Details

analyze194.0ms (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)

sample11.3s (64.4%)

Results

8.9s	7754×	body	8192	exit
1.2s	2017×	body	1024	valid
712.0ms	5055×	body	256	valid
347.0ms	959×	body	512	valid
185.0ms	225×	body	2048	valid

Bogosity

preprocess13.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

2×	`swap-a-b`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

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

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

Symmetry

(sort a b)

Compiler

Compiled 10 to 8 computations (20% saved)

simplify24.0ms (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

51.33%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	51.33%	(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
✓	0.02%	(+.f64 (exp.f64 a) (exp.f64 b))
✓	10.04%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series65.0ms (0.4%)

Counts

2 → 16

Calls

12 calls:

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

rewrite74.0ms (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))))))

simplify90.0ms (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)

prune20.0ms (0.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	107	8	115
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	8	116

Error

0.95%

Counts

116 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.54%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
	3.14%	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
	56.32%	(log1p.f64 (exp.f64 b))
▶	55.39%	(log1p.f64 (exp.f64 a))
	53.13%	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
▶	52.51%	(log.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))
▶	52.5%	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
▶	56.34%	(log.f64 (+.f64 1 (exp.f64 b)))

Compiler

Compiled 150 to 112 computations (25.3% saved)

localize28.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 14 computations (53.3% saved)

series45.0ms (0.3%)

Counts

2 → 28

Calls

12 calls:

Time	Variable		Point	Expression
14.0ms	a	@	-inf	(/.f64 b (+.f64 1 (exp.f64 a)))
13.0ms	a	@	inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
11.0ms	a	@	-inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
3.0ms	b	@	0	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
1.0ms	b	@	inf	(/.f64 b (+.f64 1 (exp.f64 a)))

rewrite92.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	229	48
2	3055	48

Stop Event

1×	node limit

Counts

2 → 141

Calls

Call 1

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

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

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

simplify137.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1338×	`associate-/r/`
1054×	`associate-+r+`
832×	`associate-+l+`
790×	`+-commutative`
536×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	415	9413
1	1171	8983
2	5197	8983

Stop Event

1×	node limit

Counts

169 → 231

Calls

Call 1

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

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

localize8.0ms (0%)

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

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.04%	(+.f64 1 (exp.f64 b))
✓	1.56%	(log.f64 (+.f64 1 (exp.f64 b)))

Compiler

Compiled 15 to 9 computations (40% saved)

series43.0ms (0.2%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	b	@	inf	(log.f64 (+.f64 1 (exp.f64 b)))
20.0ms	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))

rewrite94.0ms (0.5%)

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)))))

simplify82.0ms (0.5%)

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))

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(.f64 1/2 (.f64 b b))
✓	0.02%	(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))
✓	0.02%	(+.f64 b (.f64 1/2 (.f64 b b)))
✓	7.03%	(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)

series89.0ms (0.5%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
72.0ms	a	@	inf	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
13.0ms	a	@	-inf	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
1.0ms	a	@	0	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
0.0ms	b	@	inf	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
0.0ms	b	@	-inf	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))

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	100
1	299	88
2	4054	88

Stop Event

1×	node limit

Counts

4 → 176

Calls

Call 1

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

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

simplify143.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

248 → 309

Calls

Call 1

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

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

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))
✓	0.04%	(+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))
✓	7.03%	(log.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))

Compiler

Compiled 50 to 28 computations (44% saved)

series17.0ms (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)))))
6.0ms	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)))

rewrite107.0ms (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))) 2) (cbrt.f64 (log1p.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 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(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)))))

simplify132.0ms (0.8%)

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

eval453.0ms (2.6%)

Compiler: Compiled 28440 to 17437 computations (38.7% saved)

prune193.0ms (1.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	984	10	994
Fresh	2	1	3
Picked	1	0	1
Done	3	1	4
Total	990	12	1002

Error

0.95%

Counts

1002 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	41.34%	(/.f64 b (+.f64 1 (exp.f64 a)))
▶	57.09%	(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
▶	56.45%	(+.f64 (*.f64 1/2 b) (log.f64 2))
▶	3.13%	(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
	45.19%	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
	56.32%	(log1p.f64 (exp.f64 b))
✓	55.39%	(log1p.f64 (exp.f64 a))
	58.63%	(log.f64 (+.f64 b (+.f64 (+.f64 2 a) (.f64 b (.f64 b 1/2)))))
▶	56.8%	(log.f64 (+.f64 2 (+.f64 b (.f64 b (.f64 b 1/2)))))
	56.87%	(log.f64 (+.f64 2 b))
▶	57.32%	(log.f64 2)
	33.48%	(exp.f64 (log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))

Compiler

Compiled 233 to 176 computations (24.5% saved)

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
	0.01%	(/.f64 b (+.f64 1 (exp.f64 a)))
✓	0.07%	(expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))

Compiler

Compiled 47 to 25 computations (46.8% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite95.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 223

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 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simplify152.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

271 → 340

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(+.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))

rewrite59.0ms (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))))))

simplify56.0ms (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))

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 2 (+.f64 b (.f64 b (.f64 b 1/2))))
✓	0.02%	(+.f64 b (.f64 b (.f64 b 1/2)))
✓	0.03%	(log.f64 (+.f64 2 (+.f64 b (.f64 b (.f64 b 1/2)))))

