Details

analyze177.0ms (1%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample11.2s (66.3%)

Results

8.8s	7802×	body	8192	exit
1.2s	1933×	body	1024	valid
752.0ms	5153×	body	256	valid
315.0ms	970×	body	512	valid
149.0ms	200×	body	2048	valid

Bogosity

preprocess15.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

2×	`swap-a-b`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

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

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

Symmetry

(sort a b)

Compiler

Compiled 10 to 8 computations (20% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	10	19

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

27.8b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.8b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 8 to 6 computations (25% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	4.4b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series67.0ms (0.4%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
22.0ms	a	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
21.0ms	a	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
12.0ms	b	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
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)))

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

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

Outputs

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

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

simplify81.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

74 → 115

Calls

Call 1

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

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

eval36.0ms (0.2%)

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

prune21.0ms (0.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	107	8	115
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	107	9	116

Error

0.4b

Counts

116 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.3b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
▶	1.3b	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
	31.0b	(log1p.f64 (exp.f64 b))
▶	31.4b	(log1p.f64 (exp.f64 a))
▶	29.8b	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
✓	27.8b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	29.4b	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
	31.0b	(log.f64 (+.f64 1 (exp.f64 b)))
▶	31.4b	(log.f64 (+.f64 1 (exp.f64 a)))

Compiler

Compiled 144 to 110 computations (23.6% saved)

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.0b	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series35.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	b	@	inf	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
7.0ms	a	@	inf	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
7.0ms	b	@	-inf	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
6.0ms	a	@	-inf	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
0.0ms	a	@	0	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))

rewrite66.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

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

Outputs

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

simplify56.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

40 → 46

Calls

Call 1

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

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

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 8 to 4 computations (50% saved)

series45.0ms (0.3%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
24.0ms	a	@	inf	(log1p.f64 (exp.f64 a))
20.0ms	a	@	-inf	(log1p.f64 (exp.f64 a))
0.0ms	a	@	0	(log1p.f64 (exp.f64 a))

rewrite67.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(log1p.f64 (exp.f64 a))

Outputs

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

simplify62.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

36 → 45

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 15 to 9 computations (40% saved)

series0.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite60.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify72.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1376×	`times-frac`
1154×	`associate-/l*`
748×	`associate-+r+`
666×	`associate-+l+`
664×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	142	1286
1	325	1184
2	1173	1000
3	3688	976

Stop Event

1×	node limit

Counts

62 → 92

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 a) (+.f64 1 b))
✓	3.5b	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))

Compiler

Compiled 23 to 13 computations (43.5% saved)

series28.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
14.0ms	a	@	inf	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
12.0ms	a	@	-inf	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
0.0ms	a	@	0	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
0.0ms	b	@	inf	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
0.0ms	b	@	-inf	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))

rewrite80.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

966×	`associate-*r/`
886×	`*-commutative`
796×	`distribute-lft-in`
756×	`distribute-rgt-in`
668×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	204	38
2	2669	32

Stop Event

1×	node limit

Counts

2 → 120

Calls

Call 1

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

Outputs

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

simplify100.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1456×	`associate-*r/`
1260×	`associate-*l/`
1094×	`+-commutative`
378×	`associate-r`
368×	`associate--r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	400	7044
1	1136	6662
2	4770	6662

Stop Event

1×	node limit

Counts

168 → 246

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 30 to 14 computations (53.3% saved)

series6.0ms (0%)

Counts

2 → 28

Calls

12 calls:

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

rewrite101.0ms (0.6%)

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) 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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))))))))

simplify145.0ms (0.9%)

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

eval300.0ms (1.8%)

Compiler: Compiled 16720 to 9470 computations (43.4% saved)

prune188.0ms (1.1%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	740	16	756
Fresh	2	1	3
Picked	1	0	1
Done	4	1	5
Total	747	18	765

Error

0.4b

Counts

765 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	3.1b	(pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 3)
	16.6b	(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)))))
	21.9b	(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3)))) (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3)))))
	31.1b	(/.f64 b (+.f64 1 (exp.f64 a)))
▶	32.3b	(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
	32.1b	(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
	31.7b	(+.f64 (*.f64 1/2 b) (log.f64 2))
	32.7b	(+.f64 (*.f64 1/2 a) (log.f64 2))
▶	1.3b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))))
▶	26.6b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b 2))
	3.3b	(log1p.f64 (+.f64 (exp.f64 a) b))
	31.0b	(log1p.f64 (exp.f64 b))
✓	31.4b	(log1p.f64 (exp.f64 a))
▶	33.0b	(log.f64 (+.f64 b (+.f64 2 a)))
	31.9b	(log.f64 (+.f64 2 b))
	33.5b	(log.f64 (+.f64 2 a))
	63.0b	(log.f64 b)
▶	32.3b	(log.f64 2)

Compiler

Compiled 497 to 352 computations (29.2% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 b (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a)))))
✓	0.0b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))))
✓	0.0b	(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))
✓	0.5b	(log1p.f64 (+.f64 1 (exp.f64 a)))

Compiler

Compiled 45 to 25 computations (44.4% saved)

series61.0ms (0.4%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
46.0ms	a	@	inf	(log1p.f64 (+.f64 1 (exp.f64 a)))
13.0ms	a	@	-inf	(log1p.f64 (+.f64 1 (exp.f64 a)))
0.0ms	a	@	0	(log1p.f64 (+.f64 1 (exp.f64 a)))
0.0ms	a	@	0	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))))
0.0ms	a	@	0	(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))

rewrite100.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1814×	`associate-*r/`
1312×	`associate-*l/`
926×	`associate-/r*`
690×	`associate-/l*`
274×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	74
1	267	74
2	3287	74

Stop Event

1×	node limit

Counts

4 → 211

Calls

Call 1

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

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

simplify159.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1260×	`associate-+r+`
1148×	`associate-+l+`
946×	`+-commutative`
648×	`associate-/l*`
530×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	573	11481
1	1459	10799
2	6636	10799

Stop Event

1×	node limit

Counts

283 → 337

Calls

Call 1

Inputs
(log.f64 3)
(+.f64 (*.f64 1/3 a) (log.f64 3))
(+.f64 (.f64 1/3 a) (+.f64 (.f64 1/9 (pow.f64 a 2)) (log.f64 3)))
(+.f64 (.f64 1/81 (pow.f64 a 3)) (+.f64 (.f64 1/3 a) (+.f64 (*.f64 1/9 (pow.f64 a 2)) (log.f64 3))))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (.f64 1/6 (pow.f64 a 3)))))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 1/2 b)
(+.f64 (.f64 1/2 b) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/16 b) (+.f64 (.f64 1/24 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (.f64 a b)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 2 (expm1.f64 a))))) 1)
(*.f64 1 (log1p.f64 (+.f64 2 (expm1.f64 a))))
(*.f64 (log1p.f64 (+.f64 2 (expm1.f64 a))) 1)
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 2 (expm1.f64 a)))) (sqrt.f64 (log1p.f64 (+.f64 2 (expm1.f64 a)))))
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 2 (expm1.f64 a)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 2 (expm1.f64 a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 2 (expm1.f64 a)))) 2) (cbrt.f64 (log1p.f64 (+.f64 2 (expm1.f64 a)))))
(pow.f64 (log1p.f64 (+.f64 2 (expm1.f64 a))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 2 (expm1.f64 a)))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 2 (expm1.f64 a)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 2 (expm1.f64 a))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 2 (expm1.f64 a))) 2))
(log.f64 (+.f64 (exp.f64 a) 2))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 2 (expm1.f64 a))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 2 (expm1.f64 a)))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 2 (expm1.f64 a)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 2 (expm1.f64 a)))) 1))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 (+.f64 2 (expm1.f64 a)) -1))
(+.f64 (exp.f64 a) 1)
(+.f64 (+.f64 2 (expm1.f64 a)) 0)
(+.f64 (+.f64 (exp.f64 a) 2) -1)
(+.f64 2 (expm1.f64 a))
(+.f64 2 (+.f64 (exp.f64 a) -1))
(+.f64 -1 (+.f64 (exp.f64 a) 2))
(-.f64 (+.f64 2 (expm1.f64 a)) 0)
(-.f64 (+.f64 (exp.f64 a) 2) 1)
(-.f64 (+.f64 3 (exp.f64 a)) 2)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))
(*.f64 1 (+.f64 2 (expm1.f64 a)))
(*.f64 (+.f64 2 (expm1.f64 a)) 1)
(*.f64 (sqrt.f64 (+.f64 2 (expm1.f64 a))) (sqrt.f64 (+.f64 2 (expm1.f64 a))))
(*.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2) (cbrt.f64 (+.f64 2 (expm1.f64 a))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 1 (-.f64 1 (exp.f64 a))))
(.f64 (+.f64 1 (exp.f64 (.f64 a 3))) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 1 (/.f64 1 (+.f64 2 (expm1.f64 a))))
(/.f64 (+.f64 2 (expm1.f64 a)) 1)
(/.f64 (sqrt.f64 (+.f64 2 (expm1.f64 a))) (/.f64 1 (sqrt.f64 (+.f64 2 (expm1.f64 a)))))
(/.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2) (/.f64 1 (cbrt.f64 (+.f64 2 (expm1.f64 a)))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 1 (/.f64 1 (-.f64 1 (exp.f64 a)))))
(/.f64 (+.f64 1 (exp.f64 (.f64 a 3))) (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (+.f64 1 (exp.f64 (.f64 a 3))) (/.f64 1 (/.f64 1 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))))))
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(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))) 2) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 2)))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))) 2) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 3)))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (-.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1) (-.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 2))) 1) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 3))) 1) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (-.f64 (/.f64 b (+.f64 2 (expm1.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 2 (expm1.f64 a))) 2))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a)))))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 3))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a)))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (-.f64 (/.f64 b (+.f64 2 (expm1.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 2 (expm1.f64 a))) 2))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 3))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))) 2)) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (-.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (/.f64 (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 3) (/.f64 (+.f64 2 (expm1.f64 a)) b))) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a)))))) (+.f64 (pow.f64 (/.f64 b (+.f64 2 (expm1.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 2 (expm1.f64 a))) 2) 3)) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.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 2 (expm1.f64 a))) 3) (/.f64 (+.f64 2 (expm1.f64 a)) b))) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 2 (expm1.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 2 (expm1.f64 a))) 3) (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 3))) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (-.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) 3) (pow.f64 (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (-.f64 (/.f64 b (+.f64 2 (expm1.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 2 (expm1.f64 a))) 3) (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 3))) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 2)) 1) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 2)) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a)))))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 2)) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 2)) (+.f64 (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a))))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (-.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (-.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (-.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (-.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (-.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (-.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))))
(pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a)))) 1)
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))) 2)
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))) 3)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a)))) 2))
(log.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a)))))))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))))
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))
(fma.f64 1 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 b (/.f64 1 (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 2 (expm1.f64 a))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2) (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 2 (expm1.f64 a))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))) 1)
(*.f64 1 (/.f64 b (+.f64 2 (expm1.f64 a))))
(*.f64 b (/.f64 1 (+.f64 2 (expm1.f64 a))))
(*.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 1)
(.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) (/.f64 1 (+.f64 2 (expm1.f64 a)))))
(*.f64 (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))
(.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) (/.f64 1 (+.f64 2 (expm1.f64 a)))))
(*.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2) (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))
(*.f64 (/.f64 1 (+.f64 2 (expm1.f64 a))) b)
(*.f64 (neg.f64 b) (/.f64 -1 (+.f64 2 (expm1.f64 a))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (expm1.f64 a)))) (/.f64 b (sqrt.f64 (+.f64 2 (expm1.f64 a)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)) (/.f64 b (cbrt.f64 (+.f64 2 (expm1.f64 a)))))
(*.f64 (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))
(.f64 (/.f64 b (+.f64 1 (exp.f64 (.f64 a 3)))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(*.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 2 (expm1.f64 a))))
(*.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 2 (expm1.f64 a)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 2 (expm1.f64 a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 2 (expm1.f64 a)))) (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 2 (expm1.f64 a)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)) (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))
(pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 1)
(pow.f64 (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2)
(pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 3)
(pow.f64 (/.f64 (+.f64 2 (expm1.f64 a)) b) -1)
(pow.f64 (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 3) 1/3)
(neg.f64 (/.f64 b (-.f64 -1 (exp.f64 a))))
(sqrt.f64 (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 2))
(log.f64 (exp.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))))
(cbrt.f64 (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 3))
(expm1.f64 (log1p.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (*.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) 1))
(log1p.f64 (expm1.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))

