1/2 (.f64 b b)) 3))) (/.f64 (+.f64 (pow.f64 (-.f64 2 b) 2) (.f64 (.f64 1/2 (.f64 b b)) (+.f64 (.f64 1/2 (.f64 b b)) (-.f64 2 b)))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 2 b) 3) (pow.f64 (.f64 1/2 (*.f64 b b)) 3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (-.f64 2 b) 2) (pow.f64 (.f64 1/2 (.f64 b b)) 2))) (cbrt.f64 (-.f64 (pow.f64 (-.f64 2 b) 2) (pow.f64 (.f64 1/2 (.f64 b b)) 2)))) (/.f64 (+.f64 (.f64 1/2 (.f64 b b)) (-.f64 2 b)) (cbrt.f64 (-.f64 (pow.f64 (-.f64 2 b) 2) (pow.f64 (.f64 1/2 (*.f64 b b)) 2)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (-.f64 2 b) 3) (pow.f64 (.f64 1/2 (.f64 b b)) 3))) (cbrt.f64 (-.f64 (pow.f64 (-.f64 2 b) 3) (pow.f64 (.f64 1/2 (.f64 b b)) 3)))) (/.f64 (+.f64 (pow.f64 (-.f64 2 b) 2) (.f64 (.f64 1/2 (.f64 b b)) (+.f64 (.f64 1/2 (.f64 b b)) (-.f64 2 b)))) (cbrt.f64 (-.f64 (pow.f64 (-.f64 2 b) 3) (pow.f64 (.f64 1/2 (.f64 b b)) 3)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 2 b) 2) (pow.f64 (.f64 1/2 (.f64 b b)) 2))) (neg.f64 (+.f64 (.f64 1/2 (.f64 b b)) (-.f64 2 b))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 2 b) 3) (pow.f64 (.f64 1/2 (.f64 b b)) 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 2 b) 2) (.f64 (.f64 1/2 (.f64 b b)) (+.f64 (.f64 1/2 (*.f64 b b)) (-.f64 2 b))))))
(/.f64 (+.f64 (sqrt.f64 (-.f64 2 b)) (.f64 b (sqrt.f64 1/2))) (/.f64 1 (-.f64 (sqrt.f64 (-.f64 2 b)) (.f64 b (sqrt.f64 1/2)))))
(/.f64 (-.f64 (pow.f64 (-.f64 2 b) 2) (.f64 (.f64 (.f64 b b) -1/2) (.f64 (.f64 b b) -1/2))) (+.f64 (.f64 1/2 (*.f64 b b)) (-.f64 2 b)))
(/.f64 (+.f64 (pow.f64 (-.f64 2 b) 3) (pow.f64 (.f64 (.f64 b b) -1/2) 3)) (+.f64 (pow.f64 (-.f64 2 b) 2) (-.f64 (.f64 (.f64 (.f64 b b) -1/2) (.f64 (.f64 b b) -1/2)) (.f64 (-.f64 2 b) (.f64 (.f64 b b) -1/2)))))
(/.f64 (-.f64 8 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 3)) (+.f64 4 (+.f64 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 2) (.f64 2 (fma.f64 b (.f64 b 1/2) b)))))
(pow.f64 (-.f64 2 (fma.f64 b (*.f64 b 1/2) b)) 1)
(pow.f64 (sqrt.f64 (-.f64 2 (fma.f64 b (*.f64 b 1/2) b))) 2)
(pow.f64 (cbrt.f64 (-.f64 2 (fma.f64 b (*.f64 b 1/2) b))) 3)
(pow.f64 (pow.f64 (-.f64 2 (fma.f64 b (*.f64 b 1/2) b)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 2 (fma.f64 b (*.f64 b 1/2) b)) 2))
(log.f64 (exp.f64 (-.f64 2 (fma.f64 b (*.f64 b 1/2) b))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 2 (fma.f64 b (*.f64 b 1/2) b)))))
(cbrt.f64 (pow.f64 (-.f64 2 (fma.f64 b (*.f64 b 1/2) b)) 3))
(expm1.f64 (log.f64 (-.f64 3 (fma.f64 b (*.f64 b 1/2) b))))
(exp.f64 (log.f64 (-.f64 2 (fma.f64 b (*.f64 b 1/2) b))))
(exp.f64 (.f64 (log.f64 (-.f64 2 (fma.f64 b (.f64 b 1/2) b))) 1))
(log1p.f64 (expm1.f64 (-.f64 2 (fma.f64 b (*.f64 b 1/2) b))))
(fma.f64 1 (-.f64 2 b) (.f64 (.f64 b b) -1/2))
(fma.f64 (sqrt.f64 (-.f64 2 b)) (sqrt.f64 (-.f64 2 b)) (.f64 (.f64 b b) -1/2))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 2 b)) 2) (cbrt.f64 (-.f64 2 b)) (.f64 (.f64 b b) -1/2))