Compiler

Compiled 39 to 26 computations (33.3% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite97.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1088×	`*-commutative`
958×	`associate-*r/`
844×	`distribute-lft-in`
822×	`distribute-rgt-in`
684×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	73
1	239	61
2	3140	61

Stop Event

1×	node limit

Counts

3 → 199

Calls

Call 1

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

Outputs

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

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

simplify148.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1192×	`associate-+r+`
1162×	`+-commutative`
752×	`associate-r`
626×	`associate-l`
512×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	546	11809
1	1569	11053
2	6897	11053

Stop Event

1×	node limit

Counts

235 → 343

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

localize23.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
	0.01%	(+.f64 (*.f64 1/2 b) (log.f64 2))
✓	0.02%	(.f64 (-.f64 1/2 (.f64 1/4 b)) a)

Compiler

Compiled 47 to 36 computations (23.4% saved)

series4.0ms (0%)

Counts

2 → 33

Calls

12 calls:

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

rewrite115.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1852×	`associate-*r/`
1520×	`associate-*l/`
342×	`add-sqr-sqrt`
330×	`pow1`
330×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	52
1	334	52
2	4419	52

Stop Event

1×	node limit

Counts

2 → 118

Calls

Call 1

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

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 a (*.f64 b -1/4)) (*.f64 a 1/2))))) (#(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 (*.f64 (*.f64 b -1/4) a) (*.f64 1/2 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 a (/.f64 (-.f64 1/2 (*.f64 b -1/4)) (-.f64 1/4 (*.f64 (*.f64 b b) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (/.f64 (+.f64 1/4 (+.f64 (*.f64 (*.f64 b b) 1/16) (*.f64 1/8 b))) (-.f64 1/8 (*.f64 (pow.f64 b 3) 1/64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (-.f64 1/4 (*.f64 (*.f64 b b) 1/16))) (-.f64 1/2 (*.f64 b -1/4)))))) (#(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 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simplify109.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1356×	`associate-/l*`
984×	`associate-+l+`
916×	`associate-+r+`
704×	`+-commutative`
660×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	364	9375
1	932	8141
2	3590	8097

Stop Event

1×	node limit

Counts

151 → 207

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

eval497.0ms (2.8%)

Compiler: Compiled 27891 to 18775 computations (32.7% saved)

prune225.0ms (1.3%)

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	1067	7	1074
Fresh	2	4	6
Picked	1	0	1
Done	1	4	5
Total	1071	15	1086

Error

0.95%

Counts

1086 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	41.34%	(/.f64 b (+.f64 1 (exp.f64 a)))
	57.78%	(-.f64 (+.f64 (+.f64 (.f64 (+.f64 1/2 (.f64 b -1/4)) a) (log.f64 2)) (exp.f64 (log1p.f64 (*.f64 1/2 b)))) 1)
▶	96.33%	(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (*.f64 1/2 b))
✓	56.45%	(+.f64 (*.f64 1/2 b) (log.f64 2))
▶	57.68%	(+.f64 (*.f64 1/2 a) (log.f64 2))
▶	2.74%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)))) (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))))
	45.19%	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
	94.63%	(.f64 b (+.f64 1/2 (.f64 a -1/4)))
▶	87.04%	(*.f64 1/2 b)
▶	56.32%	(log1p.f64 (exp.f64 b))
✓	55.39%	(log1p.f64 (exp.f64 a))
✓	56.8%	(log.f64 (+.f64 2 (+.f64 b (.f64 b (.f64 b 1/2)))))
	56.87%	(log.f64 (+.f64 2 b))
✓	57.32%	(log.f64 2)
	56.74%	(exp.f64 (log.f64 (fma.f64 1/2 b (log.f64 2))))

Compiler

Compiled 283 to 218 computations (23% saved)

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.41%	(/.f64 1 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))))
✓	0.56%	(/.f64 (/.f64 1 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)))) (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)))
✓	0.88%	(cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))
✓	0.94%	(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)))

Compiler

Compiled 113 to 67 computations (40.7% saved)

series27.0ms (0.2%)

Counts

4 → 60

Calls

24 calls:

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

rewrite98.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1588×	`associate-/l*`
1088×	`associate-/r/`
744×	`associate-/l/`
556×	`distribute-rgt-in`
516×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	140
1	276	92
2	3736	92

Stop Event

1×	node limit

Counts

4 → 240

Calls

Call 1

Inputs
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)))
(cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))
(/.f64 (/.f64 1 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)))) (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)))
(/.f64 1 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) (/.f64 1 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1/6) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 4)) (/.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))) 2) (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))) 2) (/.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (/.f64 (cbrt.f64 (.f64 b b)) (cbrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (/.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (cbrt.f64 (pow.f64 b -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (/.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (/.f64 1 (cbrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (/.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 (pow.f64 b -1) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (/.f64 (cbrt.f64 b) (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (cbrt.f64 (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))) (/.f64 -1 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 4))) (/.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 4))) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (cbrt.f64 (.f64 b b)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 2))) (/.f64 -1 (sqrt.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 -1 (exp.f64 a))) (.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (cbrt.f64 (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 4))) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 4)))) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (cbrt.f64 (+.f64 1 (exp.f64 a)))) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (cbrt.f64 (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) (cbrt.f64 (+.f64 1 (exp.f64 a))))) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (cbrt.f64 (-.f64 -1 (exp.f64 a)))) (cbrt.f64 (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (neg.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))))) (neg.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))))) (sqrt.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (neg.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) (neg.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))))) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))))) (cbrt.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (.f64 1/3 (-.f64 (log1p.f64 (exp.f64 a)) (log.f64 b)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)))))))

simplify123.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1150×	`associate-r`
894×	`*-commutative`
846×	`associate-l`
634×	`associate-/l*`
548×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	754	14478
1	2006	13868