Outputs
(log.f64 3)
(+.f64 (*.f64 1/3 a) (log.f64 3))
(fma.f64 1/3 a (log.f64 3))
(+.f64 (.f64 1/3 a) (+.f64 (.f64 1/9 (pow.f64 a 2)) (log.f64 3)))
(fma.f64 1/3 a (fma.f64 1/9 (*.f64 a a) (log.f64 3)))
(+.f64 (.f64 1/81 (pow.f64 a 3)) (+.f64 (.f64 1/3 a) (+.f64 (*.f64 1/9 (pow.f64 a 2)) (log.f64 3))))
(fma.f64 1/81 (pow.f64 a 3) (fma.f64 1/3 a (fma.f64 1/9 (*.f64 a a) (log.f64 3))))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
2
(+.f64 2 a)
(+.f64 a 2)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(fma.f64 1/2 (*.f64 a a) (+.f64 a 2))
(+.f64 a (fma.f64 (*.f64 a a) 1/2 2))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (.f64 1/6 (pow.f64 a 3)))))
(fma.f64 1/2 (.f64 a a) (+.f64 (+.f64 a 2) (.f64 (pow.f64 a 3) 1/6)))
(+.f64 (fma.f64 (pow.f64 a 3) 1/6 a) (fma.f64 (*.f64 a a) 1/2 2))
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.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 (fma.f64 (neg.f64 (pow.f64 a 3)) (+.f64 0 (.f64 b -1/48)) (fma.f64 (*.f64 a a) 1/8 (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
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(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 2)) (*.f64 (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))) (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 2)) (*.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (-.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (-.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 3)) (fma.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (-.f64 (/.f64 b (+.f64 2 (expm1.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 2 (expm1.f64 a))) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (-.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (-.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (-.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 3)) (fma.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (-.f64 (/.f64 b (+.f64 2 (expm1.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 2 (expm1.f64 a))) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (-.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (-.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (-.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (-.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 3)) (fma.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (-.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a)))) 1)
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))) 2)
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))) 3)
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))
(pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a)))) 3) 1/3)
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a)))) 2))
(fabs.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a)))))
(log.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a)))))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a)))) 3))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))) 1))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))
(fma.f64 1 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))
(fma.f64 b (/.f64 1 (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 2 (expm1.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2) (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 2 (expm1.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))) 1)
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 1 (/.f64 b (+.f64 2 (expm1.f64 a))))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 b (/.f64 1 (+.f64 2 (expm1.f64 a))))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 1)
(/.f64 b (+.f64 2 (expm1.f64 a)))
(.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) (/.f64 1 (+.f64 2 (expm1.f64 a)))))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) (/.f64 1 (+.f64 2 (expm1.f64 a)))))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2) (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 1 (+.f64 2 (expm1.f64 a))) b)
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 (neg.f64 b) (/.f64 -1 (+.f64 2 (expm1.f64 a))))
(/.f64 (*.f64 (neg.f64 b) -1) (+.f64 2 (expm1.f64 a)))
(/.f64 (neg.f64 (neg.f64 b)) (+.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (expm1.f64 a)))) (/.f64 b (sqrt.f64 (+.f64 2 (expm1.f64 a)))))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)) (/.f64 b (cbrt.f64 (+.f64 2 (expm1.f64 a)))))
(/.f64 b (+.f64 2 (expm1.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 a))) (-.f64 1 (pow.f64 (exp.f64 a) 2)))
(*.f64 b (/.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (pow.f64 (exp.f64 a) 2))))
(.f64 (/.f64 b (+.f64 1 (exp.f64 (.f64 a 3)))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))) (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(*.f64 b (/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) 1) (+.f64 1 (pow.f64 (exp.f64 3) a))))
(*.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 2 (expm1.f64 a))))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 2 (expm1.f64 a)))))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 2 (expm1.f64 a))))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 2 (expm1.f64 a)))) (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 2 (expm1.f64 a)))))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)) (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))
(*.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)))
(/.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2) (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))))
(pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 1)
(/.f64 b (+.f64 2 (expm1.f64 a)))
(pow.f64 (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2)
(/.f64 b (+.f64 2 (expm1.f64 a)))
(pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 3)
(/.f64 b (+.f64 2 (expm1.f64 a)))
(pow.f64 (/.f64 (+.f64 2 (expm1.f64 a)) b) -1)
(/.f64 b (+.f64 2 (expm1.f64 a)))
(pow.f64 (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 3) 1/3)
(/.f64 b (+.f64 2 (expm1.f64 a)))
(neg.f64 (/.f64 b (-.f64 -1 (exp.f64 a))))
(/.f64 (neg.f64 b) (-.f64 -1 (exp.f64 a)))
(sqrt.f64 (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 2))
(fabs.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))
(log.f64 (exp.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(cbrt.f64 (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 3))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(expm1.f64 (log1p.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(/.f64 b (+.f64 (exp.f64 a) 1))
(exp.f64 (*.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) 1))
(/.f64 b (+.f64 (exp.f64 a) 1))
(log1p.f64 (expm1.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))
(/.f64 b (+.f64 2 (expm1.f64 a)))

localize3.0ms (0%)

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

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 12 computations (36.8% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite90.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

994×	`associate-*r/`
872×	`*-commutative`
762×	`distribute-lft-in`
734×	`distribute-rgt-in`
688×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	196	30
2	2630	30

Stop Event

1×	node limit

Counts

2 → 121

Calls

Call 1

Inputs
(log.f64 (+.f64 b (+.f64 2 a)))
(+.f64 b (+.f64 2 a))

Outputs

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

simplify99.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1794×	`unswap-sqr`
820×	`associate-/r/`
614×	`associate-/l/`
448×	`+-commutative`
416×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	415	6535
1	1191	6241
2	5003	6237

Stop Event

1×	node limit

Counts

169 → 256

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 27 to 18 computations (33.3% saved)

series6.0ms (0%)

Counts

3 → 39

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	a	@	0	(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
0.0ms	a	@	inf	(/.f64 a (+.f64 2 b))
0.0ms	a	@	0	(/.f64 a (+.f64 2 b))
0.0ms	a	@	-inf	(/.f64 a (+.f64 2 b))
0.0ms	b	@	inf	(/.f64 a (+.f64 2 b))

rewrite95.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1388×	`associate-*r/`
1116×	`associate-*l/`
1062×	`*-commutative`
920×	`associate-/r*`
670×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	53
1	220	53
2	3046	53

Stop Event

1×	node limit

Counts

3 → 172

Calls

Call 1

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

Outputs

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

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

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

simplify140.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

648×	`fma-def`
596×	`associate-+l-`
582×	`associate-+r-`
516×	`associate--r+`
512×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	536	10543
1	1463	9931
2	6410	9931

Stop Event

1×	node limit

Counts

211 → 342

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 10 computations (50% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

900×	`associate-*r/`
888×	`*-commutative`
678×	`unswap-sqr`
564×	`associate-*l/`
510×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	212	17
2	2659	17

Stop Event

1×	node limit

Counts

1 → 83

Calls

Call 1

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

Outputs

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

simplify82.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1806×	`distribute-lft-in`
1378×	`associate-/r*`
1018×	`associate-*r/`
852×	`associate-*l/`
404×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	274	6219
1	772	5557
2	3088	5557

Stop Event

1×	node limit

Counts

107 → 160

Calls

Call 1

Inputs
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 1/2 a) (+.f64 (.f64 1/2 b) (log.f64 2)))
(+.f64 (.f64 1/2 a) (+.f64 (.f64 1/2 b) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 a 2)))))
(+.f64 (.f64 1/2 a) (+.f64 (.f64 1/2 b) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 a 4)) (.f64 1/8 (pow.f64 a 2))))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(*.f64 1/2 b)
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 b))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 b))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 b))
(*.f64 1/2 b)
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 b))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 b))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 b))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 b 1/2))) (-.f64 1 (log1p.f64 (exp.f64 a))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a)))) (-.f64 1 (*.f64 b 1/2)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b -1/2))) (/.f64 (.f64 (.f64 b b) 1/4) (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b -1/2))))
(-.f64 (+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (log1p.f64 (*.f64 b 1/2)))) 1)
(-.f64 (+.f64 (*.f64 b 1/2) (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a))))) 1)
(*.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))) 1)
(*.f64 1 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))
(*.f64 (sqrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(*.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) (pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 2) (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (/.f64 b (/.f64 -4 b))) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b -1/2))))
(.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (.f64 (pow.f64 b 3) 1/8)) (/.f64 1 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b -1/2))))))
(.f64 (/.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b -1/2))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (/.f64 b (/.f64 -4 b))))
(.f64 (/.f64 1 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b -1/2))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (.f64 (pow.f64 b 3) 1/8)))
(*.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (/.f64 b (/.f64 -4 b))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (/.f64 b (/.f64 -4 b)))) (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))
(.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (/.f64 b (/.f64 -4 b))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (.f64 (pow.f64 b 3) 1/8))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (.f64 b 1/2) (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))))
(.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (.f64 (pow.f64 b 3) 1/8)) (-.f64 (.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (.f64 (.f64 (.f64 b b) 1/4) (.f64 (-.f64 (.f64 b 1/2) (log1p.f64 (exp.f64 a))) (-.f64 (.f64 b 1/2) (log1p.f64 (exp.f64 a))))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (.f64 b -1/2) (-.f64 (.f64 b 1/2) (log1p.f64 (exp.f64 a))))))
(.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (.f64 (pow.f64 b 3) 1/8)) (+.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) 3) (pow.f64 (.f64 (.f64 b 1/2) (-.f64 (.f64 b 1/2) (log1p.f64 (exp.f64 a)))) 3))) (+.f64 (.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (.f64 (.f64 (.f64 b 1/2) (-.f64 (.f64 b 1/2) (log1p.f64 (exp.f64 a)))) (-.f64 (.f64 (.f64 b 1/2) (-.f64 (*.f64 b 1/2) (log1p.f64 (exp.f64 a)))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))) (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))) (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 2))))
(.f64 (.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))) (*.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))) 3) 1/6))
(/.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))) (/.f64 (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b -1/2)) (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b -1/2))))
(/.f64 1 (/.f64 1 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (/.f64 b (/.f64 -4 b))) (+.f64 (log1p.f64 (exp.f64 a)) (*.f64 b -1/2)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (.f64 (pow.f64 b 3) 1/8)) (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (*.f64 b -1/2)))))
(/.f64 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b -1/2)))) (/.f64 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b -1/2)))) (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (/.f64 b (/.f64 -4 b)))) (/.f64 (+.f64 (log1p.f64 (exp.f64 a)) (*.f64 b -1/2)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (/.f64 b (/.f64 -4 b))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (.f64 (pow.f64 b 3) 1/8))) (/.f64 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b -1/2)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (.f64 (pow.f64 b 3) 1/8)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (/.f64 b (/.f64 -4 b)))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (/.f64 b (/.f64 -4 b))))) (/.f64 (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b -1/2)) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (/.f64 b (/.f64 -4 b))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (.f64 (pow.f64 b 3) 1/8))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (.f64 (pow.f64 b 3) 1/8)))) (/.f64 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b -1/2)))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (.f64 (pow.f64 b 3) 1/8)))))
(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (.f64 (.f64 (pow.f64 b 3) (pow.f64 b 3)) 1/64)) (.f64 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b -1/2)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (*.f64 (pow.f64 b 3) 1/8))))
(/.f64 (-.f64 (.f64 (.f64 b b) 1/4) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (-.f64 (*.f64 b 1/2) (log1p.f64 (exp.f64 a))))
(/.f64 (-.f64 (.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (.f64 (.f64 b (pow.f64 b 3)) 1/16)) (.f64 (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b -1/2)) (+.f64 (.f64 (*.f64 b b) 1/4) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) 3) (pow.f64 (.f64 (pow.f64 b 3) 1/8) 3)) (.f64 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b -1/2)))) (+.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (.f64 (.f64 (pow.f64 b 3) 1/8) (-.f64 (.f64 (pow.f64 b 3) 1/8) (pow.f64 (log1p.f64 (exp.f64 a)) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) 3) (pow.f64 (.f64 (.f64 b b) 1/4) 3)) (.f64 (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b -1/2)) (+.f64 (.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (.f64 (.f64 (.f64 b b) 1/4) (+.f64 (.f64 (.f64 b b) 1/4) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (.f64 (.f64 b b) 1/4)) (+.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (*.f64 b 1/2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (.f64 (pow.f64 b 3) 1/8))) (neg.f64 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (*.f64 b -1/2))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (/.f64 b (/.f64 -4 b))))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b -1/2))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (.f64 (pow.f64 b 3) 1/8)))) (sqrt.f64 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b -1/2))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 2) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (/.f64 b (/.f64 -4 b))))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b -1/2))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 2) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (.f64 (pow.f64 b 3) 1/8)))) (cbrt.f64 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b -1/2))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 b b) 1/4) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1) (-.f64 (.f64 b 1/2) (log1p.f64 (exp.f64 a))))
(/.f64 (.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (.f64 (.f64 b b) 1/4)) 1) (+.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (.f64 b 1/2)))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (.f64 (pow.f64 b 3) 1/8))) 1) (neg.f64 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b -1/2))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (/.f64 b (/.f64 -4 b)))) (sqrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b -1/2))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (.f64 (pow.f64 b 3) 1/8))) (sqrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))) (sqrt.f64 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b -1/2))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (/.f64 b (/.f64 -4 b)))) (pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b -1/2))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (.f64 (pow.f64 b 3) 1/8))) (pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b -1/2))))))
(/.f64 (.f64 (-.f64 (.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (.f64 (.f64 b (pow.f64 b 3)) 1/16)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b -1/2)))) (+.f64 (.f64 (*.f64 b b) 1/4) (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) 3) (pow.f64 (.f64 (.f64 b b) 1/4) 3)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b -1/2)))) (+.f64 (.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (.f64 (.f64 (.f64 b b) 1/4) (+.f64 (.f64 (.f64 b b) 1/4) (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 (.f64 (pow.f64 b 3) (pow.f64 b 3)) 1/64)) (/.f64 1 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b -1/2)))))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (*.f64 (pow.f64 b 3) 1/8)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) 3) (pow.f64 (.f64 (pow.f64 b 3) 1/8) 3)) (/.f64 1 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b -1/2)))))) (+.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (.f64 (.f64 (pow.f64 b 3) 1/8) (-.f64 (.f64 (pow.f64 b 3) 1/8) (pow.f64 (log1p.f64 (exp.f64 a)) 3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (/.f64 b (/.f64 -4 b))) 1) (+.f64 (log1p.f64 (exp.f64 a)) (*.f64 b -1/2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (/.f64 b (/.f64 -4 b))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b -1/2)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b -1/2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (/.f64 b (/.f64 -4 b))) (.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b -1/2))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b -1/2))))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b -1/2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (/.f64 b (/.f64 -4 b))) (+.f64 (sqrt.f64 (.f64 b 1/2)) (sqrt.f64 (log1p.f64 (exp.f64 a))))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (.f64 b 1/2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (.f64 (pow.f64 b 3) 1/8)) 1) (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (*.f64 b -1/2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (.f64 (pow.f64 b 3) 1/8)) (sqrt.f64 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b -1/2)))))) (sqrt.f64 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (*.f64 b -1/2))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (.f64 (pow.f64 b 3) 1/8)) (.f64 (cbrt.f64 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b -1/2))))) (cbrt.f64 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b -1/2))))))) (cbrt.f64 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b -1/2))))))
(pow.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))) 1)
(pow.f64 (sqrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (/.f64 b (/.f64 -4 b))) (+.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (*.f64 b 1/2))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (.f64 (pow.f64 b 3) 1/8)) (neg.f64 (+.f64 (.f64 (.f64 b b) 1/4) (.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (*.f64 b -1/2)))))))
(sqrt.f64 (pow.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))) 2))
(log.f64 (exp.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))))
(cbrt.f64 (pow.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))) 3))
(expm1.f64 (log1p.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(exp.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(log1p.f64 (expm1.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (*.f64 b 1/2))
(fma.f64 1 (*.f64 b 1/2) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (.f64 b 1/2)) (sqrt.f64 (.f64 b 1/2)) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (*.f64 b 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 b 1/2)) 2) (cbrt.f64 (.f64 b 1/2)) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))) (*.f64 b 1/2))