Outputs
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 3) (pow.f64 b 2))
(+.f64 (pow.f64 b 3) (*.f64 b b))
(fma.f64 b b (pow.f64 b 3))
(+.f64 (*.f64 1/4 (pow.f64 b 4)) (+.f64 (pow.f64 b 3) (pow.f64 b 2)))
(+.f64 (fma.f64 1/4 (pow.f64 b 4) (pow.f64 b 3)) (*.f64 b b))
(fma.f64 1/4 (pow.f64 b 4) (fma.f64 b b (pow.f64 b 3)))
(+.f64 (*.f64 1/4 (pow.f64 b 4)) (+.f64 (pow.f64 b 3) (pow.f64 b 2)))
(+.f64 (fma.f64 1/4 (pow.f64 b 4) (pow.f64 b 3)) (*.f64 b b))
(fma.f64 1/4 (pow.f64 b 4) (fma.f64 b b (pow.f64 b 3)))
(*.f64 1/4 (pow.f64 b 4))
(+.f64 (*.f64 1/4 (pow.f64 b 4)) (pow.f64 b 3))
(fma.f64 1/4 (pow.f64 b 4) (pow.f64 b 3))
(+.f64 (*.f64 1/4 (pow.f64 b 4)) (+.f64 (pow.f64 b 3) (pow.f64 b 2)))
(+.f64 (fma.f64 1/4 (pow.f64 b 4) (pow.f64 b 3)) (*.f64 b b))
(fma.f64 1/4 (pow.f64 b 4) (fma.f64 b b (pow.f64 b 3)))
(+.f64 (*.f64 1/4 (pow.f64 b 4)) (+.f64 (pow.f64 b 3) (pow.f64 b 2)))
(+.f64 (fma.f64 1/4 (pow.f64 b 4) (pow.f64 b 3)) (*.f64 b b))
(fma.f64 1/4 (pow.f64 b 4) (fma.f64 b b (pow.f64 b 3)))
(*.f64 1/4 (pow.f64 b 4))
(+.f64 (*.f64 1/4 (pow.f64 b 4)) (pow.f64 b 3))
(fma.f64 1/4 (pow.f64 b 4) (pow.f64 b 3))
(+.f64 (*.f64 1/4 (pow.f64 b 4)) (+.f64 (pow.f64 b 3) (pow.f64 b 2)))
(+.f64 (fma.f64 1/4 (pow.f64 b 4) (pow.f64 b 3)) (*.f64 b b))
(fma.f64 1/4 (pow.f64 b 4) (fma.f64 b b (pow.f64 b 3)))
(+.f64 (*.f64 1/4 (pow.f64 b 4)) (+.f64 (pow.f64 b 3) (pow.f64 b 2)))
(+.f64 (fma.f64 1/4 (pow.f64 b 4) (pow.f64 b 3)) (*.f64 b b))
(fma.f64 1/4 (pow.f64 b 4) (fma.f64 b b (pow.f64 b 3)))
2
(+.f64 2 b)
(+.f64 b 2)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(.f64 b (.f64 b 1/2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (.f64 1/2 (.f64 b b)))
(fma.f64 b (*.f64 b 1/2) b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(.f64 b (.f64 b 1/2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (.f64 1/2 (.f64 b b)))
(fma.f64 b (*.f64 b 1/2) b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(fma.f64 b 1/2 (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (log.f64 2)))
(fma.f64 b 1/2 (fma.f64 1/8 (*.f64 b b) (log.f64 2)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/12 (pow.f64 b 3)))))
(fma.f64 1/2 b (+.f64 (fma.f64 1/8 (.f64 b b) (log.f64 2)) (.f64 (pow.f64 b 3) -1/12)))
(fma.f64 b 1/2 (fma.f64 1/8 (*.f64 b b) (fma.f64 (pow.f64 b 3) -1/12 (log.f64 2))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (log.f64 1/2))
(fma.f64 -2 (neg.f64 (log.f64 b)) (log.f64 1/2))
(+.f64 (log.f64 1/2) (+.f64 (.f64 -2 (log.f64 (/.f64 1 b))) (.f64 2 (/.f64 1 b))))
(+.f64 (log.f64 1/2) (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 1 b))))))
(+.f64 (/.f64 2 (*.f64 b b)) (+.f64 (log.f64 1/2) (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b))))
(+.f64 (log.f64 1/2) (+.f64 (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b)) (/.f64 2 (*.f64 b b))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 1 b)))))) (.f64 16/3 (/.f64 1 (pow.f64 b 3))))
(-.f64 (+.f64 (/.f64 2 (*.f64 b b)) (+.f64 (log.f64 1/2) (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b)))) (/.f64 16/3 (pow.f64 b 3)))
(+.f64 (/.f64 2 (*.f64 b b)) (+.f64 (log.f64 1/2) (-.f64 (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b)) (/.f64 16/3 (pow.f64 b 3)))))
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))
(fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2))