Stop Event

1×	node limit

Counts

300 → 410

Calls

Call 1

Inputs
(*.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) (cbrt.f64 4))
(+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) (cbrt.f64 4)) (.f64 4/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 b 14)) 1/9) (.f64 a (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4) 2)) 1/3)))))
(+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) (cbrt.f64 4)) (+.f64 (.f64 4/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 b 14)) 1/9) (.f64 a (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4) 2)) 1/3)))) (.f64 1/3 (.f64 (/.f64 (.f64 (-.f64 (.f64 3 (/.f64 1 (pow.f64 b 2))) (.f64 16/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 b 34)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 4)) 1/3)))) (pow.f64 a 2)) (pow.f64 (cbrt.f64 4) 2)) (pow.f64 (*.f64 1 (pow.f64 b 4)) 1/3)))))
(+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) (cbrt.f64 4)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 b 4)) 1/3) (/.f64 (.f64 (pow.f64 a 3) (-.f64 (.f64 5/3 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 64/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 4) 2)))) (.f64 8/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 b 8)) 1/9) (.f64 (-.f64 (.f64 3 (/.f64 1 (pow.f64 b 2))) (.f64 16/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 b 34)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 4)) 1/3)))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4) 5)) 1/3))))))) (pow.f64 (cbrt.f64 4) 2)))) (+.f64 (.f64 4/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 b 14)) 1/9) (.f64 a (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4) 2)) 1/3)))) (.f64 1/3 (.f64 (/.f64 (.f64 (-.f64 (.f64 3 (/.f64 1 (pow.f64 b 2))) (.f64 16/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 b 34)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 4)) 1/3)))) (pow.f64 a 2)) (pow.f64 (cbrt.f64 4) 2)) (pow.f64 (.f64 1 (pow.f64 b 4)) 1/3))))))
(pow.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2)) 1/3)
(pow.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2)) 1/3)
(pow.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2)) 1/3)
(pow.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2)) 1/3)
(pow.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2)) 1/3)
(pow.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2)) 1/3)
(pow.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2)) 1/3)
(pow.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2)) 1/3)
(*.f64 (pow.f64 (/.f64 1 b) 1/3) (cbrt.f64 2))
(+.f64 (.f64 (pow.f64 (/.f64 1 b) 1/3) (cbrt.f64 2)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 b 7)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) a))))
(+.f64 (.f64 (pow.f64 (/.f64 1 b) 1/3) (cbrt.f64 2)) (+.f64 (.f64 1/3 (.f64 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 b)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 b 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3)))) (pow.f64 a 2)) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (.f64 1 (pow.f64 b 2)) 1/3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 b 7)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) a)))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 b 2)) 1/3) (/.f64 (.f64 (pow.f64 a 3) (-.f64 (.f64 1/6 (/.f64 1 b)) (+.f64 (.f64 2/3 (.f64 (-.f64 (.f64 1/2 (/.f64 1 b)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 b 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3)))) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 b 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3)))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 2) 2))))))) (pow.f64 (cbrt.f64 2) 2)))) (+.f64 (.f64 (pow.f64 (/.f64 1 b) 1/3) (cbrt.f64 2)) (+.f64 (.f64 1/3 (.f64 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 b)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 b 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3)))) (pow.f64 a 2)) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (.f64 1 (pow.f64 b 2)) 1/3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 b 7)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) a))))))
(pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1/3)
(pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1/3)
(pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1/3)
(pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1/3)
(pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1/3)
(pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1/3)
(pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1/3)
(pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1/3)
(*.f64 1/2 b)
(+.f64 (.f64 1/2 b) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/16 b) (+.f64 (.f64 1/24 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (.f64 a b)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(.f64 (pow.f64 (.f64 1 (pow.f64 b 2)) 1/3) (cbrt.f64 1/4))
(+.f64 (.f64 (pow.f64 (.f64 1 (pow.f64 b 2)) 1/3) (cbrt.f64 1/4)) (.f64 -1/12 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 14)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3) a))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3) (/.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/48 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 34)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (+.f64 (.f64 -1/4 (pow.f64 b 2)) (.f64 3/16 (pow.f64 b 2))))) (pow.f64 (cbrt.f64 1/4) 2)))) (+.f64 (.f64 (pow.f64 (.f64 1 (pow.f64 b 2)) 1/3) (cbrt.f64 1/4)) (.f64 -1/12 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 14)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3) a)))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3) (/.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/6 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 8)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)) 1/3) (+.f64 (.f64 -1/4 (pow.f64 b 2)) (+.f64 (.f64 1/48 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 34)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (.f64 3/16 (pow.f64 b 2))))))) (+.f64 (.f64 -1 (+.f64 (.f64 -1/4 (pow.f64 b 2)) (.f64 3/16 (pow.f64 b 2)))) (+.f64 (.f64 -3/16 (pow.f64 b 2)) (+.f64 (.f64 5/48 (pow.f64 b 2)) (.f64 -1/1728 (.f64 (pow.f64 (.f64 1 (pow.f64 b 14)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))))))))) (pow.f64 (cbrt.f64 1/4) 2)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3) (/.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/48 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 34)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (+.f64 (.f64 -1/4 (pow.f64 b 2)) (.f64 3/16 (pow.f64 b 2))))) (pow.f64 (cbrt.f64 1/4) 2)))) (+.f64 (.f64 (pow.f64 (.f64 1 (pow.f64 b 2)) 1/3) (cbrt.f64 1/4)) (.f64 -1/12 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 14)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3) a))))))
(pow.f64 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) 1/3)
(pow.f64 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) 1/3)
(pow.f64 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) 1/3)
(pow.f64 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) 1/3)
(pow.f64 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) 1/3)
(pow.f64 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) 1/3)
(pow.f64 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) 1/3)
(pow.f64 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) 1/3)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 2))) 1)
(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2))
(/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 4))))
(/.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 2) 1)
(/.f64 (sqrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) (/.f64 1 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1/6)))
(/.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1/6) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
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(+.f64 (.f64 1 (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (.f64 (*.f64 (exp.f64 a) (expm1.f64 a)) (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3)))))