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

eval448.0ms (2.6%)

Compiler: Compiled 28314 to 18224 computations (35.6% saved)

prune248.0ms (1.5%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	1129	11	1140
Fresh	7	5	12
Picked	0	1	1
Done	3	2	5
Total	1139	19	1158

Error

0.4b

Counts

1158 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	27.7b	(pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 3)
	31.1b	(/.f64 b (+.f64 (exp.f64 a) 1))
	32.4b	(+.f64 (+.f64 (fma.f64 1/2 a (log.f64 2)) (.f64 1/8 (.f64 a a))) (/.f64 b 2))
▶	32.2b	(+.f64 (+.f64 (*.f64 1/2 a) (log.f64 2)) (/.f64 b 2))
	31.7b	(+.f64 (*.f64 1/2 b) (log.f64 2))
	32.3b	(+.f64 (*.f64 1/2 a) (log.f64 (+.f64 2 b)))
▶	32.7b	(+.f64 (*.f64 1/2 a) (log.f64 2))
▶	2.7b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 2 (expm1.f64 a)))) 3))))
✓	26.6b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b 2))
▶	56.3b	(*.f64 1/2 b)
	33.0b	(log1p.f64 (+.f64 (+.f64 b a) 1))
	3.3b	(log1p.f64 (+.f64 (exp.f64 a) b))
	31.0b	(log1p.f64 (exp.f64 b))
✓	31.4b	(log1p.f64 (exp.f64 a))
	31.9b	(log.f64 (+.f64 b 2))
	33.5b	(log.f64 (+.f64 2 a))
✓	32.3b	(log.f64 2)
	26.7b	(expm1.f64 (log1p.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
▶	29.3b	(exp.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))

Compiler

Compiled 314 to 253 computations (19.4% saved)

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 2 (expm1.f64 a)))) 3))
✓	0.5b	(log1p.f64 (+.f64 2 (expm1.f64 a)))
✓	0.5b	(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 2 (expm1.f64 a)))) 3)
✓	0.8b	(cbrt.f64 (log1p.f64 (+.f64 2 (expm1.f64 a))))

Compiler

Compiled 71 to 46 computations (35.2% saved)

series23.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
9.0ms	a	@	inf	(cbrt.f64 (log1p.f64 (+.f64 2 (expm1.f64 a))))
7.0ms	a	@	-inf	(cbrt.f64 (log1p.f64 (+.f64 2 (expm1.f64 a))))
2.0ms	a	@	0	(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 2 (expm1.f64 a)))) 3)
2.0ms	a	@	0	(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 2 (expm1.f64 a)))) 3))
1.0ms	a	@	0	(cbrt.f64 (log1p.f64 (+.f64 2 (expm1.f64 a))))

rewrite74.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1956×	`add-sqr-sqrt`
1920×	`*-un-lft-identity`
1814×	`add-cube-cbrt`
1798×	`add-cbrt-cube`
196×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	60
1	249	60
2	2506	60

Stop Event

1×	node limit

Counts

4 → 104

Calls

Call 1

Inputs
(cbrt.f64 (log1p.f64 (+.f64 2 (expm1.f64 a))))
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 2 (expm1.f64 a)))) 3)
(log1p.f64 (+.f64 2 (expm1.f64 a)))
(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 2 (expm1.f64 a)))) 3))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1/6) (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))) (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log1p.f64 (-.f64 (exp.f64 a) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) (sqrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1/6) (.f64 (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2) (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))) (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2) 1) (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2) (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1/6)) (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1/6) 3) (pow.f64 (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))) 2) 3) (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 3 (expm1.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (exp.f64 a) -1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log1p.f64 (-.f64 (exp.f64 a) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) (sqrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1/6) (.f64 (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2) (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))) (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2) 1) (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2) (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1/6)) (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1/6) 3) (pow.f64 (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))) 2) 3) (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 3 (expm1.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (expm1.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (expm1.f64 a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 3 (expm1.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 3 (expm1.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (-.f64 2 (expm1.f64 a))) (/.f64 (pow.f64 (expm1.f64 a) 2) (-.f64 2 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (exp.f64 a) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (exp.f64 a) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (exp.f64 a) -1)) (sqrt.f64 (-.f64 (exp.f64 a) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (exp.f64 a) -1)) (cbrt.f64 (pow.f64 (-.f64 (exp.f64 a) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 a) -1) 2)) (cbrt.f64 (-.f64 (exp.f64 a) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (/.f64 1 (-.f64 2 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (/.f64 1 (+.f64 4 (.f64 (expm1.f64 a) (-.f64 (expm1.f64 a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 2 (expm1.f64 a)) (-.f64 4 (pow.f64 (expm1.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 4 (.f64 (expm1.f64 a) (-.f64 (expm1.f64 a) 2))) (+.f64 8 (pow.f64 (expm1.f64 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (-.f64 2 (expm1.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (+.f64 4 (.f64 (expm1.f64 a) (-.f64 (expm1.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (+.f64 (pow.f64 (expm1.f64 a) 2) (-.f64 4 (.f64 2 (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (expm1.f64 a) 2) 4) (-.f64 (expm1.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 3 (expm1.f64 a)) (+.f64 3 (expm1.f64 a))) 1) (+.f64 (+.f64 3 (expm1.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 3 (expm1.f64 a)) 3) 1) (+.f64 (.f64 (+.f64 3 (expm1.f64 a)) (+.f64 3 (expm1.f64 a))) (+.f64 1 (.f64 (+.f64 3 (expm1.f64 a)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (neg.f64 (-.f64 2 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (neg.f64 (+.f64 4 (.f64 (expm1.f64 a) (-.f64 (expm1.f64 a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (exp.f64 a) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (exp.f64 a) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (exp.f64 a) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (exp.f64 a) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (exp.f64 a) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (exp.f64 a) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (exp.f64 a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (exp.f64 a) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (exp.f64 a) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 (exp.f64 a) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (exp.f64 a) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (expm1.f64 a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (expm1.f64 a)) (sqrt.f64 (expm1.f64 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 a)) 2) (cbrt.f64 (expm1.f64 a)) 2)))))

simplify94.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1474×	`associate-+r+`
1336×	`associate-+l+`
838×	`+-commutative`
538×	`associate-r`
474×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	307	7216
1	880	6572
2	3503	6542