(+.f64 (log.f64 1/2) (+.f64 (.f64 2 (/.f64 1 b)) (.f64 -2 (log.f64 (/.f64 -1 b)))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 2 b) (*.f64 -2 (log.f64 (/.f64 -1 b)))))
(+.f64 (log.f64 1/2) (fma.f64 -2 (log.f64 (/.f64 -1 b)) (/.f64 2 b)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))))
(+.f64 (/.f64 2 (.f64 b b)) (+.f64 (/.f64 2 b) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 -1 b))))))
(+.f64 (/.f64 2 b) (+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2)) (/.f64 2 (*.f64 b b))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 -1 b)))))) (.f64 16/3 (/.f64 1 (pow.f64 b 3))))
(+.f64 (/.f64 2 (.f64 b b)) (-.f64 (+.f64 (/.f64 2 b) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 -1 b))))) (/.f64 16/3 (pow.f64 b 3))))
(+.f64 (+.f64 (/.f64 2 b) (/.f64 2 (*.f64 b b))) (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2)) (/.f64 16/3 (pow.f64 b 3))))
2
(+.f64 2 (*.f64 -1 b))
(-.f64 2 b)
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 b 2)) (.f64 -1 b)))
(fma.f64 (*.f64 b b) -1/2 (-.f64 2 b))
(-.f64 (fma.f64 b (*.f64 b -1/2) 2) b)
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 b 2)) (.f64 -1 b)))
(fma.f64 (*.f64 b b) -1/2 (-.f64 2 b))
(-.f64 (fma.f64 b (*.f64 b -1/2) 2) b)
(*.f64 -1/2 (pow.f64 b 2))
(.f64 b (.f64 b -1/2))
(+.f64 (.f64 -1/2 (pow.f64 b 2)) (.f64 -1 b))
(-.f64 (.f64 b (.f64 b -1/2)) b)
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 b 2)) (.f64 -1 b)))
(fma.f64 (*.f64 b b) -1/2 (-.f64 2 b))
(-.f64 (fma.f64 b (*.f64 b -1/2) 2) b)
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 b 2)) (.f64 -1 b)))
(fma.f64 (*.f64 b b) -1/2 (-.f64 2 b))
(-.f64 (fma.f64 b (*.f64 b -1/2) 2) b)
(*.f64 -1/2 (pow.f64 b 2))
(.f64 b (.f64 b -1/2))
(+.f64 (.f64 -1/2 (pow.f64 b 2)) (.f64 -1 b))
(-.f64 (.f64 b (.f64 b -1/2)) b)
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 b 2)) (.f64 -1 b)))
(fma.f64 (*.f64 b b) -1/2 (-.f64 2 b))
(-.f64 (fma.f64 b (*.f64 b -1/2) 2) b)
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 b 2)) (.f64 -1 b)))
(fma.f64 (*.f64 b b) -1/2 (-.f64 2 b))
(-.f64 (fma.f64 b (*.f64 b -1/2) 2) b)
(+.f64 (pow.f64 (.f64 1/2 (.f64 b b)) 2) (+.f64 (.f64 (pow.f64 b 3) 1/2) (.f64 b (fma.f64 b (*.f64 b 1/2) b))))
(+.f64 (pow.f64 (.f64 1/2 (.f64 b b)) 2) (fma.f64 b (fma.f64 b (.f64 b 1/2) b) (.f64 (pow.f64 b 3) 1/2)))
(pow.f64 (fma.f64 b (*.f64 b 1/2) b) 2)
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(fma.f64 (*.f64 b b) -1/2 (-.f64 2 b))
(-.f64 (fma.f64 b (*.f64 b -1/2) 2) b)
(/.f64 (-.f64 16 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 4)) (/.f64 (+.f64 (fma.f64 b (.f64 b 1/2) b) 2) (/.f64 1 (+.f64 (pow.f64 (fma.f64 b (*.f64 b 1/2) b) 2) 4))))
(/.f64 (-.f64 16 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 4)) (.f64 (+.f64 2 (fma.f64 b (.f64 b 1/2) b)) (+.f64 4 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 2))))
(/.f64 (/.f64 (-.f64 16 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 4)) (+.f64 b (fma.f64 1/2 (.f64 b b) 2))) (+.f64 4 (pow.f64 (fma.f64 b (*.f64 b 1/2) b) 2)))
(/.f64 (-.f64 (pow.f64 (-.f64 2 b) 3) (pow.f64 (.f64 1/2 (.f64 b b)) 3)) (+.f64 (pow.f64 (-.f64 2 b) 2) (.f64 (.f64 1/2 (.f64 b b)) (+.f64 (.f64 1/2 (*.f64 b b)) (-.f64 2 b)))))
(.f64 (-.f64 (pow.f64 (-.f64 2 b) 3) (.f64 1/8 (pow.f64 (.f64 b b) 3))) (/.f64 1 (+.f64 (pow.f64 (-.f64 2 b) 2) (.f64 1/2 (.f64 (.f64 b b) (fma.f64 1/2 (*.f64 b b) (-.f64 2 b)))))))