(+.f64 (.f64 (.f64 (exp.f64 a) (expm1.f64 a)) (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (*.f64 1 (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) 1)
(*.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 b (/.f64 1 (+.f64 1 (exp.f64 a))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1)
(*.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2))
(*.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) (/.f64 1 (neg.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)))))
(*.f64 -1 (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 1 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1/6)) (/.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))))
(*.f64 (/.f64 b 1) (/.f64 1 (+.f64 1 (exp.f64 a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)))
(.f64 (/.f64 1 (/.f64 (+.f64 1 (exp.f64 a)) (cbrt.f64 (.f64 b b)))) (cbrt.f64 b))
(.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 a)))) (.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2) (cbrt.f64 b)))
(*.f64 (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))
(*.f64 (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))) (-.f64 (pow.f64 (exp.f64 a) 2) (expm1.f64 a)))
(*.f64 (/.f64 -1 (/.f64 (+.f64 1 (exp.f64 a)) b)) -1)
(*.f64 (/.f64 1 (neg.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)))) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) b)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))) (/.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) 2) (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1/6)) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1/6)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))) 2)) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (/.f64 b (hypot.f64 1 (sqrt.f64 (exp.f64 a)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 1 (exp.f64 a))))
(*.f64 (/.f64 (sqrt.f64 b) (+.f64 1 (exp.f64 a))) (sqrt.f64 b))
(*.f64 (/.f64 (sqrt.f64 b) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(.f64 (/.f64 (cbrt.f64 (.f64 b b)) 1) (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))))
(.f64 (/.f64 (cbrt.f64 (.f64 b b)) (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (/.f64 (cbrt.f64 b) (hypot.f64 1 (sqrt.f64 (exp.f64 a)))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)))
(.f64 (/.f64 (cbrt.f64 (.f64 b b)) (+.f64 1 (exp.f64 a))) (cbrt.f64 b))
(.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (.f64 b (-.f64 1 (exp.f64 a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2) (neg.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))))) (neg.f64 (cbrt.f64 b)))
(*.f64 (/.f64 1 (-.f64 -1 (exp.f64 a))) (neg.f64 b))
(.f64 (/.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (cbrt.f64 (.f64 b b)))
(.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (.f64 b (-.f64 (pow.f64 (exp.f64 a) 2) (expm1.f64 a))))
(.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 2) (cbrt.f64 (+.f64 1 (exp.f64 a))))) (cbrt.f64 b))
(.f64 (/.f64 1 (.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (pow.f64 b -1))) (-.f64 1 (exp.f64 a)))
(.f64 (/.f64 1 (.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (pow.f64 b -1))) (-.f64 (pow.f64 (exp.f64 a) 2) (expm1.f64 a)))
(.f64 (/.f64 1 (.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) 1)) (*.f64 (-.f64 1 (exp.f64 a)) b))
(.f64 (/.f64 1 (.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) 1)) (*.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (expm1.f64 a)) b))
(*.f64 (/.f64 1 (neg.f64 (-.f64 -1 (exp.f64 a)))) (neg.f64 (neg.f64 b)))
(*.f64 (/.f64 b (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (neg.f64 (-.f64 1 (exp.f64 a))))
(*.f64 (/.f64 b (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (expm1.f64 a))))
(*.f64 (/.f64 b (-.f64 (pow.f64 (exp.f64 a) 2) 1)) (expm1.f64 a))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2) (cbrt.f64 (-.f64 -1 (exp.f64 a)))) (cbrt.f64 (neg.f64 b)))
(.f64 (/.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) (cbrt.f64 (+.f64 1 (exp.f64 a))))) (cbrt.f64 b))
(*.f64 (/.f64 (neg.f64 b) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (-.f64 1 (exp.f64 a)))
(*.f64 (/.f64 (neg.f64 b) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (-.f64 (pow.f64 (exp.f64 a) 2) (expm1.f64 a)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) (neg.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))))) (cbrt.f64 b))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))))) (sqrt.f64 (cbrt.f64 b)))
(*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))))) (cbrt.f64 (cbrt.f64 b)))
(*.f64 (/.f64 (/.f64 b 1) 1) (/.f64 1 (+.f64 1 (exp.f64 a))))
(*.f64 (/.f64 (/.f64 b 1) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))
(*.f64 (/.f64 (/.f64 b 1) (+.f64 1 (pow.f64 (exp.f64 a) 3))) (-.f64 (pow.f64 (exp.f64 a) 2) (expm1.f64 a)))
(*.f64 (/.f64 (/.f64 b 1) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (neg.f64 (-.f64 1 (exp.f64 a))))
(*.f64 (/.f64 (/.f64 b 1) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (expm1.f64 a))))
(*.f64 (/.f64 (/.f64 b 1) (-.f64 (pow.f64 (exp.f64 a) 2) 1)) (expm1.f64 a))
(*.f64 (/.f64 (/.f64 b (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (sqrt.f64 (-.f64 1 (exp.f64 a))))
(*.f64 (/.f64 (/.f64 b (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (expm1.f64 a))))
(*.f64 (/.f64 (/.f64 b (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))))
(*.f64 (/.f64 (/.f64 b (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (expm1.f64 a))))
(pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -1)
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1)
(pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3)
(pow.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2)
(pow.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) 1/3)
(neg.f64 (/.f64 -1 (/.f64 (+.f64 1 (exp.f64 a)) b)))
(sqrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))
(log.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
(cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3))
(cbrt.f64 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))
(expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(exp.f64 (log.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (*.f64 (log.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 1))
(log1p.f64 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2) 1)
(*.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) -1)
(*.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (cbrt.f64 (+.f64 1 (exp.f64 a)))) (cbrt.f64 b))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (cbrt.f64 (.f64 b b)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))) 2) -1))
(.f64 (/.f64 1 (.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) (cbrt.f64 (+.f64 1 (exp.f64 a))))) (cbrt.f64 b))
(*.f64 (/.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (cbrt.f64 (-.f64 -1 (exp.f64 a)))) (cbrt.f64 (neg.f64 b)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (neg.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))))) (neg.f64 (cbrt.f64 b)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))))) (sqrt.f64 (cbrt.f64 b)))
(*.f64 (/.f64 (neg.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) (neg.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))))) (cbrt.f64 b))
(*.f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))))) (cbrt.f64 (cbrt.f64 b)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 2) -1)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2) 1)
(pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) 3)
(pow.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) 1/3)
(sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 2) -2))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2))))
(cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)))
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)))
(exp.f64 (.f64 (.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 (exp.f64 a)) (log.f64 b)))) -1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)))