Stop Event

1×	node limit

Counts

152 → 161

Calls

Call 1

Inputs
(pow.f64 (log.f64 3) 1/3)
(+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/9) a)) (pow.f64 (log.f64 3) 1/3))
(+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/9) a)) (+.f64 (pow.f64 (log.f64 3) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/3) (.f64 (pow.f64 a 2) (-.f64 1/9 (.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9))))))))
(+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/9) a)) (+.f64 (pow.f64 (log.f64 3) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/3) (.f64 (pow.f64 a 3) (-.f64 1/81 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/9) (-.f64 1/9 (.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9))))) (.f64 1/729 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/3))))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/3) (.f64 (pow.f64 a 2) (-.f64 1/9 (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9)))))))))
(pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 1/3)
(*.f64 (pow.f64 1 1/3) (log.f64 3))
(+.f64 (.f64 a (+.f64 (.f64 2/9 (pow.f64 (.f64 1 (pow.f64 (log.f64 3) 4)) 1/9)) (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 (log.f64 3) 4)) 1/9)))) (.f64 (pow.f64 1 1/3) (log.f64 3)))
(+.f64 (.f64 a (+.f64 (.f64 2/9 (pow.f64 (.f64 1 (pow.f64 (log.f64 3) 4)) 1/9)) (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 (log.f64 3) 4)) 1/9)))) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 (+.f64 (.f64 1/81 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 4)) 1/9)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/3) (-.f64 1/9 (.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9)))))) (pow.f64 (.f64 1 (log.f64 3)) 1/3)) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 1/9 (.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9))))) (.f64 2/81 (pow.f64 (/.f64 1 (log.f64 3)) 1/9))))) (*.f64 (pow.f64 1 1/3) (log.f64 3))))
(+.f64 (.f64 a (+.f64 (.f64 2/9 (pow.f64 (.f64 1 (pow.f64 (log.f64 3) 4)) 1/9)) (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 (log.f64 3) 4)) 1/9)))) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 (+.f64 (.f64 1/81 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 4)) 1/9)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/3) (-.f64 1/9 (.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9)))))) (pow.f64 (.f64 1 (log.f64 3)) 1/3)) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 1/9 (.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9))))) (.f64 2/81 (pow.f64 (/.f64 1 (log.f64 3)) 1/9))))) (+.f64 (.f64 (pow.f64 1 1/3) (log.f64 3)) (.f64 (pow.f64 a 3) (+.f64 (.f64 (pow.f64 (.f64 1 (log.f64 3)) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/3) (-.f64 1/81 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/9) (-.f64 1/9 (.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9))))) (.f64 1/729 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/3)))))) (.f64 2/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 8)) 1/9) (-.f64 1/9 (.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 1/81 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/9) (-.f64 1/9 (.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9))))) (.f64 1/729 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/3)))))) (+.f64 (.f64 1/9 (.f64 (+.f64 (.f64 1/81 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 4)) 1/9)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/3) (-.f64 1/9 (.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9)))))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/9))) (.f64 2/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/9) (-.f64 1/9 (.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9))))))))))))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 2 (exp.f64 a))))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 2 (exp.f64 a))))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 2 (exp.f64 a))))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 2 (exp.f64 a))))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 2 (exp.f64 a))))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 2 (exp.f64 a))))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 2 (exp.f64 a))))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 2 (exp.f64 a))))
(log.f64 3)
(+.f64 (*.f64 1/3 a) (log.f64 3))
(+.f64 (.f64 1/3 a) (+.f64 (.f64 1/9 (pow.f64 a 2)) (log.f64 3)))
(+.f64 (.f64 1/81 (pow.f64 a 3)) (+.f64 (.f64 1/3 a) (+.f64 (*.f64 1/9 (pow.f64 a 2)) (log.f64 3))))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(-.f64 (pow.f64 3 (pow.f64 1 1/3)) 1)
(-.f64 (+.f64 (.f64 a (.f64 (+.f64 (.f64 2/9 (pow.f64 (.f64 1 (pow.f64 (log.f64 3) 4)) 1/9)) (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 (log.f64 3) 4)) 1/9))) (pow.f64 3 (pow.f64 1 1/3)))) (pow.f64 3 (pow.f64 1 1/3))) 1)
(-.f64 (+.f64 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 (+.f64 (.f64 1/81 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 4)) 1/9)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/3) (-.f64 1/9 (.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9)))))) (pow.f64 (.f64 1 (log.f64 3)) 1/3)) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 1/9 (.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9))))) (+.f64 (.f64 2/81 (pow.f64 (/.f64 1 (log.f64 3)) 1/9)) (.f64 1/2 (pow.f64 (+.f64 (.f64 2/9 (pow.f64 (.f64 1 (pow.f64 (log.f64 3) 4)) 1/9)) (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 (log.f64 3) 4)) 1/9))) 2))))) (pow.f64 3 (pow.f64 1 1/3)))) (+.f64 (.f64 a (.f64 (+.f64 (.f64 2/9 (pow.f64 (.f64 1 (pow.f64 (log.f64 3) 4)) 1/9)) (.f64 1/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 3) 4)) 1/9))) (pow.f64 3 (pow.f64 1 1/3)))) (pow.f64 3 (pow.f64 1 1/3)))) 1)
(-.f64 (+.f64 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 (+.f64 (.f64 1/81 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 4)) 1/9)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/3) (-.f64 1/9 (.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9)))))) (pow.f64 (.f64 1 (log.f64 3)) 1/3)) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 1/9 (.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9))))) (+.f64 (.f64 2/81 (pow.f64 (/.f64 1 (log.f64 3)) 1/9)) (.f64 1/2 (pow.f64 (+.f64 (.f64 2/9 (pow.f64 (.f64 1 (pow.f64 (log.f64 3) 4)) 1/9)) (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 (log.f64 3) 4)) 1/9))) 2))))) (pow.f64 3 (pow.f64 1 1/3)))) (+.f64 (.f64 a (.f64 (+.f64 (.f64 2/9 (pow.f64 (.f64 1 (pow.f64 (log.f64 3) 4)) 1/9)) (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 (log.f64 3) 4)) 1/9))) (pow.f64 3 (pow.f64 1 1/3)))) (+.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (+.f64 (.f64 2/9 (pow.f64 (.f64 1 (pow.f64 (log.f64 3) 4)) 1/9)) (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 (log.f64 3) 4)) 1/9))) 3)) (+.f64 (.f64 (pow.f64 (.f64 1 (log.f64 3)) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/3) (-.f64 1/81 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/9) (-.f64 1/9 (.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9))))) (.f64 1/729 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/3)))))) (.f64 2/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 8)) 1/9) (-.f64 1/9 (.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9))))))) (+.f64 (.f64 (+.f64 (.f64 2/9 (pow.f64 (.f64 1 (pow.f64 (log.f64 3) 4)) 1/9)) (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 (log.f64 3) 4)) 1/9))) (+.f64 (.f64 (+.f64 (.f64 1/81 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 4)) 1/9)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/3) (-.f64 1/9 (.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9)))))) (pow.f64 (.f64 1 (log.f64 3)) 1/3)) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 1/9 (.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9))))) (.f64 2/81 (pow.f64 (/.f64 1 (log.f64 3)) 1/9))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 1/81 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/9) (-.f64 1/9 (.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9))))) (.f64 1/729 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/3)))))) (+.f64 (.f64 1/9 (.f64 (+.f64 (.f64 1/81 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 4)) 1/9)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/3) (-.f64 1/9 (.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9)))))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/9))) (.f64 2/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/9) (-.f64 1/9 (.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9)))))))))) (*.f64 (pow.f64 a 3) (pow.f64 3 (pow.f64 1 1/3)))) (pow.f64 3 (pow.f64 1 1/3))))) 1)
(-.f64 (pow.f64 (+.f64 2 (exp.f64 a)) (pow.f64 1 1/3)) 1)
(-.f64 (pow.f64 (+.f64 2 (exp.f64 a)) (pow.f64 1 1/3)) 1)
(-.f64 (pow.f64 (+.f64 2 (exp.f64 a)) (pow.f64 1 1/3)) 1)
(-.f64 (pow.f64 (+.f64 2 (exp.f64 a)) (pow.f64 1 1/3)) 1)
(-.f64 (pow.f64 (+.f64 2 (exp.f64 a)) (pow.f64 1 1/3)) 1)
(-.f64 (pow.f64 (+.f64 2 (exp.f64 a)) (pow.f64 1 1/3)) 1)
(-.f64 (pow.f64 (+.f64 2 (exp.f64 a)) (pow.f64 1 1/3)) 1)
(-.f64 (pow.f64 (+.f64 2 (exp.f64 a)) (pow.f64 1 1/3)) 1)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 1)
(*.f64 1 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))))
(*.f64 (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1/6) (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))) (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 1/3))
(pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 1)
(pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1/3)
(pow.f64 (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2))
(log.f64 (exp.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))))
(exp.f64 (log.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))) 1))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2))
(*.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1)
(*.f64 1 (log1p.f64 (-.f64 (exp.f64 a) -1)))
(*.f64 (sqrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) (sqrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))))
(.f64 (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1/6) (.f64 (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2) (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))) (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2) 1) (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2) (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1/6)) (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1/6) 3) (pow.f64 (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1/6) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))) 2) 3) (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))))
(sqrt.f64 (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 2))
(log.f64 (+.f64 3 (expm1.f64 a)))
(cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))))
(exp.f64 (log.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 1))
(log1p.f64 (-.f64 (exp.f64 a) -1))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2))
(*.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1)
(*.f64 1 (log1p.f64 (-.f64 (exp.f64 a) -1)))
(*.f64 (sqrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) (sqrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))))
(.f64 (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1/6) (.f64 (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2) (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))) (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2) 1) (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2) (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1/6)) (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1/6) 3) (pow.f64 (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1/6) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))) 2) 3) (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))))
(pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 3)
(pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2)
(pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2) 3/2)
(pow.f64 (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 2))
(log.f64 (+.f64 3 (expm1.f64 a)))
(cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))))
(exp.f64 (log.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 1))
(+.f64 2 (expm1.f64 a))
(+.f64 (expm1.f64 a) 2)
(+.f64 (+.f64 3 (expm1.f64 a)) -1)
(-.f64 (+.f64 3 (expm1.f64 a)) 1)
(-.f64 (exp.f64 a) -1)
(-.f64 (+.f64 2 (exp.f64 a)) 1)
(-.f64 (/.f64 4 (-.f64 2 (expm1.f64 a))) (/.f64 (pow.f64 (expm1.f64 a) 2) (-.f64 2 (expm1.f64 a))))
(*.f64 (-.f64 (exp.f64 a) -1) 1)
(*.f64 1 (-.f64 (exp.f64 a) -1))
(*.f64 (sqrt.f64 (-.f64 (exp.f64 a) -1)) (sqrt.f64 (-.f64 (exp.f64 a) -1)))
(*.f64 (cbrt.f64 (-.f64 (exp.f64 a) -1)) (cbrt.f64 (pow.f64 (-.f64 (exp.f64 a) -1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 a) -1) 2)) (cbrt.f64 (-.f64 (exp.f64 a) -1)))
(*.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (/.f64 1 (-.f64 2 (expm1.f64 a))))
(.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (/.f64 1 (+.f64 4 (.f64 (expm1.f64 a) (-.f64 (expm1.f64 a) 2)))))
(/.f64 1 (/.f64 (-.f64 2 (expm1.f64 a)) (-.f64 4 (pow.f64 (expm1.f64 a) 2))))
(/.f64 1 (/.f64 (+.f64 4 (*.f64 (expm1.f64 a) (-.f64 (expm1.f64 a) 2))) (+.f64 8 (pow.f64 (expm1.f64 a) 3))))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (-.f64 2 (expm1.f64 a)))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (+.f64 4 (*.f64 (expm1.f64 a) (-.f64 (expm1.f64 a) 2))))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (+.f64 (pow.f64 (expm1.f64 a) 2) (-.f64 4 (*.f64 2 (expm1.f64 a)))))
(/.f64 (-.f64 (pow.f64 (expm1.f64 a) 2) 4) (-.f64 (expm1.f64 a) 2))
(/.f64 (-.f64 (*.f64 (+.f64 3 (expm1.f64 a)) (+.f64 3 (expm1.f64 a))) 1) (+.f64 (+.f64 3 (expm1.f64 a)) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 3 (expm1.f64 a)) 3) 1) (+.f64 (.f64 (+.f64 3 (expm1.f64 a)) (+.f64 3 (expm1.f64 a))) (+.f64 1 (.f64 (+.f64 3 (expm1.f64 a)) 1))))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (neg.f64 (-.f64 2 (expm1.f64 a))))
(/.f64 (neg.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (neg.f64 (+.f64 4 (*.f64 (expm1.f64 a) (-.f64 (expm1.f64 a) 2)))))
(pow.f64 (-.f64 (exp.f64 a) -1) 1)
(pow.f64 (sqrt.f64 (-.f64 (exp.f64 a) -1)) 2)
(pow.f64 (cbrt.f64 (-.f64 (exp.f64 a) -1)) 3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 a) -1) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 a) -1) 2))
(log.f64 (exp.f64 (-.f64 (exp.f64 a) -1)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (exp.f64 a) -1))))
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 a) -1) 3))
(exp.f64 (log.f64 (-.f64 (exp.f64 a) -1)))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 a) -1)) 1))
(log1p.f64 (expm1.f64 (-.f64 (exp.f64 a) -1)))
(fma.f64 1 (expm1.f64 a) 2)
(fma.f64 (sqrt.f64 (expm1.f64 a)) (sqrt.f64 (expm1.f64 a)) 2)
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 a)) 2) (cbrt.f64 (expm1.f64 a)) 2)