(/.f64 (fma.f64 (pow.f64 (.f64 b b) 3) -1/8 (pow.f64 (-.f64 2 b) 3)) (fma.f64 1/2 (.f64 (.f64 b b) (-.f64 (fma.f64 1/2 (.f64 b b) 2) b)) (pow.f64 (-.f64 2 b) 2)))
(/.f64 (-.f64 (pow.f64 (-.f64 2 b) 3) (pow.f64 (.f64 1/2 (.f64 b b)) 3)) (/.f64 1 (/.f64 1 (+.f64 (pow.f64 (-.f64 2 b) 2) (.f64 (.f64 1/2 (.f64 b b)) (+.f64 (.f64 1/2 (*.f64 b b)) (-.f64 2 b)))))))
(.f64 (-.f64 (pow.f64 (-.f64 2 b) 3) (.f64 1/8 (pow.f64 (.f64 b b) 3))) (/.f64 1 (+.f64 (pow.f64 (-.f64 2 b) 2) (.f64 1/2 (.f64 (.f64 b b) (fma.f64 1/2 (*.f64 b b) (-.f64 2 b)))))))
(/.f64 (fma.f64 (pow.f64 (.f64 b b) 3) -1/8 (pow.f64 (-.f64 2 b) 3)) (fma.f64 1/2 (.f64 (.f64 b b) (-.f64 (fma.f64 1/2 (.f64 b b) 2) b)) (pow.f64 (-.f64 2 b) 2)))
(/.f64 (+.f64 (pow.f64 (-.f64 2 b) 2) (.f64 (.f64 1/2 (.f64 b b)) (+.f64 (.f64 1/2 (.f64 b b)) (-.f64 2 b)))) (/.f64 (+.f64 (pow.f64 (-.f64 2 b) 2) (.f64 (.f64 1/2 (.f64 b b)) (+.f64 (.f64 1/2 (.f64 b b)) (-.f64 2 b)))) (-.f64 2 (fma.f64 b (*.f64 b 1/2) b))))
(fma.f64 (*.f64 b b) -1/2 (-.f64 2 b))
(-.f64 (fma.f64 b (*.f64 b -1/2) 2) b)
(/.f64 (-.f64 64 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 6)) (/.f64 (+.f64 (fma.f64 b (.f64 b 1/2) b) 2) (/.f64 1 (+.f64 16 (.f64 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 2) (+.f64 (pow.f64 (fma.f64 b (*.f64 b 1/2) b) 2) 4))))))
(/.f64 (-.f64 64 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 6)) (.f64 (+.f64 2 (fma.f64 b (.f64 b 1/2) b)) (+.f64 16 (.f64 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 2) (+.f64 4 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 2))))))
(/.f64 (/.f64 (-.f64 64 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 6)) (+.f64 b (fma.f64 1/2 (.f64 b b) 2))) (fma.f64 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 2) (+.f64 4 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 2)) 16))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 2 b) 2) (pow.f64 (.f64 1/2 (.f64 b b)) 2))) (/.f64 (+.f64 (.f64 1/2 (.f64 b b)) (-.f64 2 b)) (sqrt.f64 (-.f64 (pow.f64 (-.f64 2 b) 2) (pow.f64 (.f64 1/2 (.f64 b b)) 2)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 2 b) 2) (pow.f64 (.f64 1/2 (.f64 b b)) 2))) (fma.f64 1/2 (.f64 b b) (-.f64 2 b))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 2 b) 2) (pow.f64 (.f64 1/2 (.f64 b b)) 2))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 2 b) 2) (.f64 (pow.f64 b 4) -1/4))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 2 b) 2) (.f64 (pow.f64 b 4) -1/4))) (-.f64 (fma.f64 1/2 (.f64 b b) 2) b)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 2 b) 3) (pow.f64 (.f64 1/2 (.f64 b b)) 3))) (/.f64 (+.f64 (pow.f64 (-.f64 2 b) 2) (.f64 (.f64 1/2 (.f64 b b)) (+.f64 (.f64 1/2 (.f64 b b)) (-.f64 2 b)))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 2 b) 3) (pow.f64 (.f64 1/2 (*.f64 b b)) 3)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 2 b) 3) (.f64 1/8 (pow.f64 (.f64 b b) 3)))) (/.f64 (+.f64 (pow.f64 (-.f64 2 b) 2) (.f64 1/2 (.f64 (.f64 b b) (fma.f64 1/2 (.f64 b b) (-.f64 2 b))))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 2 b) 3) (.f64 1/8 (pow.f64 (.f64 b b) 3))))))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 b b) 3) -1/8 (pow.f64 (-.f64 2 b) 3))) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 b b) 3) -1/8 (pow.f64 (-.f64 2 b) 3))) (fma.f64 1/2 (.f64 (.f64 b b) (-.f64 (fma.f64 1/2 (.f64 b b) 2) b)) (pow.f64 (-.f64 2 b) 2))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (-.f64 2 b) 2) (pow.f64 (.f64 1/2 (.f64 b b)) 2))) (cbrt.f64 (-.f64 (pow.f64 (-.f64 2 b) 2) (pow.f64 (.f64 1/2 (.f64 b b)) 2)))) (/.f64 (+.f64 (.f64 1/2 (.f64 b b)) (-.f64 2 b)) (cbrt.f64 (-.f64 (pow.f64 (-.f64 2 b) 2) (pow.f64 (.f64 1/2 (*.f64 b b)) 2)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (-.f64 2 b) 2) (pow.f64 (.f64 1/2 (.f64 b b)) 2))) (/.f64 (/.f64 (fma.f64 1/2 (.f64 b b) (-.f64 2 b)) (cbrt.f64 (-.f64 (pow.f64 (-.f64 2 b) 2) (pow.f64 (.f64 1/2 (.f64 b b)) 2)))) (cbrt.f64 (-.f64 (pow.f64 (-.f64 2 b) 2) (pow.f64 (.f64 1/2 (*.f64 b b)) 2)))))
(.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 2 b) 2) (.f64 (pow.f64 b 4) -1/4))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 2 b) 2) (.f64 (pow.f64 b 4) -1/4))) (/.f64 (-.f64 (fma.f64 1/2 (.f64 b b) 2) b) (cbrt.f64 (+.f64 (pow.f64 (-.f64 2 b) 2) (*.f64 (pow.f64 b 4) -1/4))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (-.f64 2 b) 3) (pow.f64 (.f64 1/2 (.f64 b b)) 3))) (cbrt.f64 (-.f64 (pow.f64 (-.f64 2 b) 3) (pow.f64 (.f64 1/2 (.f64 b b)) 3)))) (/.f64 (+.f64 (pow.f64 (-.f64 2 b) 2) (.f64 (.f64 1/2 (.f64 b b)) (+.f64 (.f64 1/2 (.f64 b b)) (-.f64 2 b)))) (cbrt.f64 (-.f64 (pow.f64 (-.f64 2 b) 3) (pow.f64 (.f64 1/2 (.f64 b b)) 3)))))
(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (-.f64 2 b) 3) (.f64 1/8 (pow.f64 (.f64 b b) 3)))) (cbrt.f64 (-.f64 (pow.f64 (-.f64 2 b) 3) (.f64 1/8 (pow.f64 (.f64 b b) 3))))) (+.f64 (pow.f64 (-.f64 2 b) 2) (.f64 1/2 (.f64 (.f64 b b) (fma.f64 1/2 (.f64 b b) (-.f64 2 b)))))) (cbrt.f64 (-.f64 (pow.f64 (-.f64 2 b) 3) (.f64 1/8 (pow.f64 (.f64 b b) 3)))))
(.f64 (cbrt.f64 (fma.f64 (pow.f64 (.f64 b b) 3) -1/8 (pow.f64 (-.f64 2 b) 3))) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 (.f64 b b) 3) -1/8 (pow.f64 (-.f64 2 b) 3))) (/.f64 (fma.f64 1/2 (.f64 (.f64 b b) (-.f64 (fma.f64 1/2 (.f64 b b) 2) b)) (pow.f64 (-.f64 2 b) 2)) (cbrt.f64 (fma.f64 (pow.f64 (*.f64 b b) 3) -1/8 (pow.f64 (-.f64 2 b) 3))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 2 b) 2) (pow.f64 (.f64 1/2 (.f64 b b)) 2))) (neg.f64 (+.f64 (.f64 1/2 (.f64 b b)) (-.f64 2 b))))
(fma.f64 (*.f64 b b) -1/2 (-.f64 2 b))
(-.f64 (fma.f64 b (*.f64 b -1/2) 2) b)
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 2 b) 3) (pow.f64 (.f64 1/2 (.f64 b b)) 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 2 b) 2) (.f64 (.f64 1/2 (.f64 b b)) (+.f64 (.f64 1/2 (*.f64 b b)) (-.f64 2 b))))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (-.f64 2 b) 3) (.f64 1/8 (pow.f64 (.f64 b b) 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 2 b) 2) (.f64 1/2 (.f64 (.f64 b b) (fma.f64 1/2 (.f64 b b) (-.f64 2 b))))))))
(.f64 1 (/.f64 (fma.f64 (pow.f64 (.f64 b b) 3) -1/8 (pow.f64 (-.f64 2 b) 3)) (fma.f64 1/2 (.f64 (.f64 b b) (-.f64 (fma.f64 1/2 (*.f64 b b) 2) b)) (pow.f64 (-.f64 2 b) 2))))
(/.f64 (+.f64 (sqrt.f64 (-.f64 2 b)) (.f64 b (sqrt.f64 1/2))) (/.f64 1 (-.f64 (sqrt.f64 (-.f64 2 b)) (.f64 b (sqrt.f64 1/2)))))
(.f64 (+.f64 (.f64 b (sqrt.f64 1/2)) (sqrt.f64 (-.f64 2 b))) (-.f64 (sqrt.f64 (-.f64 2 b)) (*.f64 b (sqrt.f64 1/2))))
(.f64 (fma.f64 b (sqrt.f64 1/2) (sqrt.f64 (-.f64 2 b))) (-.f64 (sqrt.f64 (-.f64 2 b)) (.f64 b (sqrt.f64 1/2))))