Outputs
(*.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) (cbrt.f64 4))
(.f64 (cbrt.f64 (/.f64 1 (.f64 b b))) (cbrt.f64 4))
(+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) (cbrt.f64 4)) (.f64 4/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 b 14)) 1/9) (.f64 a (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4) 2)) 1/3)))))
(fma.f64 (cbrt.f64 (/.f64 1 (.f64 b b))) (cbrt.f64 4) (.f64 4/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18)) (*.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 4) 2)))))))
(fma.f64 4/3 (.f64 a (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 4) 2))) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18)))) (.f64 (cbrt.f64 (/.f64 1 (*.f64 b b))) (cbrt.f64 4)))
(+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) (cbrt.f64 4)) (+.f64 (.f64 4/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 b 14)) 1/9) (.f64 a (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4) 2)) 1/3)))) (.f64 1/3 (.f64 (/.f64 (.f64 (-.f64 (.f64 3 (/.f64 1 (pow.f64 b 2))) (.f64 16/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 b 34)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 4)) 1/3)))) (pow.f64 a 2)) (pow.f64 (cbrt.f64 4) 2)) (pow.f64 (*.f64 1 (pow.f64 b 4)) 1/3)))))
(fma.f64 (cbrt.f64 (/.f64 1 (.f64 b b))) (cbrt.f64 4) (fma.f64 4/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18)) (.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 4) 2))))) (.f64 1/3 (.f64 (/.f64 (+.f64 (/.f64 3 (.f64 b b)) (.f64 -16/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 34)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 34)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 4)))))) (/.f64 (pow.f64 (cbrt.f64 4) 2) (*.f64 a a))) (cbrt.f64 (pow.f64 b 4))))))
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(.f64 (cbrt.f64 (-.f64 1 (exp.f64 a))) (/.f64 b (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(*.f64 (cbrt.f64 (-.f64 1 (exp.f64 a))) (/.f64 (/.f64 b (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 a a))))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(*.f64 (/.f64 (/.f64 b (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (expm1.f64 a))))
(.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (expm1.f64 a))) (/.f64 b (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(.f64 (cbrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))) (/.f64 b (.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))))))
(pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -1)
(/.f64 b (+.f64 1 (exp.f64 a)))
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1)
(/.f64 b (+.f64 1 (exp.f64 a)))
(pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3)
(/.f64 b (+.f64 1 (exp.f64 a)))
(pow.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2)
(/.f64 b (+.f64 1 (exp.f64 a)))
(pow.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) 1/3)
(/.f64 b (+.f64 1 (exp.f64 a)))
(neg.f64 (/.f64 -1 (/.f64 (+.f64 1 (exp.f64 a)) b)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(sqrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))
(fabs.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3))
(/.f64 b (+.f64 1 (exp.f64 a)))
(cbrt.f64 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(exp.f64 (log.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(exp.f64 (*.f64 (log.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 1))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log1p.f64 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)
(*.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)
(*.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) 2))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) -1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)
(*.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 4))))
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 4)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (cbrt.f64 (+.f64 1 (exp.f64 a)))) (cbrt.f64 b))
(*.f64 (cbrt.f64 b) (/.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (cbrt.f64 (.f64 b b)))
(.f64 (cbrt.f64 (.f64 b b)) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(/.f64 (cbrt.f64 (*.f64 b b)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))) 2) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 4))) (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))) 2)))
(.f64 (/.f64 1 (.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) (cbrt.f64 (+.f64 1 (exp.f64 a))))) (cbrt.f64 b))
(/.f64 (cbrt.f64 b) (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(/.f64 (/.f64 (cbrt.f64 b) (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))) (cbrt.f64 (+.f64 1 (exp.f64 a))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (cbrt.f64 (-.f64 -1 (exp.f64 a)))) (cbrt.f64 (neg.f64 b)))
(*.f64 (cbrt.f64 (neg.f64 b)) (/.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (cbrt.f64 (-.f64 -1 (exp.f64 a)))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (neg.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))))) (neg.f64 (cbrt.f64 b)))
(*.f64 (cbrt.f64 b) (/.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))))) (sqrt.f64 (cbrt.f64 b)))
(*.f64 (sqrt.f64 (cbrt.f64 b)) (/.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))))))
(/.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))) (sqrt.f64 (cbrt.f64 b))))
(*.f64 (/.f64 (neg.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) (neg.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))))) (cbrt.f64 b))
(*.f64 (cbrt.f64 b) (/.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))))) (cbrt.f64 (cbrt.f64 b)))
(.f64 (cbrt.f64 (cbrt.f64 b)) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) (.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))) (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)))))
(.f64 (cbrt.f64 (cbrt.f64 b)) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) (.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))))))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 2) -1)
(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 2))
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)
(pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) 3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)
(pow.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) 1/3)
(cbrt.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))
(sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 2) -2))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2))))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)
(cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))
(cbrt.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)
(exp.f64 (.f64 (.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 (exp.f64 a)) (log.f64 b)))) -1))
(pow.f64 (exp.f64 (*.f64 2/3 (-.f64 (log1p.f64 (exp.f64 a)) (log.f64 b)))) -1)
(exp.f64 (*.f64 -2/3 (-.f64 (log1p.f64 (exp.f64 a)) (log.f64 b))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)) 1))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -2)