Outputs
(pow.f64 (log.f64 3) 1/3)
(cbrt.f64 (log.f64 3))
(+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/9) a)) (pow.f64 (log.f64 3) 1/3))
(fma.f64 1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/18)) a) (cbrt.f64 (log.f64 3)))
(+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/9) a)) (+.f64 (pow.f64 (log.f64 3) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/3) (.f64 (pow.f64 a 2) (-.f64 1/9 (.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9))))))))
(+.f64 (fma.f64 1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/18)) a) (cbrt.f64 (log.f64 3))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 3) 2))) (.f64 (.f64 a a) (-.f64 1/9 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (pow.f64 (/.f64 1 (log.f64 3)) 1/18))))))))
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(cbrt.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))
(*.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 1)
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(*.f64 1 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))))
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(cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))
(cbrt.f64 (log1p.f64 (+.f64 2 (expm1.f64 a))))
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(pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1/3)
(cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))
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(cbrt.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))
(pow.f64 (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1/6) 2)
(cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))
(cbrt.f64 (log1p.f64 (+.f64 2 (expm1.f64 a))))
(cbrt.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))
(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))) 3)
(cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))
(cbrt.f64 (log1p.f64 (+.f64 2 (expm1.f64 a))))
(cbrt.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))
(sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2))
(cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))
(cbrt.f64 (log1p.f64 (+.f64 2 (expm1.f64 a))))
(cbrt.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))
(log.f64 (exp.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))))
(cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))
(cbrt.f64 (log1p.f64 (+.f64 2 (expm1.f64 a))))
(cbrt.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))))))
(cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))
(cbrt.f64 (log1p.f64 (+.f64 2 (expm1.f64 a))))
(cbrt.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))))
(cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))
(cbrt.f64 (log1p.f64 (+.f64 2 (expm1.f64 a))))
(cbrt.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))
(exp.f64 (log.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))))
(cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))
(cbrt.f64 (log1p.f64 (+.f64 2 (expm1.f64 a))))
(cbrt.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))) 1))
(cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))
(cbrt.f64 (log1p.f64 (+.f64 2 (expm1.f64 a))))
(cbrt.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 1/3))
(cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))
(cbrt.f64 (log1p.f64 (+.f64 2 (expm1.f64 a))))
(cbrt.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))))
(cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))
(cbrt.f64 (log1p.f64 (+.f64 2 (expm1.f64 a))))
(cbrt.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))) 1)
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(log1p.f64 (+.f64 (exp.f64 a) 1))
(log1p.f64 (+.f64 2 (expm1.f64 a)))
(log1p.f64 (+.f64 1 (exp.f64 a)))
(*.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1)
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(*.f64 1 (log1p.f64 (-.f64 (exp.f64 a) -1)))
(log1p.f64 (+.f64 (exp.f64 a) 1))
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(.f64 (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1/6) (.f64 (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2)))
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(log1p.f64 (+.f64 2 (expm1.f64 a)))
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(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2) (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1/6)) (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1/6))
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(log1p.f64 (+.f64 1 (exp.f64 a)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))))
(log1p.f64 (+.f64 (exp.f64 a) 1))
(log1p.f64 (+.f64 2 (expm1.f64 a)))
(log1p.f64 (+.f64 1 (exp.f64 a)))
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(log1p.f64 (+.f64 (exp.f64 a) 1))
(log1p.f64 (+.f64 2 (expm1.f64 a)))
(log1p.f64 (+.f64 1 (exp.f64 a)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)))) 2) 3) (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))))
(log1p.f64 (+.f64 (exp.f64 a) 1))
(log1p.f64 (+.f64 2 (expm1.f64 a)))
(log1p.f64 (+.f64 1 (exp.f64 a)))
(pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 3)
(log1p.f64 (+.f64 (exp.f64 a) 1))
(log1p.f64 (+.f64 2 (expm1.f64 a)))
(log1p.f64 (+.f64 1 (exp.f64 a)))
(pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 1)
(log1p.f64 (+.f64 (exp.f64 a) 1))
(log1p.f64 (+.f64 2 (expm1.f64 a)))
(log1p.f64 (+.f64 1 (exp.f64 a)))
(pow.f64 (sqrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2)
(log1p.f64 (+.f64 (exp.f64 a) 1))
(log1p.f64 (+.f64 2 (expm1.f64 a)))
(log1p.f64 (+.f64 1 (exp.f64 a)))
(pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 2) 3/2)
(pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) 1))) 2) 3/2)
(pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 2 (expm1.f64 a)))) 2) 3/2)
(pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 1 (exp.f64 a)))) 2) 3/2)
(pow.f64 (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 3) 1/3)
(log1p.f64 (+.f64 (exp.f64 a) 1))
(log1p.f64 (+.f64 2 (expm1.f64 a)))
(log1p.f64 (+.f64 1 (exp.f64 a)))
(sqrt.f64 (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 2))
(log1p.f64 (+.f64 (exp.f64 a) 1))
(log1p.f64 (+.f64 2 (expm1.f64 a)))
(log1p.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 3 (expm1.f64 a)))
(*.f64 1 (log.f64 (+.f64 2 (exp.f64 a))))
(log.f64 (+.f64 2 (exp.f64 a)))
(cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (exp.f64 a) -1)) 3))
(log1p.f64 (+.f64 (exp.f64 a) 1))
(log1p.f64 (+.f64 2 (expm1.f64 a)))
(log1p.f64 (+.f64 1 (exp.f64 a)))
(expm1.f64 (log1p.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))))
(log1p.f64 (+.f64 (exp.f64 a) 1))
(log1p.f64 (+.f64 2 (expm1.f64 a)))
(log1p.f64 (+.f64 1 (exp.f64 a)))
(exp.f64 (log.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))))
(log1p.f64 (+.f64 (exp.f64 a) 1))
(log1p.f64 (+.f64 2 (expm1.f64 a)))
(log1p.f64 (+.f64 1 (exp.f64 a)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (-.f64 (exp.f64 a) -1))) 1))
(log1p.f64 (+.f64 (exp.f64 a) 1))
(log1p.f64 (+.f64 2 (expm1.f64 a)))
(log1p.f64 (+.f64 1 (exp.f64 a)))
(+.f64 2 (expm1.f64 a))
(+.f64 (pow.f64 (+.f64 2 (exp.f64 a)) 1) -1)
(+.f64 1 (exp.f64 a))
(+.f64 (expm1.f64 a) 2)
(+.f64 (pow.f64 (+.f64 2 (exp.f64 a)) 1) -1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 (+.f64 3 (expm1.f64 a)) -1)
(+.f64 (pow.f64 (+.f64 2 (exp.f64 a)) 1) -1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(-.f64 (+.f64 3 (expm1.f64 a)) 1)
(+.f64 (pow.f64 (+.f64 2 (exp.f64 a)) 1) -1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(-.f64 (exp.f64 a) -1)
(+.f64 (pow.f64 (+.f64 2 (exp.f64 a)) 1) -1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(-.f64 (+.f64 2 (exp.f64 a)) 1)
(+.f64 (pow.f64 (+.f64 2 (exp.f64 a)) 1) -1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(-.f64 (/.f64 4 (-.f64 2 (expm1.f64 a))) (/.f64 (pow.f64 (expm1.f64 a) 2) (-.f64 2 (expm1.f64 a))))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (-.f64 2 (expm1.f64 a)))
(/.f64 (+.f64 (pow.f64 (expm1.f64 a) 2) -4) (+.f64 (exp.f64 a) -3))
(*.f64 (-.f64 (exp.f64 a) -1) 1)
(+.f64 (pow.f64 (+.f64 2 (exp.f64 a)) 1) -1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(*.f64 1 (-.f64 (exp.f64 a) -1))
(+.f64 (pow.f64 (+.f64 2 (exp.f64 a)) 1) -1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(*.f64 (sqrt.f64 (-.f64 (exp.f64 a) -1)) (sqrt.f64 (-.f64 (exp.f64 a) -1)))
(+.f64 (pow.f64 (+.f64 2 (exp.f64 a)) 1) -1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(*.f64 (cbrt.f64 (-.f64 (exp.f64 a) -1)) (cbrt.f64 (pow.f64 (-.f64 (exp.f64 a) -1) 2)))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2)))
(*.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) (cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 a)) 2)))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 a) -1) 2)) (cbrt.f64 (-.f64 (exp.f64 a) -1)))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2)))
(*.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) (cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 a)) 2)))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(*.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (/.f64 1 (-.f64 2 (expm1.f64 a))))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (-.f64 2 (expm1.f64 a)))
(/.f64 (+.f64 (pow.f64 (expm1.f64 a) 2) -4) (+.f64 (exp.f64 a) -3))
(.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (/.f64 1 (+.f64 4 (.f64 (expm1.f64 a) (-.f64 (expm1.f64 a) 2)))))
(.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (/.f64 1 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (expm1.f64 a) -2)))))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (fma.f64 (expm1.f64 a) (+.f64 (expm1.f64 a) -2) 4))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (fma.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3) 4))
(/.f64 1 (/.f64 (-.f64 2 (expm1.f64 a)) (-.f64 4 (pow.f64 (expm1.f64 a) 2))))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (-.f64 2 (expm1.f64 a)))
(/.f64 (+.f64 (pow.f64 (expm1.f64 a) 2) -4) (+.f64 (exp.f64 a) -3))
(/.f64 1 (/.f64 (+.f64 4 (*.f64 (expm1.f64 a) (-.f64 (expm1.f64 a) 2))) (+.f64 8 (pow.f64 (expm1.f64 a) 3))))
(.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (/.f64 1 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (expm1.f64 a) -2)))))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (fma.f64 (expm1.f64 a) (+.f64 (expm1.f64 a) -2) 4))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (fma.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3) 4))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (-.f64 2 (expm1.f64 a)))
(/.f64 (+.f64 (pow.f64 (expm1.f64 a) 2) -4) (+.f64 (exp.f64 a) -3))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (+.f64 4 (*.f64 (expm1.f64 a) (-.f64 (expm1.f64 a) 2))))
(.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (/.f64 1 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (expm1.f64 a) -2)))))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (fma.f64 (expm1.f64 a) (+.f64 (expm1.f64 a) -2) 4))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (fma.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3) 4))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (+.f64 (pow.f64 (expm1.f64 a) 2) (-.f64 4 (*.f64 2 (expm1.f64 a)))))
(.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (/.f64 1 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (expm1.f64 a) -2)))))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (fma.f64 (expm1.f64 a) (+.f64 (expm1.f64 a) -2) 4))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (fma.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3) 4))
(/.f64 (-.f64 (pow.f64 (expm1.f64 a) 2) 4) (-.f64 (expm1.f64 a) 2))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (-.f64 2 (expm1.f64 a)))
(/.f64 (+.f64 (pow.f64 (expm1.f64 a) 2) -4) (+.f64 (exp.f64 a) -3))
(/.f64 (-.f64 (*.f64 (+.f64 3 (expm1.f64 a)) (+.f64 3 (expm1.f64 a))) 1) (+.f64 (+.f64 3 (expm1.f64 a)) 1))
(+.f64 (pow.f64 (+.f64 2 (exp.f64 a)) 1) -1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(/.f64 (-.f64 (pow.f64 (+.f64 3 (expm1.f64 a)) 3) 1) (+.f64 (.f64 (+.f64 3 (expm1.f64 a)) (+.f64 3 (expm1.f64 a))) (+.f64 1 (.f64 (+.f64 3 (expm1.f64 a)) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 3 (expm1.f64 a)) 3) -1) (fma.f64 (+.f64 3 (expm1.f64 a)) (+.f64 3 (expm1.f64 a)) (+.f64 3 (+.f64 (expm1.f64 a) 1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 3 (expm1.f64 a)) 3)) (fma.f64 (+.f64 3 (expm1.f64 a)) (+.f64 3 (expm1.f64 a)) (+.f64 4 (expm1.f64 a))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 2 (exp.f64 a)) 3)) (+.f64 1 (*.f64 (+.f64 2 (exp.f64 a)) (-.f64 (exp.f64 a) -3))))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (neg.f64 (-.f64 2 (expm1.f64 a))))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (-.f64 2 (expm1.f64 a)))
(/.f64 (+.f64 (pow.f64 (expm1.f64 a) 2) -4) (+.f64 (exp.f64 a) -3))
(/.f64 (neg.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (neg.f64 (+.f64 4 (*.f64 (expm1.f64 a) (-.f64 (expm1.f64 a) 2)))))
(.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (/.f64 1 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (expm1.f64 a) -2)))))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (fma.f64 (expm1.f64 a) (+.f64 (expm1.f64 a) -2) 4))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (fma.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3) 4))
(pow.f64 (-.f64 (exp.f64 a) -1) 1)
(+.f64 (pow.f64 (+.f64 2 (exp.f64 a)) 1) -1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(pow.f64 (sqrt.f64 (-.f64 (exp.f64 a) -1)) 2)
(+.f64 (pow.f64 (+.f64 2 (exp.f64 a)) 1) -1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(pow.f64 (cbrt.f64 (-.f64 (exp.f64 a) -1)) 3)
(+.f64 (pow.f64 (+.f64 2 (exp.f64 a)) 1) -1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(pow.f64 (pow.f64 (-.f64 (exp.f64 a) -1) 3) 1/3)
(+.f64 (pow.f64 (+.f64 2 (exp.f64 a)) 1) -1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 a) -1) 2))
(+.f64 (pow.f64 (+.f64 2 (exp.f64 a)) 1) -1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(log.f64 (exp.f64 (-.f64 (exp.f64 a) -1)))
(+.f64 (pow.f64 (+.f64 2 (exp.f64 a)) 1) -1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (exp.f64 a) -1))))
(+.f64 (pow.f64 (+.f64 2 (exp.f64 a)) 1) -1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 a) -1) 3))
(+.f64 (pow.f64 (+.f64 2 (exp.f64 a)) 1) -1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(exp.f64 (log.f64 (-.f64 (exp.f64 a) -1)))
(+.f64 (pow.f64 (+.f64 2 (exp.f64 a)) 1) -1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 a) -1)) 1))
(+.f64 (pow.f64 (+.f64 2 (exp.f64 a)) 1) -1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(log1p.f64 (expm1.f64 (-.f64 (exp.f64 a) -1)))
(+.f64 (pow.f64 (+.f64 2 (exp.f64 a)) 1) -1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(fma.f64 1 (expm1.f64 a) 2)
(+.f64 (pow.f64 (+.f64 2 (exp.f64 a)) 1) -1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(fma.f64 (sqrt.f64 (expm1.f64 a)) (sqrt.f64 (expm1.f64 a)) 2)
(+.f64 (pow.f64 (+.f64 2 (exp.f64 a)) 1) -1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 a)) 2) (cbrt.f64 (expm1.f64 a)) 2)
(+.f64 (pow.f64 (+.f64 2 (exp.f64 a)) 1) -1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))

localize6.0ms (0%)