(/.f64 (-.f64 (pow.f64 (-.f64 2 b) 2) (.f64 (.f64 (.f64 b b) -1/2) (.f64 (.f64 b b) -1/2))) (+.f64 (.f64 1/2 (*.f64 b b)) (-.f64 2 b)))
(fma.f64 (*.f64 b b) -1/2 (-.f64 2 b))
(-.f64 (fma.f64 b (*.f64 b -1/2) 2) b)
(/.f64 (+.f64 (pow.f64 (-.f64 2 b) 3) (pow.f64 (.f64 (.f64 b b) -1/2) 3)) (+.f64 (pow.f64 (-.f64 2 b) 2) (-.f64 (.f64 (.f64 (.f64 b b) -1/2) (.f64 (.f64 b b) -1/2)) (.f64 (-.f64 2 b) (.f64 (.f64 b b) -1/2)))))
(.f64 (-.f64 (pow.f64 (-.f64 2 b) 3) (.f64 1/8 (pow.f64 (.f64 b b) 3))) (/.f64 1 (+.f64 (pow.f64 (-.f64 2 b) 2) (.f64 1/2 (.f64 (.f64 b b) (fma.f64 1/2 (*.f64 b b) (-.f64 2 b)))))))
(/.f64 (fma.f64 (pow.f64 (.f64 b b) 3) -1/8 (pow.f64 (-.f64 2 b) 3)) (fma.f64 1/2 (.f64 (.f64 b b) (-.f64 (fma.f64 1/2 (.f64 b b) 2) b)) (pow.f64 (-.f64 2 b) 2)))
(/.f64 (-.f64 8 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 3)) (+.f64 4 (+.f64 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 2) (.f64 2 (fma.f64 b (.f64 b 1/2) b)))))
(/.f64 (-.f64 8 (pow.f64 (fma.f64 b (.f64 b 1/2) b) 3)) (+.f64 4 (.f64 (fma.f64 b (.f64 b 1/2) b) (+.f64 b (fma.f64 1/2 (.f64 b b) 2)))))
(pow.f64 (-.f64 2 (fma.f64 b (*.f64 b 1/2) b)) 1)
(fma.f64 (*.f64 b b) -1/2 (-.f64 2 b))
(-.f64 (fma.f64 b (*.f64 b -1/2) 2) b)
(pow.f64 (sqrt.f64 (-.f64 2 (fma.f64 b (*.f64 b 1/2) b))) 2)
(fma.f64 (*.f64 b b) -1/2 (-.f64 2 b))
(-.f64 (fma.f64 b (*.f64 b -1/2) 2) b)
(pow.f64 (cbrt.f64 (-.f64 2 (fma.f64 b (*.f64 b 1/2) b))) 3)
(fma.f64 (*.f64 b b) -1/2 (-.f64 2 b))
(-.f64 (fma.f64 b (*.f64 b -1/2) 2) b)
(pow.f64 (pow.f64 (-.f64 2 (fma.f64 b (*.f64 b 1/2) b)) 3) 1/3)
(fma.f64 (*.f64 b b) -1/2 (-.f64 2 b))
(-.f64 (fma.f64 b (*.f64 b -1/2) 2) b)
(sqrt.f64 (pow.f64 (-.f64 2 (fma.f64 b (*.f64 b 1/2) b)) 2))
(fabs.f64 (-.f64 (fma.f64 b (*.f64 b -1/2) 2) b))
(log.f64 (exp.f64 (-.f64 2 (fma.f64 b (*.f64 b 1/2) b))))
(fma.f64 (*.f64 b b) -1/2 (-.f64 2 b))
(-.f64 (fma.f64 b (*.f64 b -1/2) 2) b)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 2 (fma.f64 b (*.f64 b 1/2) b)))))
(fma.f64 (*.f64 b b) -1/2 (-.f64 2 b))
(-.f64 (fma.f64 b (*.f64 b -1/2) 2) b)
(cbrt.f64 (pow.f64 (-.f64 2 (fma.f64 b (*.f64 b 1/2) b)) 3))
(fma.f64 (*.f64 b b) -1/2 (-.f64 2 b))
(-.f64 (fma.f64 b (*.f64 b -1/2) 2) b)
(expm1.f64 (log.f64 (-.f64 3 (fma.f64 b (*.f64 b 1/2) b))))
(exp.f64 (log.f64 (-.f64 2 (fma.f64 b (*.f64 b 1/2) b))))
(fma.f64 (*.f64 b b) -1/2 (-.f64 2 b))
(-.f64 (fma.f64 b (*.f64 b -1/2) 2) b)
(exp.f64 (.f64 (log.f64 (-.f64 2 (fma.f64 b (.f64 b 1/2) b))) 1))
(fma.f64 (*.f64 b b) -1/2 (-.f64 2 b))
(-.f64 (fma.f64 b (*.f64 b -1/2) 2) b)
(log1p.f64 (expm1.f64 (-.f64 2 (fma.f64 b (*.f64 b 1/2) b))))
(fma.f64 (*.f64 b b) -1/2 (-.f64 2 b))
(-.f64 (fma.f64 b (*.f64 b -1/2) 2) b)
(fma.f64 1 (-.f64 2 b) (.f64 (.f64 b b) -1/2))
(fma.f64 (*.f64 b b) -1/2 (-.f64 2 b))
(-.f64 (fma.f64 b (*.f64 b -1/2) 2) b)
(fma.f64 (sqrt.f64 (-.f64 2 b)) (sqrt.f64 (-.f64 2 b)) (.f64 (.f64 b b) -1/2))
(fma.f64 (*.f64 b b) -1/2 (-.f64 2 b))
(-.f64 (fma.f64 b (*.f64 b -1/2) 2) b)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 2 b)) 2) (cbrt.f64 (-.f64 2 b)) (.f64 (.f64 b b) -1/2))
(fma.f64 (*.f64 b b) -1/2 (-.f64 2 b))
(-.f64 (fma.f64 b (*.f64 b -1/2) 2) b)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (log1p.f64 (exp.f64 b)))
✓	0.5b	(log1p.f64 (exp.f64 b))
✓	1.0b	(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)