localize3.0ms (0%)

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

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.02%	(.f64 (-.f64 1/2 (.f64 1/4 b)) a)

Compiler

Compiled 35 to 25 computations (28.6% saved)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (*.f64 1/2 a) (log.f64 2))

Compiler

Compiled 16 to 13 computations (18.8% saved)

series0.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

rewrite59.0ms (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 a) (log.f64 2))

Outputs

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

simplify56.0ms (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 a)
(*.f64 1/2 a)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 a (log.f64 2)))) 1)
(-.f64 (/.f64 (.f64 1/4 (.f64 a a)) (-.f64 (.f64 1/2 a) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (.f64 1/2 a) (log.f64 2))))
(*.f64 (fma.f64 1/2 a (log.f64 2)) 1)
(*.f64 1 (fma.f64 1/2 a (log.f64 2)))
(*.f64 (sqrt.f64 (fma.f64 1/2 a (log.f64 2))) (sqrt.f64 (fma.f64 1/2 a (log.f64 2))))
(*.f64 (cbrt.f64 (fma.f64 1/2 a (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 a (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 a (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 a (log.f64 2))))
(.f64 (-.f64 (.f64 1/4 (.f64 a a)) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (.f64 1/2 a) (log.f64 2))))
(.f64 (+.f64 (.f64 1/8 (pow.f64 a 3)) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (.f64 1/4 (.f64 a a)) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 1/2 a))))))
(/.f64 1 (/.f64 (-.f64 (.f64 1/2 a) (log.f64 2)) (-.f64 (.f64 1/4 (*.f64 a a)) (pow.f64 (log.f64 2) 2))))
(/.f64 1 (/.f64 (+.f64 (.f64 1/4 (.f64 a a)) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 1/2 a)))) (+.f64 (*.f64 1/8 (pow.f64 a 3)) (pow.f64 (log.f64 2) 3))))
(/.f64 (-.f64 (.f64 1/4 (.f64 a a)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 a) (log.f64 2)))
(/.f64 (+.f64 (.f64 1/8 (pow.f64 a 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (.f64 1/4 (.f64 a a)) (.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 a)))))
(/.f64 (+.f64 (.f64 1/8 (pow.f64 a 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (.f64 1/4 (.f64 a a)) (.f64 1/2 (*.f64 a (log.f64 2))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (.f64 1/4 (.f64 a a))) (-.f64 (log.f64 2) (*.f64 1/2 a)))
(/.f64 (neg.f64 (-.f64 (.f64 1/4 (.f64 a a)) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 1/2 a) (log.f64 2))))
(/.f64 (neg.f64 (+.f64 (.f64 1/8 (pow.f64 a 3)) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (.f64 1/4 (.f64 a a)) (.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 a))))))
(pow.f64 (fma.f64 1/2 a (log.f64 2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/2 a (log.f64 2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/2 a (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) a)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 a (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 a (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 1/2 a (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 a (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/2 a (log.f64 2))))
(fma.f64 1/2 a (log.f64 2))
(fma.f64 a 1/2 (log.f64 2))
(fma.f64 1 (*.f64 1/2 a) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/2 a))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 a))
(fma.f64 (sqrt.f64 (.f64 1/2 a)) (sqrt.f64 (.f64 1/2 a)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 a))
(fma.f64 (cbrt.f64 (.f64 1/4 (.f64 a a))) (cbrt.f64 (*.f64 1/2 a)) (log.f64 2))