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite56.0ms (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))))))

simplify54.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

40 → 45

Calls

Call 1

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

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 23 computations (23.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite83.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1134×	`distribute-rgt-in`
1102×	`distribute-lft-in`
448×	`associate-/r*`
400×	`associate-/l*`
346×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	266	21
2	3624	21

Stop Event

1×	node limit

Counts

1 → 105

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/2 a))) (-.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/2 a))) (-.f64 1 (*.f64 (+.f64 (log.f64 2) (*.f64 1/2 b)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 b 1/2 (fma.f64 1/2 a (log.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 a (log.f64 2)))) (-.f64 1 (*.f64 1/2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/2 b))) (-.f64 1 (fma.f64 1/2 a (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 2))) (-.f64 1 (+.f64 (*.f64 1/2 a) (*.f64 1/2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/4 (*.f64 a a)) (-.f64 (*.f64 1/2 a) (log.f64 2))) (-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 a) (log.f64 2))) (*.f64 1/2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 2) (-.f64 (fma.f64 1/2 a (log.f64 2)) (*.f64 1/2 b))) (/.f64 (*.f64 (*.f64 b b) 1/4) (-.f64 (fma.f64 1/2 a (log.f64 2)) (*.f64 1/2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 1/2 a (log.f64 2)) (exp.f64 (log1p.f64 (*.f64 1/2 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/2 b) (exp.f64 (log1p.f64 (fma.f64 1/2 a (log.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/2 b) (/.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 (+.f64 (+.f64 (log.f64 2) (*.f64 1/2 b)) (exp.f64 (log1p.f64 (*.f64 1/2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (*.f64 1/2 a) (*.f64 1/2 b)) (exp.f64 (log1p.f64 (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 b 1/2 (fma.f64 1/2 a (log.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 b 1/2 (fma.f64 1/2 a (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 b 1/2 (fma.f64 1/2 a (log.f64 2)))) (sqrt.f64 (fma.f64 b 1/2 (fma.f64 1/2 a (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b 1/2 (fma.f64 1/2 a (log.f64 2)))) (pow.f64 (cbrt.f64 (fma.f64 b 1/2 (fma.f64 1/2 a (log.f64 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 b 1/2 (fma.f64 1/2 a (log.f64 2)))) 2) (cbrt.f64 (fma.f64 b 1/2 (fma.f64 1/2 a (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 2) (*.f64 (*.f64 b b) 1/4)) (/.f64 1 (-.f64 (fma.f64 1/2 a (log.f64 2)) (*.f64 1/2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 3) (*.f64 (pow.f64 b 3) 1/8)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 2) (*.f64 (*.f64 1/2 b) 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1/2 b) (fma.f64 b 1/2 (fma.f64 1/2 a (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 2) (*.f64 (*.f64 b b) 1/4)) (-.f64 (*.f64 (-.f64 (*.f64 1/4 (*.f64 a a)) (pow.f64 (log.f64 2) 2)) 2) (*.f64 (-.f64 (*.f64 1/2 a) (log.f64 2)) b))) (*.f64 (-.f64 (*.f64 1/2 a) (log.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 2) (*.f64 (*.f64 b b) 1/4)) (-.f64 (*.f64 (-.f64 (*.f64 1/4 (*.f64 a a)) (pow.f64 (log.f64 2) 2)) (/.f64 2 b)) (*.f64 (-.f64 (*.f64 1/2 a) (log.f64 2)) 1))) (*.f64 (-.f64 (*.f64 1/2 a) (log.f64 2)) (/.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 2) (*.f64 (*.f64 b b) 1/4)) (-.f64 (*.f64 (-.f64 (*.f64 1/4 (*.f64 a a)) (pow.f64 (log.f64 2) 2)) -2) (*.f64 (-.f64 (*.f64 1/2 a) (log.f64 2)) (neg.f64 b)))) (*.f64 (-.f64 (*.f64 1/2 a) (log.f64 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 2) (*.f64 (*.f64 b b) 1/4)) (-.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 a 3)) (pow.f64 (log.f64 2) 3)) 2) (*.f64 (+.f64 (*.f64 1/4 (*.f64 a a)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 a)))) b))) (*.f64 (+.f64 (*.f64 1/4 (*.f64 a a)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 2) (*.f64 (*.f64 b b) 1/4)) (-.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 a 3)) (pow.f64 (log.f64 2) 3)) (/.f64 2 b)) (*.f64 (+.f64 (*.f64 1/4 (*.f64 a a)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 a)))) 1))) (*.f64 (+.f64 (*.f64 1/4 (*.f64 a a)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 a)))) (/.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 2) (*.f64 (*.f64 b b) 1/4)) (-.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 a 3)) (pow.f64 (log.f64 2) 3)) -2) (*.f64 (+.f64 (*.f64 1/4 (*.f64 a a)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 a)))) (neg.f64 b)))) (*.f64 (+.f64 (*.f64 1/4 (*.f64 a a)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 a)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 3) (*.f64 (pow.f64 b 3) 1/8)) (-.f64 (*.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 2) (pow.f64 (fma.f64 1/2 a (log.f64 2)) 2)) (*.f64 (*.f64 (*.f64 1/2 b) (-.f64 (*.f64 1/2 b) (fma.f64 1/2 a (log.f64 2)))) (*.f64 (*.f64 1/2 b) (-.f64 (*.f64 1/2 b) (fma.f64 1/2 a (log.f64 2))))))) (-.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 2) (*.f64 (*.f64 1/2 b) (-.f64 (*.f64 1/2 b) (fma.f64 1/2 a (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 3) (*.f64 (pow.f64 b 3) 1/8)) (+.f64 (pow.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 2) 3) (pow.f64 (*.f64 (*.f64 1/2 b) (-.f64 (*.f64 1/2 b) (fma.f64 1/2 a (log.f64 2)))) 3))) (+.f64 (*.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 2) (pow.f64 (fma.f64 1/2 a (log.f64 2)) 2)) (-.f64 (*.f64 (*.f64 (*.f64 1/2 b) (-.f64 (*.f64 1/2 b) (fma.f64 1/2 a (log.f64 2)))) (*.f64 (*.f64 1/2 b) (-.f64 (*.f64 1/2 b) (fma.f64 1/2 a (log.f64 2))))) (*.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 2) (*.f64 (*.f64 1/2 b) (-.f64 (*.f64 1/2 b) (fma.f64 1/2 a (log.f64 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 b 1/2 (fma.f64 1/2 a (log.f64 2))) (/.f64 (-.f64 (fma.f64 1/2 a (log.f64 2)) (*.f64 1/2 b)) (-.f64 (fma.f64 1/2 a (log.f64 2)) (*.f64 1/2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 b 1/2 (fma.f64 1/2 a (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 2) (*.f64 (*.f64 b b) 1/4)) (-.f64 (fma.f64 1/2 a (log.f64 2)) (*.f64 1/2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 3) (*.f64 (pow.f64 b 3) 1/8)) (+.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 2) (*.f64 (*.f64 1/2 b) (-.f64 (*.f64 1/2 b) (fma.f64 1/2 a (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 2) (*.f64 (*.f64 1/2 b) (-.f64 (*.f64 1/2 b) (fma.f64 1/2 a (log.f64 2))))) (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 2) (*.f64 (*.f64 1/2 b) (-.f64 (*.f64 1/2 b) (fma.f64 1/2 a (log.f64 2))))) (fma.f64 b 1/2 (fma.f64 1/2 a (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 3) (*.f64 (pow.f64 b 3) 1/8))) (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 2) (*.f64 (*.f64 1/2 b) (-.f64 (*.f64 1/2 b) (fma.f64 1/2 a (log.f64 2))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 3) (*.f64 (pow.f64 b 3) 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 2) (*.f64 (*.f64 b b) 1/4))) (/.f64 (-.f64 (fma.f64 1/2 a (log.f64 2)) (*.f64 1/2 b)) (sqrt.f64 (-.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 2) (*.f64 (*.f64 b b) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 3) (*.f64 (pow.f64 b 3) 1/8))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 3) (*.f64 (pow.f64 b 3) 1/8)))) (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 2) (*.f64 (*.f64 1/2 b) (-.f64 (*.f64 1/2 b) (fma.f64 1/2 a (log.f64 2))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 3) (*.f64 (pow.f64 b 3) 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 2) (*.f64 (*.f64 b b) 1/4))) (cbrt.f64 (-.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 2) (*.f64 (*.f64 b b) 1/4)))) (/.f64 (-.f64 (fma.f64 1/2 a (log.f64 2)) (*.f64 1/2 b)) (cbrt.f64 (-.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 2) (*.f64 (*.f64 b b) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/4 (*.f64 a a)) (*.f64 (+.f64 (log.f64 2) (*.f64 1/2 b)) (+.f64 (log.f64 2) (*.f64 1/2 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simplify110.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1730×	`associate-*r/`
900×	`+-commutative`
732×	`associate-+l+`
718×	`associate-+r+`
602×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	352	8887
1	1087	8481
2	4781	8457

Stop Event

1×	node limit

Counts

129 → 189

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log1p.f64 (exp.f64 a))
✓	0.0b	(fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))
✓	0.1b	(log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))
✓	1.5b	(exp.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))

Compiler

Compiled 31 to 14 computations (54.8% saved)

series31.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
15.0ms	a	@	inf	(log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))
12.0ms	a	@	-inf	(log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))
1.0ms	a	@	0	(log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))
0.0ms	b	@	inf	(log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))
0.0ms	b	@	0	(log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))

rewrite61.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1704×	`add-sqr-sqrt`
1688×	`*-un-lft-identity`
1558×	`add-cube-cbrt`
1540×	`add-cbrt-cube`
186×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	55
1	204	55
2	2127	55

Stop Event

1×	node limit

Counts

3 → 69

Calls

Call 1

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

Outputs

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

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

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

simplify89.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1142×	`fma-def`
820×	`unswap-sqr`
670×	`distribute-lft-in`
638×	`distribute-rgt-in`
540×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	3655
1	527	3565
2	1969	3507
3	7106	3507