Compiler

Compiled 21 to 11 computations (47.6% saved)

series14.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	b	@	inf	(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
0.0ms	b	@	0	(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
0.0ms	b	@	0	(+.f64 1 (log1p.f64 (exp.f64 b)))
0.0ms	b	@	inf	(+.f64 1 (log1p.f64 (exp.f64 b)))
0.0ms	b	@	-inf	(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)

rewrite71.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	57
1	189	33
2	2455	33

Stop Event

1×	node limit

Counts

3 → 114

Calls

Call 1

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

Outputs

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

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

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

simplify73.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1284×	`times-frac`
942×	`associate-+r+`
872×	`associate-/l*`
818×	`associate-+l+`
726×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	183	3838
1	430	3636
2	2004	3612

Stop Event

1×	node limit

Counts

150 → 113

Calls

Call 1

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

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

eval397.0ms (2.3%)

Compiler: Compiled 24381 to 16001 computations (34.4% saved)

prune163.0ms (1%)

Pruning

16 alts after pruning (9 fresh and 7 done)

	Pruned	Kept	Total
New	810	5	815
Fresh	2	4	6
Picked	1	0	1
Done	2	7	9
Total	815	16	831

Error

0.2b

Counts

831 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.2b	(/.f64 b (+.f64 2 (expm1.f64 a)))
	31.7b	(-.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))) 1)
	31.6b	(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
	31.3b	(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
✓	31.2b	(+.f64 (*.f64 1/2 b) (log.f64 2))
✓	56.4b	(*.f64 1/2 b)
	2.2b	(log1p.f64 (+.f64 (exp.f64 a) b))
	31.0b	(log1p.f64 (exp.f64 b))
✓	30.7b	(log1p.f64 (exp.f64 a))
✓	31.3b	(log.f64 (/.f64 (-.f64 4 (.f64 (+.f64 b (.f64 b (.f64 b 1/2))) (+.f64 b (.f64 b (.f64 b 1/2))))) (-.f64 (-.f64 2 b) (.f64 b (*.f64 b 1/2)))))
✓	31.3b	(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
	32.4b	(log.f64 (+.f64 b (+.f64 2 a)))
	31.4b	(log.f64 (+.f64 b 2))
✓	31.9b	(log.f64 2)
	49.0b	(exp.f64 (+.f64 (log.f64 b) (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 -1 (/.f64 (+.f64 1 (exp.f64 a)) b)))))
	31.4b	(exp.f64 (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))

Compiler

Compiled 164 to 129 computations (21.3% saved)

regimes51.0ms (0.3%)

Counts

32 → 1

Calls

Call 1

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

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

Calls

6 calls:

14.0ms	b
14.0ms	a
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
4.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(exp.f64 b)

Results

Error	Segments	Branch
0.7b	1	`a`
0.7b	1	`b`
0.7b	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
0.7b	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
0.7b	1	`(exp.f64 a)`
0.7b	1	`(exp.f64 b)`

Compiler

Compiled 305 to 198 computations (35.1% saved)

regimes45.0ms (0.3%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

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

Compiler

Compiled 238 to 165 computations (30.7% saved)

regimes69.0ms (0.4%)

Counts

24 → 2

Calls

Call 1

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

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

Calls

6 calls:

22.0ms	a
21.0ms	b
6.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
5.0ms	(exp.f64 b)

Results

Error	Segments	Branch
0.5b	2	`a`
1.1b	2	`b`
0.8b	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
0.8b	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
0.5b	2	`(exp.f64 a)`
1.1b	2	`(exp.f64 b)`

Compiler

Compiled 224 to 155 computations (30.8% saved)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	-93.9641884561382	-2.4846449543909572

Results

13.0ms

112×

body

256

valid

Compiler

Compiled 139 to 108 computations (22.3% saved)

regimes56.0ms (0.3%)

Counts

23 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Error	Segments	Branch
0.7b	2	`a`
1.1b	2	`b`
0.7b	2	`(exp.f64 a)`
1.1b	2	`(exp.f64 b)`

Compiler

Compiled 203 to 142 computations (30% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.5555051631207897e-41

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes76.0ms (0.4%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

4 calls:

47.0ms	b
16.0ms	a
4.0ms	(exp.f64 b)
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
1.2b	2	`a`
21.0b	4	`b`
1.2b	2	`(exp.f64 a)`
29.2b	2	`(exp.f64 b)`

Compiler

Compiled 152 to 111 computations (27% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.5555051631207897e-41

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes57.0ms (0.3%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

3 calls:

33.0ms	b
15.0ms	a
5.0ms	(exp.f64 a)

Results

Error	Segments	Branch
1.3b	2	`a`
21.3b	4	`b`
1.3b	2	`(exp.f64 a)`

Compiler

Compiled 140 to 103 computations (26.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.5555051631207897e-41

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes51.0ms (0.3%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

2 calls:

33.0ms	b
14.0ms	a

Results

Error	Segments	Branch
1.3b	2	`a`
21.5b	4	`b`

Compiler

Compiled 133 to 98 computations (26.3% saved)

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
14.0ms	-2.4846449543909572	-0.049166402190418707

Results

12.0ms

112×

body

256

valid

Compiler

Compiled 181 to 136 computations (24.9% saved)

regimes42.0ms (0.2%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

2 calls:

27.0ms	b
12.0ms	a

Results

Error	Segments	Branch
1.3b	2	`a`
21.5b	4	`b`

Compiler

Compiled 79 to 60 computations (24.1% saved)

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
14.0ms	-2.4846449543909572	-0.049166402190418707

Results

12.0ms

112×

body

256

valid

Compiler

Compiled 167 to 136 computations (18.6% saved)

regimes34.0ms (0.2%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	b
9.0ms	a

Results

Error	Segments	Branch
1.4b	2	`a`
21.5b	4	`b`

Compiler

Compiled 49 to 36 computations (26.5% saved)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	-2.4846449543909572	-0.049166402190418707