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.53%	(log1p.f64 (exp.f64 b))

Compiler

Compiled 8 to 4 computations (50% saved)

series12.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite49.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1072×	`associate-r`
840×	`add-sqr-sqrt`
830×	`*-un-lft-identity`
784×	`pow1`
766×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	95	9
2	1063	9

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify60.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

36 → 43

Calls

Call 1

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

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

eval422.0ms (2.4%)

Compiler: Compiled 26142 to 17173 computations (34.3% saved)

prune173.0ms (1%)

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	770	5	775
Fresh	1	5	6
Picked	0	1	1
Done	2	6	8
Total	773	17	790

Error

0.95%

Counts

790 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	41.34%	(/.f64 b (+.f64 1 (exp.f64 a)))
	57.78%	(-.f64 (+.f64 (+.f64 (.f64 (+.f64 1/2 (.f64 b -1/4)) a) (log.f64 2)) (exp.f64 (log1p.f64 (*.f64 1/2 b)))) 1)
✓	56.45%	(+.f64 (*.f64 1/2 b) (log.f64 2))
	96.34%	(+.f64 (.f64 1/2 a) (.f64 1/2 b))
✓	57.68%	(+.f64 (*.f64 1/2 a) (log.f64 2))
	50.36%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)))) (log.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))))))
	13.87%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (/.f64 1 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 4))) (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))))
	52.61%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (/.f64 1 (log.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 2)))) (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))))
	45.19%	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (log.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
	94.63%	(.f64 b (+.f64 1/2 (.f64 a -1/4)))
✓	87.04%	(*.f64 1/2 b)
✓	56.32%	(log1p.f64 (exp.f64 b))
✓	55.39%	(log1p.f64 (exp.f64 a))
✓	56.8%	(log.f64 (+.f64 2 (+.f64 b (.f64 b (.f64 b 1/2)))))
	56.87%	(log.f64 (+.f64 2 b))
✓	57.32%	(log.f64 2)
	56.74%	(exp.f64 (log.f64 (fma.f64 1/2 b (log.f64 2))))

Compiler

Compiled 208 to 161 computations (22.6% saved)

regimes54.0ms (0.3%)

Counts

31 → 1

Calls

Call 1

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

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

Calls

6 calls:

15.0ms	a
14.0ms	b
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
4.0ms	(exp.f64 b)

Results

Error	Segments	Branch
1.54%	1	`a`
1.54%	1	`b`
1.54%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
1.54%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
1.54%	1	`(exp.f64 a)`
1.54%	1	`(exp.f64 b)`

Compiler

Compiled 365 to 232 computations (36.4% saved)

regimes47.0ms (0.3%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

6 calls:

19.0ms	a
9.0ms	b
5.0ms	(exp.f64 a)
3.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Error	Segments	Branch
1.18%	2	`a`
3.14%	1	`b`
3.14%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
3.14%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
1.18%	2	`(exp.f64 a)`
3.14%	1	`(exp.f64 b)`

Compiler

Compiled 162 to 111 computations (31.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	5.207341468945871e-21

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes102.0ms (0.6%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

6 calls:

58.0ms	b
18.0ms	a
7.0ms	(exp.f64 b)
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

Error	Segments	Branch
1.58%	2	`a`
26.35%	6	`b`
1.97%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
1.97%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
1.58%	2	`(exp.f64 a)`
39.5%	3	`(exp.f64 b)`

Compiler

Compiled 156 to 108 computations (30.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	5.207341468945871e-21

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes74.0ms (0.4%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

4 calls:

46.0ms	b
17.0ms	a
4.0ms	(exp.f64 a)
3.0ms	(exp.f64 b)

Results

Error	Segments	Branch
1.98%	2	`a`
27.29%	6	`b`
1.98%	2	`(exp.f64 a)`
41.34%	1	`(exp.f64 b)`

Compiler

Compiled 135 to 95 computations (29.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	5.207341468945871e-21

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes79.0ms (0.4%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

4 calls:

51.0ms	b
17.0ms	a
4.0ms	(exp.f64 a)
4.0ms	(exp.f64 b)

Results

Error	Segments	Branch
2.03%	2	`a`
26.09%	7	`b`
2.03%	2	`(exp.f64 a)`
41.34%	1	`(exp.f64 b)`

Compiler

Compiled 122 to 87 computations (28.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	5.207341468945871e-21

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes67.0ms (0.4%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

4 calls:

42.0ms	b
15.0ms	a
4.0ms	(exp.f64 a)
3.0ms	(exp.f64 b)

Results

Error	Segments	Branch
2.11%	2	`a`
27.69%	6	`b`
2.11%	2	`(exp.f64 a)`
41.34%	1	`(exp.f64 b)`

Compiler

Compiled 115 to 83 computations (27.8% saved)

bsearch41.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
40.0ms	-231657380.78234276	-46.70421750201861

Results

18.0ms	68×	body	512	valid
12.0ms	18×	body	1024	valid
8.0ms	57×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 148 to 118 computations (20.3% saved)

regimes63.0ms (0.4%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

3 calls:

43.0ms	b
13.0ms	a
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
2.3%	2	`a`
26.64%	7	`b`
2.3%	2	`(exp.f64 a)`

Compiler

Compiled 100 to 74 computations (26% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.207341468945871e-21	0.9968155688636422

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes60.0ms (0.3%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

3 calls:

40.0ms	b
13.0ms	a
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
2.37%	2	`a`
26.64%	7	`b`
2.37%	2	`(exp.f64 a)`

Compiler

Compiled 86 to 63 computations (26.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.207341468945871e-21	0.9968155688636422

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes55.0ms (0.3%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

3 calls:

38.0ms	b
11.0ms	a
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
2.76%	2	`a`
26.64%	7	`b`
2.76%	2	`(exp.f64 a)`

Compiler

Compiled 74 to 55 computations (25.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	5.207341468945871e-21

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes17.0ms (0.1%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	a
5.0ms	b

Results

Error	Segments	Branch
48.47%	2	`a`
56.45%	1	`b`

Compiler

Compiled 54 to 41 computations (24.1% saved)

bsearch35.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
35.0ms	-231657380.78234276	-46.70421750201861

Results

15.0ms	27×	body	1024	valid
14.0ms	108×	body	256	valid
2.0ms	7×	body	512	valid
2.0ms	2×	body	2048	valid

Compiler

Compiled 148 to 127 computations (14.2% saved)

regimes17.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	a
5.0ms	b

Results

Error	Segments	Branch
48.56%	2	`a`
56.87%	1	`b`

Compiler

Compiled 48 to 36 computations (25% saved)

bsearch35.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
35.0ms	-231657380.78234276	-46.70421750201861

Results

11.0ms	87×	body	256	valid
10.0ms	20×	body	1024	valid
9.0ms	36×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 130 to 109 computations (16.2% saved)

regimes13.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	a
4.0ms	b

Results

Error	Segments	Branch
49.03%	2	`a`
57.32%	1	`b`

Compiler

Compiled 38 to 28 computations (26.3% saved)

bsearch36.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
36.0ms	-231657380.78234276	-46.70421750201861

Results

17.0ms	30×	body	1024	valid
15.0ms	106×	body	256	valid
2.0ms	2×	body	2048	valid
2.0ms	6×	body	512	valid

Compiler

Compiled 112 to 100 computations (10.7% saved)

regimes9.0ms (0%)

Accuracy

Total -6.0b remaining (-10.7%)

Threshold costs -6b (-10.7%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(*.f64 1/2 b)

Calls

2 calls:

4.0ms	b
4.0ms	a

Results

Error	Segments	Branch
87.04%	1	`a`
87.04%	1	`b`

Compiler

Compiled 36 to 26 computations (27.8% saved)

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

38×	`+-commutative`
16×	`*-commutative`
4×	`distribute-lft-neg-in`
4×	`sub-neg`
4×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	555
1	95	555
2	104	555
3	108	555
4	111	555
5	112	555

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))
(if (<=.f64 a -280) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 (exp.f64 a) 6646139978924579/664613997892457936451903530140172288) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2))))
(if (<=.f64 (exp.f64 a) 6646139978924579/664613997892457936451903530140172288) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 b (+.f64 (+.f64 2 a) (.f64 b (.f64 b 1/2))))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -112) (.f64 1/2 b) (+.f64 (.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -120) (*.f64 1/2 b) (log.f64 (+.f64 2 b)))
(if (<=.f64 a -112) (*.f64 1/2 b) (log.f64 2))
(*.f64 1/2 b)

Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 (exp.f64 a) (+.f64 b 1))))
(if (<=.f64 a -280) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 a -280) (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(if (<=.f64 (exp.f64 a) 6646139978924579/664613997892457936451903530140172288) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2))))
(if (<=.f64 (exp.f64 a) 6646139978924579/664613997892457936451903530140172288) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (.f64 a (+.f64 1/2 (.f64 -1/4 b))) (+.f64 (*.f64 b 1/2) (log.f64 2))))
(if (<=.f64 (exp.f64 a) 6646139978924579/664613997892457936451903530140172288) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (.f64 a (+.f64 1/2 (.f64 b -1/4))) (+.f64 (*.f64 b 1/2) (log.f64 2))))
(if (<=.f64 (exp.f64 a) 6646139978924579/664613997892457936451903530140172288) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 b (+.f64 (+.f64 2 a) (.f64 b (.f64 b 1/2))))))
(if (<=.f64 (exp.f64 a) 6646139978924579/664613997892457936451903530140172288) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 b (+.f64 (+.f64 a 2) (.f64 b (.f64 b 1/2))))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (*.f64 b 1/2) (log.f64 2)))
(if (<=.f64 a -112) (.f64 1/2 b) (+.f64 (.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -112) (.f64 b 1/2) (+.f64 (.f64 b 1/2) (log.f64 2)))
(if (<=.f64 a -120) (*.f64 1/2 b) (log.f64 (+.f64 2 b)))
(if (<=.f64 a -120) (*.f64 b 1/2) (log.f64 (+.f64 b 2)))
(if (<=.f64 a -112) (*.f64 1/2 b) (log.f64 2))
(if (<=.f64 a -112) (*.f64 b 1/2) (log.f64 2))
(*.f64 1/2 b)
(*.f64 b 1/2)

Compiler

Compiled 226 to 158 computations (30.1% saved)

soundness167.0ms (1%)

Algorithm

2×	egg-herbie

Rules

1090×	`fma-def`
1090×	`fma-def`
1004×	`unswap-sqr`
1004×	`unswap-sqr`
902×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 101 to 42 computations (58.4% saved)

end112.0ms (0.6%)

Compiler: Compiled 240 to 149 computations (37.9% saved)