Stop Event

1×	node limit

Counts

141 → 127

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(*.f64 1/2 b)
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 b))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 b))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 b))
(*.f64 1/2 b)
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 b))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 b))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 b))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 1/2 a) (+.f64 (.f64 1/2 b) (log.f64 2)))
(+.f64 (.f64 1/2 a) (+.f64 (.f64 1/2 b) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 a 2)))))
(+.f64 (.f64 1/2 a) (+.f64 (.f64 1/2 b) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 a 4)) (.f64 1/8 (pow.f64 a 2))))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(log.f64 (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 (/.f64 b (log.f64 (+.f64 1 (exp.f64 a))))) (log.f64 (log.f64 (+.f64 1 (exp.f64 a)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 2) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2))) (+.f64 (.f64 1/2 (/.f64 b (log.f64 (+.f64 1 (exp.f64 a))))) (log.f64 (log.f64 (+.f64 1 (exp.f64 a))))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 2) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2))) (+.f64 (.f64 1/2 (/.f64 b (log.f64 (+.f64 1 (exp.f64 a))))) (+.f64 (log.f64 (log.f64 (+.f64 1 (exp.f64 a)))) (*.f64 1/24 (/.f64 (pow.f64 b 3) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 3))))))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 b))))
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(+.f64 (.f64 -2 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (pow.f64 b 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (log.f64 1/2) (*.f64 2 (/.f64 (log.f64 (+.f64 1 (exp.f64 a))) b)))))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 3) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (pow.f64 b 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (log.f64 1/2) (.f64 2 (/.f64 (log.f64 (+.f64 1 (exp.f64 a))) b))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1/2))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1/2) (.f64 2 (/.f64 (log.f64 (+.f64 1 (exp.f64 a))) b))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1/2) (+.f64 (.f64 -2 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (pow.f64 b 2))) (*.f64 2 (/.f64 (log.f64 (+.f64 1 (exp.f64 a))) b)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1/2) (+.f64 (.f64 8/3 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 3) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (pow.f64 b 2))) (.f64 2 (/.f64 (log.f64 (+.f64 1 (exp.f64 a))) b))))))
(log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (.f64 1/2 (/.f64 a (+.f64 (.f64 1/2 b) (log.f64 2)))) (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))
(+.f64 (.f64 1/2 (/.f64 a (+.f64 (.f64 1/2 b) (log.f64 2)))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 (.f64 1/2 b) (log.f64 2)))) (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 b) (log.f64 2)) 2)))) (pow.f64 a 2))) (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))))
(+.f64 (.f64 1/2 (/.f64 a (+.f64 (.f64 1/2 b) (log.f64 2)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 b) (log.f64 2)) 3))) (.f64 3/8 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 b) (log.f64 2)) 2)))))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 (.f64 1/2 b) (log.f64 2)))) (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 b) (log.f64 2)) 2)))) (pow.f64 a 2))) (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))))
(log.f64 (+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 b)))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 b)))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 b)))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 b)))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(*.f64 1/2 b)
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 b))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 b))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 b))
(*.f64 1/2 b)
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 b))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 b))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 b))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 1/2 a) (+.f64 (.f64 1/2 b) (log.f64 2)))
(+.f64 (.f64 1/2 a) (+.f64 (.f64 1/2 b) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 a 2)))))
(+.f64 (.f64 1/2 a) (+.f64 (.f64 1/2 b) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 a 4)) (.f64 1/8 (pow.f64 a 2))))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (*.f64 b 1/2))
(+.f64 (*.f64 b 1/2) (log1p.f64 (exp.f64 a)))
(+.f64 (.f64 (.f64 b 1/2) 1) (log1p.f64 (exp.f64 a)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))) 1)
(*.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))) 1)
(*.f64 1 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))
(*.f64 (sqrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(*.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) (pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 2) (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(/.f64 (-.f64 (.f64 (.f64 b 1/2) (.f64 b 1/2)) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (-.f64 (.f64 b 1/2) (log1p.f64 (exp.f64 a))))
(/.f64 (+.f64 (pow.f64 (.f64 b 1/2) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (+.f64 (.f64 (.f64 b 1/2) (.f64 b 1/2)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (.f64 b 1/2) (log1p.f64 (exp.f64 a))))))
(pow.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))) 1)
(pow.f64 (sqrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))) 3) 1/3)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))) (sqrt.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))) 2)) (cbrt.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))))
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(sqrt.f64 (pow.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))) 2))
(log.f64 (exp.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))))
(cbrt.f64 (pow.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))) 3))
(expm1.f64 (log1p.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(log1p.f64 (expm1.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 2)) (log.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))) (log.f64 (sqrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))))
(+.f64 0 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))) 1)
(*.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 1)
(*.f64 1 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))) (sqrt.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))) 2) (cbrt.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))))
(pow.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 1)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))) 2)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))))
(exp.f64 (log.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))) 1))
(log1p.f64 (-.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))) 1))
(+.f64 (log1p.f64 (exp.f64 a)) (*.f64 b 1/2))
(+.f64 (*.f64 b 1/2) (log1p.f64 (exp.f64 a)))
(+.f64 (.f64 (.f64 b 1/2) 1) (log1p.f64 (exp.f64 a)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))) 1)
(*.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))) 1)
(*.f64 1 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))
(*.f64 (sqrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(*.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) (pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 2) (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(/.f64 (-.f64 (.f64 (.f64 b 1/2) (.f64 b 1/2)) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (-.f64 (.f64 b 1/2) (log1p.f64 (exp.f64 a))))
(/.f64 (+.f64 (pow.f64 (.f64 b 1/2) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (+.f64 (.f64 (.f64 b 1/2) (.f64 b 1/2)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (.f64 b 1/2) (log1p.f64 (exp.f64 a))))))
(pow.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))) 1)
(pow.f64 (sqrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))) 3) 1/3)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))) (sqrt.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))) 2)) (cbrt.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))))
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(sqrt.f64 (pow.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))) 2))
(log.f64 (exp.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))))
(cbrt.f64 (pow.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))) 3))
(expm1.f64 (log1p.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(exp.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(log1p.f64 (expm1.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))

Outputs
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(*.f64 1/2 b)
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 b))
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 b))
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 b))
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(*.f64 1/2 b)
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 b))
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 b))
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 b))
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (.f64 1/2 a) (+.f64 (.f64 1/2 b) (log.f64 2)))
(fma.f64 1/2 a (fma.f64 1/2 b (log.f64 2)))
(fma.f64 a 1/2 (fma.f64 1/2 b (log.f64 2)))
(fma.f64 1/2 (+.f64 a b) (log.f64 2))
(+.f64 (.f64 1/2 a) (+.f64 (.f64 1/2 b) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 a 2)))))
(fma.f64 1/2 a (+.f64 (fma.f64 1/2 b (log.f64 2)) (.f64 1/8 (.f64 a a))))
(fma.f64 a 1/2 (fma.f64 1/2 b (fma.f64 1/8 (*.f64 a a) (log.f64 2))))
(fma.f64 1/2 (+.f64 a b) (fma.f64 a (*.f64 a 1/8) (log.f64 2)))
(+.f64 (.f64 1/2 a) (+.f64 (.f64 1/2 b) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 a 4)) (.f64 1/8 (pow.f64 a 2))))))
(fma.f64 1/2 a (+.f64 (fma.f64 1/2 b (log.f64 2)) (fma.f64 -1/192 (pow.f64 a 4) (.f64 1/8 (.f64 a a)))))
(+.f64 (fma.f64 a 1/2 (fma.f64 1/2 b (log.f64 2))) (fma.f64 1/8 (.f64 a a) (.f64 -1/192 (pow.f64 a 4))))
(fma.f64 1/2 (+.f64 a b) (fma.f64 a (*.f64 a 1/8) (fma.f64 -1/192 (pow.f64 a 4) (log.f64 2))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(log.f64 (log.f64 (+.f64 1 (exp.f64 a))))
(log.f64 (log1p.f64 (exp.f64 a)))
(+.f64 (*.f64 1/2 (/.f64 b (log.f64 (+.f64 1 (exp.f64 a))))) (log.f64 (log.f64 (+.f64 1 (exp.f64 a)))))
(fma.f64 1/2 (/.f64 b (log1p.f64 (exp.f64 a))) (log.f64 (log1p.f64 (exp.f64 a))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 2) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2))) (+.f64 (.f64 1/2 (/.f64 b (log.f64 (+.f64 1 (exp.f64 a))))) (log.f64 (log.f64 (+.f64 1 (exp.f64 a))))))
(fma.f64 -1/8 (/.f64 (*.f64 b b) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (fma.f64 1/2 (/.f64 b (log1p.f64 (exp.f64 a))) (log.f64 (log1p.f64 (exp.f64 a)))))
(fma.f64 -1/8 (/.f64 b (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) b)) (fma.f64 1/2 (/.f64 b (log1p.f64 (exp.f64 a))) (log.f64 (log1p.f64 (exp.f64 a)))))
(fma.f64 1/2 (/.f64 b (log1p.f64 (exp.f64 a))) (fma.f64 -1/8 (/.f64 b (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) b)) (log.f64 (log1p.f64 (exp.f64 a)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 2) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2))) (+.f64 (.f64 1/2 (/.f64 b (log.f64 (+.f64 1 (exp.f64 a))))) (+.f64 (log.f64 (log.f64 (+.f64 1 (exp.f64 a)))) (*.f64 1/24 (/.f64 (pow.f64 b 3) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 3))))))
(fma.f64 -1/8 (/.f64 (.f64 b b) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (+.f64 (fma.f64 1/2 (/.f64 b (log1p.f64 (exp.f64 a))) (log.f64 (log1p.f64 (exp.f64 a)))) (.f64 1/24 (/.f64 (pow.f64 b 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)))))
(fma.f64 -1/8 (/.f64 b (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) b)) (fma.f64 1/2 (/.f64 b (log1p.f64 (exp.f64 a))) (fma.f64 1/24 (/.f64 (pow.f64 b 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (log.f64 (log1p.f64 (exp.f64 a))))))
(fma.f64 1/2 (/.f64 b (log1p.f64 (exp.f64 a))) (fma.f64 -1/8 (/.f64 b (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) b)) (fma.f64 1/24 (pow.f64 (/.f64 b (log1p.f64 (exp.f64 a))) 3) (log.f64 (log1p.f64 (exp.f64 a))))))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 b))))
(+.f64 (log.f64 1/2) (neg.f64 (neg.f64 (log.f64 b))))
(+.f64 (log.f64 1/2) (log.f64 b))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (log.f64 1/2) (.f64 2 (/.f64 (log.f64 (+.f64 1 (exp.f64 a))) b))))
(fma.f64 -1 (neg.f64 (log.f64 b)) (+.f64 (log.f64 1/2) (*.f64 2 (/.f64 (log1p.f64 (exp.f64 a)) b))))
(+.f64 (log.f64 b) (fma.f64 2 (/.f64 (log1p.f64 (exp.f64 a)) b) (log.f64 1/2)))
(+.f64 (log.f64 1/2) (fma.f64 2 (/.f64 (log1p.f64 (exp.f64 a)) b) (log.f64 b)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (pow.f64 b 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (log.f64 1/2) (*.f64 2 (/.f64 (log.f64 (+.f64 1 (exp.f64 a))) b)))))
(fma.f64 -2 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 b b)) (fma.f64 -1 (neg.f64 (log.f64 b)) (+.f64 (log.f64 1/2) (.f64 2 (/.f64 (log1p.f64 (exp.f64 a)) b)))))
(fma.f64 -2 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 b b)) (+.f64 (log.f64 b) (fma.f64 2 (/.f64 (log1p.f64 (exp.f64 a)) b) (log.f64 1/2))))
(+.f64 (fma.f64 2 (/.f64 (log1p.f64 (exp.f64 a)) b) (log.f64 1/2)) (fma.f64 (/.f64 -2 b) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) b) (log.f64 b)))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 3) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (pow.f64 b 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (log.f64 1/2) (.f64 2 (/.f64 (log.f64 (+.f64 1 (exp.f64 a))) b))))))
(fma.f64 8/3 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 b 3)) (fma.f64 -2 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 b b)) (fma.f64 -1 (neg.f64 (log.f64 b)) (+.f64 (log.f64 1/2) (.f64 2 (/.f64 (log1p.f64 (exp.f64 a)) b))))))
(fma.f64 8/3 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 b 3)) (fma.f64 -2 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 b b)) (+.f64 (log.f64 b) (fma.f64 2 (/.f64 (log1p.f64 (exp.f64 a)) b) (log.f64 1/2)))))
(fma.f64 8/3 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) 3) (+.f64 (fma.f64 2 (/.f64 (log1p.f64 (exp.f64 a)) b) (log.f64 1/2)) (fma.f64 (/.f64 -2 b) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) b) (log.f64 b))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1/2))
(fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1/2))
(-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 b)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1/2) (.f64 2 (/.f64 (log.f64 (+.f64 1 (exp.f64 a))) b))))
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1/2)) (*.f64 2 (/.f64 (log1p.f64 (exp.f64 a)) b)))
(-.f64 (fma.f64 2 (/.f64 (log1p.f64 (exp.f64 a)) b) (log.f64 -1/2)) (log.f64 (/.f64 -1 b)))
(fma.f64 2 (/.f64 (log1p.f64 (exp.f64 a)) b) (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 b))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1/2) (+.f64 (.f64 -2 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (pow.f64 b 2))) (*.f64 2 (/.f64 (log.f64 (+.f64 1 (exp.f64 a))) b)))))
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1/2)) (fma.f64 -2 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 b b)) (.f64 2 (/.f64 (log1p.f64 (exp.f64 a)) b))))
(+.f64 (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 b))) (fma.f64 2 (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 (.f64 -2 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (.f64 b b))))
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(log.f64 (fma.f64 1/2 b (log1p.f64 (exp.f64 a))))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 2))
(log.f64 (fma.f64 1/2 b (log1p.f64 (exp.f64 a))))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 3))
(log.f64 (fma.f64 1/2 b (log1p.f64 (exp.f64 a))))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))))
(log.f64 (fma.f64 1/2 b (log1p.f64 (exp.f64 a))))
(exp.f64 (log.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))))
(log.f64 (fma.f64 1/2 b (log1p.f64 (exp.f64 a))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))) 1))
(log.f64 (fma.f64 1/2 b (log1p.f64 (exp.f64 a))))
(log1p.f64 (-.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))) 1))
(log.f64 (fma.f64 1/2 b (log1p.f64 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (*.f64 b 1/2))
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(+.f64 (*.f64 b 1/2) (log1p.f64 (exp.f64 a)))
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(+.f64 (.f64 (.f64 b 1/2) 1) (log1p.f64 (exp.f64 a)))
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))) 1)
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(*.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))) 1)
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(*.f64 1 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(*.f64 (sqrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(*.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) (pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 2))
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 2) (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(/.f64 (-.f64 (.f64 (.f64 b 1/2) (.f64 b 1/2)) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (-.f64 (.f64 b 1/2) (log1p.f64 (exp.f64 a))))
(/.f64 (-.f64 (.f64 (.f64 b b) 1/4) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (-.f64 (*.f64 1/2 b) (log1p.f64 (exp.f64 a))))
(/.f64 (-.f64 (.f64 b (.f64 1/4 b)) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (-.f64 (*.f64 1/2 b) (log1p.f64 (exp.f64 a))))
(/.f64 (+.f64 (pow.f64 (.f64 b 1/2) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (+.f64 (.f64 (.f64 b 1/2) (.f64 b 1/2)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (.f64 b 1/2) (log1p.f64 (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (.f64 (pow.f64 b 3) 1/8)) (+.f64 (.f64 (.f64 b b) 1/4) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 b (*.f64 1/2 (log1p.f64 (exp.f64 a)))))))
(/.f64 (fma.f64 (pow.f64 b 3) 1/8 (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (fma.f64 b (.f64 1/4 b) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 1/2 b)))))
(/.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (fma.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (.f64 b -1/2)) (.f64 (*.f64 b b) 1/4)))
(pow.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))) 1)
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(pow.f64 (sqrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 2)
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 3)
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(pow.f64 (pow.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))) 3) 1/3)
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))) (sqrt.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))))
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))) 2)) (cbrt.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))))
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(sqrt.f64 (pow.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))) 2))
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(log.f64 (exp.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))))
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(cbrt.f64 (pow.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))) 3))
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(expm1.f64 (log1p.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(exp.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(log1p.f64 (expm1.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))

eval357.0ms (2.1%)