Results

13.0ms

112×

body

256

valid

Compiler

Compiled 139 to 108 computations (22.3% saved)

regimes14.0ms (0.1%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	a
4.0ms	b

Results

Error	Segments	Branch
26.6b	2	`a`
31.2b	1	`b`

Compiler

Compiled 33 to 25 computations (24.2% saved)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	-2.4846449543909572	-0.049166402190418707

Results

13.0ms

112×

body

256

valid

Compiler

Compiled 118 to 94 computations (20.3% saved)

regimes11.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	a
4.0ms	b

Results

Error	Segments	Branch
26.8b	2	`a`
31.4b	1	`b`

Compiler

Compiled 21 to 16 computations (23.8% saved)

bsearch33.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
33.0ms	-4339832.842453273	-93.9641884561382

Results

15.0ms	27×	body	1024	valid
10.0ms	80×	body	256	valid
5.0ms	20×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 117 to 98 computations (16.2% saved)

regimes9.0ms (0.1%)

Accuracy

Total -33.7b remaining (-123.5%)

Threshold costs -33.7b (-123.5%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	a
3.0ms	b

Results

Error	Segments	Branch
27.3b	2	`a`
31.9b	1	`b`

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch36.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
36.0ms	-4339832.842453273	-93.9641884561382

Results

15.0ms	26×	body	1024	valid
10.0ms	79×	body	256	valid
5.0ms	19×	body	512	valid
5.0ms	4×	body	2048	valid

Compiler

Compiled 101 to 90 computations (10.9% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

26×	`+-commutative`
6×	`*-commutative`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	465
1	83	465

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 a -36) (/.f64 b (+.f64 2 (expm1.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (+.f64 (exp.f64 a) b)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 a -1) (/.f64 b (+.f64 2 (expm1.f64 a))) (log.f64 (+.f64 b (+.f64 (+.f64 2 a) (.f64 b (.f64 b 1/2))))))
(if (<=.f64 a -3152519739159347/2251799813685248) (/.f64 b (+.f64 2 (expm1.f64 a))) (+.f64 (.f64 1/2 a) (+.f64 (.f64 1/2 b) (log.f64 2))))
(if (<=.f64 a -1) (/.f64 b (+.f64 2 (expm1.f64 a))) (log.f64 (+.f64 b (+.f64 2 a))))
(if (<=.f64 a -1) (*.f64 1/2 b) (log.f64 (+.f64 b (+.f64 2 a))))
(if (<=.f64 a -115) (*.f64 1/2 b) (log.f64 (+.f64 2 b)))
(if (<=.f64 a -106) (*.f64 1/2 b) (log.f64 2))
(*.f64 1/2 b)

Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(if (<=.f64 a -36) (/.f64 b (+.f64 2 (expm1.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (+.f64 (exp.f64 a) b)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 a -1) (/.f64 b (+.f64 2 (expm1.f64 a))) (log.f64 (+.f64 b (+.f64 (+.f64 2 a) (.f64 b (.f64 b 1/2))))))
(if (<=.f64 a -1) (/.f64 b (+.f64 2 (expm1.f64 a))) (log.f64 (+.f64 b (+.f64 (+.f64 a 2) (.f64 b (.f64 b 1/2))))))
(if (<=.f64 a -3152519739159347/2251799813685248) (/.f64 b (+.f64 2 (expm1.f64 a))) (+.f64 (.f64 1/2 a) (+.f64 (.f64 1/2 b) (log.f64 2))))
(if (<=.f64 a -3152519739159347/2251799813685248) (/.f64 b (+.f64 2 (expm1.f64 a))) (+.f64 (.f64 a 1/2) (+.f64 (.f64 b 1/2) (log.f64 2))))
(if (<=.f64 a -1) (/.f64 b (+.f64 2 (expm1.f64 a))) (log.f64 (+.f64 b (+.f64 2 a))))
(if (<=.f64 a -1) (/.f64 b (+.f64 2 (expm1.f64 a))) (log.f64 (+.f64 b (+.f64 a 2))))
(if (<=.f64 a -1) (*.f64 1/2 b) (log.f64 (+.f64 b (+.f64 2 a))))
(if (<=.f64 a -1) (*.f64 b 1/2) (log.f64 (+.f64 b (+.f64 a 2))))
(if (<=.f64 a -115) (*.f64 1/2 b) (log.f64 (+.f64 2 b)))
(if (<=.f64 a -115) (*.f64 b 1/2) (log.f64 (+.f64 b 2)))
(if (<=.f64 a -106) (*.f64 1/2 b) (log.f64 2))
(if (<=.f64 a -106) (*.f64 b 1/2) (log.f64 2))
(*.f64 1/2 b)
(*.f64 b 1/2)

Compiler

Compiled 196 to 143 computations (27% saved)

soundness159.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

1090×	`fma-def`
1004×	`unswap-sqr`
902×	`distribute-lft-in`
844×	`distribute-rgt-in`
796×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	2618
1	499	2362
2	1982	2350
3	7711	2350
0	465	10235
1	1289	9835
2	5290	9733

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 76 to 48 computations (36.8% saved)

end102.0ms (0.6%)

Compiler: Compiled 208 to 132 computations (36.5% saved)