Compiler: Compiled 18518 to 14617 computations (21.1% saved)

prune123.0ms (0.7%)

Pruning

21 alts after pruning (15 fresh and 6 done)

	Pruned	Kept	Total
New	608	4	612
Fresh	0	11	11
Picked	1	0	1
Done	1	6	7
Total	610	21	631

Error

0.4b

Counts

631 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	27.7b	(pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 3)
	31.1b	(/.f64 b (+.f64 (exp.f64 a) 1))
	32.4b	(+.f64 (+.f64 (fma.f64 1/2 a (log.f64 2)) (.f64 1/8 (.f64 a a))) (/.f64 b 2))
✓	32.2b	(+.f64 (+.f64 (*.f64 1/2 a) (log.f64 2)) (/.f64 b 2))
	31.7b	(+.f64 (*.f64 1/2 b) (log.f64 2))
	61.6b	(+.f64 (*.f64 1/2 a) (/.f64 b 2))
	32.3b	(+.f64 (*.f64 1/2 a) (log.f64 (+.f64 2 b)))
✓	32.7b	(+.f64 (*.f64 1/2 a) (log.f64 2))
✓	26.6b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b 2))
✓	56.3b	(*.f64 1/2 b)
	33.0b	(log1p.f64 (+.f64 (+.f64 b a) 1))
	3.3b	(log1p.f64 (+.f64 (exp.f64 a) b))
	31.0b	(log1p.f64 (exp.f64 b))
✓	31.4b	(log1p.f64 (exp.f64 a))
	31.9b	(log.f64 (+.f64 b 2))
	33.5b	(log.f64 (+.f64 2 a))
✓	32.3b	(log.f64 2)
	26.7b	(expm1.f64 (log1p.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
	60.6b	(exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (log.f64 1/2) (.f64 2 (/.f64 (log.f64 (+.f64 1 (exp.f64 a))) b)))))
	60.6b	(exp.f64 (+.f64 (log.f64 1/2) (fma.f64 2 (/.f64 (log1p.f64 (exp.f64 a)) b) (log.f64 b))))
	31.8b	(exp.f64 (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))

Compiler

Compiled 195 to 159 computations (18.5% saved)

regimes66.0ms (0.4%)

Counts

40 → 1

Calls

Call 1

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

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

Calls

6 calls:

18.0ms	a
18.0ms	b
6.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(exp.f64 b)

Results

Error	Segments	Branch
1.3b	1	`a`
1.3b	1	`b`
1.3b	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
1.3b	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
1.3b	1	`(exp.f64 a)`
1.3b	1	`(exp.f64 b)`

Compiler

Compiled 438 to 275 computations (37.2% saved)

regimes77.0ms (0.5%)

Counts

27 → 2

Calls

Call 1

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

24.0ms	a
24.0ms	b
7.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
6.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(exp.f64 b)

Results

Error	Segments	Branch
0.6b	2	`a`
1.8b	2	`b`
1.2b	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
1.2b	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
0.6b	2	`(exp.f64 a)`
1.8b	2	`(exp.f64 b)`

Compiler

Compiled 204 to 138 computations (32.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	7.295931364124481e-7

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes62.0ms (0.4%)

Counts

26 → 2

Calls

Call 1

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

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:

23.0ms	a
23.0ms	b
5.0ms	(exp.f64 b)
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
1.3b	2	`a`
2.0b	2	`b`
1.3b	2	`(exp.f64 a)`
2.0b	2	`(exp.f64 b)`

Compiler

Compiled 183 to 125 computations (31.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	7.295931364124481e-7

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes58.0ms (0.3%)

Counts

24 → 2

Calls

Call 1

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

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

Calls

4 calls:

22.0ms	a
22.0ms	b
6.0ms	(exp.f64 b)
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
1.4b	2	`a`
2.0b	2	`b`
1.4b	2	`(exp.f64 a)`
2.0b	2	`(exp.f64 b)`

Compiler

Compiled 155 to 106 computations (31.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	7.295931364124481e-7

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes63.0ms (0.4%)

Counts

21 → 2

Calls

Call 1

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

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

Calls

4 calls:

28.0ms	b
19.0ms	a
8.0ms	(exp.f64 b)
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
1.4b	2	`a`
21.4b	2	`b`
1.4b	2	`(exp.f64 a)`
28.5b	3	`(exp.f64 b)`

Compiler

Compiled 136 to 97 computations (28.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	7.295931364124481e-7

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes51.0ms (0.3%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

3 calls:

26.0ms	b
17.0ms	a
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
1.9b	2	`a`
20.8b	3	`b`
1.9b	2	`(exp.f64 a)`

Compiler

Compiled 119 to 86 computations (27.7% saved)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
12.0ms	-14.130778805559968	-1.0527287192637365

Results

10.0ms

96×

body

256

valid

Compiler

Compiled 145 to 118 computations (18.6% saved)

regimes42.0ms (0.3%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	b
15.0ms	a
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
2.0b	2	`a`
20.8b	3	`b`
2.0b	2	`(exp.f64 a)`

Compiler

Compiled 82 to 59 computations (28% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.295931364124481e-7	0.34898416885214756

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes40.0ms (0.2%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	b
14.0ms	a
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
2.0b	2	`a`
20.8b	3	`b`
2.0b	2	`(exp.f64 a)`

Compiler

Compiled 74 to 53 computations (28.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.34898416885214756	0.9983157083663816

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes21.0ms (0.1%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	a
6.0ms	b

Results

Error	Segments	Branch
27.2b	2	`a`
31.7b	1	`b`

Compiler

Compiled 58 to 43 computations (25.9% saved)

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	-1.0527287192637365	-0.0016857116474741844

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 133 to 106 computations (20.3% saved)

regimes17.0ms (0.1%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	a
6.0ms	b

Results

Error	Segments	Branch
27.2b	2	`a`
31.9b	1	`b`

Compiler

Compiled 40 to 29 computations (27.5% saved)

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	-1.0527287192637365	-0.0016857116474741844

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 133 to 106 computations (20.3% saved)

regimes16.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	a
5.0ms	b

Results

Error	Segments	Branch
27.4b	2	`a`
31.9b	1	`b`

Compiler

Compiled 34 to 25 computations (26.5% saved)

bsearch18.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	-3218.4197099978696	-14.130778805559968

Results

13.0ms	99×	body	256	valid
3.0ms	13×	body	512	valid

Compiler

Compiled 104 to 87 computations (16.3% saved)

regimes13.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	a
4.0ms	b

Results

Error	Segments	Branch
27.7b	2	`a`
32.3b	1	`b`

Compiler

Compiled 26 to 19 computations (26.9% saved)

bsearch17.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	-1.0527287192637365	-0.0016857116474741844

Results

15.0ms

128×

body

256

valid

Compiler

Compiled 117 to 98 computations (16.2% saved)

regimes12.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	a
4.0ms	b

Results

Error	Segments	Branch
27.9b	2	`a`
32.3b	1	`b`

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch17.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	-3218.4197099978696	-14.130778805559968

Results

12.0ms	100×	body	256	valid
3.0ms	12×	body	512	valid

Compiler

Compiled 90 to 80 computations (11.1% saved)

regimes8.0ms (0%)

Accuracy

Total -5.3b remaining (-9.4%)

Threshold costs -5.3b (-9.4%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 1/2 b)

Calls

2 calls:

3.0ms	a
3.0ms	b

Results

Error	Segments	Branch
56.3b	1	`a`
56.3b	1	`b`

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	524
1	89	524

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(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))) (log1p.f64 (+.f64 (exp.f64 a) b)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 a -3152519739159347/2251799813685248) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (+.f64 (*.f64 1/2 a) (log.f64 2)) (/.f64 b 2)))
(if (<=.f64 (exp.f64 a) 4722366482869645/4722366482869645213696) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 a) (log.f64 (+.f64 2 b))))
(if (<=.f64 (exp.f64 a) 1/2) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (+.f64 (+.f64 b a) 1)))
(if (<=.f64 a -1) (*.f64 1/2 b) (log1p.f64 (+.f64 (+.f64 b a) 1)))
(if (<=.f64 a -1) (*.f64 1/2 b) (log.f64 (+.f64 b (+.f64 2 a))))
(if (<=.f64 a -95) (*.f64 1/2 b) (log.f64 (+.f64 2 b)))
(if (<=.f64 a -1) (*.f64 1/2 b) (log.f64 (+.f64 2 a)))
(if (<=.f64 a -75) (*.f64 1/2 b) (log.f64 2))
(*.f64 1/2 b)

Outputs
(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))) (log1p.f64 (+.f64 (exp.f64 a) b)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (+.f64 (exp.f64 a) b)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 b)))
(if (<=.f64 a -3152519739159347/2251799813685248) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (+.f64 (*.f64 1/2 a) (log.f64 2)) (/.f64 b 2)))
(if (<=.f64 a -3152519739159347/2251799813685248) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (+.f64 (*.f64 a 1/2) (log.f64 2)) (/.f64 b 2)))
(if (<=.f64 (exp.f64 a) 4722366482869645/4722366482869645213696) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 a) (log.f64 (+.f64 2 b))))
(if (<=.f64 (exp.f64 a) 4722366482869645/4722366482869645213696) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (*.f64 a 1/2) (log.f64 (+.f64 b 2))))
(if (<=.f64 (exp.f64 a) 1/2) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (+.f64 (+.f64 b a) 1)))
(if (<=.f64 (exp.f64 a) 1/2) (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (+.f64 1 (+.f64 a b))))
(if (<=.f64 a -1) (*.f64 1/2 b) (log1p.f64 (+.f64 (+.f64 b a) 1)))
(if (<=.f64 a -1) (*.f64 b 1/2) (log1p.f64 (+.f64 1 (+.f64 a b))))
(if (<=.f64 a -1) (*.f64 1/2 b) (log.f64 (+.f64 b (+.f64 2 a))))
(if (<=.f64 a -1) (*.f64 b 1/2) (log.f64 (+.f64 b (+.f64 a 2))))
(if (<=.f64 a -95) (*.f64 1/2 b) (log.f64 (+.f64 2 b)))
(if (<=.f64 a -95) (*.f64 b 1/2) (log.f64 (+.f64 b 2)))
(if (<=.f64 a -1) (*.f64 1/2 b) (log.f64 (+.f64 2 a)))
(if (<=.f64 a -1) (*.f64 b 1/2) (log.f64 (+.f64 a 2)))
(if (<=.f64 a -75) (*.f64 1/2 b) (log.f64 2))
(if (<=.f64 a -75) (*.f64 b 1/2) (log.f64 2))
(*.f64 1/2 b)
(*.f64 b 1/2)

Compiler

Compiled 221 to 157 computations (29% saved)

soundness86.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 24 to 15 computations (37.5% saved)

end109.0ms (0.6%)

Compiler: Compiled 233 to 146 computations (37.3% saved)